WATER QUALITY TREND AT THE UPPER PART OF JOHOR RIVER IN RELATION TO RAINFALL AND RUNOFF PATTERN HASMIDA BINTI HAMZA A thesis submitted in fulfillment of the requirement for the award of the degree of Master of Civil Engineering (Hydraulic and Hydrology by Course Work) Faculty of Civil Engineering Universiti Teknologi Malaysia JUNE, 2009 ii To my late father, my beloved mother, my ever-loving family and friends iii ACKNOWLEDGEMENTS I wish to express my deep appreciation to my research supervisor Associate Professor Ir Dr Ayob Katimon for his continual guidance and encouragement during the preparation of this research thesis. I also wish to express my thanks to Department of Irrigation and Drainage (DID), Johor and Syarikat Air Johor (SAJH) for their permission to use the hydrological and water quality data respectively in this present study. To all of my friends, thank you very much for their willingness to help, valuable ideas and opinion, support and courage. I deeply express my appreciation to my beloved mother, Marwa Binti Halik, my sister, Kak Hasmah and to all of my ever-loving family for their love, care, support, great patience and everything. Thank you very much! iv ABSTRACT Due to the fact that rainfall and runoff have a vital relationship to water quality, these hydrological variables are among the most dominants controlling factor on the variation of water quality. Trend analysis on time series data has proved to be a useful tool for effective water resources planning, design, and management since trend detection of hydrological variables such as streamflow and precipitation provides useful information on the possibility of change tendency of the variables in the future. Both ARIMA modelling approach (parametric method) and Mann-Kendall test (nonparametric method) were applied to analyses the water quality and rainfall-runoff data for Johor River recorded for a long period (2004 to 2007). SPSS Statistical Packages Software was used in performing ARIMA time series modelling and Microsoft Excel function was used for Mann-Kendall (MK) test. This study aims to investigate the water quality trend over a long period particularly at the upper part of the Johor River in relation to rainfall and runoff pattern using both parametric and non-parametric method. This study focusing on four parameters of nutrient types of pollutant (NH4, turbidity, colour and SS) and four parameters of chemical types of pollutant (PH, Al, Mn, Fe). Nutrient and chemical types of pollutant is more significant as major land use surrounding Johor River is agricultural activities and eroded river corridor problem was observed. MK test shows that all of the parameters investigated are significant at 95% confidence limit. Increasing trend was observed for turbidity, colour and SS while decreasing trend in PH, Al, Mn and Fe. Probability (P) value obtained is zero and others gave value near to zero shows that all of the water quality parameters have quiet similar trend with rainfall and flow. The results from the fitted ARIMA models indicate that all of the water quality parameter investigated was generated by AutoRegressive Integrated Moving Average (ARIMA) processes ranges from ARIMA (1,1,1) to (2,1,2). Colour, Turbidity, SS, NH4 and Mn follow a similar trend with rainfall-runoff pattern while PH, Al and Fe have the opposite trend compare to rainfall-runoff pattern. v ABSTRAK Berdasarkan fakta yang menyatakan bahawa hujan dan air larian mempunyai hubungan yang sangat penting terhadap kualiti air, pembolehubah-pembolehubah hidrologi ini adalah di antara faktor kawalan yang paling utama ke atas perubahan kualiti air. Trend analysis terhadap data siri masa telah dibuktikan sebagai sebuah alat untuk perancangan sumber air secara efektif, rekabentuk dan pengurusan, kerana pengesanan corak naik-turun bagi parameter-parameter hidrologi seperti hujan dan pergerakan air menyediakan maklumat berguna mengenai kemungkinan berlaku perubahan pada parameter-parameter hidrologi ini pada masa akan datang. Kedua-dua kaedah iaitu permodelan ARIMA (kaedah parametrik) dan Ujian Mann-Kendall (kaedah bukan parametrik) telah diaplikasikan untuk menganalisa data kualiti air dan data hujan-air larian bagi Sungai Johor yang telah direkodkan pada satu tempoh yang panjang (2004 hingga 2007). SPSS Statistical Packages Software telah digunakan dalam menjalankan permodelan siri masa ARIMA dan Microsoft Excel telah digunakan untuk Ujian MannKendall (MK). Kajian ini bermatlamat untuk mengkaji corak kualiti air berhubungan dengan corak hujan dan air larian pada tempoh yang panjang terutamanya di bahagian atas Sungai Johor dengan menggunakan kedua-dua kaedah parametrik dan bukan parametrik. Kajian ini telah memfokuskan kepada lapan parameter kualiti air. Nutrient dan bahan pencemar jenis kimia adalah lebih penting memandangkan guna tanah terbesar di sekitar Sungai Johor ialah aktiviti pertanian dan masalah hakisan tebing sungai telah dikesan. Ujian Mann-Kendall menunjukkan bahawa semua parameter yang telah dikaji adalah penting pada 95% had keyakinan. Corak meningkat telah diperhatikan pada parameter kekeruhan (turbidity), warna (colour) dan endapan terapung (SS) manakala corak menurun bagi PH, Al, Mn dan Fe. Nilai kebarangkalian (P) yang diperolehi ialah kosong dan menghampiri kosong menunjukkan bahawa semua parameter kualiti air yang dikaji mempunyai corak yang hampir sama dengan corak hujan dan air larian. Keputusan daripada model ARIMA yang terbaik menunjukkan bahawa semua parameter yang telah dikaji dihasilkan oleh proses AutoRegressive Integrated Moving Average (ARIMA) di antara ARIMA (1,1,1) hingga (2,1,2). Warna (colour), kekeruhan (turbidity), endapan terapung (SS), NH4 and Mn mempunyai corak yang sama dengan corak hujan-air larian manakala PH, Al dan Fe mempunyai corak yang berlawanan dengan corak hujan-air larian. vi TABLE OF CONTENTS CHAPTER PAGE THESIS TITLE DECLARATION SHEET i DEDICATION ii ACKNOWLEDGEMENTS iii ABSTRACT iv ABSTRAK v TABLE OF CONTENTS vi LIST OF FIGURES x LIST OF TABLES xi LIST OF SYMBOLS AND ABREVIATIONS xii LIST OF APPENDICES xiii CHAPTER I INTRODUCTION 1.1 Introduction 1 1.2 Background of Study 3 1.3 Problem Statement 3 1.4 Aims of Study 7 1.5 Objectives of Study 7 1.6 Scope of Study 7 vii 1.7 Limitation of Study 8 1.8 Significant of Study 8 CHAPTER II STUDY AREA DESCRIPTION 2.1 Introduction 9 2.2 Study Area 9 2.3 Water Resources 11 2.4 Land Use 11 CHAPTER III LITERATURE REVIEW 3.1 Introduction 13 3.2 Water quality parameter 13 3.2.1 PH 14 3.2.2 Turbidity 14 3.2.3 Suspended sediment (SS) 14 3.2.4 Trace elements (Fe, Al and Mn) 14 3.2.5 Ammonium (NH4) 15 3.2.6 Colour 15 3.3 Rainfall-runoff Relationship 15 3.4 Time Series Data 17 3.5 Previous studies 17 3.5.1 18 Previous Study on Mann-Kendall Test 3.5.2 Previous Study on Water Quality and ARIMA Modelling 20 viii CHAPTER IV RESEARCH SITE METHODOLOGY 4.1 Introduction 22 4.2 Mann-Kendall Test Procedure 22 4.3 Theory of ARIMA Modeling Approach 23 4.4 Model Assumptions 24 4.4.1 Data Stationarity 24 4.4.2 Normal Distribution 25 4.4.3 Outlier 25 4.4.4 Missing Data 26 4.5 CHAPTER V ARIMA Modelling Procedures 27 4.5.1 Model Identification 27 4.5.2 Model Parameters Estimation 28 4.5.3 Diagnostic Checking 28 DATA COLLECTION AND ANALYSIS 5.1 Introduction 30 5.2 Types and Sources of Time Series Data 30 5.2.1 Hydrological Data 31 5.2.2 Water Quality Data 31 5.3 Example of Mann-Kendall Test 31 5.4 Example of ARIMA Modelling 34 5.4.1 Model Identification for PH 2004 34 5.4.2 Estimation of Model Parameter for PH 2004 36 5.4.3 Diagnostic Checking for PH 2004 37 5.4.4 Best Fitted ARIMA Model Equation 39 ix CHAPTER VI RESULT AND DISSCUSSION 6.1 Rainfall-runoff Pattern 40 6.2 Correlation between Rainfall-Flow and Water Quality 41 6.3 Water Quality-Rainfall and Water Quality-Flow Trend 42 6.4 Best Fitted ARIMA Model 46 6.5 Water Quality Trend Using ARIMA 52 6.5.1 55 CHAPTER VII Discussion on the Water Quality Trend CONCLUSION AND RECOMMENDATION 7.1 Introduction 58 7.2 Recommendation 59 REFERENCES 60 APPENDICES 66 x LIST OF FIGURES No Title Page 1.1 Typical Johore River Corridor 6 1.2 Eroded River Corridor 6 2.1 Map of Johore River 10 2.2 Johore River and Its Surrounding 12 3.1 Schematic representation of watershed hydrology 16 3.2 Block diagram of watershed hydrological processes and storage 17 4.1 Histogram shows outliers in a set of observation 26 5.1 Procedures for determination of descriptive statistic of the 33 variables investigated for Mann-Kendall analysis 5.2 Procedures for determination of z-score of the variables 34 investigated for Mann-Kendall analysis 5.3 Plots of the Original Data for PH Series at Year 2004 35 5.4 Analyse Tools in SPSS for estimation of model parameter 36 5.5 ACF and PACF Plot of Error for Best Fitted Model, PH (2004) 38 5.6 Plot of Residual 38 xi LIST OF TABLES No Title Page 2.1 Main Land Use at Johor River 11 5.1 Possible ARIMA Model for PH (2004) 37 6.2 (a) Correlation between Water Quality and Rainfall 42 6.2 (b) Correlation between Water Quality and Flow 42 6.3 Correlation among Parameter Investigated 42 6.4 Result Summary from Mann Kendall Analyses of Water 43 Quality and Rainfall Parameter 6.5 Result Summary from Mann Kendall Analyses of Water 44 Quality and Flow Parameter 6.6 (a) Best Fitted ARIMA Model for PH Parameter 46 6.6 (b) Best Fitted ARIMA Model for Colour Parameter 46 6.6 (c) Best Fitted ARIMA Model for Turbidity Parameter 47 6.6 (d) Best Fitted ARIMA Model for Alluminium (Al) Parameter 47 6.6 (e) Best Fitted ARIMA Model for Iron (Fe) Parameter 48 6.6 (f) Best Fitted ARIMA Model for Ammonium (NH4) Parameter 48 6.6 (g) Best Fitted ARIMA Model for Manganese (Mn) Parameter 48 6.6 (h) Best Fitted ARIMA Model for Suspended Solid (SS) Parameter 49 6.7 (a) PH Trend 53 6.7 (b) Iron (FE) Trend 53 6.7 (c) Alluminium (AL) Trend 53 6.7 (d) Colour Trend 54 6.7 (e) Turbidity Trend 54 6.7 (f) Ammonium (NH4) Trend 54 6.7 (g) Manganese (MN) Trend 55 6.7 (h) Suspended Solid (SS) Trend 55 xii LIST OF SYMBOLS AND ABREVIATIONS a Standard deviation AR coefficient MA coefficient ACF Autocorrelation function AIC Aikaike Information Criteria ARIMA Autoregressive Integrated Moving Average at Residual series B Back shift operator C Model constant ck Autocovariance at lag k d Degree of differencing DID Department of Irrigation and Drainage FELDA MARDI Malaysian Agricultural Research and Development Institute Nt Noise series OLS Ordinary Least Square p AR parameter PACF Partial Autocorrelation Function Xt Input series (endogenous series) Yt Output series (exogenous series) xiii LIST OF APPENDICES No Title Page A Flowchart of Methodology 66 B Daily Hydrological and Water Quality Data 67 C Output from Microsoft Excel Data Analysis 106 D Sequence Plot, Histogram, ACF and PACF Plot of the Original 114 Data for PH E Sequence Plot, Histogram, ACF and PACF Plot of the Original 117 Data for Colour F Sequence Plot, Histogram, ACF and PACF Plot of the Original 121 Data for Turbidity G Sequence Plot, Histogram, ACF and PACF Plot of the Original 125 Data for Al H Sequence Plot, Histogram, ACF and PACF Plot of the Original 129 Data for Fe I Sequence Plot, Histogram, ACF and PACF Plot of the Original 133 Data for NH4 J Sequence Plot, Histogram, ACF and PACF Plot of the Original 137 Data for Mn K Sequence Plot, Histogram, ACF and PACF Plot of the Original 141 Data for SS L Example of Output Generated From SPSS 144 M Diagnostic Checking 148 1 CHAPTER I INTRODUCTION 1.1 Introduction Long-term trend of water quality and hydrological parameters (rainfallrunoff) in natural systems reveal information about physical, chemical and biological changes and variations due to manmade and seasonal interventions. Trend analysis on time series data has proved to be a useful tool for effective water resources planning, design, and management (Burn and Hag Elnur, 2002; Gan, 1998; Lins and Slack, 1999; Douglas et al., 2000; Hamilton et al., 2001; Yue and Hashino, 2003; and others) since trend detection of hydrological variables such as streamflow and precipitation provides a useful information on the possibility of change tendency of the variables in the future (Yue and Wang, 2004). Abu Farah (2006) mentioned that trend analysis is a formal approach in deciding whether an apparent change in water quality is likely due to random noise or to an actual underlying change in the ecosystem. Both parametric and non-parametric tests are commonly used for trend analysis. Parametric trend tests are more powerful than nonparametric ones, but they require data to be independent and normally distributed. On the other hand, nonparametric trend tests require only that the data be independent and can tolerate outliers in the data. One of the widely used non-parametric tests for detecting trends in the time series is the Mann Kendall test (Mann, 1945; Kendall, 1955). General 2 relationship of the water quality-rainfall and water quality-flow can be obtained by the probability (P) value. P equal to zero means that the probability that different in trend of two variables investigated is zero. Hence, they have similar trend. This method has been used by many researchers (A.W Kenneth and G.P Robert, 2006; Yue and Wang, 2004; Abu Farah, 2006 and others) from various disciplines. The majority of the previous studies have assumed that sample data are serially independent. It is known that some hydrological time series such as water quality and streamflow time series may show serial correlation (Yue and Wang, 2004). In such a case, the existence of serial correlation component such as an autoregressive (AR) process from a time series will affect the ability of the Mann-Kendall test to assess the significance of trend (Von Storch, 1995). Besides, these parameters change continually through time, arise from dynamic processes and consist of random error components with stochastic variations in space and time (Anpalaki et. al., 2006) that cannot be explained by normal analytical procedure. Besides, water quality and hydrological time series with long-term trend, when recorded by any consistent time interval, will display some measure of auto-correlation. This is expected to affect the p-values derived from autoregressive and q-values from the moving average model parameters in a time series ARIMA modeling approach. Autoregressive (AR) component of the model represent the relationship between present and past observations. General relationship of water quality parameter and rainfall-runoff parameter can be obtained by comparing the annual runoff coefficient with AR coefficient of each parameter investigated. This approach can also adequately represent the relationship of observed data using few parameters (Box et.al., 1994). Though the main aim of such effort is directed towards obtaining suitable dynamic models for predicting future value, through transfer function modeling approaches, dynamic relationship between hydrological and water quality parameters could be obtained. ARIMA modelling approach are extensively used for modelling of seasonal or nonseasonal time series data from various disciplines, such as hydrology, economic, environment, politics, etc. (McLeod, 1978), (Lee et.al., 2000), (Liu et. al., 3 2001), and (Slini et. al., 2002). Both Mann-Kendall test and ARIMA modelling were performed in this study to determine the water quality and rainfall-runoff trend and their relationship. 1.2 Background of Study This study was concerned on the determination of water quality trend at the upper part of Johore River in relation to rainfall and runoff pattern. Study area description can be found in Chapter 2 of this report. The study processes are including site visit, data collection, Mann-Kendall analysis and ARIMA time series or trend analysis. The methodology procedures were discussed in Chapter 4. Eight (8) water quality parameters were modelled to see their variation when rainfall and runoff changed. The water quality parameters investigated are the PH level, Aluminium (Al), Manganese (Mn), Ferum (Fe), Ammonium (NH4), turbidity, colour and suspended solid (SS). The climax of this study occurred on the modelling stage whereas the aims and the objectives of the study were achieved. Mann-Kendall test and ARIMA modelling approach was applied in this stage and was performed using Microsoft Excel function and SPSS Statistical Packages respectively. 1.3 Problem Statement Johore River is the main river which is situated in Johor River basin. The resources of this river are increasingly being used as the raw water to satisfy the clean water supply demand not only for Johore State but also for Singapore. It also a fascinating place for tourist where the beautiful presence of fireflies glowing in the thousands here. These mesmerizing insects are found in abundance on the 4 berembang trees that line the banks of the Johore River. Hence, the water quality of this river should maintain clean. Based on the Environmental Quality Report (DOE, 2007), Johore River Basin was categorized as slightly polluted river basin. As reported, Johore River still considered clean which is fall into Type II (Water Quality Standard Malaysia). However, two of its tributaries (Lebam River and Tiram River) are categorized as slightly polluted river. Quick action should be taken to assess the level of water quality of the Johore River. Therefore, some prevention action could be made to control the pollution by the aims of maintaining its river water quality status or if possible improved its water quality. Other problem is eroded and disturbed of river corridor as shown in Figure 1.1 and Figure 1.2 below. Then, soil detachment process from the river bank may have the possibility to cause turbid water when some amounts of materials such as clay, silt, organic and inorganic matter enter the river. Eroded soil particles also carry associated pollutants that are harmful to the ecology of receiving water bodies and to human being (Vladimir, 2003). This is probably implied that the increasing amount of rainfall might have a significant effect to the water quality parameters (Feng et. al., 2007). Vladimir (2003) also mentioned that pollution from diffuse sources is driven by meteorological events that include at atmospheric transport for local, regional, global and precipitation. Crapper et al. (1999) also suggested that rainfall is probably the most widely measured meteorological parameter and is one of the major determinants of erosion. Supported by Feng (2007), mentioned that increasing of rainfall in a wet season could result in rising of discharge flow and concentration of Total Suspended Solid (TSS). Increase suspended sediment and turbidity can directly affect aquatic organisms, alter stream grade, contribute to flooding, and transport a large nutrient flux (Sigler et al., 1984). Vladimir (2003), presented works by U.S. Agricultural Research Centres following the devastating Dust Bowl erosion of farmland during 5 1930s, based on their measurements it was found that general land disturbance by agriculture can increase erosion rates by two or more orders of magnitude. Fertilizer used in the agriculture activities also the major pollutant in water quality. Then, although mining is not widespread as agriculture, water quality impairment resulting from mining is usually more harmful. The water quality, however, also will be affected by stream flow volumes, both concentrations and total loads (Lunchakorn et al., 2008). Their cited such the research conducted in Finland indicates that changes in stream water quality, in terms of eutrophication and nutrient transport, are very dependent on changes in stream flow and a reduction in stream flow might lead to increase in peak concentrations of certain chemical compounds. Besides, according to the hydrological cycle, when the precipitation increases, it results in accumulation of rainfall in rivers. These facts show that rainfall and runoff have a vital relationship to the water quality. In fact, these hydrological variables are among the most dominants controlling factor on the variation of water quality. Understanding of this relationship in Johor River system is a vital key toward an optimal management of its resources. Analyses on daily water quality data together with the rainfall-runoff data as the primary investigation might gave a clear view of this relationship. However, it is difficult to quantify because it involves multi-inter-related variables and these parameters change continually through time, arise from dynamic processes and consist of random error components with stochastic variations in space and time that cannot be modeled or explained by normal analytical procedures. Hence, it is very difficult to incorporate the effects of all these factors in any single calculation. Therefore, ARIMA and transfer function modelling which is capable to model the trend and identified the water quality and rainfall-runoff relationship was applied in this study. This study was focusing on four parameters of nutrient types of pollutant (NH4, turbidity, colour and suspended solid) and four parameters of chemical types of pollutant (PH, Al, Mn, Fe). Nutrient and chemical types of pollutant is more significant as major land use surrounding Johore River is agricultural activities. 6 Eroded river bank might also affect by this activities and or by other activities such as sand mining and land reclamation activities. Figure 1.1: Typical Johore River Corridor. Figure 1.2: Eroded River Corridor 7 1.4 Aims of Study The study aims to investigate the water quality trend over a long period at the upper part of Johor River. The study also aims to provide some useful information on the relationship between water quality, rainfall and runoff. 1.5 Objectives of Study The objectives of this study are as follow: 1. To determine water quality, rainfall and runoff trend of Johor River for the year of 2004 to 2007 using ARIMA modeling approach. 2. To determine relationship between water quality parameter and rainfallrunoff pattern of the study catchment through transfer function modeling approach. 3. Determine the most sensitive parameter among the water quality parameter regarding to the changes in rainfall and runoff 1.6 Scope of Study 1. Site visit to the study area to assess the problems that exist in the site. 2. Data collection of water quality and rainfall-runoff data. 3. Trend analysis by performing ARIMA time series analysis using SPSS Statistical Packages Software. 4. Statistical analysis for model fitting and diagnostic checking using SPSS Statistical Packages Software. 5. Z-score determination using Microsoft Excel function for Mann-Kendall analysis. 8 1.7 Limitation of Study 1. The water quality trend will be predicted for the period of 4 years (20042007) based on available data. 2. Only eight (8) parameters of water quality will be investigated. 3. The study only covered area surrounding the river for about 30 km length of the Johor River. 4. This study will focused on water quality trend and water quality and rainfall runoff relationship not the cause and source of pollutant. 5. Daily data will be used for all of the parameter. 1.8 Significant of Study This study will provide information on the dynamics of the water quality and hydrologic behavior of Johore River based on past time series data. Output generated from transfer function model is important because it is only when the dynamic characteristics of a system are understood that intelligent direction, manipulation, and control of the system is possible. Understanding of this relationship in Johore River system is a vital key toward an optimal management of its resources. It was recognized that water is life itself and without it we cease to exist. Moreover, the demand of water increases and pollution depletes more of our water resources. Therefore, this study is one of the initiative to ensure the water quality and environment been properly manage at Johor River, as it is the most important sources of raw water to satisfy the clean water supply demand for the entire Johore State and also Singapore. Besides, evaluation of water quality parameters is necessary to enhance the performance of an assessment operation and develop better water resource management plan of the Johor River. This study is a primary action and the best measure to ensure a sustainable water resources and environment in this area. 9 CHAPTER II STUDY AREA DESCRIPTION 2.1 Introduction Selecting a suitable study area is important for the beneficial effect of this study especially to the selected area. Several considerations also required in selecting the study area such as types and level of problem, availability of data and information needed, availability of related tools and software to analyse the problem, and others. This chapter will provide a general description of the study area including some information of its water resources and land use to look further inside the area by the means of understanding the important of this present study to the area of concern. 2.2 Study Area The Johor River (Figure 2.1), 122.7 km long, drains an area of 2,636 km2. It originates from Mt. Gemuruh and flows through the southeastern part of Johor and finally into the Straits of Johor. The catchment is irregular in shape. The maximum length and breadth are 80 km and 45 km respectively. This present study was conducted at the upper part of Johor River for about 30 km length from the upstream 10 to the water intake point as this area was believe is the source of pollutant at the downstream of the river. About 60% of the catchment is undulating highland rising to a height of 366m while the remainder is lowland and swampy. The highland in the north is mainly jungle. In the south a major portion had been cleared and planted with oil palm and rubber. The catchment receives an average annual precipitation of 2,470 mm while the mean annual discharge measured at Rantau Panjang (1,130 km2) has been 30.5 m3/s during the period 2004 to 2007. The major tributaries are Sayong, Semanggar, Linggui, Tiram and Lebam Rivers. Figure 2.1: Map of Johore River 11 2.3 Water Resources The Johor River basin occupies about 14% of the Johor State of Peninsular Malaysia. Johor River and its tributaries are important sources of water supply not only for Johor State but also for Singapore. Syarikat Air Johor Holdings (SAJH) or Johor Water Company and Public Utility Board of Singapore each draw about 0.25x 106 m3/day of water from Johor River near Kota Tinggi. 2.4 Land Use Main land use at the study area was summarized in Table 2.1 below. Major land use is oil palm and other crops. As shown in Figure 2.2, there are many oil palm plantations and RISDA or FELDA Land Development located in the surrounding area of Johor River. Sand mining area and vegetable farm can also found there. Table 2.1: Main Land Use at Johor River Rank Land use Percent (%) 1 Oil Palm and other crops 18.5 2 Forest 16.4 3 Swamps 11.6 4 Urban 5.5 5 Waterbody 0.5 Source: Land and Survey Department, Johore (2006) 12 Figure 2.2: Johore River and Its Surrounding 13 CHAPTER III LITERATURE REVIEW 3.1 Introduction Firstly, the definition of the important terms that used will be documented and describe before go beyond to the review of the water quality trends and modeling. Hence, fundamental of the study will greatly understand. 3.2 Water quality parameter There are a number of variables that indicate the quality of water. Some of the basic variables are water temperature, pH, specific conductance, turbidity, dissolved oxygen, salinity, hardness, and suspended sediment. However for the purpose of this study eight (8) parameters are considered. The parameters are the PH, turbidity, colour, trace element (Fe, Al, Mn), Ammonium (NH4) and suspended sediment (SS). 3.2.1 PH PH is a measure of the relative amount of free hydrogen and hydroxyl ions in the water. Water that has more free hydrogen ions is acidic, whereas water that has more free hydroxyl ions is basic or alkaline. The values of pH range from 0 to 14 14 (this is a logarithmic scale), with 7 indicating neutral. Values less than 7 indicate acidity, whereas values greater than 7 indicate a base. The pH of natural waters hovers between 6.5 and 8.5 (Michaud J.P, 1991). The presence of chemicals in the water, affects its pH, which in turn can harm the animals and plants that live there. For example, an even mildly acidulous seawater environment can harm shell cultivation. This renders pH an important water quality indicator. 3.2.2 Turbidity Turbidity is the amount of particulate matter that is suspended in water. Turbidity measures the scattering effect that suspended solids have on light: the higher the intensity of scattered light, the higher the turbidity. Materials that cause water to be turbid include clay, silt, finely divided organic and inorganic matter, soluble coloured organic compounds, plankton, microscopic organisms and others. 3.2.3 Suspended sediment (SS) Suspended sediment is the amount of soil moving along within a water stream. It is highly dependent on the speed of the water flow, as fast-flowing water can pick up and suspend more soil than calm water. If land is disturbed along a stream and no protection measures are taken, then excess sediment can harm the water quality of a stream. 3.2.4 Trace elements (Fe, Al and Mn) Trace elements are metal and transition metal elements commonly found in small (less than 1 milligram per liter) concentrations (Michael, 2003). Analytes commonly detected at most sites in this study included iron (Fe), manganese (Mn) 15 and Alluminium (Al). Trace elements are important indicators of water quality because, in large concentrations, they are toxic to aquatic life and human. 3.2.5 Ammonium (NH4) The source of ammonium is from nitrogen element. The nitrogen does not readily accumulate in the soil and is readily transported to the groundwater in the form of nirite and to a far lesser degree as ammonium. Subsurface flow may be the primary transport process that carries nitrogen from the source area to the receiving water bodies. As cited by Vladimir (2003), the sources of nitrogen include soil fertilizers (46%), bacteria and legumes (20%), plant residue (17%) and precipitation (17%). 3.2.6 Colour Colour is one of the parameter for physical measures of water quality. Natural sources that effected colour are decay of plant matter, algae growth, minerals (iron and manganese) and anthropogenic sources such as from paper mills, textile mills and food processing. Some impacts of colour are usually an aesthetic problem, both in drinking water and wastewater may be an indication of toxicity and may stain textiles and fixtures. 3.3 Rainfall-runoff Relationship The representation of rainfall transformation into runoff (flow) is shown in Figure 3.1 and Figure 3.2. Runoff generated by precipitation has three components: 1. Surface runoff is a residual of precipitation after all loses have been satisfied. The loses include interception by surface vegetation, depression storage and ponding, infiltration into soils, evaporation from soils and open surfaces, and transpiration by vegetation. The highest loads of particulate pollutants are 16 carried by surface runoff. Furthermore, particulates librated from soil by rainfall erosion can move from the source area only if there is appreciable excess rainfall generated from the surface. 2. Interflow is that portion of water infiltrating the soil zone which moves in a horizontal direction due to lower permeability of subsoils. Typically, the amount of interflow in the hydrological balance is small and becomes significant only during spring melt and rain when subsoil is frozen. This type of flow is not significant in Malaysia region. 3. Groundwater runoff (base flow) is defined as that part of runoff contribution that originates from springs and wells. In urban areas with sewers, one may include infiltration inflow into sewers, which can substantial. During prolonged drought periods, most of the stream flow can be characterized as groundwater runoff. Figure 3.1: Schematic representation of watershed hydrology (Vladimir, 2003: p 147) 17 Figure 3.2: Block diagram of watershed hydrological processes and storage (Vladimir, 2003: p 108) 3.4 Time Series Data Time series data is a set of observations obtained by measuring single variable regularly over a period of time. (SPSS, 1993). One reason to collect time series data is to try to discover systematic pattern in the series so that mathematical model can be built to explain the past time behavior of the series. 3.5 Previous studies Trend analysis and water quality modeling have been applied in hydrological area for various types of problems basically for the determination of trend for certain parameter in certain time period. It also a useful tool to determine the relationship or correlation between parameters. This chapter will present some of the previous studies on the water quality trend analysis and modeling. For the purpose of providing an easy way for understanding on this topic, the previous studies will be 18 presented in two separate parts whereas one part for the previous study on water quality trends using ARIMA modeling and one part using Mann Kendall. 3.5.1 Previous Study on Mann-Kendall Test T. Yamada et. al., (2007) have successfully conducted a research to investigate the effects of acid deposition on surface water. They used the nonparametric Mann–Kendall test to find temporal trends in pH, alkalinity, and electrical conductivity (EC) in more than 10 years of data collected from five lakes and their catchments (Lake Kuttara: northernmost; Lake Kamakita: near Tokyo; Lake Ijira: central; Lake Banryu: western; and Lake Unagiike: southernmost). This test was successfully detecting the trend of parameters investigated. They found that the PH of Lake Ijira has declined trend corresponding with the downward trends seen in PH and alkalinity of the river water trends. They also found that significant upward trends in the EC of both the lake and stream water. They also found similar trends for NO3. Evaluation of spring flow and groundwater base-flow declines from the groundwater abstraction in the Hillsborough River system of central Florida, USA was accomplished. This work was successfully done by Kenneth A. W et. al., (2004) through performing the systematic use of parametric and nonparametric statistical techniques in their analysis. These techniques include contingency table analysis, linear regression, Kendall-Theil and Mann-Kendall trend analysis, locally weighted regression, Pearson correlation, Kendall-tau correlation, Spearman correlation, runs test, Student‘s t test, and the Kruskall-Wallis test. A Kendall-Thiel trend line was successfully developed from flow data, which produces a declining slope that is significant at α=0.05 using the non-parametric Hamed-Rao and modified MannKendall test. A study by Abu Farah et. al., (2006) observed the characteristics and trends of the chemical constituents in bulk precipitation and streamwater in a small mountainous watershed on the Shikoku Island of Japan. Bulk precipitation and streamwater chemistry data spans from May 1997 to October 2004, and January 19 1996 to October 2004, respectively were tested. Both parametric and non-parametric statistical analyses were carried out in their study. Nonparametric Seasonal Kendall Test (SKT) showed a deceasing trend of Ca2+ and an increasing trend of K+ in bulk precipitation. Despite the decreasing trend of Mg2+, an increasing trend of pH was found in the streamwater. Non-parametric Mann-Whitney-Wilcoxon Rank Sum test showed statistically significant increases of NO3− and Ca2+ in streamwater followed by a moderate thinning operation. R. Bouza D. et. al., (2008) were analysed thirty-four physical–chemical and chemical variables in surface water samples collected every month over a period of 24 years. The trend study was performed using the Mann–Kendall Seasonal Test and the Sen‘s Slope estimator. Results revealed parameter variation over time due mainly to the reduction in phosphate concentration and increasing pH levels at the Ebro Basin during the 1981–2004 periods. Ercan et. Al., (2002) presented trends that were computed for the 31-year period of monthly streamflows obtained from 26 basins over Turkey. Four nonparametric trend tests which are the Sen‘s T, the Spearman‘s Rho, the Mann-Kendall, and the Seasonal Kendall known as appropriate tools in detecting linear trends of a hydrological time series are adapted in their study. Moreover, the Van Belle and Hughes‘ basin wide trend test is included in the analysis for the same purpose. From their study, they found that in most cases, the first four tests provide the same conclusion about trend existence. They concluded that use of the Seasonal Kendall, which involves a single overall statistic rather than one statistic for each season, is justified by the homogeneity of trend test. Moreover, some basins located in southern Turkey show a global trend, implying the homogeneity of trends in seasons and stations together, based on the Van Belle and Hughes‘ basin wide trend test. Heejun (2008) presented the spatial patterns of water quality trends for 118 sites in the Han River basin of South Korea were examined for eight parameters which are temperature, pH, dissolved oxygen (DO), biochemical oxygen demand (BOD), chemical oxygen demand (COD), suspended sediment (SS), total phosphorus (TP), and total nitrogen (TN). The researcher mentioned that a non-parametric seasonal Mann-Kendall‘s test is able to determine the significance of trends for each 20 parameter for each site between 1993 and 2002. The researcher concluded that there are no significant trends in temperature, but TN concentrations increased for the majority of the monitoring stations. DO, BOD, COD, pH, SS, and TP show increasing or decreasing trends with approximately half of the stations exhibiting no trends. Then, urban land cover is positively associated with increases in water pollution and included as an important explanatory variable for the variations in all water quality parameters except pH. 3.5.2 Previous Study on Water Quality and ARIMA Modelling Axel L. et. al., (2000) presented the study to analyses weekly data samples from the river Elbe at Magdeburg between 1984 and 1996 to investigate the changes in metabolism and water quality in the river Elbe since the German reunification in 1990. Modelling water quality variables by autoregressive component models and ARIMA models reveals the improvement of water quality due to the reduction of waste water emissions since 1990. The models are used to determine the long-term and seasonal behaviour of important water quality variables. They found that organic and heavy metal pollution parameters showed a significant decrease since 1990, however, no significant change of chlorophyll-a as a measure for primary production could be found. A new procedure for testing the significance of a sample correlation coefficient was discussed, which is able to detect spurious sample correlation coefficients without making use of time-consuming pre-whitening. M. Power et. Al., 1998 presented the trends in the concentrations of Cd, Cu, Hg, Ni, Pb and Zn in the estuary of the River Thames between the years 1980 to 1997. They were examined these parameter using linear regression methods to determine whether stated reductions in metal discharges from all sources to the estuary have had an effect on water quality. They found that concentrations of all metals, except Pb, showed exponential declines. C. Gun et.al., (1997) used the Ivry-sur-Seine explanatory graphical analysis and statistical time series techniques to analyze the trends and specified time changes,in a 90-year record of annual average value of Seine river water quality data. 21 They concluded that such a study may now be applied to more rural stations in order to compare the evolution of water quality and, perhaps, historical monthly average values to evaluate the seasonality effect on annual trends. Robert et. al., (2001) was presented the first detailed analysis of HMS data for Scotland, and identified temporal changes in water quality from 1974 to 1995. The trend analysis for this application was based on the use of smoothing splines to fit terms due to long-term trend, variable amplitude seasonality, and a variable slope flow relationship. They found that nitrate concentrations between rivers are highly correlated with the amount of arable land, and relationships exist between grassland cover, orthphosphate-P and suspended solids concentrations and similarly, urban catchments are highly correlated with ammonium-N, orthophosphate-P and suspended solids. Giuseppe et. al., (2005) was presented a proposed water-quality model for the Lagoon of Venice, Italy. The model is based on the results of an existing, deterministic, hydraulic-dispersive model of the Lagoon to provide the distribution of salinity and residence time in the Lagoon of Venice. The water-quality is simulated by statistic analysis on water-quality data, monthly collected in 30 stations and was covered a period of 2 years. The Spearman correlation index of salinity and residence time versus the water-quality variables (nitrogen, phosphorus, and chlorophyll-a and the trophic index TRIX) has been studied on a yearly average basis and for the spring–summer periods. The model has been applied to simulate the variation of nutrients and trophic index distribution in the Lagoon as a consequence of an increase of hydraulic dissipation at the Lagoon outlets. They concluded that statistical analysis is effective enough to simulate scenarios, provided that the result are not much different from the state of the system represented in the database processed and the dissipations fall in a range of variation that could be acceptable for the statistic simulation. 22 CHAPTER IV RESEARCH METHODOLOGY 4.1 Introduction There are many works, procedures and considerations involved in the process of determining water quality trend at the upper part of Johor River. For the purpose of representing the methodology applied in easier way, flowchart of the methodology applied which aims to summarize the lengthy jobs involved in the present study was attached in Appendix A. The objective of this chapter is to represent the methodology applied by focusing on two important stages involved in the present study which are (1) the Mann-Kendall test and (2) the univariate ARIMA modelling processes. 4.2 Mann-Kendall Test Procedure For primary detecting of trends in water quality, Mann–Kendall test was used. The Mann–Kendall test is a non-parametric test for detection of trends that accommodates non-normal data distribution (Helsel & Hirsch, 1992). It is a simple test whereas it required only that the data be independent and can tolerate outliers in the data. This test was performed using two set of data. Theory behind this test is the 23 comparison of mean and variance to obtain the probability (P) and Z-score for a null hypothesis. Null hypothesis was provided first whereas assumption was made that there is no difference between first set of data to the second set of data. This mean that, the probability of this two set of data to be different is zero or can be write as P = 0. General relationship of the water quality-rainfall and water quality-flow respectively were obtained which indicated by the probability (P) value. P equal to zero means that the different in trend of two variables investigated is zero. Hence, they have strong relationship with each other. The Z-score figure indicates in standard deviation units how far from the mean the figure for the difference between two set of data is located. Positive Z-score by the Mann-Kendall tests indicates increasing trends while negative Z-score indicates decreasing trends. Z-score lower than critical Z-score (1.64) or higher than 1.64 indicate significant decreases or increases in trend. 4.3 Theory of ARIMA Modeling Approach ARIMA is an abbreviation of AutoRegressive Integrated Moving Average introduced by Box and Jenkins (Box et.al., 1994). As such, some authors refer to this modeling approach as a Box and Jenkins model. The general ARIMA model contains autoregressive (AR), Integrated (I) and moving average (MA) parts. The AR part described the relationship between present and past observations. The MA part represents the autocorrelation structure of error. The I part represents the differencing level of the series. With p, d and q as the AR, I AND MA coefficient respectively, the general form of a stationary ARIMA ( p, d , q ) model for observed time series, Yt , can be written as: p q j 1 k 1 Yt jYt j at kat k An ARIMA model is written using various notations. For example: (4.1) 24 ARIMA (1, 0, 0): Yt C 1Yt 1 at or (1 1 B) yt C at where 1 , 2 ,..... p are AR coefficients, 1 , 2 ,.... q are MA coefficients, a t is residual series, C is the model constant and B is the backshift operator. 4.4 Model Assumptions Before performing the ARIMA modelling, some assumptions were made such that : 1. The data is stationary 2. The data have normal distribution 3. No outlier exist in the data 4. No missing data 4.4.1 Data Stationarity The stationarity of the daily hydrological and water quality data were examined by graphical representation of the data. The original data were plotted against its time interval which is in days. A stationary series is where the series is statistically in equilibrium; shows by their mean and variance are constant with time. Besides, the data is considered as stationary when the plotting shows that the data fluctuates around its constant means and variance (Daniel et. al, 2001, Brockwell and Davis, 2002, Box et. al., 1994 and Robert and Monnie, 2000). Other graphical method applied in this present study is by examined the ACF and PACF plot of the original data. Stationary data have randomly distributed ACF and PACF plot. The transformation process might be required for the non stationary series and this can be done using differencing method (Box et.al., 1994) and (Shumway, 25 1988). This process has been considered in ARIMA modelling approach as the I (Integrated) component or represent as „d‟ in ARIMA notation. The level of differencing is highly depending on the level of stationarity of the data. The level of differencing might be 0, 1, 2 or higher than 2. 0 levels means that the differencing process is not perform to the data. Then level 1 represent the first differencing process needed and second differencing level needed for level 2. Higher level of differencing might be applied to the nonstationary and complex data. 4.4.2 Normal Distribution Normal distribution characteristic can easily identified by examining histogram of each set of the daily hydrological and water quality data. Data with normal distribution have a pattern of data distribution which follows a bell shaped curve. The bell shaped curve has several properties such that the curve concentrated in the center and decreases on either side. This means that the data has less of a tendency to produce unusually extreme values, compared to some other distributions. Besides, the bell shaped curve is symmetric. This tells that the probability of deviations from the mean is comparable in either direction. Data transformation is required for the data without normal distribution behaviour. Two methods of data transformation were applied for this case which is the normal log transformation method and Box-Cox transformation method (Box and Cox, 1964). The second method was applied if the normal log transformation method is not capable to transform the data into normal distribution. 4.4.3 Outlier An outlier is an observation that lies outside the overall pattern of a distribution (Moore and McCabe 1999). Usually, the presence of an outlier indicates some sort of problem. This can be a case which does not fit the model under study or an error in measurement. Outliers are often easy to spot in histograms. For example, 26 the point on the far left in the above figure is an outlier. This data point should be removed because it also a sign of nonstationary data. 40 35 30 25 20 15 10 5 0 -6 -5 -4 -3 -2 -1 0 1 2 3 Figure 4.1: Histogram shows outliers in a set of observation 4.4.4 Missing Data Robert et. al (2000) suggested that data should be replaced by a theoretical defensible algorithm if some data values are missing is observed in the data series. A crude missing data replacement method is to plug in the mean for the overall series. A less crude algorithm is to use the mean of the period within the series in which the observation is missing. Another algorithm is to take the mean of the adjacent observations. Missing value in exponential smoothing often applies one step ahead forecasting from the previous observation. Other form of interpolation employs linear spines, cubic splines, or step function estimation of the missing data. There are other methods as well. SPSS provide options for missing data replacement. The ARIMA approach was applied because it is capable to handle missing value in the observed data (SSPS, 1993). For ARIMA modelling analysis in SPSS, Kalman Filtering was performed to the series for the purpose of handling the missing data. 27 4.5 ARIMA Modelling Procedures The ARIMA modelling procedures was followed the most popular strategy for building a model which is the one developed by Box and Jenkins (1976), who defined three major stages of model building: identification, estimation and diagnostic checking. They (Box and Jenkin, 1976) originally demonstrated the usefulness of this strategy specifically for ARIMA model building and the general principles can be extended to all models building (SPSS Trend, 1993). 4.5.1 Model Identification First stage was conducted to identify the most suitable model to fit the transformed time series data by examining various types of correlogram which are the Autocorrelation Function (ACF) and Partial Autocorrelation Function (PACF). It should also explain that identification is necessarily inexact because at the identification stage no precise formulation of the problem is available, statistically ‗inefficient‘ methods must be used (Box et. al., 1994). They (Box et. al) suggested that graphical methods are particularly useful and judgement must be exercised. Some general guidelines (SPSS, 1993) using graphical method was applied in the identification process: i. Nonstationary series have an ACF that remains significant for half a dozen or more lags, rather than quickly declining to 0. Difference must be done for such a series until it is stationary before it can be identified. ii. Autoregressive processes have an exponentially declining ACF and spikes in the first one or more lags of the PACF. The number of spikes indicates the order of the autoregression. iii. Moving average processes have spikes in the first one or more lags of the ACF and an exponentially declining PACF. The number of spikes indicates the order of the moving average. iv. Mixed (ARMA) processes typically show exponential declines in both the ACF and the PACF. 28 At the identification stage, the sign of the ACF or PACF and the speed with which an exponentially declining ACF or PACF approaches 0 are depend upon the sign and actual value of the AR and MA coefficients (SSPS, 1993). 4.5.2 Model Parameters Estimation Estimation of model parameters was conducted using Ordinary Least Square (OLS). For a time series, under OLS method, those values which are chosen for the parameters will make the smallest sum of the squared residual (Slini et. al., 2002). Consider the ARIMA (p,d,q) model: p q j 1 k 1 Yt j Yt j at k at k (4.2) The estimates of the parameters j , j 1,2,...., p and k , k 1,2,..., q are chosen so that the sum of squared residuals written in equation 3 is minimum. T p q t 1 j 1 k 1 S (1 ,....., p ), (1 ,....., q ) (Yt i Yt i t at k ) 2 (4.3) Equation (4.3) is a complex equation and must be solved iteratively. Analytical solution is impossible, therefore numerical solution are used. In the present study, the parameter estimates was calculated with the aid of the SPSS Statistical Packages Software. 4.5.3 Diagnostic Checking Then, diagnostic test was conducted to ensure that the essential modeling assumptions are satisfied for a given model. Graphical method was used by representing ACF and PACF using residual series as inputs. Randomly distributed ACF and PACF indicate the fitness of the model chosen. 29 The fitted model also checked using Aikaike Information Criteria (AIC) whereas the best model have smallest AIC‘s value and supported by larger value of T-Test and smallest value of standard error. Plot of residual such histogram of error, versus order, normal probability plot and versus fits was also conducted. The residual have normal distribution indicate by the normal curve of the histogram of error. The best fit curve was shown by normal probability plot. Then randomly distributed of the residual was shown by versus fit. This proved that our first assumptions whereas the data have normal distribution and stationary are true. Therefore, the best fitted model is accepted. First and second stage should be repeated if the characteristics of normally distribution and stationary of residual is not achieved. 30 CHAPTER V DATA COLLECTION AND ANALYSIS 5.1 Introduction This chapter consists of the detail description and discussion on collection and analysis of the time series data using both non parametric Mann-Kendall test and parametric ARIMA modelling method. For representing the analysis in easier way, example of analysis using daily PH data for the year of 2004 was presented. Others water quality parameters were analysed by applying the similar procedures. 5.2 Types and Sources of Time Series Data Enough data is required for performing the trend analysis. There are two types of data that have been used for the analysis which are the hydrological data and water quality data. In this present study, the averaged daily water quality, rainfall and runoff data was used. Each of the data follows a similar time interval which is in day. The data-set covers a period of 4 years which is within the year 2004 to 2007. The data was attached in Appendix B1 to Appendix B4. 31 5.2.1 Hydrological Data Rainfall and streamflow (runoff) data was obtained from Department of Drainage and Irrigation (DID) Malaysia, Johor. Rainfall records from station 1836001 at site Rancangan Ulu Sebol have been extensively used in this study. The station is located in the north of the Johor River. Then the gauging station for streamflow is referred to station number 1737451 at site Rantau Panjang, Johor. The station also located in the north of the Johor River. 5.2.2 Water Quality Data The water-quality modelled by statistical analysis on water-quality parameter data, hourly collected in Water Treatment Plant, Semanggar Johor. It is owned by Syarikat Air Johor Holdings (SAJH) or Johor Water Company. The data available for seven parameters including pH, Color (TCU), Turbidity (ppm), Al (ppm), Fe(ppm), NH4 (ppm) and Mn (ppm). While suspended sediment (SS) data was taken from Department of Drainage and Irrigation (DID) Malaysia, Johor. Data from station 1737551 at site Rantau Panjang have been used. 5.3 Example of Mann-Kendall Test In this present study, Z-score and P value was obtained using Microsoft Excel function under Data Analysis toolkit. The simple procedures involved are collect the data on the two samples, request a z-test analysis from the Microsoft Excel statistics options, and examine the table of the results. The following notes describe in detail the procedure. 1. First enter in the data for two samples, for example one column for daily PH data and one column for the rainfall data. Variable 1 is representing the PH parameter and Variable 2 for rainfall data. 32 2. Then, using the Descriptive Statistics tool from the Data Analysis option (on the Tools Menu), the table of Descriptive Statistics for each sample was generated. The figure for the Variance of each sample was noted down. Such as illustrated in Figure 5.1. 3. Then from the Data Analysis option, select the last item: Z-test: Two Sample Means. In the dialogue box, in the Variable 1 Range box, it is indicating the range of the first sample in Variable 1 column (e.g., $A$1:$A$35). While in Variable 2 Range, it is indicating the range of the second sample in Variable 2 column (e.g., $B$1:$B$48). In the Hypothesized Mean Difference box, enter the figure 0. Since the Null Hypothesis, which we are attempting to refute, says that both samples have similar trend. So that it was hypothesized that the difference between the means for the two variables is 0. 4. In the Variable 1 Variance (known) box the figure for the Variance for Variable 1 (noted this down earlier, but this figure can found in the Descriptive Statistics box generated in the second step described above) aws entered. In the Variable 2 Variance (known) box the corresponding figure for the Variance of the Variable 2 was entered. 5. In the Alpha box the number 0.05 should already appear. The Alpha figure indicates the Confidence Level for this test. A figure of 0.05 states that we want to be 95 per cent certain of the result or, in other words, that the probability of being wrong to be .05 or lower. 6. In the Output Range box, type the number of the cell where you want the Output Table to appear (or alternatively, with the line active in the Output Range box, click the mouse on an empty cell). 7. Then click on OK. After a couple of seconds, a table appeared in the place designated by the Output entry. This table has the heading: z-Test: Two Samples for Means. In the table there are figures for the following items: Mean, Known Variance, Observations, Hypothesized Mean Difference, z, 33 P(Z<=z) one-tail, z Critical one-tail, P(Z<=z) two-tail, z Critical two tail as illustrated in Figure 5.2. For Mann-Kendall analysis, z one tail was used as only one hypothesis is provided in this study. Positive Z-score by the Mann-Kendall tests indicates increasing trends while negative Z-score indicates decreasing trends. Z-score lower than critical Z-score (1.64) or higher than 1.64 indicate significant decreases or increases in trend. Descriptive statistics generated from the data analysis for each water quality investigated against rainfall and flow respectively was attached in Appendix C1 to Appendix C4. While result summary of z-score and P value for each water quality parameter analyses against rainfall and flow data was presented in the next chapter. Figure 5.1: Procedures for determination of descriptive statistic of the variables investigated for Mann-Kendall analysis. 34 Figure 5.2: Procedures for determination of z-score of the variables investigated for Mann-Kendall analysis. 5.4 Example of ARIMA Modelling As mentioned in previous chapter, the ARIMA modelling follows three important stages which are the model identification, model estimation and diagnostic checking stages. 5.4.1 Model Identification for PH 2004 As shown in Figure 5.3 (a), the series have characteristics of nonstationary data indicate by the figure of not constant mean and variance whereas the series not fluctuate around its mean. Besides, Figure 5.3 (c) also has shown indication of nonstationary data as the ACF plot has exponential declined pattern. This figure suggested that differencing process should be applied to the series to transform the nonstationary data to stationary. Therefore, the I component of the ARIMA model for this series is exist which might be of order 1 or 2. However, data transformation 35 against normal distribution is not required as the series follows a bell shaped curve as shown in Figure 5.3 (b). Possible ARIMA models for the series were observed from the spike detected in PACF plot and the ACF plot pattern of the original data. As shown in Figure 5.3 (d), possible ARIMA models for PH series for the year of 2004 might be ARIMA (1,1,0), ARIMA (1,1,1) or ARIMA (1,1,2). This guided by spike at lag 1 at PACF plot indicates the AR(1) model. Besides, ACF plot pattern suggested that possible model might be MA(1) or MA(2). Therefore, combination of AR model and MA model or ARIMA model is best representing the PH series. Table 5.1 summarized the possible ARIMA model for PH series at year 2004. 6.8 30 6.6 6.4 6.2 20 6.0 5.8 5.6 10 5.4 PH 5.2 Std. Dev = .22 Mean = 5.94 5.0 1 39 134 191 172 229 210 267 248 305 286 343 324 N = 155.00 0 362 Sequence number 63 6. 50 6. 96 153 38 6. 25 6. 13 6. 00 6. 88 5. 75 5. 58 115 63 5. 50 5. 38 5. 25 5. 20 77 PH (a) Plotting of Original Data (b) Histogram of Original Data PH PH 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (c) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (d) PACF Plot of the Original Data Figure 5.3: Plots of the Original Data for PH Series at Year 2004 36 In this present study, the graphical representation using ACF and PACF plot and sequence plot of the original daily water quality data for each parameter were attached in Appendix D1 to Appendix D3 for PH, Appendix E1 to Appendix E4 for colour, Appendix F1 to Appendix F4 for turbidity, Appendix G1 to Appendix G4 for Al, Appendix H1 to Appendix H4 for Fe, Appendix I1 to Appendix I4 for NH4, Appendix J1 to Appendix J4 for Mn and Appendix K1 to Appendix K3 for SS. Examining the behaviour of the plot suggested that all of the data are nonstationary and differencing process is required. Besides, various combinations of ARIMA models are the possible model that might be generated each of the series. 5.4.2 Estimation of Model Parameter for PH 2004 In this stage, estimation of model parameters for the possible ARIMA model was conducted using SPSS Statistical Packages Software. To obtain each of the coefficients, ARIMA time series was performed under Analyse tool in SPSS. By entering the required information in the box (Figure 5.4) and run the time series analysis, the ARIMA coefficient was obtained. Appendix L shows example of the output generated from the SPSS. Figure 5.4: Analyse Tools in SPSS for estimation of model parameter 37 The possible model was also checked for their Aikaike Information Criteria (AIC), t-test and standard error. Table 5.1 was summarized the possible ARIMA models for PH (2004) with their ARIMA model and constant (C) coefficient, AIC, tvalue and standard error. The best fitted model has the characteristics of smallest AIC value and supported with small standard error and larger t-value. ARIMA (1,1,2) was selected as the best fitted model for PH (2004) as the model have all of the characteristics. Table 5.1: Possible ARIMA Model for PH (2004) No. Possible ARIMA Model AIC T-Test Standard Error Coefficient C 1 110 -671.2972 -2.5574 0.0254 AR(1) = -0.2083 -0.00015 2 111 -686.6417 11.0371 0.0242 AR(1) = 0.7087 0.00011 0.5079 3 5.4.3 112 -689.9701 0.6827 MA(1)= 0.9999 0.0239 AR(1) = 0.2024 1.9153 MA(1)= 0.5659 0.9454 MA(2)= 0.1728 0.00010 Diagnostic Checking for PH 2004 The diagnostic checking was performed to the best fitted model to prove that the first assumptions are true whereas the series is considered have normal distribution and stationary. This checking was performed through plotting the ACF and PACF (Figure 5.5) but this time using residual error as input. The series was considered passed the diagnostic checking when the ACF and PACF plot of the residual fluctuate around their confidence limit. Besides, plot of residual such as histogram of error, versus order, normal probability plot and versus fits (Figure 5.6) was also conducted. The residual have normal distribution indicate by the normal curve of the histogram of error. The best fit curve was shown by normal probability plot. Then randomly distributed of the residual was shown by versus fit. This proved that our first assumptions whereas the data have normal distribution and stationary are true. Therefore, the best fitted model 38 is accepted. First and second stage should be repeated if the characteristics of normally distribution and stationary of residual is not achieved. Plotting of ACF and PACF for the diagnostic checking for others water quality parameters was attached in Appendix M. Error for PH from ARIMA, (1,1,2) Error for PH from ARIMA, (1,1,2) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 3 2 16 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error Figure 5.5: ACF and PACF Plot of Error for Best Fitted Model, PH (2004) .1 Error for PH from ARIMA, (1,1,2) 30 20 10 0 0.0 -.1 Std. Dev = .02 Mean = -.001 N = 151.00 -.2 56 .0 44 .0 31 .0 19 .0 06 .0 06 -.0 19 -.0 31 -.0 44 -.0 56 -.0 69 -.0 81 -.0 94 -.0 06 -.1 1 39 20 Error for PH from ARIMA, (1,1,2) 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 362 Sequence number (a) Histogram of Error (b) Versus order Normal P-P Plot of Error for PH from ARIMA 1.00 .06 .04 Error for PH from ARIMA, (1,1,2) .02 Expected Cum Prob .75 .50 .25 0.00 0.00 0.00 -.02 -.04 -.06 -.08 -.10 -.12 5.4 .25 .50 .75 5.6 5.8 6.0 1.00 Fit for PH from ARIMA, (1,1,2) Observed Cum Prob (c) Normal probability plot Figure 5.6: Plot of Residual (d) Versus fits 6.2 6.4 39 5.4.4 Best Fitted ARIMA Model Equation General ARIMA equation can be writen for the best fitted model. General ARIMA equation is presented in Equation 4.1 (Chapter 4). Equation for the best fitted model for PH (2004) can be write as: (1 B)(1 0.2024 B)Yt (1 0.5659 B 0.1728 B 2 )at This equation is useful for further determine the dynamic behaviour of the Johor River system through transfer modelling. Equation for best fitted model for others water quality parameters investigated was presented in the next chapter. 40 CHAPTER VI RESULT AND DISSCUSSION 6.1 Rainfall-runoff Pattern Plotting the annual runoff coefficient from year 2004 to 2007 is best representing the rainfall-runoff pattern for the present study. Runoff coefficient is define as total rainfall over total flow or can be write as: Runoff Coefficient = Total Flow Total Rainfall (6.1) Table 6.1 below shows the calculated runoff coefficient for each year from 2004 to 2007. Then by plotting this coefficient against year, rainfall-runoff pattern was obtained (Figure 6.1). As shown in the figure, rainfall-runoff has declining pattern at year 2004 to 2005. Then increasing pattern at year 2005 to 2006 and decreasing again after that. The reason of such pattern is very difficult to address because it is a natural phenomenon that is unpredictable. In fact, past rainfall event is not depends on the present rainfall event or we can say in easier way that today rainfall is not depends on yesterday rainfall. 41 Table 6.1: Calculated Runoff Coefficient Year Runoff Coefficient 2004 0.312 2005 0.182 2006 0.437 2007 0.271 Runoff Coefficient Rainfall-runoff Pattern 2004-2007 0.5 0.4 0.3 0.2 0.1 0.0 2004 2005 2006 2007 Year Figure 6.1: Rainfall-runoff pattern 6.2 Correlation between Rainfall-Flow and Water Quality Although rainfall and flow is unpredictable parameter, however their pattern can be a measure to the water quality trend as changes of this hydrological parameter is greatly influence the water quality trend. This has been proved using correlation analysis which aims to assess how the water quality parameter investigated is related to the hydrological parameters (rainfall and flow). Each water quality parameter was analysed using Microsoft Excel function. Table 6.2(a), 6.2(b) and Table 6.3 summarized the result obtained from the analysis. As shown, all of the parameter is significant for both rainfall and flow parameter. Therefore, all of the water quality parameters investigated was considered correlated with both rainfall and runoff. 42 Table 6.2(a): Correlation between Water Quality and Rainfall PH COLOUR 0.0339 0.1386 TURB AL FE NH4 MN FLOW SS 0.1628 0.0565 0.0460 0.0601 0.0366 0.1164 0.1628 Table 6.2(b): Correlation between Water Quality and Flow PH COLOUR 0.0702 0.2125 TURB AL FE NH4 MN SS RAINFALL 0.2150 0.1483 0.0850 0.1411 0.0523 0.8219 0.1164 Table 6.3: Correlation among Parameter Investigated PH Colr Turb AL FE NH4 MN Flow SS PH 1 Colr 0.61 1 Turb 0.58 0.88 1 AL 0.45 0.39 0.44 1 FE 0.39 0.31 0.38 0.39 1 NH4 0.57 0.43 0.47 0.52 0.58 1 MN 0.30 0.31 0.29 0.19 0.18 0.26 1 Flow 0.07 0.21 0.22 0.15 0.09 0.14 0.05 1 SS 0.16 0.27 0.25 0.16 0.08 0.16 0.08 0.82 1 Rainfalll 0.03 0.14 0.16 0.06 0.05 0.06 0.04 0.12 0.13 6.3 Rainfall 1 Water Quality-Rainfall and Water Quality-Flow Trend Table 6.4 and 6.5 below shows the water quality-rainfall and water qualityflow trend obtained from Mann Kendall test. Each of the water quality parameters investigated shows significant trend at 95% confidence limit. All of the parameter investigated shows decreasing and increasing trend every year among the period of 2004 to 2007 represented by the z-score. In this analysis, each water quality parameter were compared to both rainfall and flow parameter to assess their difference in trend. From the analysis, some of the P value obtained is zero and 43 others gave value near to zero. This means that the water quality-rainfall and water quality-flow trend is quite the same and the null hypothesis is considered true. Table 6.4: Result Summary from Mann Kendall Analyses of Water Quality and Rainfall Parameter 2004 Parameter N Z P Trend PH 184 -10.1796 0 Decreasing COLOUR 184 507.5062 0 Increasing TURB 184 161.8373 0 Increasing AL 184 -29.8599 0 Decreasing FE 184 -29.5724 0 Decreasing MN 184 -102.225 0 Decreasing NH4 184 -29.6986 0 Decreasing N Z P Trend PH 348 0.1453 0.4422 Increasing COLOUR 348 42.8084 0 Increasing TURB 348 26.6931 0 Increasing AL 348 -8.9039 0 Decreasing FE 348 -8.7921 0 Decreasing MN 348 -8.7826 0 Decreasing NH4 348 -8.8381 0 Decreasing SS 348 3.9242 4.35E-05 Increasing N Z P Trend PH 365 -3.0928 0.0010 Decreasing COLOUR 365 38.7841 0 Increasing TURB 365 28.1404 0 Increasing AL 365 -11.1055 0 Decreasing FE 365 -10.9848 0 Decreasing MN 365 -10.9961 0 Decreasing 2005 Parameter 2006 Parameter 44 NH4 365 -10.9689 0 Decreasing SS 365 13.9046 0 Increasing N Z P Trend PH 365 -1.8764 0.0303 Decreasing COLOUR 365 37.7639 0 Increasing TURB 365 28.6078 0 Increasing AL 365 -5.6093 1.02E-08 Decreasing FE 365 -5.5813 1.19E-08 Decreasing MN 365 -2.5256 0.0058 Decreasing NH4 365 -2.5413 0.0055 Decreasing SS 365 19.3627 0 Increasing 2007 Parameter Table 6.5: Result Summary from Mann Kendall Analyses of Water Quality and Flow Parameter 2004 Parameter N Z P Trend PH 184 -62.2041 0 Decreasing COLOUR 184 489.3166 0 Increasing TURB 184 120.6286 0 Increasing AL 184 -77.1415 0 Decreasing FE 184 -77.1415 0 Decreasing MN 184 -76.8673 0 Decreasing NH4 184 -76.9991 0 Decreasing N Z P Trend PH 348 -2.7518 0.0029 Decreasing COLOUR 348 42.2207 0 Increasing TURB 348 21.9268 0 Increasing AL 348 -5.8589 2.33E-09 Decreasing FE 348 -5.8211 2.92E-09 Decreasing MN 348 -5.8175 2.99E-09 Decreasing 2005 Parameter 45 NH4 348 -5.8364 2.67E-09 Decreasing SS 348 3.4477 0.0003 Increasing N Z P Trend PH 365 -18.5699 0 Decreasing COLOUR 365 37.4085 0 Increasing TURB 365 18.3391 0 Increasing AL 365 -22.1198 0 Decreasing FE 365 -22.0663 0 Decreasing MN 365 -22.0713 0 Decreasing NH4 365 -22.0593 0 Decreasing SS 365 12.3772 0 Increasing N Z P Trend PH 365 -8.7155 0 Decreasing COLOUR 365 36.6921 0 Increasing TURB 365 17.8916 0 Increasing AL 365 -10.4151 0 Decreasing FE 365 -10.4024 0 Decreasing MN 365 -10.3866 0 Decreasing NH4 365 -10.4026 0 Decreasing SS 365 18.4908 0 Increasing 2006 Parameter 2007 Parameter Notes: Positive Z-scores by the Mann–Kendall tests indicate increasing trends while negative Z-scores indicate decreasing trends. Z-scores lower than Z-critical (−1.64) or higher than (+ 1.64) indicate significant decreases or increases. 46 6.4 Best Fitted ARIMA Model Appendix D to K and Appendix M present the detail plot of mean daily water quality for the original series with their sample ACF, sample PACF, residual ACF and residual PACF for each water quality parameter from 2004 to 2007. Evaluation on the model criteria such that smallest AIC‘s value, smallest standard error and higher t- value of the possible ARIMA model was gave the best fitted ARIMA model for each of the water quality parameter from year 2004 to 2007. Best fitted ARIMA modelling was summarized in Table 6.6 (a) to (h) below. The ARIMA model ranges from ARIMA (1,1,1) to ARIMA (2,1,2). Differencing was required to all data series since they are shows nonstationary data characteristic. Most of the ARIMA models are generated by AR (1) component. The t-value for all AR (1) coefficient are large and significant at 5% level. Table 6.6 (a): Best Fitted ARIMA Model for PH Parameter Year ARIMA AIC T-test Std. Error Coefficient C 2004 1,1,2 -689.9701 0.6827 0.0239 AR(1) = 0.2024 0.00010 2005 1,1,1 -1326.3381 1.9153 MA(1) = 0.5659 0.9454 MA(2) = 0.1728 12.8446 0.0280 13.8527 2006 1,1,1 -1293.668 5.2581 1,1,1 -1380.2225 5.5313 0.00011 MA(1) = 0.9988 0.0291 36.8329 2007 AR(1) = 0.6106 AR(1) = 0.3339 0.000069 MA(1) = 0.9288 0.0286 25.4931 AR(1) = 0.3824 -0.00014 MA(1) = 0.8849 Table 6.6 (b): Best Fitted ARIMA Model for Colour Parameter Year ARIMA AIC T-test Std. Error 2004 111 130.5476 8.1540 0.3655 -1.2554 2005 111 338.2739 7.0451 45.4385 Coefficient AR(1) = 0.6089 C -0.0016 MA(1) = 0.9995 0.4112 AR(1) = 0.4306 MA(1) = 0.9527 0.00084 47 2006 111 342.8355 6.5439 0.4172 24.1018 2007 112 289.3926 6.6362 AR(1) = 0.4616 0.00079 MA(1) = 0.8858 0.3721 AR(1) = 0.5256 8.6110 MA(1) = 0.7822 2.2744 MA(2) = 0.1927 0.00094 Table 6.6 (c): Best Fitted ARIMA Model for Turbidity Parameter Year ARIMA AIC T-test Std. Error 2004 111 163.2783 8.1778 0.4014 10.7914 2005 2006 112 111 269.4063 585.2267 6.7947 112 274.5702 AR(1) = 0.6147 0.3667 AR(1) = 0.5235 2.5349 MA(1) = 0.7799 5.1649 MA(2) = 0.2191 3.3323 3.7860 C -0.0015 MA(1) = 0.9958 0.6208 25.5008 2007 Coefficient AR(1) = 0.2323 0.00197 0.00082 MA(1) = 0.8768 0.3649 AR(1) = 0.3515 4.7229 MA(1) = 0.5485 5.8455 MA(2) = 0.3804 0.00106 Table 6.6 (d): Best Fitted ARIMA Model for Alluminium (Al) Parameter Year ARIMA AIC T-test Std. Error 2004 111 299.9397 4.1761 0.6451 10.0938 2005 111 597.6092 5.9481 111 486.4079 3.5218 0.6312 111 514.5758 2.5754 58.7809 0.00026 AR(1) = 0.3461 0.00136 MA(1) = 0.9696 0.5409 39.1942 2007 AR(1) = 0.3443 C MA(1) = 0.9967 57.5858 2006 Coefficient AR(1) = 0.2292 0.0016 MA(1) = 0.9320 0.5669 AR(1) = 0.1619 MA(1) = 0.9675 -0.00136 48 Table 6.6 (e): Best Fitted ARIMA Model for Iron (Fe) Parameter Year ARIMA AIC T-test Std. Error 2004 112 285.7614 0.4296 0.6147 2005 111 582.1116 111 404.5639 MA(1) = 0.6057 1.3838 MA(2) = 0.2735 4.9829 0.6049 3.0234 111 429.1063 2.1912 AR(1) = 0.2813 C 0.0048 0.0019 MA(1) = 0.9994 0.4716 39.5013 2007 AR(1) = 0.1056 2.5348 5.7056 2006 Coefficient AR(1) = 0.1968 0.00077 MA(1) = 0.9333 0.4637 67.6924 AR(1) = 0.1259 -0.00123 MA(1) = 0.9752 Table 6.6 (f): Best Fitted ARIMA Model for Ammonium (NH4) Parameter Year ARIMA AIC T-test Std. Error 2004 111 327.3136 4.0511 0.7160 0.9249 2005 2006 112 111 550.6102 381.4321 0.8811 111 521.9594 AR(1) = 0.3334 0.5852 AR(1) = 0.1430 4.6207 MA(1) = 0.7408 1.5060 MA(2) = 0.2300 2.3465 -0.1605 C 0.00308 MA(1) = 0.9995 0.4499 32.3118 2007 Coefficient AR(1) = 0.1554 0.0031 0.00018 MA(1) = 0.9077 0.5390 49.8710 AR(1) = -0.0096 -0.0019 MA(1) = 0.9526 Table 6.6 (g): Best Fitted ARIMA Model for Manganese (Mn) Parameter Year ARIMA AIC T-test Std. Error 2004 111 220.0244 4.0679 0.4883 0.3031 2005 111 385.6385 2.7640 112 -968.2323 7.4961 7.4627 AR(1) = 0.3381 C -0.00135 MA(1) = 0.9999 0.4429 42.8657 2006 Coefficient AR(1) = 0.1704 0.00048 MA(1) = 0.9531 0.0453 AR(1) = 0.7291 MA(1) = 1.3892 0.00016 49 -2.9054 2007 111 440.9339 2.0825 MA(2) = -0.3897 0.4791 69.4639 AR(1) = 0.1245 -0.00045 MA(1) = 0.9750 Table 6.6 (h): Best Fitted ARIMA Model for Suspended Solid (SS) Parameter Year ARIMA AIC T-test Std. Error 2004 - - - - 2005 212 512.8124 4.8862 0.4876 2006 2007 211 111 410.9504 126.8279 Coefficient AR(1) = 0.5918 1.8131 AR(2) = 0.2185 5.9127 MA(1) = 0.3257 3.2403 MA(2) = 0.5924 20.1601 0.4619 AR(1) = 1.1109 -6.4319 MA(1) = -0.3467 44.9608 MA(2) = 0.9628 0.7270 0.3354 1.3388 C AR(1) = 0.2624 -0.0106 0.00164 -0.0045 MA(1) = 0.4453 The complete model equations for the individual year for each water quality parameter are written in the equations below: (a) PH 2004: (1 0. 2024B)(1 B)Yt 1 0.5659B 0.1728B 2 )at 2005: (1 0.6106B)(1 B)Yt 0.00011 (1 0.9988B)at 2006: (1 0.3339B)(1 B)Yt 0.000069 (1 0.9288B)at 2007: (1 0.3824B)(1 B)Yt 0.00014 (1 0.8849B)at 50 (b) FE 2004: (1 0.1056B)(1 B)Yt 1 0.6057 B 0.2735B 2 )at 2005: (1 0.2813B)(1 B)Yt 0.0019 (1 0.9994B)at 2006: (1 0.1968B)(1 B)Yt 0.00077 (1 0.9333B)at 2007: (1 0.1259B)(1 B)Yt 0.00123 (1 0.9333B)at (c) AL 2004: (1 0.3443B)(1 B)Yt 0.00026 (1 0.9967 B)at 2005: (1 0.3461B)(1 B)Yt 0.00136 (1 0.9696B)at 2006: (1 0.2292B)(1 B)Yt 0.0016 (1 0.9320B)at 2007: (1 0.1619B)(1 B)Yt 0.00136 (1 0.9675B)at (d) MN 2004: (1 0.3381B)(1 B)Yt 0.00135 (1 0.9999B)at 2005: (1 0.1704B)(1 B)Yt 0.00048 (1 0.9531B)at 2006: (1 0. 7291B)(1 B)Yt 1 1.3892B 0.3897 B 2 )at 2007: (1 0.1245B)(1 B)Yt 0.00045 (1 0.9750B)at (e) NH4 2004: (1 0.3334B)(1 B)Yt 0.00308 (1 0.9995B)at 51 2005: (1 0.1430B)(1 B)Yt 1 0.7408B 0.2300B 2 )at 2006: (1 0.1554B)(1 B)Yt 0.00018 (1 0.9077 B)at 2007: (1 0.0096B)(1 B)Yt 0.0019 (1 0.9526B)at (f) Colour 2004: (1 0.6089B)(1 B)Yt 0.0016 (1 0.9995B)at 2005: (1 0.4306B)(1 B)Yt 0.00084 (1 0.9527 B)at 2006: (1 0.4616B)(1 B)Yt 0.00079 (1 0.8858B)at 2007: (1 0. 5256B)(1 B)Yt 1 0.7822B 0.1927 B 2 )at (g) Turbidity 2004: (1 0.6147 B)(1 B)Yt 0.0015 (1 0.9958B)at 2005: (1 0. 5235B)(1 B)Yt 1 0.7799B 0.2191B 2 )at 2006: (1 0.2323B)(1 B)Yt 0.00082 (1 0.8768B)at 2007: (1 0. 3515B)(1 B)Yt 1 0.5485B 0.3804 B 2 )at (h) SS 2005: (1 0. 5918B 0.2185B 2 )(1 B)Yt 1 0.3257 B 0.5924B 2 )at 2006: (1 1.1109B 0.3467 B 2 )(1 B)Yt 1 0.9628B)at 2007: (1 0.2624B)(1 B)Yt 0.0045 (1 0.44538B)at 52 6.5 Water Quality Trend Using ARIMA Modelling Plotting on the AR (1) coefficient against year for each water quality parameters is a best practice to represent the water quality trend of the upper part of Johor River. Previous study by Worrall and Burt (1999) used the AR (1) coefficient as a mean to illustrate such a different `memory effect‘ contain in each best-fitted model for each catchment. They (Worrall and Burt) developed univariate models of river water quality series taken from three different catchments in the United Kingdom. The purpose of their study was to explore the fine structure of the existing data sets as a mean of shedding light on the processes that generate them. A similar approach was also employed by Ayob, K (1999) to represent the trend of daily flow of Maridono peat catchment, but instead of different catchment, time series from different hydrological year were used. Similar approach was also employed here to represent the water quality trends at the upper part of the Johor River as shown in Figure 6.7 (a) to (h). AR(1) Coefficient PH Trend 2004-2007 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 2004 Figure 6.7 (a): PH Trend 2005 Year 2006 2007 53 AR(1) Coefficient FE Trend 2004-2007 0.3 0.25 0.2 0.15 0.1 0.05 0 2004 2005 2006 2007 Year Figure 6.7 (b): Iron (FE) Trend AR(1) Coefficient AL Trend 2004-2007 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 2004 2005 2006 2007 2006 2007 Year Figure 6.7 (c): Alluminium (AL) Trend Colour Trend 2004-2007 AR(1) Coefficient 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 2004 Figure 6.7 (d): Colour Trend 2005 Year 54 AR(1) Coefficient Turbidity Trend 2004-2007 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 2004 2005 2006 2007 Year AR(1) Coefficient Figure 6.7 (e): Turbidity Trend 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 -0.052004 Ammonium (NH4) Trend 2004-2007 2005 2006 2007 Year Figure 6.7 (f): Ammonium (NH4) Trend AR(1) Coefficient MN Trend 2004-2007 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 2004 2005 2006 Year Figure 6.7 (g): Manganese (MN) Trend 2007 55 SS Trend 2004-2007 AR(1) Coefficient 1.2 1 0.8 0.6 0.4 0.2 0 2004 2005 2006 2007 Year Figure 6.7 (h): Suspended Solid (SS) Trend 6.5.1 Discussion on the Water Quality Trend The water quality trend, Figure 6.2 (a) to (h) was compared with the rainfall- runoff pattern (Figure 6.1) to assess either they have similar pattern or not. This comparison is important to show the water quality and rainfall-runoff relationship. For parameter MN, NH4, SS, Turbidity and Colour, similar trend was observed. While for parameter PH, AL, and FE there have the opposite trend to the rainfall-runoff pattern. The reason of different behaviour of the water quality trend for PH, Al and Fe parameters compare to rainfall-runoff pattern are because PH level is greatly depending on the concentration of soluble hydrogen (H+) and hydroxide (OH-) ion. Higher concentration of H+ ion will resulted in decreasing PH level (acidic) while higher concentration of OH- ion will resulted in increasing PH level (alkaline) (Shayne R. and Nick Umney, 2003). Therefore, increasing amount of rainfall water is not really increase the PH level and vice versa. Hence the best practice to assess the PH trend might be by assessing the PH data series within their level of acidity and alkalinity. 56 For Al and Fe parameters, the reason of the different behaviour is that the behaviour of trace elements (Fe and Al) is to a large extent determined by their chemical forms of occurrence. As reported by Gambrell (1994), general chemical forms of elements include: 1. water-soluble metals, as free ions, inorganic or organic complexes 2. exchangeable metals 3. metals precipitated as inorganic compounds, including insoluble sulphides 4. metals complexed with large molecular-weight humic materials 5. metals adsorbed or occluded to precipitated hydrous oxides and 6. metals bound within the crystalline lattice structure of primary minerals. As a result, Al and Fe are governed by numerous processes, including sorption/ desorption, precipitation/ dissolution and complexation/ decomplexation. Therefore, comparing Al and Fe trend with rainfall and runoff pattern alone is not really true. In year 2005 to 2006, a wide area of land was opened at Kota Tinggi district for plantation of palm oil and rubber under FELDA and RISDA Land Development scheme in relation to the Ninth Malaysian Plan (RMK 9). As reported in Ninth Malaysian Plan (2006-2010), agricultural land use increased from 5.9 million hectares in 2000 to 6.4 million hectares in 2005, largely due to the expansion in the hectarage of oil palm, coconuts, vegetables and fruits. Of the total land area, 4.0 million hectares were under oil palm followed by 1.3 million hectares under rubber. The agro-based industry grew at 4.5 per cent per annum. Total export earnings of the agro-based industry increased significantly by 8.7 per cent per annum to reach RM 37.4 billion in 2005. Therefore in RMK 9, government decided to increase the agricultural for every state including Johor. It is expected to grow at higher average annual rate of 5.0 per cent (The Economic Planning Unit Prime Minister‘s Department Malaysia, 2006). Agriculture is a major source of water quality problems (Howard H.G, 2006). Primary stage of the agricultural activities need large amount of fertilizer in regular time. In fact, Manganese (Mn) and Ammonium (NH4) are the major element in 57 fertilizer. These types of nutrient are important for the growth of plant. Hence, increasing trend of this parameter at year 2005 to 2006 was observed, then decreasing after that as only certain amount of fertiliser is needed in this stage. Turbidity and colour refers to water clarity. The greater the amount of suspended solids (SS) in the water, the murkier it appears, and the higher the measured turbidity and colour. Suspended solids in streams are often the result of sediments carried by the water. The source of these sediments includes natural and anthropogenic (human) activities in the watershed, such as natural or excessive soil erosion from agriculture, forestry or construction, urban runoff, industrial effluents, or excess phytoplankton growth (The Economic Planning Unit Prime Minister‘s Department Malaysia, 2006). Some of these activities is believe are the causes of increasing trend of turbidity, colour and SS trend in the Johor Rivers at year 2005 to 2006. 58 CHAPTER VII CONCLUSION AND RECOMMENDATION 7.1 Conclusion Water quality trend at the upper part of Johor River was successfully obtained using both ARIMA modelling and Mann-Kendall test. Water quality trend without considering missing data, outlier, normal distribution and stationary was obtained using Mann-Kendall test. From the test, PH, Al, Fe, NH4 and Mn shows decreasing trend while colour, turbidity and suspended solid (SS) have decreasing trend since year 2004 to 2007. ARIMA modelling was conducted by considering all of the factors that affecting a trend in water quality and hydrological time series analysis such as the error, missing data, outlier, seasonal component, stationary and etc. Therefore, water quality trend at the upper part of Johor River is best presented by plotted AR(1) coefficient obtained from ARIMA modelling against year than result obtained from Mann-Kendall test. Hence, it can concluded that Ammonium (NH4), Manganese (Mn), suspended solid (SS), turbidity and colour have a trend whereas declining trend at 2004 to 2005, increasing trend at 2005 to 2006 then decrease again after that. While for PH, Al and Fe, they have the opposite trend. Besides, Mann Kendall test is best representing the relationship of water quality-rainfall and water quality-flow alone indicates by zero or near to zero 59 probability. This proved that both rainfall and runoff have a strong relationship with water quality parameters. Then, comparison between runoff coefficient plot and water quality trend from the ARIMA analysis is best described the relationship of water quality, rainfall and flow together. Ammonium (NH4), Manganese (Mn), suspended solid (SS), turbidity and colour have a similar trend with the rainfall and runoff whereas declining trend at 2004 to 2005, increasing trend at 2005 to 2006 then decrease again after that. While for PH, Al and Fe, they have opposite trend with rainfall and runoff pattern. Therefore, Mn, NH4, SS, turbidity and colour have strong relationship with rainfall and runoff. On the other hand, PH, Al and Fe have weak relationship with rainfall and runoff. 7.2 Recommendation 1. Transfer function modelling is recommended to conduct to determine the dynamic relationship of the water quality and rainfall-runoff. By doing that, it can tell us how much amount of water quality parameter will exist when there is a unit of rainfall or runoff present. Therefore, some methods for controlling the pollutant from entering the river can be applied. 2. Conduct multiple input-single output analysis because water quality is neither a static condition of a system, nor can it be defined by the measurement of only one parameter. There is a range of chemical, physical, and biological components that affect water quality. Besides, from the analysis all of the water quality parameters investigated is correlated with each other. Therefore, combining all of the factors as input and assessing their effect to the rainfall and flow respectively is expected to give more reliable and beneficial result. 60 REFERENCES Abu Farah Md. et. al., (2006). ―Trends of Bulk Precipitation and Streamwater Chemistry in a Small Mountainous watershed on The Shikoku Island of Japan.‖ Water, Air, and Soil Pollution 175: 257–273. Anpalaki J. Ragavan and George C. Fernandez., (2006). ―Modeling Water Quality Trend in Long Term Time Series.‖ SUGI 31 Proceedings, March 26-29, San Francisco, California, Paper 205-31. A.W.Kenneth and G.P.Robert (2006). ―Groundwater abstraction impacts on spring flow and base flow in the Hillsborough River Basin, Florida, USA.‖ Hydrogeology Journal 14: 1252–1264. Axel Lehmann And Michael Rode, (2000). ―Long-Term Behaviour And CrossCorrelation Water Quality Analysis Of The River Elbe, Germany.‖ PII: S0043-1354(00)00488-7 Ayob K. (1999). Hydrologic Characteristics and Time Series Modelling of a Drained Peat Catchment in Johor, Malaysia. Phd. Universiti Teknologi Malaysia. Box G. E. P. and Jenkins G.M. (1976). Time Series Analysis: Forecasting and Control. Holden-Day, San Francisco. Box, G. E. P., Jenkins, G. M. and Reisel, G. C. (1994). ―Time Series Analysis Forecasting and Control.‖ 3rd ed. New Jersey: Prentice Hall. 61 Burn, D. H. and Hag Elnur,M. A.(2002). ―Detection of hydrological trends and variability‖. J. Hydrol. 255(1–4), 107–122. C. Gun and R. Vilagines, (1997). ―Time series analysis on chlorides, nitrates, ammonium and dissolved oxygen concentrations in the Seine River near Paris.‖ The Science of the Total Environment 208 59-69 Crapper. G and R. Vilagines, (1997). ―Time series analysis on chlorides, nitrates, and ammonium and dissolved oxygen concentrations in the Seine River near Paris.‖ The Science of the Total Environment 208 59-69 Daniel Pena, George C Tiao, Ruey S.Tsay. (2001).‖A Course in Time Series Analysis‖. John Wiley and Sons, USA. Department of Environment , DOE (2007). Malaysia Environmental Quality Report. Department of Environment Ministry of Natural Resources and Environment Malaysia. Douglas, E. M., Vogel, R. M. and Kroll, C. N. (2000). ―Trends in floods and low flows in the United States: impact of spatial correlation.‖ J. Hydrol. 240 90– 105. Ercan Kahya and Serdar Kalayc. (2004). ―Trend analysis of streamflow in Turkey‖. Journal of Hydrology 289 128–144 Feng Zhou, Huaicheng Guo, Yong Liu, and Yumei Jiang, (2007). ―Chemometrics data analysis of marine water quality and source identification in Southern Hong Kong.‖ Marine Pollution Bulletin 54 745–756. Gambrell R.P.( 1994). ―Trace and toxic metals in wetlands—a review.‖ J Environ Qual 23, 883–91. Gan, T. Y.(1998). ―Hydroclimatic trends and possible climatic warming in the Canadian Prairies‖. Water Res. Res. 34(11), 3009–3015. 62 Giuseppe Bendoricchio and Gabriella De Boni, (2005). ―A water-quality model for the Lagoon of Venice, Italy.‖ Ecological Modelling 184 69–81 Hamilton, J. P., Whitelaw, G. S. and Fenech, A. (2001). ―Mean annual temperature and annual precipitation trends at Canadian biosphere reserves.‖ Envir. Monit. Assess. 67, 239–275. Heejun Chang (2008). ―Spatial analysis of water quality trends in the Han River basin, South Korea.‖ Water Research 42 3285 – 3304 Howard H. Guyer (1998). ―Industrial Processes and Waste Stream Management‖. USA. John Wiley and Son. Kendall, M. G.(1975). Rank Correlation Methods, Griffin, London. Land and Survey Department (2006), Topography and land use, Johore (Table of Basic Data, 2.3). Lee, J. Y. and Lee, K. K. (2000). ―Use of Hydrologic Time Series Data for Identification of Recharge Mechanism in a Fractured Bedrock Aquifer System.‖ J. Hydrol. 229, 190-201. Lins, H. F. and Slack, J. R. (1999). ―Streamflow trends in the United States.‖ Geophys. Res. Lett. 26(2), 227–230. Liu, L. M., Bhattacharyya, S., Sclove, S. L., Chen, R. and Lattyak, W. J. (2001).― Data Mining on Time Series: an Illustration Using Fast-food Restaurant Franchise Data.‖Comp. Stat. & Data Anal. 37:445-476. Lunchakorn Prathumratana, Suthipong Sthiannopkao, and Kyoung Woong Kim. (2008). Review article: The relationship of climatic and hydrological parameters to surface water quality in the lower Mekong River‖. Environment International 34, 860–866. 63 Mann, H. B.(1945). ―Nonparametric tests against trend.‖ Econometrica 13, 245–259. McLeod, A. I. (1978). ―Simulation Procedures for Box-Jenkins Models.‖ Wat. Resour. Res. 14(5): 969-974. Michael R. Stevens (2003). ―Water Quality and Trend Analysis of Colorado–Big Thompson System Reservoirs and Related Conveyances, 1969 Through 2000.‖ Water-Resources Investigations Report USGS 03-4044 Moore, D. S. and McCabe, G. P. (1999). ―Introduction to the Practice of Statistics”, 3rd ed. New York: W. H. Freeman. M. Power, M. J. Attrill and R. M. Thomas, (1997). ―Heavy Metal Concentration Trends In The Thames Estuary.‖ PII: S0043-1354(98)00394-7 Pankratz, A. (1991). ―Forecasting with Dynamic Regression Models.‖ United States: John Wiley. 386 pp. Peter J. Brockwell and Richard A. Davis (2002). ―Introduction to Time Series and Forecasting‖. Sec. Ed. Springer. USA. R. Bouza-Dean, M. Ternero-Rodrı´guez and A.J. Ferna´ndez-Espinosa (2008). Trend study and assessment of surface water quality in the Ebro River (Spain). Journal of Hydrology 361: 227– 239. Robert C. Ferrier, Anthony C. Edwards, David Hirst, Ian G. Littlewood, Carol D. Watts, and Rob Morris, (2001). ―Water quality of Scottish rivers: spatial and temporal trends.‖ The Science of the Total Environment 265 327-342 Robert Yafee and Monnie McGee. (2000). ― Introduction to Time Series Analysis and Forecasting With Application of SAS ans SPSS‖. Academic Press, Inc., New York. 64 Shayne Rivers and Nick Umney, (2003). ―Conservation of Furniture‖. ButterwothHeinemann. p527. Shumway, R. H. (1988). ―Applied Statistical Time Series Analysis.‖ New Jersey: Prentice Halls. 379 pp. Sigler JW and Bjornn TC, (1984).‖Everest FH. Effects of chronic turbidity on density and of steelheads and coho salmon.‖ Trans Am Fish Soc 113:142–50. Slini, Th., Karatzas, K. and Moussiopoulos, N. (2002). ―Statistical Analysis of Environmental Data as the Basis of Forecasting: An Air Quality Application.‖ The Sci. of The Tot. Env. 288, 227-23. SPSS (1993). ―SPSS for Windows-Trend.‖ Release .6.0. The Economic Planning Unit Prime Minister‘s Department (2006). ―Ninth Malaysian Plan (2006-2010)‖. Chapter 3 and 22. Putrajaya, Malaysia. T. Yamada & T. Inoue & H. Fukuhara & O. Nakahara & T. Izuta & R. Suda & M. Takahashi & H. Sase & A. Takahashi & H. Kobayashi & T. Ohizumi & T. Hakamata (2007). Long-term Trends in Surface Water Quality of Five Lakes in Japan, Water Air Soil Pollut: Focus 7:259–266. Vladimir Novotny (2003). ―Water Quality: Diffuse Pollution and Watershed Management‖. Second Ed. USA: John Wiley & Sons, Inc. Von Storch, V. H.(1995). ―Misuses of statistical analysis in climate research.‖ in H. V. Storch and A.Navarra (eds), Analysis of Climate Variability: Applications of Statistical Techniques, Springer-Verlag Berlin, 11–26. 33. 65 Worrall, F. and Burt, T.P. (1999). ―A Univariate Model of River Water Nitrate Time Series.‖ J. Hydrol. 214, 64-90. Yue, S. and Hashino (2003). ―Long term trends of annual and monthly precipitation in Japan.‖ J. Amer.Water Res. Assoc. 39(3), 587–596 Yue S. and Wang.C (2004), ―The Mann-Kendall Test Modified by Effective Sample Size to Detect Trend in Serially Correlated Hydrological Series.‖ Water Resources Management 18, 201–218.. 66 APPENDIX A - FLOWCHART OF METHODOLOGY 67 APPENDIX B1 – Daily Water Quality and Hydrological Data for Year 2004 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 PH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Colour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Turb . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Al . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . NH4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Mn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . SS 0.00 0.00 0.00 0.00 0.00 0.00 0.00 31.00 0.00 4.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 49.00 0.00 0.00 0.00 5.00 77.00 0.00 5.00 25.00 54.00 95.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 68 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15.81 9.90 6.67 5.64 5.01 4.46 3.96 3.66 3.41 3.58 6.95 6.96 5.79 5.09 4.03 3.45 3.90 4.15 4.30 4.43 3.81 5.09 9.96 8.65 7.78 6.73 6.61 9.66 115.52 213.14 213.54 192.95 169.32 144.61 114.56 88.46 86.35 84.62 72.24 59.30 53.80 55.68 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 3.00 0.00 0.00 0.00 15.00 0.00 290.00 18.00 0.00 13.00 7.50 0.00 0.00 18.00 19.00 0.00 27.00 9.50 0.00 12.00 0.00 0.00 69 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51.34 45.59 34.94 29.45 37.60 36.98 45.76 40.92 46.12 35.65 23.82 14.05 13.15 26.83 38.85 39.00 35.78 37.16 26.41 23.21 31.62 27.43 20.69 14.99 11.38 10.92 10.89 9.60 7.12 5.92 5.18 5.88 5.33 5.67 4.58 5.08 6.89 9.64 7.72 9.61 9.65 7.81 9.04 0.00 3.00 3.00 0.00 5.00 0.00 10.00 0.00 0.00 0.00 0.00 6.00 25.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5.00 0.00 0.00 0.00 4.50 0.00 0.00 0.00 0.00 0.00 0.00 0.00 35.00 17.00 12.00 8.00 0.00 0.00 0.00 17.00 0.00 0.00 70 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.34 9.46 8.15 7.65 7.14 6.58 4.61 3.83 3.53 3.52 3.50 3.57 3.13 2.77 2.70 2.55 2.68 3.41 3.64 3.14 4.16 4.56 4.81 5.16 5.34 3.99 3.61 4.23 7.84 4.30 2.54 3.25 7.47 4.64 4.87 5.19 0.96 2.70 4.60 4.01 3.37 3.04 2.83 4.00 0.00 0.00 0.00 0.00 0.00 0.00 14.00 0.00 0.00 0.00 0.00 14.00 0.00 0.00 8.50 0.00 0.00 0.00 30.00 4.00 0.00 2.00 2.00 0.00 12.00 11.00 0.00 0.00 0.00 0.00 45.00 0.00 0.00 15.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 71 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.79 5.85 5.93 5.79 5.66 5.88 5.82 5.87 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1397.17 568.75 337.42 641.83 886.25 937.00 1274.00 774.33 940.17 739.67 919.33 834.64 956.08 . . . . . . . . . . . . . . . . . . 136.40 182.22 165.75 253.40 188.13 . . . . . . 227.54 127.38 158.23 82.93 85.88 109.95 93.46 71.76 69.41 74.02 70.57 76.95 97.20 134.50 . . . . . . . . . . . . . . 0.05 0.06 0.07 0.01 0.02 0.02 0.03 0.02 0.12 0.05 0.02 0.02 0.02 0.07 0.07 0.11 0.10 0.07 0.09 0.03 0.02 0.02 0.05 0.04 0.06 0.02 0.01 0.02 0.03 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.08 0.12 0.20 0.11 0.16 0.05 0.05 0.07 0.05 0.04 0.02 0.06 0.15 . . . . . . . . . . . . . . 0.04 0.03 0.04 0.01 0.02 0.02 0.02 0.04 0.19 0.01 0.02 0.02 0.03 0.14 0.01 0.02 0.13 0.07 0.12 0.08 0.10 0.07 0.11 0.06 0.05 0.06 0.07 0.02 0.09 . . . . . . . . . . . . . . 0.18 0.09 0.12 0.08 0.06 0.04 0.06 0.09 . . 0.09 0.11 0.13 . . 0.13 0.18 0.13 0.18 0.15 0.15 0.14 0.19 0.13 0.13 0.10 0.11 0.13 0.13 3.76 5.54 6.19 4.81 2.86 2.44 2.27 2.35 2.40 2.64 3.71 4.32 4.55 4.82 4.31 4.80 4.84 4.61 1.29 0.89 2.68 3.49 4.54 5.38 6.21 7.05 11.80 28.79 58.16 75.10 65.35 23.96 8.40 5.26 4.26 3.81 3.59 3.93 4.01 4.20 4.18 4.04 3.33 3.00 0.00 0.00 4.50 1.00 23.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3.00 89.00 3.00 5.00 25.00 60.00 26.00 0.00 7.00 85.00 21.00 40.00 0.00 10.00 5.00 0.00 0.00 0.00 6.00 0.00 0.00 5.00 0.00 4.00 2.00 1.50 5.00 17.00 72 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 5.88 5.66 5.84 5.93 5.88 5.92 5.86 5.86 5.84 5.85 5.91 5.94 5.98 6.12 6.06 6.13 6.22 6.22 . . . . . . . 6.22 6.13 6.20 6.19 6.06 6.05 6.24 6.10 6.06 6.11 6.19 6.02 5.94 5.94 5.81 5.97 6.01 6.18 1037.33 1574.25 1051.07 793.00 773.08 723.17 582.08 506.75 704.92 657.83 576.67 579.42 589.90 533.25 641.07 739.25 701.42 378.83 479.08 290.40 . 488.00 747.45 639.42 458.75 580.75 972.67 882.42 854.55 1153.00 901.78 683.20 666.25 742.92 931.50 817.67 1643.25 1610.75 1723.09 1647.75 918.17 710.58 774.11 148.96 176.21 97.30 94.98 102.66 95.46 72.07 83.27 85.50 80.17 74.41 71.76 111.85 84.81 88.65 77.68 77.84 64.34 187.10 79.80 63.67 75.59 114.42 74.48 57.66 71.49 131.76 122.24 144.26 . 167.00 87.15 89.03 148.71 85.43 202.48 228.00 210.17 237.45 242.25 114.52 107.40 107.00 0.06 0.05 0.02 0.06 0.06 0.04 0.03 0.04 0.06 0.04 0.02 0.02 0.08 0.06 0.02 0.10 0.09 0.09 0.01 0.04 0.01 0.02 0.01 0.01 0.01 0.00 0.04 0.01 0.01 0.03 0.03 0.04 0.05 0.03 0.03 0.02 0.01 0.01 0.04 0.07 0.02 0.01 0.00 0.09 . 0.11 0.09 0.04 0.06 0.09 0.11 . 0.13 0.07 0.06 0.11 0.17 0.07 0.13 0.18 0.08 0.07 0.11 0.08 0.18 0.10 0.09 0.11 0.08 0.12 0.10 0.14 0.10 0.10 0.09 0.15 0.08 0.11 0.11 0.13 0.06 0.19 . . 0.03 0.05 0.21 . 0.19 0.04 0.07 0.04 0.06 0.16 0.18 0.09 0.01 0.01 0.10 0.15 0.06 0.14 0.22 0.07 0.00 0.02 0.01 0.06 0.03 0.02 0.02 0.01 0.13 0.04 0.04 0.05 0.09 0.12 0.12 0.02 0.07 0.04 0.06 0.06 0.11 0.09 0.13 0.01 0.01 0.17 0.21 0.13 0.14 0.18 0.10 0.12 0.21 0.15 0.12 0.12 0.11 0.11 0.07 0.08 0.10 0.16 0.14 0.07 0.10 0.03 0.14 0.12 0.07 0.09 0.11 0.19 0.21 0.17 0.23 0.16 0.15 0.11 0.04 0.04 0.03 0.13 0.09 0.10 0.21 0.22 0.05 0.07 1.87 3.33 2.74 3.36 3.51 4.09 4.40 4.68 5.02 5.30 4.12 3.20 3.09 2.85 2.75 1.65 0.90 0.28 0.03 1.18 1.76 2.27 0.87 1.85 2.66 3.13 3.11 2.63 2.29 -0.90 0.97 2.82 2.30 3.18 3.30 4.07 5.16 6.24 7.33 8.42 9.51 10.01 7.29 0.00 12.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 40.00 4.00 0.00 10.00 0.00 17.00 0.00 0.00 0.00 18.00 0.00 0.00 26.50 0.00 0.00 0.00 0.00 4.50 23.00 13.00 0.00 15.50 35.00 0.00 0.00 0.00 0.00 0.00 73 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 6.16 5.89 . 5.84 5.76 5.84 5.81 5.93 6.15 5.93 5.94 5.87 5.78 5.60 5.89 5.84 5.71 5.70 5.74 5.71 5.74 6.07 5.75 . 5.86 5.82 5.86 5.75 5.79 5.59 5.59 5.69 6.01 . . . . . . . . . . 589.27 1183.50 1764.58 1797.86 1386.80 1440.78 1496.55 1139.33 941.08 1153.42 877.67 1601.18 1276.08 1464.50 942.42 989.43 1550.33 600.00 1645.08 1379.25 797.00 710.00 712.75 530.83 564.75 591.33 955.33 1435.67 1486.36 1402.00 789.83 484.25 630.75 . . . . . . . . . . 74.33 257.53 . 138.82 180.40 194.11 192.18 137.48 127.23 168.00 147.98 239.36 130.03 204.92 126.27 156.63 251.98 115.00 221.93 192.50 93.60 91.00 77.03 77.67 68.33 72.05 174.08 196.00 254.55 . . . . . . . . . . . . . . 0.01 0.00 0.03 0.01 0.00 0.00 0.03 0.04 0.03 0.08 0.03 0.03 0.03 0.07 0.05 0.01 0.02 0.03 0.04 0.04 0.03 0.03 0.03 0.02 0.01 0.02 0.02 0.07 0.03 0.11 0.06 0.02 0.02 . . . . . . . . . . 0.09 0.05 0.13 0.10 0.10 0.09 0.10 0.02 0.08 . . . . . . . . . . . 0.18 0.12 0.07 0.12 0.20 0.13 0.10 . . . . . . . . . . . . . . . . 0.04 0.01 0.05 0.00 0.17 0.05 0.03 0.03 0.00 0.20 0.09 0.07 0.08 0.16 0.15 0.06 0.09 0.16 0.14 0.13 0.10 0.03 0.03 0.01 0.08 0.06 0.06 . 0.08 . 0.15 0.07 0.10 . . . . . . . . . . 0.09 0.03 . 0.16 0.16 0.17 0.23 0.13 0.16 . 0.19 0.11 0.11 0.23 0.21 0.15 0.08 0.18 0.09 0.16 0.10 0.14 0.12 0.03 0.05 0.08 0.08 0.22 . . 0.14 0.05 0.06 . . . . . . . . . . 4.76 10.30 26.16 10.67 9.91 11.65 13.02 11.61 10.93 11.00 11.60 37.43 30.17 42.51 38.85 90.03 73.84 87.61 80.99 91.27 68.59 64.31 62.25 59.85 57.93 27.20 10.30 17.68 26.63 52.93 56.22 37.29 29.70 52.37 52.38 38.52 21.83 15.38 16.68 26.18 42.50 52.72 51.99 5.00 0.00 10.00 8.00 3.00 0.00 0.00 3.00 0.00 44.00 1.00 63.00 0.00 0.00 5.00 7.00 47.00 3.00 2.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 45.00 48.00 48.00 0.00 0.00 58.00 0.00 0.00 0.00 0.00 5.00 33.00 44.00 15.00 15.00 0.00 7.00 74 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 . . . . . . . . . . . . . . . . . . . . . . 5.72 5.75 5.89 5.92 5.99 5.87 5.88 5.98 6.01 6.01 6.00 5.94 6.06 5.88 5.91 5.96 5.90 . 5.92 5.85 5.91 . . . . . . . . . . . . . . . . . . . 1134.40 548.08 374.26 580.42 874.75 1013.50 858.42 743.58 529.33 967.08 652.17 803.08 632.83 736.75 736.75 924.55 895.25 1570.17 1146.83 743.67 . 385.58 530.33 618.70 . . . . . . . . . . . . . . . . . . . 108.69 79.68 76.23 69.97 120.31 137.67 78.00 79.97 70.18 161.50 73.22 85.07 77.55 91.22 114.48 133.48 118.67 167.08 146.92 85.04 . 60.88 67.26 62.07 . . . . . . . . . . . . . . . . . . . 0.07 0.03 0.07 0.06 0.04 0.03 0.05 0.07 0.06 0.04 0.01 0.01 0.02 0.01 0.04 0.03 0.02 0.04 0.05 0.07 . 0.02 0.02 0.03 . . . . . . . . . . . . . . . . . . . 0.15 0.14 0.03 0.08 0.10 0.09 0.07 0.02 0.08 0.08 0.13 0.05 0.06 0.05 0.04 0.06 0.06 0.07 0.08 0.18 . 0.07 0.09 0.10 . . . . . . . . . . . . . . . . . . . 0.07 0.08 0.05 0.08 0.03 0.04 0.03 0.07 0.07 0.07 0.06 0.04 0.05 0.07 0.06 0.05 0.04 0.08 0.08 0.15 . 0.05 0.07 0.10 . . . . . . . . . . . . . . . . . . . 0.04 0.07 0.05 0.12 0.10 0.06 0.11 0.14 0.15 0.16 0.04 0.10 0.03 0.15 0.13 0.11 0.04 0.15 0.11 0.12 . 0.10 0.13 0.11 50.36 47.49 44.77 45.71 43.64 47.69 36.15 42.40 45.19 64.61 77.82 85.00 85.46 70.42 70.03 62.98 62.26 75.19 90.74 97.18 93.67 89.28 88.74 88.17 90.28 88.60 83.21 78.75 73.32 70.79 68.60 63.49 59.67 61.55 67.28 71.94 80.26 76.56 84.20 75.46 56.53 46.04 42.43 1.00 11.00 10.00 13.00 2.00 0.00 8.00 14.00 0.00 0.00 25.00 12.00 0.00 58.00 0.00 22.00 0.00 36.00 5.50 5.00 7.50 4.50 24.00 0.00 0.00 15.00 0.00 0.00 2.00 0.00 0.00 14.00 5.00 0.00 5.00 0.00 0.00 0.00 0.00 0.00 14.00 10.00 0.00 75 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 5.95 5.92 6.07 6.05 5.98 5.86 6.02 5.87 6.08 6.20 5.95 6.01 5.97 6.00 5.94 5.93 6.24 6.19 6.19 5.96 6.08 6.05 . 6.25 6.23 6.04 565.75 630.78 971.83 788.63 598.11 . . . 386.27 467.44 555.17 505.00 651.08 946.75 557.22 593.82 575.38 526.56 425.17 403.67 320.83 439.00 335.17 545.33 557.50 1458.67 66.43 92.87 74.39 80.66 88.81 . 115.83 204.51 153.36 85.03 70.48 69.47 89.75 110.21 79.72 81.56 82.58 124.80 61.30 62.50 . . . 64.31 80.83 217.33 0.02 0.09 0.03 0.02 0.02 0.12 0.05 0.04 0.04 0.04 0.11 0.02 0.01 0.03 0.01 0.02 0.06 0.02 0.04 0.05 0.04 0.03 0.04 0.07 0.04 0.07 0.06 0.07 0.09 0.05 0.07 . 0.12 0.11 0.07 0.05 0.08 0.03 0.07 0.05 0.10 0.08 0.07 0.03 0.08 0.10 0.05 0.07 0.06 0.10 0.12 0.13 0.05 0.08 0.08 0.06 0.05 . 0.09 0.14 0.05 0.10 0.07 0.10 0.06 0.04 0.04 0.04 0.12 0.10 0.10 0.07 0.08 0.06 0.12 0.10 0.10 0.14 0.09 0.11 0.11 0.10 0.12 . 0.14 0.17 0.10 0.11 0.12 0.07 0.10 0.10 0.08 0.04 0.12 0.08 0.13 0.15 0.13 0.11 0.08 0.12 0.13 0.18 33.94 31.56 33.32 26.52 20.48 36.04 28.83 35.65 31.08 23.23 17.95 16.27 16.02 16.15 15.05 14.42 14.14 13.75 13.36 13.16 32.34 21.28 22.41 22.21 20.93 13.93 0.00 0.00 3.00 0.00 16.00 7.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 28.00 3.00 20.00 70.00 30.00 76 APPENDIX B2 - Daily Water Quality and Hydrological Data for Year 2005 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 PH 6.09 5.94 5.74 5.84 5.74 5.58 5.75 5.75 5.74 5.67 5.64 5.77 5.69 5.61 5.73 5.87 5.59 5.66 6.01 5.76 5.74 5.65 5.82 5.81 5.92 5.84 5.90 6.07 6.17 6.13 6.04 5.71 5.84 5.86 6.15 5.98 6.08 Colour 2622.75 1921.50 839.67 684.17 868.00 634.50 639.00 1188.17 1213.50 751.67 492.33 338.67 348.00 407.50 414.67 397.20 915.80 372.67 380.40 440.60 469.50 406.00 333.00 358.80 495.60 414.80 398.50 430.33 330.17 549.83 467.00 484.83 370.67 242.83 369.17 282.00 321.33 Turb 286.00 205.50 205.58 151.08 112.58 71.78 63.29 133.43 156.33 92.86 50.23 35.07 39.67 53.64 41.25 38.98 39.98 38.73 47.63 61.55 74.49 61.31 39.68 61.00 50.04 81.20 94.06 52.07 47.93 51.06 55.51 65.71 63.79 61.70 54.30 35.08 56.86 Al 0.12 0.12 0.06 0.04 0.06 0.07 0.03 0.00 0.01 0.02 0.01 0.00 0.03 0.09 0.01 0.00 0.01 0.01 0.03 0.02 0.01 0.01 0.02 0.01 0.03 0.03 0.02 0.02 0.06 0.04 0.02 0.03 0.02 0.01 0.02 0.02 0.03 Fe 0.11 0.11 0.11 0.09 0.18 0.10 0.04 0.03 0.09 0.07 0.03 0.00 0.16 0.12 0.01 0.08 0.04 0.07 0.07 0.11 0.11 0.04 0.06 0.09 0.07 0.13 0.06 0.21 0.07 0.10 0.10 0.12 0.10 0.04 0.13 0.05 0.11 NH4 0.10 0.12 0.05 0.09 0.11 0.11 0.07 0.02 0.01 0.01 0.01 0.01 0.08 0.13 0.02 0.03 0.04 0.01 0.07 0.04 0.04 0.04 0.04 0.05 0.04 0.10 0.12 0.06 0.05 0.08 0.06 0.07 0.04 0.00 0.07 0.00 0.09 Mn 0.18 0.18 0.22 0.10 0.12 0.16 0.09 0.07 0.09 0.06 0.05 0.05 0.10 0.13 0.08 0.06 0.05 0.06 0.12 0.05 0.04 0.04 0.05 0.12 0.07 0.08 0.14 0.06 0.10 0.16 0.06 0.08 0.08 0.06 0.09 0.08 0.09 Flow 92.13 130.16 185.89 220.11 223.34 196.68 148.90 110.75 76.67 66.84 73.82 70.89 72.94 61.78 48.17 40.57 35.57 31.87 28.53 18.87 9.32 7.47 6.60 5.72 4.95 4.33 4.10 3.62 5.08 4.91 3.98 2.97 2.63 2.51 2.35 2.63 3.78 SS Rainfall . 73.00 849.10 1.50 1214.80 28.00 1438.40 1.50 1459.30 0.00 1285.60 40.00 973.30 20.00 707.10 0.00 429.80 0.00 356.10 0.00 408.00 0.00 390.40 0.00 401.10 0.00 319.90 0.00 228.30 0.00 180.20 0.00 150.60 0.00 130.30 0.00 112.00 0.00 64.60 0.00 23.50 0.00 17.40 0.00 14.80 0.00 12.30 0.00 10.60 0.00 9.10 0.00 8.40 0.00 8.30 0.00 10.80 0.00 10.40 0.00 7.40 0.00 6.00 0.00 5.00 0.00 5.00 0.00 5.00 0.00 5.40 0.00 7.80 0.00 77 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 6.00 6.13 5.69 6.03 6.20 6.32 6.14 5.91 6.05 6.05 5.97 6.08 6.15 6.22 6.23 6.14 6.17 5.96 5.87 . 5.95 6.25 6.06 6.09 6.03 5.93 . 6.17 6.34 6.05 6.05 6.29 6.16 6.15 6.08 6.01 6.06 6.04 6.04 6.06 269.80 347.33 299.67 515.00 355.00 313.50 358.50 380.00 728.00 281.80 319.00 431.00 294.33 392.00 424.40 450.17 548.83 338.83 373.40 . 370.33 382.83 417.33 339.00 370.67 695.60 . 328.20 445.75 743.67 584.17 300.17 219.67 443.00 379.00 454.33 434.83 446.33 276.17 256.00 37.31 35.62 32.61 58.31 38.98 32.25 62.49 83.45 121.09 49.62 33.29 33.57 24.37 52.98 56.77 66.16 66.58 37.76 40.88 . 39.30 52.67 69.53 42.41 60.33 115.16 . 44.07 88.35 90.50 66.38 44.01 31.86 39.21 34.64 42.38 41.08 51.27 41.69 40.63 0.01 0.01 0.04 0.01 0.02 0.02 0.03 0.03 0.02 0.01 0.01 0.00 0.01 0.04 0.05 0.05 0.03 0.07 0.05 . 0.03 0.04 0.05 0.11 0.01 0.02 . 0.03 0.09 0.04 0.03 0.03 0.03 0.04 0.02 0.03 0.02 0.06 0.03 0.02 0.02 0.06 0.08 0.09 0.11 0.07 0.05 0.07 0.10 0.05 0.06 0.06 0.05 0.06 0.09 0.09 0.05 0.04 0.43 . 0.05 0.08 0.09 0.08 0.03 0.09 . 0.07 0.16 0.08 0.09 0.04 0.04 0.03 0.04 0.04 0.00 0.10 0.08 0.03 0.02 0.01 0.03 0.09 0.06 0.03 0.04 0.00 0.02 0.00 0.05 0.02 0.04 0.04 0.08 0.10 0.06 0.04 0.04 . 0.04 0.07 0.10 0.03 0.06 0.00 . 0.04 0.14 0.11 0.12 0.06 0.02 0.00 0.00 0.01 0.01 0.07 0.08 0.04 0.04 0.04 0.07 0.11 0.08 0.02 0.04 0.11 0.11 0.07 0.08 0.08 0.04 0.05 0.25 0.13 0.13 0.08 0.11 . 0.08 0.07 0.10 0.09 0.10 0.15 . 0.06 0.10 0.10 2.43 0.10 0.06 0.00 0.02 0.07 0.05 0.11 0.12 0.10 4.59 4.63 6.86 9.98 13.12 12.25 7.81 4.74 2.79 2.36 2.16 2.02 1.89 2.71 10.32 18.49 21.29 16.05 10.27 7.62 8.91 8.09 6.56 2.36 0.83 1.15 1.42 1.55 3.18 4.11 3.21 2.88 3.99 7.09 6.77 4.60 3.46 2.11 0.92 0.70 9.60 9.50 15.50 26.40 38.60 35.00 18.60 10.00 5.50 5.00 4.00 4.00 4.00 5.50 28.20 62.30 75.10 51.30 27.40 17.90 22.00 19.40 14.90 4.80 2.00 2.40 3.00 3.30 6.60 8.50 6.50 5.60 8.40 16.30 15.40 9.50 7.00 4.20 1.90 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 26.00 23.50 0.00 0.00 0.00 4.00 0.00 0.00 41.00 0.00 0.00 0.00 0.00 21.00 26.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 78 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 6.04 6.04 6.14 6.22 6.03 6.03 6.15 6.16 6.30 6.11 6.19 6.34 5.82 5.94 6.05 6.07 5.90 6.05 6.19 6.09 6.03 6.16 6.12 6.05 6.16 6.10 6.15 5.89 6.03 6.15 6.04 6.00 6.16 6.22 6.26 5.90 5.97 6.01 6.23 6.34 274.83 387.60 226.80 250.50 326.33 392.00 302.17 265.50 321.50 755.67 501.33 474.33 764.83 770.80 539.17 444.50 538.67 515.33 571.67 432.67 402.33 380.00 333.50 395.33 451.50 711.50 557.83 518.50 458.83 641.33 442.33 488.33 457.17 326.17 356.33 601.33 745.50 494.67 372.00 325.33 44.63 39.83 30.23 29.00 35.31 57.16 46.22 27.34 32.18 73.31 58.93 68.78 646.57 235.34 68.58 91.36 87.99 54.53 78.27 59.18 74.97 50.04 35.32 41.73 52.45 103.26 59.48 84.78 67.98 76.58 57.17 72.41 48.83 40.80 37.29 101.96 64.01 71.24 44.93 63.56 0.02 0.02 0.03 0.03 0.04 0.06 0.03 0.03 0.02 0.18 0.03 0.06 0.11 0.11 0.03 0.06 0.00 0.00 0.02 0.05 0.04 0.06 0.04 0.02 0.27 0.04 0.02 0.03 0.03 0.06 0.05 0.03 0.02 0.03 0.03 0.03 0.05 0.04 0.02 0.01 0.06 0.03 0.04 0.06 0.05 0.08 0.03 0.03 0.06 0.04 0.03 0.14 0.12 0.12 0.03 0.07 0.07 0.06 0.07 0.05 0.03 0.07 0.04 0.04 0.04 0.20 0.06 0.08 0.11 0.09 0.08 0.10 0.10 0.12 0.03 0.10 0.09 0.08 0.07 0.04 0.03 0.04 0.02 0.04 0.05 0.10 0.05 0.01 0.01 0.01 0.03 0.11 0.09 0.11 0.07 0.04 0.04 0.01 0.04 0.06 0.09 0.07 0.03 0.01 0.00 0.12 0.06 0.20 0.08 0.08 0.05 0.05 0.05 0.12 0.05 0.09 0.10 0.09 0.12 0.04 0.04 0.06 0.11 0.10 0.03 0.07 0.10 0.10 0.08 0.10 0.03 0.10 0.12 0.11 0.10 0.09 0.12 0.10 0.11 0.11 0.09 0.09 0.08 0.08 0.08 0.07 0.06 0.12 0.09 0.13 0.08 0.11 0.10 0.15 0.11 0.09 0.11 0.12 0.11 0.08 0.65 0.89 0.62 0.49 0.43 0.44 0.52 0.54 0.64 0.51 0.55 0.72 1.04 0.92 1.76 2.05 2.11 2.13 2.16 2.27 2.34 2.35 2.30 1.91 1.47 1.17 0.97 0.87 0.83 0.80 0.79 0.79 0.81 0.83 0.84 0.84 0.85 0.89 1.02 1.29 1.00 1.80 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 2.00 1.30 1.70 3.40 4.00 4.00 4.00 4.00 4.40 5.00 5.00 4.80 3.70 2.70 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.50 0.00 0.00 0.00 4.00 0.00 0.00 0.00 4.00 10.00 0.00 57.00 2.00 0.00 0.00 5.00 6.00 0.00 0.00 0.00 0.00 0.00 7.00 0.00 0.00 0.00 0.00 0.00 6.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 26.00 0.00 31.00 79 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 6.35 6.48 6.35 6.19 6.08 6.19 6.05 5.88 6.17 6.06 5.80 5.92 5.82 5.97 5.75 6.05 6.09 6.24 6.04 6.14 6.07 6.19 6.25 6.22 6.00 6.14 6.12 6.07 5.94 5.78 5.94 5.96 5.99 6.04 6.08 6.04 5.92 6.07 6.05 6.02 352.67 700.33 716.00 626.00 1080.83 1103.33 838.67 873.00 1085.00 622.17 1594.17 780.83 872.83 814.33 854.33 1520.00 639.50 586.50 469.00 518.50 554.83 416.33 483.83 770.33 884.17 825.80 891.00 1150.67 1368.00 1079.33 802.67 720.67 717.83 456.83 629.00 742.67 822.00 296.33 291.33 591.83 65.18 131.60 123.73 127.87 168.96 182.29 88.78 100.03 137.62 148.72 214.00 110.60 97.86 89.93 99.61 151.17 85.72 67.86 69.09 68.78 64.99 61.98 53.50 82.05 119.08 121.73 114.62 183.20 189.67 148.83 91.94 73.84 164.94 107.51 82.67 84.91 74.48 33.83 39.91 65.88 0.03 0.04 0.08 0.10 0.03 0.03 0.03 0.01 0.05 0.10 0.13 0.09 0.03 0.03 0.27 0.06 0.09 0.13 0.09 0.08 0.03 0.03 0.04 0.04 0.05 0.10 0.12 0.08 0.04 0.05 0.08 0.05 0.12 0.11 0.12 0.02 0.03 0.04 0.05 0.05 0.06 0.07 1.45 0.10 0.06 0.04 0.04 0.07 0.34 0.16 0.41 0.20 0.08 0.12 0.02 0.07 0.17 0.16 0.10 0.28 1.08 0.07 0.08 0.07 0.04 0.14 0.13 0.12 0.11 0.05 0.08 0.09 0.11 0.11 0.14 0.06 0.08 0.06 0.11 0.08 0.08 0.04 0.25 0.08 0.06 0.07 0.06 0.01 0.32 0.18 0.12 0.13 0.06 0.14 0.02 0.03 0.15 0.15 0.05 0.06 0.08 0.05 0.06 0.04 0.06 0.10 0.17 0.11 0.07 0.05 0.05 0.14 0.07 0.10 0.14 0.07 0.06 0.10 0.09 0.07 0.13 0.13 0.13 0.10 0.06 0.09 0.11 0.17 0.13 0.16 0.12 0.17 0.10 0.12 0.10 0.23 0.13 0.14 0.04 0.23 0.11 0.11 0.11 0.14 0.13 0.14 0.19 0.15 0.11 0.08 0.11 0.11 0.13 0.10 0.12 0.11 0.10 0.10 0.11 0.12 1.62 1.87 1.82 1.75 1.55 1.41 1.30 1.08 3.29 4.49 1.93 5.33 3.75 2.84 2.68 4.56 2.55 1.67 1.48 1.62 1.66 1.75 1.63 1.04 0.74 0.70 0.85 0.77 0.67 0.69 0.79 1.31 0.79 0.73 0.84 1.07 1.24 1.56 1.54 1.64 3.00 3.80 4.00 3.20 3.00 3.00 2.60 2.10 6.60 9.50 3.90 11.40 7.60 5.60 5.30 9.60 5.10 3.20 3.00 3.00 3.00 3.00 3.20 2.10 1.30 1.00 2.00 1.50 1.00 1.00 1.50 2.50 1.20 1.50 2.00 2.00 2.30 3.00 3.00 3.20 0.00 0.00 22.00 8.00 0.00 0.00 13.00 3.00 0.00 35.00 0.00 10.00 45.00 3.00 0.00 65.00 0.00 7.00 7.00 0.00 0.00 0.00 28.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 63.00 19.00 0.00 0.00 4.00 0.00 0.00 0.00 20.00 0.00 80 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 6.06 6.03 6.09 5.92 5.95 6.14 6.08 6.13 5.97 6.08 6.16 6.04 6.00 5.95 6.31 6.24 6.06 6.14 6.23 6.32 6.38 6.29 6.22 6.01 6.13 6.15 6.25 6.14 5.96 6.10 6.23 5.80 6.22 6.30 5.73 5.99 5.62 6.31 6.40 6.16 457.50 442.17 891.00 672.50 623.00 890.67 792.17 536.83 618.50 789.50 649.83 866.00 687.50 920.33 721.17 571.00 629.33 622.17 32.14 450.83 397.17 512.33 512.83 622.33 546.50 635.00 682.17 1140.00 758.67 521.00 546.83 737.67 963.50 1220.33 882.67 863.33 793.33 781.83 831.67 969.17 54.22 127.41 95.74 63.39 82.60 99.87 69.37 61.26 135.52 162.64 85.12 63.60 107.39 107.92 78.90 61.79 52.80 51.93 47.02 47.15 46.23 50.34 51.17 60.41 69.48 69.68 74.32 121.36 67.23 50.36 51.95 98.91 133.34 137.78 283.75 145.98 99.05 85.20 200.23 171.39 0.06 0.12 0.10 0.05 0.04 0.03 0.04 0.10 0.05 0.07 0.09 0.00 0.04 0.05 0.07 0.06 0.03 0.04 0.03 0.02 0.01 0.02 0.02 0.04 0.04 0.06 0.03 0.03 0.04 0.05 0.05 0.07 0.06 0.04 0.02 0.08 0.05 0.07 0.06 0.04 0.05 0.07 0.11 0.09 0.10 0.09 0.17 0.19 3.21 0.22 0.12 0.08 0.08 0.11 0.11 0.05 0.07 0.08 0.06 0.07 0.08 0.11 0.11 0.20 0.08 0.07 0.09 0.08 0.07 0.06 0.09 0.18 0.12 0.14 0.14 0.10 0.07 0.19 0.26 0.18 0.04 0.12 0.11 0.09 0.09 0.08 0.08 0.14 0.27 0.16 0.12 0.15 0.10 0.88 0.14 0.07 0.08 0.18 0.06 0.16 0.06 0.07 0.08 0.10 0.06 0.09 0.08 0.07 0.07 0.07 0.11 0.13 0.13 0.11 0.08 0.10 0.05 0.11 0.19 0.10 0.08 0.13 0.12 0.09 0.10 0.12 0.12 0.18 0.16 0.16 0.10 0.12 0.14 0.11 0.16 0.11 0.09 0.08 0.12 0.10 0.11 0.14 0.13 0.13 0.11 0.10 0.10 0.11 0.23 0.13 0.15 0.14 0.16 0.15 0.14 0.14 0.09 0.14 0.17 0.08 1.85 1.07 1.13 1.58 1.66 1.68 1.99 2.16 2.41 4.73 1.99 1.77 2.81 1.80 1.87 1.92 1.94 1.95 1.94 1.94 2.12 2.74 1.82 2.67 1.63 1.63 2.25 2.72 3.18 3.07 2.64 2.55 2.78 3.31 2.80 3.09 2.25 1.91 1.84 1.89 3.90 2.20 2.20 3.00 3.00 3.00 4.00 4.00 4.80 9.90 3.90 3.50 5.70 3.60 4.00 4.00 4.00 4.00 4.00 3.60 4.00 5.70 5.50 4.00 3.00 3.00 4.50 5.40 6.00 6.00 5.20 5.00 5.40 6.90 5.50 6.20 4.40 4.00 3.80 4.00 7.00 0.00 0.00 0.00 0.00 0.00 25.00 0.00 0.00 0.00 0.00 0.00 13.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 7.00 0.00 0.00 0.00 22.00 0.00 0.00 0.00 0.00 0.00 0.00 9.00 0.00 19.00 4.00 17.00 0.00 20.00 0.00 81 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 6.07 5.01 6.05 5.91 6.13 6.22 6.27 5.92 5.99 5.50 5.96 6.06 6.22 6.12 5.98 . . . . . . . . . . . . . . . . . . . . . . . . . 889.50 802.50 590.83 741.33 580.33 739.33 615.17 1774.20 804.00 917.50 1202.67 617.11 807.83 870.50 770.00 . . . . . . . . . . . . . . . . . . . . . . . . . 304.83 126.86 101.91 80.16 52.41 82.47 162.24 312.75 74.62 115.40 125.79 70.94 57.80 69.34 87.24 . . . . . . . . . . . . . . . . . . . . . . . . . 0.04 0.05 0.04 0.05 0.05 0.08 0.06 0.13 0.08 0.04 0.04 0.05 0.03 0.03 0.06 . . . . . . . . . . . . . . . . . . . . . . . . . 0.15 0.08 0.01 0.08 0.09 0.05 0.17 0.53 0.12 0.10 0.08 0.08 0.08 0.08 0.14 . . . . . . . . . . . . . . . . . . . . . . . . . 0.12 0.06 0.04 0.11 0.08 0.06 0.11 0.18 0.16 0.08 0.10 0.08 0.07 0.07 0.10 . . . . . . . . . . . . . . . . . . . . . . . . . 0.07 0.08 0.11 0.11 0.11 0.12 0.12 0.18 0.16 0.14 0.15 0.11 0.12 0.13 0.14 . . . . . . . . . . . . . . . . . . . . . . . . . 1.64 0.89 0.50 0.79 0.86 1.18 1.46 1.63 1.79 1.19 0.68 0.92 1.12 0.82 0.72 1.15 1.42 1.49 1.57 1.73 1.84 1.93 1.92 2.21 1.92 1.77 4.84 4.01 2.48 2.69 2.98 2.85 3.26 2.87 2.74 4.08 3.50 2.93 2.68 2.27 3.00 1.60 1.00 1.70 2.00 2.10 3.00 3.00 3.70 2.40 1.00 1.80 2.20 1.10 1.70 2.10 3.00 3.00 3.00 3.00 3.80 4.00 4.00 4.00 4.00 3.20 10.20 8.30 4.80 5.40 6.00 5.80 6.60 5.90 5.60 8.30 7.10 6.00 5.40 4.50 0.00 0.00 0.00 0.00 24.00 6.00 0.00 30.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 5.00 2.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 62.00 0.00 0.00 10.00 2.00 0.00 23.00 7.00 0.00 48.00 0.00 0.00 4.00 0.00 0.00 0.00 82 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 . . . . . . 6.04 6.37 6.29 6.15 6.30 6.16 6.00 5.90 5.79 5.74 5.57 5.69 5.56 5.58 5.64 5.66 6.06 6.52 6.42 6.39 6.61 6.32 6.12 6.57 6.22 6.28 6.46 6.31 6.44 6.18 6.42 5.76 6.24 6.73 . . . . . . 633.00 565.33 1154.00 1481.00 909.33 831.67 701.50 474.40 671.00 50.66 2642.67 1186.67 1048.17 1209.83 727.17 710.50 587.33 773.83 834.50 600.00 1080.83 1428.83 730.67 1096.00 756.67 555.67 547.17 511.50 708.67 843.50 618.50 850.67 782.17 660.33 . . . . . . 88.28 60.47 119.77 149.67 105.72 79.97 83.99 82.26 81.94 117.36 245.92 105.71 116.02 134.58 85.04 64.47 60.18 89.43 87.23 51.91 101.92 210.92 140.92 117.72 82.33 57.66 54.28 51.58 114.11 99.30 87.59 106.63 100.58 63.72 . . . . . . 0.04 0.04 0.04 0.07 0.09 0.86 0.05 0.03 0.12 0.03 0.04 0.04 0.04 0.04 0.04 0.04 0.07 0.04 0.02 0.02 0.02 0.06 0.02 0.06 0.06 0.05 0.02 0.04 0.07 0.03 0.07 0.09 0.07 0.03 . . . . . . 0.09 0.16 0.13 0.09 0.23 0.07 0.06 0.11 0.29 0.08 0.10 0.08 0.07 0.07 0.18 0.16 0.20 0.10 0.06 0.02 0.04 0.09 0.06 0.15 0.21 0.17 0.09 0.10 0.09 0.05 0.15 0.21 0.18 0.10 . . . . . . 0.10 0.12 0.10 0.14 0.23 0.12 0.05 0.11 0.22 0.09 0.13 0.09 0.09 0.07 0.17 0.13 0.14 0.11 0.07 0.10 0.06 0.02 0.06 0.15 0.19 0.10 0.09 0.12 0.10 0.09 0.12 0.21 0.21 0.10 . . . . . . 0.08 0.11 0.15 0.16 0.21 0.16 0.08 0.15 0.18 0.13 2.45 0.13 0.19 0.10 0.10 0.14 0.15 0.17 0.13 0.12 0.11 0.21 0.11 0.17 0.16 0.15 0.15 0.17 0.17 0.10 0.12 0.14 0.14 0.15 1.93 2.32 2.36 3.17 2.62 3.74 2.01 1.83 4.21 6.34 5.01 2.85 2.10 1.87 1.81 1.90 8.46 5.21 4.08 6.10 3.57 2.21 1.77 2.35 2.76 2.07 3.65 7.04 6.93 7.68 4.28 2.18 1.54 1.24 2.79 2.76 2.39 2.34 1.87 1.77 4.00 4.90 7.60 6.30 5.20 4.90 4.00 4.00 9.10 14.00 10.70 5.60 4.20 3.90 3.60 4.00 20.80 11.40 8.60 13.30 7.30 4.30 3.40 4.70 5.70 4.00 7.60 16.00 15.80 18.20 9.00 4.40 3.00 2.10 5.60 5.50 4.50 4.40 4.00 3.50 0.00 0.00 0.00 0.00 10.00 15.00 4.00 7.00 11.50 0.00 0.00 0.00 7.50 0.00 0.00 43.00 10.00 14.00 0.00 9.00 0.00 0.00 17.00 7.00 13.00 4.00 4.00 4.00 0.00 0.00 0.00 0.00 22.00 0.00 0.00 0.00 0.00 4.00 0.00 10.00 83 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 6.06 6.29 6.63 6.54 6.65 6.45 6.33 6.02 6.01 6.20 6.10 6.46 5.70 5.56 5.53 5.52 5.70 6.00 5.89 6.23 5.88 5.97 6.11 5.89 5.59 5.78 5.94 6.23 6.42 6.05 6.04 5.94 6.14 6.07 6.24 6.59 6.23 6.51 6.56 6.56 1312.67 981.43 1252.33 549.67 449.17 678.00 774.00 1060.67 1791.67 1728.83 1844.67 1523.67 1437.33 1809.00 1776.50 733.60 705.50 474.33 489.50 424.33 715.67 1309.83 873.00 785.83 1392.33 1381.83 768.17 503.33 606.33 999.50 1434.00 650.00 882.00 986.67 469.00 388.00 747.83 1676.33 864.83 515.67 141.33 102.06 99.49 67.24 65.71 93.47 69.14 127.80 177.33 338.58 337.17 307.00 360.33 205.57 168.00 74.10 65.13 62.81 53.14 92.73 212.04 196.67 89.57 79.66 132.42 102.98 62.46 48.05 75.99 144.72 163.32 63.25 108.29 91.31 52.26 55.86 84.03 155.17 90.35 55.38 0.04 0.04 0.04 0.05 0.07 0.03 0.02 0.02 0.02 0.08 0.05 0.15 0.17 0.12 0.06 0.04 0.04 0.04 0.04 0.06 0.12 0.07 0.10 0.03 0.03 0.01 0.06 0.03 0.05 0.08 0.04 0.02 0.01 0.01 0.01 0.03 0.07 0.09 0.08 0.02 0.12 0.10 0.07 0.18 0.15 0.13 0.10 0.14 0.06 0.16 0.23 0.39 0.28 0.23 0.08 0.05 0.12 0.13 0.10 0.21 0.45 0.19 0.21 0.11 0.08 0.05 0.14 0.16 0.13 0.08 0.09 0.11 0.11 0.08 0.07 0.13 0.12 0.27 0.16 0.09 0.06 0.11 0.10 0.13 0.14 0.10 0.09 0.11 0.07 0.16 0.21 0.33 0.26 0.15 0.07 0.08 0.06 0.13 0.11 0.09 0.37 0.32 0.22 0.08 0.11 0.11 0.10 0.12 0.11 0.06 0.15 0.06 0.11 0.08 0.07 0.10 0.16 0.14 0.13 0.09 0.17 0.19 0.17 0.14 0.09 0.13 0.12 0.13 0.14 0.15 0.24 0.36 0.20 0.20 0.15 0.17 0.14 0.14 0.10 0.05 0.26 0.18 0.14 0.17 0.19 0.12 0.07 0.11 0.14 0.15 0.19 0.09 0.13 0.14 0.14 0.05 0.14 0.18 0.14 0.13 0.95 1.23 1.28 1.69 1.61 1.63 2.02 2.70 1.22 4.42 26.91 38.92 98.94 132.02 147.38 120.72 64.69 24.40 10.16 6.78 22.30 36.98 42.53 29.03 19.40 7.65 17.30 4.36 2.95 7.17 7.94 5.29 4.60 7.72 5.58 2.40 2.92 6.05 5.80 2.54 2.00 2.20 2.60 3.40 3.40 3.20 4.00 3.90 2.30 9.80 106.30 173.30 610.30 863.50 963.40 780.30 346.80 91.70 27.20 17.00 80.10 159.60 192.20 115.30 66.30 57.10 18.30 9.00 5.90 17.10 18.90 11.40 9.70 19.00 12.50 4.70 5.90 13.50 12.60 5.00 0.00 0.00 0.00 0.00 0.00 0.00 14.00 3.00 14.00 0.00 110.00 0.00 36.00 0.00 0.00 0.00 0.00 0.00 47.00 37.00 3.00 7.00 6.00 0.00 0.00 0.00 0.00 0.00 23.00 24.00 23.00 22.00 0.00 0.00 11.00 24.50 0.00 0.00 0.00 0.00 84 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 6.54 6.43 6.64 6.42 6.21 6.31 7.02 6.20 6.39 6.77 6.19 6.26 6.28 6.03 5.98 5.90 6.20 6.61 6.33 6.38 6.15 6.21 6.14 6.28 6.16 6.04 6.13 6.09 6.14 6.08 6.41 . . . . . . . . . 466.00 530.67 617.50 1272.50 1700.83 1874.50 1667.17 1172.33 995.33 468.50 575.00 660.83 892.67 2028.17 955.00 680.17 747.83 474.33 385.62 571.50 439.80 456.83 893.00 763.67 710.17 843.00 872.00 2076.17 756.40 774.00 730.17 . . . . . . . . . 53.68 54.34 64.98 171.82 265.08 246.33 141.33 124.97 109.40 144.88 148.40 137.46 121.87 251.31 69.91 56.47 66.69 75.88 76.14 61.33 48.21 43.93 80.30 92.42 252.92 153.61 187.82 307.83 175.24 75.74 72.90 . . . . . . . . . 0.02 0.27 0.03 0.07 0.08 0.08 0.03 0.04 0.03 0.07 0.08 0.06 0.13 0.03 0.04 0.02 0.01 0.03 0.06 0.05 0.07 0.02 0.04 0.02 0.05 0.05 0.12 0.12 0.07 0.03 0.02 . . . . . . . . . 0.07 0.15 0.11 0.21 0.13 0.15 0.12 0.12 0.10 0.21 0.30 0.11 0.10 0.05 0.06 0.05 0.06 0.13 0.13 0.16 0.19 0.09 0.11 0.08 0.11 0.12 0.36 0.17 0.12 0.11 0.10 . . . . . . . . . 0.09 0.10 0.10 0.16 0.12 0.12 0.07 0.14 0.11 0.15 0.24 0.12 0.15 0.09 0.06 0.06 0.04 0.10 0.14 0.19 0.14 0.08 0.14 0.21 0.05 0.10 0.30 0.20 0.12 0.10 0.06 . . . . . . . . . 0.13 0.13 0.16 0.17 0.13 0.13 0.10 0.16 0.16 0.08 0.10 0.13 0.17 0.12 0.10 0.13 0.08 0.06 0.09 0.16 0.11 0.12 0.12 0.12 0.07 0.06 0.18 0.17 0.10 0.16 0.13 . . . . . . . . . 1.81 1.52 1.51 4.19 14.01 14.48 10.17 9.75 13.08 34.68 50.84 41.39 27.58 35.95 13.64 3.73 5.76 3.74 2.99 2.20 1.73 1.49 1.54 1.58 3.77 6.90 4.58 25.49 30.36 8.05 3.34 2.30 1.34 3.48 2.59 1.31 0.89 1.14 7.04 3.51 3.60 3.00 3.00 9.30 42.80 44.90 26.90 25.20 38.90 147.10 245.30 186.20 109.20 154.30 41.70 12.40 7.60 7.50 6.00 4.20 3.40 2.80 3.00 3.00 8.00 16.10 10.10 98.00 122.90 20.70 6.80 4.50 2.60 7.20 5.20 2.50 2.00 2.50 16.40 7.10 0.00 10.00 35.00 0.00 0.00 20.00 21.50 31.00 21.00 0.00 0.00 0.00 8.00 0.00 0.00 4.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 27.00 12.00 0.00 63.00 0.00 4.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 33.00 7.00 7.50 0.00 85 358 359 360 361 362 363 364 365 . . . . . . . 6.01 . . . . . . . 520.33 . . . . . . . 55.05 . . . . . . . 0.03 . . . . . . . 0.04 . . . . . . . 0.06 . . . . . . . 0.03 2.14 5.16 4.92 1.93 1.04 1.38 1.99 1.70 4.20 11.20 10.50 3.90 2.00 2.70 3.00 ? 58.00 0.00 0.00 0.00 0.00 4.00 1.00 12.00 86 APPENDIX B3 – Daily Water Quality and Hydrological Data for Year 2006 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 PH 6.35 6.44 6.30 6.20 6.18 6.15 6.34 5.99 5.79 5.87 6.24 5.80 5.72 5.89 5.78 5.67 5.88 5.88 6.14 5.39 6.10 6.30 5.89 6.00 6.18 6.40 6.52 6.33 6.13 6.41 5.98 6.15 6.08 5.54 5.91 5.92 6.40 6.08 6.36 6.27 6.16 5.98 Colour 1146.00 549.50 506.33 480.00 441.00 935.50 952.17 1474.00 1387.00 2348.50 1647.00 1065.83 1089.33 811.17 623.33 588.67 498.67 18.71 412.00 466.00 883.67 530.50 411.50 207.00 275.00 142.67 278.17 155.50 244.17 286.67 306.33 223.05 240.33 265.50 395.00 569.83 389.17 166.17 304.50 282.83 705.33 738.17 Turb 123.72 61.80 50.70 51.01 55.75 100.86 304.55 497.33 361.08 288.33 170.67 99.77 100.27 95.08 60.31 56.17 46.70 45.13 44.28 52.36 106.16 114.73 51.57 42.97 25.52 26.01 32.79 29.48 39.33 44.28 34.15 28.40 25.10 21.88 32.81 48.03 46.75 47.24 35.97 29.45 83.80 87.28 Al 0.04 0.04 0.03 0.03 0.03 0.02 0.03 0.23 0.26 0.16 0.07 0.15 0.04 0.04 0.04 0.03 0.07 0.07 0.03 0.03 0.04 0.03 0.03 0.04 0.04 0.03 0.04 0.02 0.01 0.01 0.02 0.02 0.02 0.02 0.01 0.03 0.02 0.01 0.02 0.03 0.05 0.09 Fe 0.11 0.17 0.10 0.07 0.10 0.14 0.15 0.62 0.61 0.43 0.07 0.27 0.08 0.12 0.14 0.11 0.14 0.15 0.18 0.11 0.06 0.06 0.08 0.06 0.08 0.03 0.06 0.03 0.09 0.04 0.06 0.09 0.05 0.03 0.05 0.05 0.04 0.04 0.08 0.06 0.15 0.18 NH4 0.16 0.25 0.13 0.12 0.08 0.13 0.10 0.49 0.49 0.35 0.07 0.33 0.09 0.04 0.11 0.12 0.14 0.19 0.18 0.08 0.09 0.07 0.09 0.05 0.09 0.03 0.06 0.03 0.08 0.04 0.06 0.08 0.04 0.09 0.11 0.11 0.06 0.04 0.10 0.07 0.16 0.15 Mn 0.15 0.11 0.07 0.08 0.12 0.15 0.13 0.29 0.31 0.25 0.06 0.23 0.13 0.13 0.11 0.16 0.07 0.09 0.13 0.12 0.14 0.10 0.06 0.04 0.09 0.05 0.09 0.05 0.09 0.08 0.02 0.08 0.07 0.04 0.05 0.08 0.07 0.07 0.11 0.07 0.07 0.10 Flow 16.17 15.13 16.31 17.85 16.86 14.85 27.04 59.81 177.01 245.46 236.59 203.13 175.98 153.94 124.92 92.82 68.38 53.93 46.88 44.07 48.20 45.01 40.32 35.80 32.57 29.60 27.68 25.80 22.83 23.11 24.30 23.23 23.55 23.87 23.71 22.21 21.50 21.50 20.39 19.82 22.26 25.33 SS ? 22.20 32.70 46.60 37.60 19.90 156.80 541.60 1882.90 2619.00 2528.10 2179.40 1888.50 1646.60 1317.70 942.10 647.10 469.40 381.10 350.40 397.30 360.50 321.80 301.00 236.60 174.10 151.60 130.60 14.00 101.00 98.10 102.30 105.70 109.30 107.70 91.20 83.40 83.50 71.90 65.80 91.70 125.50 Rainfall 3.00 0.00 10.00 0.00 19.00 0.00 60.00 50.00 80.00 100.00 33.00 0.00 0.00 0.00 0.00 8.00 0.00 0.00 0.00 0.00 34.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 31.00 0.00 0.00 0.00 0.00 24.00 0.00 0.00 15.00 6.50 0.00 0.00 87 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 5.82 5.63 6.19 6.41 6.08 6.05 6.48 6.49 6.14 5.62 6.09 5.90 6.02 6.33 6.17 5.89 5.88 6.00 6.20 6.09 6.09 6.32 6.39 6.36 6.53 6.36 6.50 6.64 6.44 6.40 6.25 6.16 6.41 6.34 6.45 6.24 6.24 6.23 6.14 6.32 6.57 6.28 6.40 6.40 6.23 442.83 629.33 822.67 946.00 361.83 307.50 360.83 344.33 351.17 233.83 187.58 335.50 391.50 377.83 587.33 411.67 404.50 292.40 447.33 358.33 302.33 387.67 370.67 343.33 377.83 287.50 248.50 293.67 278.17 317.00 288.00 285.67 321.67 322.33 266.50 392.83 564.83 713.00 773.00 618.50 903.83 561.00 413.83 272.33 356.33 39.39 59.85 85.71 198.55 49.48 30.70 32.27 45.37 37.63 60.84 55.21 47.91 33.77 33.88 60.06 46.23 56.64 38.69 43.04 32.84 33.77 41.96 41.28 38.71 40.45 34.84 28.83 28.83 29.64 33.73 33.14 32.34 33.61 26.75 31.84 34.60 55.71 70.58 85.72 67.29 73.52 49.70 39.93 31.83 34.75 0.01 0.03 0.05 0.04 0.03 0.02 0.02 0.01 0.00 0.01 0.02 0.02 0.02 0.01 0.01 0.01 0.01 0.01 0.02 0.01 0.04 0.02 0.04 0.01 0.01 0.01 0.03 0.04 0.03 0.01 0.02 0.01 0.01 0.04 0.02 0.03 0.02 0.02 0.02 0.02 0.02 0.03 0.05 0.02 0.02 0.10 0.06 0.09 0.10 0.09 0.07 0.07 0.05 0.06 0.07 0.04 0.07 0.09 0.08 0.05 0.05 0.05 0.04 0.08 0.05 0.09 0.05 0.03 0.09 0.07 0.07 0.11 0.09 0.05 0.04 0.09 0.02 0.10 0.10 0.15 0.10 0.05 0.07 0.08 0.10 0.08 0.07 0.14 0.04 0.12 0.07 0.07 0.11 0.14 0.11 0.05 0.08 0.06 0.12 0.07 0.04 0.06 0.18 0.10 0.08 0.07 0.07 0.09 0.10 0.06 0.13 0.07 0.05 0.08 0.06 0.08 0.21 0.18 0.09 0.05 0.08 0.08 0.09 0.10 0.19 0.12 0.13 0.07 0.09 0.16 0.12 0.11 0.07 0.19 0.17 0.08 0.17 0.10 0.13 0.09 0.05 0.10 0.10 0.09 0.04 0.04 0.04 0.13 0.12 0.10 0.11 0.08 0.09 0.09 0.02 0.00 0.00 0.00 0.01 0.08 0.06 0.09 0.09 0.03 0.07 0.09 0.02 0.05 0.11 0.10 0.09 0.12 0.13 0.08 0.07 0.10 0.11 0.10 0.09 0.14 23.75 21.67 25.17 26.94 21.59 19.64 18.71 18.16 17.87 17.74 17.77 17.51 17.51 18.70 28.73 35.30 35.21 30.17 26.86 25.32 24.36 22.24 19.41 19.90 20.81 21.71 23.44 27.55 28.90 28.70 26.05 23.03 21.71 20.91 23.53 23.88 19.55 20.91 26.23 27.67 28.21 29.25 29.93 25.76 23.73 108.00 85.40 124.00 143.60 84.60 64.20 54.80 49.60 46.50 45.40 45.70 43.40 43.40 55.20 164.30 266.10 296.20 182.10 142.40 125.30 114.70 91.70 62.00 67.40 76.90 86.50 104.90 150.30 165.70 163.40 133.60 100.00 86.10 77.30 105.40 109.50 63.40 77.80 135.30 151.90 158.00 170.10 177.90 130.40 107.90 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 72.00 0.00 20.00 4.50 2.00 0.00 0.00 0.00 7.00 18.00 22.00 88 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 6.57 6.47 6.46 6.35 6.49 6.66 6.42 6.37 6.37 6.45 6.67 6.55 6.38 6.47 6.53 6.36 6.33 6.35 6.34 6.36 6.46 6.28 6.36 6.12 6.40 6.37 6.57 6.25 6.15 6.22 6.47 6.42 6.38 6.20 6.33 6.16 5.88 6.13 6.03 5.99 5.96 6.18 6.04 6.43 6.16 338.33 828.17 1060.83 785.50 784.33 554.33 788.17 831.24 1085.80 809.00 1109.33 1353.00 1395.83 1461.83 1055.00 749.40 608.67 662.67 1016.67 788.80 846.67 672.33 615.67 960.33 937.00 1097.20 1216.67 1739.60 1073.50 871.00 1065.00 1677.00 1314.83 1248.17 1206.33 897.50 908.00 722.67 1901.00 992.83 849.50 883.67 785.67 1232.00 841.50 36.69 96.42 99.33 81.54 75.92 67.97 101.06 101.20 112.73 138.80 184.73 188.83 130.27 161.48 142.89 68.60 61.16 79.43 127.05 110.49 91.73 66.07 61.79 102.89 87.72 223.66 151.83 227.90 149.50 114.66 125.45 166.52 154.92 115.27 204.25 164.67 117.02 108.07 212.83 136.34 69.93 113.83 110.56 148.42 128.31 0.02 0.03 0.02 0.02 0.03 0.03 0.07 0.03 0.03 0.01 0.04 0.03 0.04 0.07 0.11 0.02 0.02 0.04 0.01 0.02 0.06 0.04 0.03 0.04 0.04 0.08 0.03 0.03 0.07 0.07 0.04 0.05 0.02 0.03 0.02 0.10 0.11 0.06 0.09 0.02 0.02 0.02 0.02 0.09 0.09 0.08 0.14 0.12 0.07 0.11 0.10 0.24 0.09 0.10 0.14 0.10 0.14 0.07 0.25 0.45 0.06 0.13 0.21 0.11 0.07 0.29 0.23 0.07 0.28 0.12 0.23 0.12 0.08 0.27 0.25 0.14 0.07 0.05 0.13 0.06 0.32 0.36 0.19 0.24 0.05 0.02 0.03 0.05 0.32 0.35 0.08 0.16 0.07 0.07 0.12 0.14 0.25 0.09 0.09 0.12 0.14 0.23 0.08 0.21 0.69 0.00 0.31 0.20 0.19 0.12 0.46 0.41 0.10 0.30 0.13 0.27 0.21 0.06 0.38 0.46 0.23 0.07 0.06 0.15 0.10 0.25 0.42 0.26 0.27 0.05 0.08 0.16 0.16 0.28 0.25 0.08 0.07 0.13 0.13 0.12 0.11 0.14 0.13 0.08 0.14 0.15 0.12 0.11 0.22 0.36 0.06 0.09 0.10 0.13 0.19 0.18 0.15 0.10 0.20 0.13 0.13 0.20 0.11 0.23 0.25 0.12 0.15 0.10 0.12 0.13 0.25 0.23 0.06 0.00 0.00 0.00 0.05 0.06 0.00 0.00 27.40 27.52 29.86 27.59 24.17 ? 18.92 16.45 14.82 18.05 31.53 42.76 27.33 34.72 34.44 17.84 23.58 17.53 21.23 19.61 17.91 15.57 14.71 15.47 19.28 25.34 23.45 33.15 29.95 23.62 22.30 26.74 24.80 26.16 31.40 37.44 41.84 38.15 33.93 31.90 24.99 21.05 18.97 21.39 22.23 148.50 149.80 177.10 150.90 112.50 ? 57.00 34.10 19.70 50.00 206.90 340.00 158.40 262.70 276.50 106.60 46.60 43.60 80.70 63.80 47.60 26.20 18.90 25.70 60.40 125.80 104.90 216.20 178.50 106.50 92.30 119.50 141.20 134.60 195.30 294.90 331.60 311.50 296.80 225.20 121.90 78.90 57.40 82.50 91.60 0.00 40.00 0.00 8.00 9.00 8.50 0.00 4.50 6.50 5.50 5.00 13.00 30.00 0.00 0.00 3.50 0.00 7.00 0.00 0.00 0.00 3.00 0.00 18.00 11.00 35.00 34.00 9.00 0.00 10.00 0.00 6.50 4.00 0.00 0.00 45.00 6.00 0.00 0.00 0.00 0.00 44.00 0.00 2.00 0.00 89 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 6.14 6.17 6.40 6.72 6.33 6.46 6.42 6.39 6.30 6.28 6.49 6.46 6.21 6.28 6.33 6.17 6.42 6.39 6.43 6.36 6.40 6.40 6.36 6.29 6.27 6.33 6.29 6.44 6.39 6.14 6.25 6.26 6.21 6.20 6.31 6.46 6.40 6.20 6.48 6.37 6.30 6.39 6.40 6.52 6.52 1808.83 967.33 1129.00 1234.67 906.67 1003.67 915.83 1335.83 2032.83 1301.67 952.50 803.50 1009.67 973.17 2579.67 1547.17 1670.00 1106.83 1155.67 784.86 794.86 684.71 653.43 747.14 629.71 1547.71 1296.86 1335.29 1767.71 991.86 731.71 666.43 636.57 659.86 586.71 483.29 574.57 966.71 604.29 842.71 946.29 1103.43 782.29 893.86 893.86 180.00 118.82 111.86 137.10 115.72 101.88 113.23 149.03 207.67 135.21 120.25 123.59 122.58 146.65 315.50 268.58 214.83 118.34 110.24 72.22 107.51 84.87 74.36 91.83 95.12 199.08 165.83 201.17 228.17 173.00 95.56 68.72 76.16 95.68 81.64 88.84 80.97 104.78 81.23 101.60 95.56 203.00 117.73 102.63 112.28 0.08 0.05 0.01 0.03 0.03 0.03 0.08 0.10 0.08 0.02 0.03 0.03 0.04 0.02 0.16 0.10 0.12 0.04 0.02 0.03 0.01 0.04 0.03 0.04 0.04 0.03 0.03 0.05 0.04 0.08 0.09 0.05 0.01 0.03 0.03 0.01 0.04 0.04 0.03 0.03 0.01 0.06 0.04 0.05 0.05 0.24 0.29 0.17 0.24 0.13 0.07 0.36 0.43 0.15 0.19 0.17 0.12 0.08 0.09 0.43 0.41 0.18 0.06 0.12 0.05 0.09 0.14 0.09 0.15 0.15 0.12 0.13 0.16 0.07 0.15 0.23 0.13 0.07 0.07 0.15 0.07 0.13 0.30 0.13 0.08 0.12 0.16 0.16 0.08 0.13 0.05 0.09 0.14 0.20 0.11 0.21 0.26 0.34 0.16 0.20 0.15 0.11 0.13 0.12 0.37 0.34 0.20 0.08 0.21 0.08 0.07 0.10 0.06 0.22 0.12 0.21 0.11 0.18 0.06 0.11 0.09 0.11 0.13 0.08 0.18 0.09 0.12 0.22 0.11 0.05 0.06 0.16 0.25 0.11 0.14 0.01 0.02 0.14 0.16 0.10 0.05 0.20 0.26 0.08 0.14 0.13 0.10 0.06 0.08 0.24 0.38 0.15 0.11 0.18 0.09 0.08 0.14 0.08 0.11 0.12 0.13 0.09 0.14 0.10 0.10 0.09 0.10 0.08 0.06 0.13 0.11 0.13 0.23 0.10 0.17 0.12 0.15 0.13 0.10 0.11 22.13 19.22 18.82 18.78 16.63 16.40 16.92 18.31 24.66 22.75 18.01 16.27 15.64 17.22 27.51 36.15 22.54 28.16 36.95 20.55 19.77 18.05 18.36 17.78 18.25 23.69 23.17 27.11 34.10 40.71 43.11 37.07 28.48 25.40 22.73 20.71 19.21 19.01 19.61 20.24 18.44 22.80 21.31 18.54 17.18 90.60 59.70 56.00 55.40 35.60 33.50 38.20 51.00 118.10 97.20 48.20 32.40 26.90 41.30 150.30 293.20 304.10 165.00 94.80 73.50 65.30 48.50 51.70 45.90 50.60 107.50 101.60 145.90 240.60 324.60 342.10 304.50 161.20 126.00 97.00 75.20 59.70 57.70 63.70 70.10 52.10 97.70 81.60 53.30 40.60 2.00 0.00 2.00 0.00 0.00 14.00 3.00 0.00 0.00 0.00 0.00 36.00 4.00 15.00 0.00 0.00 0.00 3.00 0.00 0.00 0.00 0.00 0.00 22.00 0.00 13.00 7.50 0.00 33.00 12.00 0.00 0.00 0.00 12.00 0.00 6.00 14.50 11.50 7.00 4.50 0.00 0.00 4.00 0.00 0.00 90 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 6.59 6.48 6.37 6.47 6.23 6.41 6.52 6.39 6.28 6.49 6.45 6.38 6.33 6.41 6.32 6.52 6.36 6.38 6.46 6.44 6.57 6.56 6.60 6.04 6.51 6.37 6.45 6.45 6.51 6.35 6.31 6.40 6.36 6.34 6.43 . . . . . . . . . . 507.86 1858.29 646.00 980.14 981.67 1035.17 889.33 873.00 724.67 1241.33 1261.00 856.33 1670.83 1742.17 1233.33 833.50 1143.00 727.67 996.17 1366.67 1597.67 1043.67 1488.50 1286.67 913.50 2430.33 1677.33 799.83 743.83 1031.67 930.17 669.67 1025.67 2024.83 2076.17 . . . . . . . . . . 0.05 114.43 84.37 143.33 99.99 98.12 161.15 85.02 104.66 130.43 122.57 85.72 173.25 202.92 144.58 122.18 129.54 75.74 112.26 128.50 149.28 100.64 185.90 116.45 106.49 278.33 175.83 75.93 82.07 123.79 117.35 77.41 123.80 186.92 245.00 . . . . . . . . . . 0.05 0.04 0.05 0.02 0.02 0.02 0.02 0.05 0.08 0.05 0.02 0.03 0.02 0.08 0.05 0.09 0.07 0.02 0.02 0.03 0.03 0.03 0.05 0.06 0.04 0.08 0.10 0.04 0.03 0.04 0.04 0.08 0.04 0.04 0.05 . . . . . . . . . . 0.18 0.14 0.09 0.17 0.08 0.07 0.06 0.15 0.30 0.21 0.17 0.09 0.07 0.20 0.17 0.43 0.31 0.05 0.08 0.14 0.10 0.10 0.18 0.25 0.06 0.13 0.28 0.10 0.15 0.12 0.19 0.22 0.13 0.11 0.13 . . . . . . . . . . 0.14 0.11 0.11 0.17 0.10 0.06 0.07 0.13 0.21 0.15 0.22 0.19 0.07 0.20 0.16 0.38 0.27 0.09 0.12 0.10 0.13 0.10 0.21 0.20 0.11 0.21 0.21 0.13 0.21 0.12 0.20 0.20 0.13 0.11 0.13 . . . . . . . . . . 0.09 0.08 0.12 0.08 0.08 0.07 0.09 0.09 0.15 0.16 0.03 0.09 0.12 0.16 0.21 0.23 0.17 0.13 0.09 0.09 0.13 0.12 0.23 0.08 0.12 0.13 0.13 0.12 0.17 0.16 0.18 0.18 0.21 0.20 0.16 . . . . . . . . . . 15.76 14.87 18.13 14.20 20.85 20.11 17.12 14.69 13.18 12.61 18.13 21.70 26.61 31.78 29.98 23.99 22.22 18.23 15.80 15.37 15.11 14.70 16.61 17.36 14.91 18.53 23.68 18.09 15.23 14.82 18.17 22.12 23.38 19.76 22.34 23.44 24.08 19.28 16.62 15.52 14.24 13.70 15.51 22.81 23.63 27.90 20.20 14.70 49.90 76.40 68.90 40.00 18.80 8.10 5.30 50.20 85.70 139.70 199.50 178.50 110.60 91.40 50.50 28.30 24.40 22.10 18.60 36.00 42.30 20.60 54.60 107.20 49.20 23.30 19.80 49.90 90.30 103.90 92.60 65.40 104.80 111.70 60.80 35.60 25.80 15.20 11.10 26.50 97.80 106.70 0.00 36.00 0.00 0.00 0.00 4.00 0.00 0.00 0.00 4.00 0.00 4.00 22.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 19.00 0.00 0.00 56.00 0.00 0.00 0.00 0.00 0.00 43.00 0.00 7.00 0.00 17.00 10.00 0.00 0.00 0.00 0.00 0.00 14.50 0.00 0.00 0.00 14.00 91 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 . . . . . . . . . . . . . . . . . . . . . 6.35 6.47 6.50 6.57 6.43 6.28 6.25 6.33 6.34 6.52 6.27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 707.67 588.00 607.00 556.17 881.00 2002.50 1296.33 875.33 1304.67 882.83 943.17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78.28 64.67 56.31 59.90 98.92 202.34 111.88 143.83 228.08 190.35 137.76 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.06 0.01 0.03 0.03 0.04 0.11 0.06 0.02 0.06 0.06 0.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.14 0.10 0.10 0.16 0.10 0.11 0.23 0.14 0.25 0.15 0.34 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.13 0.18 0.19 0.19 0.12 0.10 0.32 0.28 0.21 0.28 0.29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.11 0.12 0.12 0.12 0.19 0.22 0.25 0.13 0.26 0.17 0.15 . . . . . . . . . . . . . 20.56 22.14 23.59 22.17 29.67 39.30 33.81 21.80 17.84 16.52 16.47 17.79 20.30 19.39 16.85 14.60 17.35 19.29 17.25 13.44 13.56 13.49 13.00 13.03 13.10 16.74 28.24 31.28 30.89 41.39 36.00 29.05 31.79 37.04 42.66 48.55 79.72 88.24 72.80 48.17 31.33 24.13 21.15 20.04 20.78 73.60 90.60 106.20 90.90 175.10 315.20 249.10 87.10 46.70 34.50 34.20 46.20 70.90 61.60 37.70 18.00 42.10 60.60 41.30 10.70 9.70 10.00 7.10 7.40 7.50 39.20 158.60 193.70 192.30 329.50 298.70 168.40 200.10 292.80 338.20 406.80 784.80 887.70 692.40 404.50 214.40 112.10 80.00 68.10 75.90 0.00 14.00 60.00 24.00 0.00 0.00 5.00 0.00 2.50 1.00 0.00 7.00 0.00 0.00 0.00 0.00 4.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 1.00 10.00 32.50 24.00 0.00 23.00 0.00 3.00 5.00 44.00 25.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 92 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 . . . . . . . . . 6.21 6.36 6.71 6.59 6.48 6.51 6.45 6.41 6.35 6.56 6.60 6.43 6.60 6.21 6.72 6.55 6.65 6.66 6.42 6.58 6.18 6.13 6.37 6.49 6.48 6.86 6.21 6.01 6.45 6.23 6.30 6.03 6.02 6.02 6.00 6.24 . . . . . . . . . 577.17 556.17 461.40 424.83 377.50 298.50 241.33 347.67 370.33 478.67 506.17 937.33 874.50 613.33 506.83 483.50 421.83 393.50 512.00 518.33 1347.17 798.33 609.00 443.50 749.50 784.00 2140.80 2342.67 1396.50 1251.50 1120.50 1564.00 1385.00 926.00 906.50 1443.33 . . . . . . . . . 78.16 60.30 44.25 38.81 32.36 22.78 33.78 46.13 36.67 48.09 52.03 93.95 90.12 76.34 53.78 49.74 46.79 40.40 54.81 53.13 207.83 72.40 56.03 66.93 108.75 104.40 261.75 291.17 185.08 138.00 122.52 163.58 151.75 92.57 110.98 152.17 . . . . . . . . . 0.05 0.06 0.05 0.04 0.03 0.02 0.02 0.01 0.01 0.03 0.01 0.04 0.04 0.02 0.02 0.02 0.04 0.04 0.06 0.01 0.05 0.04 0.02 0.03 0.05 0.02 0.15 0.06 0.04 0.03 0.03 0.05 0.06 0.07 0.04 0.03 . . . . . . . . . 0.21 0.23 0.09 0.09 0.13 0.11 0.07 0.08 0.12 0.13 0.05 0.10 0.11 0.10 0.08 0.11 0.07 0.06 0.09 0.10 0.15 0.10 0.09 0.15 0.17 0.13 0.25 0.27 0.12 0.11 0.10 0.10 0.08 0.09 0.08 0.13 . . . . . . . . . 0.20 0.26 0.12 0.10 0.12 0.08 0.08 0.10 0.18 0.10 0.08 0.15 0.13 0.10 0.10 0.12 0.12 0.08 0.11 0.17 0.16 0.15 0.10 0.14 0.14 0.13 0.21 0.21 0.11 0.17 0.09 0.15 0.19 0.12 0.12 0.12 . . . . . . . . . 0.12 0.18 0.17 0.13 0.07 0.07 0.11 0.11 0.11 0.12 0.11 0.13 0.13 0.10 0.14 0.13 0.11 0.09 0.14 0.10 0.13 0.12 0.09 0.10 0.16 0.13 0.34 0.21 0.18 0.21 0.19 0.19 0.20 0.15 0.14 0.13 17.11 15.91 16.05 18.14 17.70 19.76 16.43 14.20 14.32 19.02 25.11 28.57 27.86 25.63 24.33 24.91 24.71 20.92 16.09 15.68 16.43 19.71 25.56 25.77 25.51 22.95 21.26 21.69 23.33 24.28 20.24 16.03 15.28 16.30 14.43 45.77 28.07 54.39 51.39 41.42 37.70 44.67 46.89 44.18 44.92 39.80 29.40 30.50 49.40 65.30 45.30 33.70 15.00 16.20 58.50 123.20 162.00 153.80 128.70 114.40 120.90 118.50 77.80 30.90 27.10 33.80 66.40 128.00 130.20 127.20 99.30 81.00 85.70 103.60 113.90 70.50 30.20 23.70 32.60 16.60 167.30 372.70 474.90 438.00 333.60 307.30 358.30 380.90 351.80 361.00 0.00 18.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 9.00 0.00 0.00 0.00 0.00 0.00 2.00 1.00 0.00 0.00 1.50 0.00 25.00 0.00 0.00 0.00 1.50 1.50 37.00 50.50 0.00 28.00 32.50 0.00 27.00 54.00 45.00 5.00 5.00 15.00 0.00 93 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 6.24 6.10 6.35 6.11 6.39 6.60 6.22 6.02 6.31 6.25 6.78 6.52 6.05 6.09 6.51 6.23 5.76 6.36 7.01 6.28 6.43 6.20 5.92 5.28 6.52 6.42 6.43 6.33 6.14 5.98 5.96 6.13 6.49 6.34 6.48 6.17 6.21 6.41 6.46 6.29 6.13 6.29 6.32 6.35 6.00 898.50 812.17 641.33 579.00 1240.50 997.83 1092.83 2119.50 781.50 453.00 667.83 969.00 2656.67 1743.83 1239.17 708.17 841.92 700.25 430.67 437.75 812.00 534.58 889.17 877.33 598.00 476.00 424.00 998.00 953.50 644.50 1062.33 1414.83 911.33 984.00 1410.00 2325.50 1474.00 915.50 1703.67 2196.83 3673.50 1704.33 2243.83 2189.17 1249.50 105.76 121.65 68.93 83.91 123.36 105.96 152.41 191.31 83.48 55.43 114.33 203.53 411.33 204.33 132.43 155.42 151.42 147.33 100.95 93.08 163.25 117.67 95.92 80.13 58.73 50.51 117.91 92.64 92.64 70.21 155.89 148.50 100.80 137.01 166.00 311.58 141.08 83.18 193.47 293.92 412.42 346.00 267.25 215.00 124.83 0.05 0.03 0.07 0.04 0.07 0.05 0.03 0.06 0.05 0.01 0.06 0.09 0.08 0.06 0.07 0.03 0.05 0.06 0.06 0.07 0.07 0.05 0.06 0.02 0.03 0.04 0.04 0.02 0.04 0.03 0.07 0.03 0.04 0.09 0.06 0.11 0.08 0.03 0.05 0.04 0.06 0.06 0.07 0.09 0.05 0.09 0.05 0.13 0.08 0.09 0.11 0.14 0.15 0.17 0.07 0.14 0.30 0.16 0.12 0.17 0.09 0.11 0.12 0.18 0.08 0.11 0.13 0.15 0.10 0.09 0.11 0.13 0.09 0.11 0.17 0.19 0.09 0.11 0.17 0.20 0.39 0.28 0.10 0.18 0.12 0.17 0.26 0.11 0.13 0.14 0.13 0.12 0.14 0.20 0.16 0.13 0.14 0.15 0.17 0.15 0.10 0.19 0.18 0.11 0.17 0.06 0.07 0.07 0.07 0.05 0.05 0.07 0.14 0.09 0.11 0.09 0.11 0.13 0.09 0.13 0.13 0.11 0.12 0.15 0.18 0.43 0.23 0.12 0.18 0.11 0.13 0.09 0.12 0.09 0.17 0.16 0.12 0.12 0.09 0.18 0.14 0.14 0.15 0.16 0.12 0.09 0.32 0.27 0.20 0.13 0.05 0.07 0.10 0.06 0.07 0.09 0.10 0.22 0.17 0.10 0.09 0.09 0.15 0.15 0.10 0.16 0.18 0.11 0.12 0.21 0.34 0.36 0.21 0.23 0.17 0.26 0.27 0.31 0.23 0.19 51.14 52.56 42.41 37.42 36.20 33.01 ? ? ? ? ? ? 64.63 73.51 71.54 71.80 74.29 78.04 78.86 71.46 66.72 69.77 68.93 61.81 54.43 44.44 36.98 33.60 34.47 35.08 35.22 35.40 39.25 38.96 38.89 40.90 42.72 36.39 36.10 65.60 145.15 321.17 365.62 327.00 288.71 434.90 452.50 338.60 306.00 301.50 253.90 ? ? ? ? ? ? 601.20 709.90 686.00 689.00 719.30 764.80 774.80 684.80 626.90 664.20 654.00 566.40 475.50 357.00 305.10 296.70 297.50 298.70 299.00 299.50 315.10 312.90 313.20 324.90 338.80 302.10 258.60 612.50 1535.70 3362.00 3789.80 3423.60 3051.80 2.00 0.00 3.00 17.50 20.00 20.00 0.00 8.00 0.00 13.00 40.00 0.00 11.00 0.00 44.50 0.00 0.00 20.00 7.00 0.00 20.50 4.50 0.00 2.00 0.00 12.00 0.00 10.50 1.00 0.00 5.00 33.00 0.00 8.00 7.00 0.00 0.00 37.00 36.00 310.00 54.00 35.00 30.00 5.00 0.00 94 358 359 360 361 362 363 364 365 5.73 6.31 5.98 6.36 6.59 5.87 6.34 6.57 1280.00 703.17 721.67 1541.50 1212.17 1095.83 800.67 520.00 121.88 66.44 144.98 145.75 126.92 119.50 82.37 57.23 0.07 0.04 0.03 0.07 0.08 0.09 0.07 0.04 0.09 0.10 0.09 0.15 0.20 0.11 0.10 0.10 0.11 0.11 0.09 0.14 0.30 0.12 0.14 0.13 0.14 0.15 0.11 0.15 0.18 0.14 0.13 0.08 250.92 214.72 192.46 221.77 250.08 250.61 208.63 234.86 2674.10 2301.60 2066.40 2374.20 2665.90 2671.30 2510.30 2252.20 73.00 75.00 32.00 38.50 0.00 0.00 0.00 0.00 95 APPENDIX B4– Daily Water Quality and Hydrological Data for Year 2007 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 PH 5.77 5.78 6.02 6.71 6.10 6.35 6.20 6.42 6.32 6.26 6.22 6.04 6.17 6.33 6.06 6.08 6.10 6.30 6.26 5.82 5.73 5.69 6.03 6.22 5.90 5.93 5.92 5.81 6.04 6.21 6.01 6.03 5.91 5.80 5.96 5.69 5.79 6.00 6.33 5.69 5.67 6.07 Colour 375.17 321.17 328.17 447.33 639.83 497.33 542.33 482.33 552.50 520.17 1385.00 2237.00 3164.00 2939.17 2345.67 1424.67 889.83 622.83 485.17 496.17 918.00 1066.00 587.33 546.17 639.40 728.33 614.17 849.83 852.33 432.33 572.00 564.83 517.50 406.00 464.33 437.17 429.00 535.17 430.50 385.83 426.17 398.33 Turb 37.14 36.28 36.58 49.13 77.13 52.99 44.78 35.20 44.91 54.16 183.83 485.67 402.75 330.73 218.75 129.38 81.21 57.03 47.78 59.53 105.61 104.11 61.70 56.30 63.41 68.22 58.53 96.38 93.25 57.89 54.14 57.80 52.83 40.35 47.24 48.38 43.51 53.69 38.58 37.06 43.37 46.72 Al 0.05 0.06 0.06 0.03 0.06 0.06 0.04 0.03 0.04 0.03 0.03 0.07 0.11 0.04 0.09 0.06 0.04 0.03 0.03 0.05 0.08 0.05 0.03 0.03 0.03 0.04 0.04 0.04 0.04 0.02 0.03 0.03 0.01 0.03 0.06 0.01 0.04 0.02 0.04 0.02 0.01 0.01 Fe 0.10 0.13 0.08 0.07 0.11 0.13 0.16 0.09 0.10 0.07 0.11 0.16 0.25 0.12 0.13 0.11 0.09 0.09 0.09 0.10 0.11 0.10 0.10 0.10 0.10 0.09 0.09 0.11 0.08 0.05 0.09 0.09 0.05 0.10 0.09 0.05 0.07 0.07 0.10 0.08 0.13 0.08 NH4 0.15 0.13 0.10 0.09 0.10 0.13 0.14 0.15 0.10 0.09 0.13 0.13 0.20 0.13 0.14 0.15 0.09 0.12 0.09 0.09 0.13 0.12 0.10 0.09 0.09 0.08 0.13 0.11 0.08 0.06 0.10 0.10 0.05 0.09 0.13 0.10 0.07 0.10 0.15 0.12 0.10 0.09 Mn 0.12 0.14 0.06 0.08 0.10 0.13 0.09 0.15 0.13 0.11 0.20 0.23 0.33 0.18 0.17 0.19 0.12 0.13 0.09 0.09 0.13 0.14 0.11 0.12 0.14 0.08 0.13 0.17 0.13 0.15 0.14 0.14 0.13 0.15 0.16 0.08 0.07 0.12 0.15 0.10 0.06 0.10 Flow 107.52 84.62 69.26 60.91 60.28 56.39 48.83 40.94 34.59 33.22 43.79 184.20 544.76 518.19 365.11 259.13 190.98 149.14 117.31 102.96 101.47 94.11 82.94 72.44 62.04 54.78 57.70 61.35 60.13 49.72 56.38 40.87 33.93 29.75 26.56 24.87 23.93 22.59 21.51 20.69 19.98 19.26 SS 1958.20 1686.90 1459.20 1321.70 1310.90 1240.80 1090.50 927.10 796.20 765.20 976.70 2485.80 4309.10 4204.40 3537.50 3009.60 2609.60 2305.80 2054.80 1919.70 1903.50 1814.30 1664.10 1509.30 1340.30 1211.30 1264.80 1329.50 1308.10 1240.80 1109.50 925.40 781.10 681.00 598.10 550.50 521.20 479.40 446.30 419.80 396.70 374.90 Rainfall 1.50 17.00 15.00 1.50 0.00 4.50 1.50 14.50 19.00 155.00 315.00 60.00 50.00 0.00 0.00 0.00 0.00 0.00 47.00 0.00 0.00 3.50 1.00 12.50 22.50 15.00 3.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 96 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 6.19 5.94 5.97 6.15 6.08 6.22 5.64 5.99 5.72 5.63 5.66 5.53 5.51 5.67 5.92 5.90 5.86 6.02 5.97 6.00 5.94 6.06 6.00 5.93 5.83 5.96 6.01 5.97 6.07 6.08 6.08 6.01 5.89 5.29 6.00 5.89 5.89 5.75 5.79 5.97 5.96 5.88 5.92 6.04 5.90 479.50 535.67 1006.83 853.83 779.67 1202.83 1858.33 1510.17 685.17 588.17 509.00 493.33 418.67 798.33 815.17 1247.00 1216.20 866.67 1476.50 1015.00 879.50 934.67 1008.50 744.17 680.50 579.67 484.83 686.83 811.17 568.17 589.33 642.83 1649.00 1138.00 990.33 1303.83 1211.17 2046.17 1501.20 743.83 699.83 848.67 512.17 530.50 543.17 49.30 70.34 95.77 92.36 76.18 140.20 165.25 127.76 73.88 57.43 59.51 48.78 43.96 78.71 85.23 147.50 116.92 149.50 153.33 102.75 80.58 96.13 80.83 66.73 66.17 55.53 55.44 73.90 68.94 56.11 57.40 111.45 272.67 130.55 89.76 171.76 117.65 240.48 133.05 76.54 70.13 89.58 52.99 54.30 66.44 0.02 0.03 0.04 0.03 0.03 0.05 0.03 0.03 0.06 0.03 0.02 0.03 0.02 0.00 0.01 0.01 0.05 0.04 0.03 0.03 0.02 0.01 0.03 0.02 0.04 0.05 0.03 0.02 0.00 0.00 0.01 0.03 0.08 0.02 0.04 0.06 0.03 0.02 0.02 0.06 0.04 0.03 0.02 0.01 0.01 0.08 0.07 0.14 0.01 0.08 0.20 0.08 0.12 0.11 0.06 0.06 0.11 0.09 0.02 0.07 0.05 0.07 0.20 0.07 0.10 0.07 0.05 0.09 0.08 0.09 0.08 0.03 0.05 0.05 0.05 0.05 0.12 0.20 0.10 0.09 0.15 0.16 0.12 0.16 0.07 0.06 0.06 0.06 0.03 0.03 0.06 0.10 0.15 0.01 0.12 0.17 0.14 0.12 0.11 0.07 0.07 0.16 0.06 0.02 0.10 0.04 0.12 0.12 0.07 0.13 0.06 0.04 0.09 0.05 0.09 0.06 0.05 0.05 0.07 0.06 0.05 0.10 0.14 0.11 0.07 0.12 0.14 0.04 0.14 0.08 0.05 0.09 0.04 0.03 0.04 0.08 0.12 0.09 0.01 0.15 0.15 0.16 0.14 0.13 0.10 0.09 0.11 0.12 0.13 0.10 0.06 0.13 0.23 0.15 0.16 0.09 0.06 0.12 0.12 0.11 0.12 0.08 0.10 0.08 0.08 0.10 0.11 0.12 0.08 0.10 0.11 0.10 0.09 0.14 0.09 0.05 0.12 0.11 0.07 0.07 18.49 18.53 19.95 22.61 23.42 24.90 23.79 20.57 17.99 16.45 15.63 16.00 16.26 16.64 18.75 17.38 17.51 23.42 23.99 22.73 21.08 . . . . . . . . . . . . . . . . . . . . . . . . 354.60 356.70 395.60 480.20 505.30 551.30 517.00 416.20 344.00 316.20 305.70 309.80 313.20 319.10 361.30 332.40 337.60 505.30 522.90 483.80 432.60 . . . . . . . . . . . . . . . . . . . . . . . . 0.00 0.00 0.00 0.00 2.00 0.00 8.00 0.00 0.00 0.00 0.00 0.00 5.00 7.50 0.00 14.00 22.00 24.00 0.00 4.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 1.00 0.00 5.00 1.00 1.00 0.00 13.00 5.00 0.00 23.00 0.00 2.00 0.00 0.00 0.00 2.00 95.00 97 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 5.88 5.71 5.72 6.02 6.03 5.96 5.95 5.90 5.95 5.93 5.79 5.92 5.93 5.86 5.87 5.73 5.82 5.82 5.83 5.96 6.02 6.01 6.06 5.94 5.95 6.05 6.06 6.06 6.02 5.90 5.88 5.87 5.82 5.81 5.64 5.87 5.96 5.82 5.84 5.67 5.80 5.77 6.01 5.97 5.92 829.33 1833.33 925.00 798.33 1045.67 776.33 1541.83 1429.83 1110.00 851.00 1078.17 679.67 1395.00 2313.17 2121.33 2951.83 1380.83 1194.33 1445.83 1200.67 1116.33 1456.83 1250.67 1465.50 933.17 663.83 758.33 1092.67 1490.00 2025.17 2765.17 1380.17 1032.17 671.67 462.67 1252.17 1039.83 657.33 400.67 386.67 483.50 633.33 1831.50 1387.67 805.83 250.25 342.33 122.54 115.06 104.69 77.28 164.06 141.00 107.58 86.41 118.95 81.64 137.78 432.08 211.25 213.00 121.21 112.88 159.50 139.78 197.29 124.85 146.44 184.08 99.25 74.47 86.29 102.98 169.83 215.75 285.75 141.33 107.62 71.89 69.22 131.15 116.00 68.10 48.41 54.90 57.55 118.88 180.83 128.51 67.20 0.02 0.04 0.01 0.02 0.02 0.03 0.03 0.03 0.02 0.03 0.04 0.04 0.02 0.04 0.02 0.03 0.03 0.02 0.05 0.02 0.02 0.12 0.00 0.02 0.03 0.07 0.04 0.02 0.03 0.04 0.03 0.05 0.02 0.03 0.00 0.13 0.02 0.02 0.02 0.00 0.03 0.05 0.00 0.03 0.01 0.19 0.14 0.01 0.05 0.06 0.07 0.05 0.06 0.01 0.11 0.08 0.03 0.08 0.09 0.11 0.13 0.05 0.04 0.04 0.06 0.06 0.05 0.07 0.06 0.06 0.07 0.08 0.07 0.05 0.08 0.06 0.10 0.05 0.06 0.03 0.05 0.05 0.06 0.09 0.05 0.04 0.07 0.10 0.08 0.04 0.07 0.07 0.02 0.07 0.08 0.11 0.08 0.07 0.08 0.09 0.08 0.04 0.05 0.08 0.07 0.01 0.03 0.05 0.06 0.06 0.07 0.09 0.04 0.10 0.03 0.07 0.08 0.10 0.02 0.06 0.10 0.09 0.04 0.07 0.01 0.08 0.07 0.09 0.09 0.04 0.05 0.04 0.10 0.11 0.03 0.14 0.26 0.04 0.10 0.18 0.10 0.10 0.07 0.09 0.13 0.15 0.08 0.12 0.14 0.03 0.18 0.05 0.06 0.10 0.14 0.13 0.10 0.04 0.13 0.14 0.13 0.10 0.13 0.17 0.09 0.13 0.12 0.07 0.09 0.10 0.05 0.09 0.12 0.11 0.12 0.05 0.20 0.11 0.14 0.04 22.39 18.94 . . . . . 20.81 17.22 16.14 14.80 14.86 27.88 30.72 31.06 28.80 25.02 22.85 20.70 18.30 19.01 20.29 18.80 16.28 16.05 18.20 22.82 27.95 21.45 17.76 16.16 . . 21.42 . . . . . . . . . . . . . . . . . . 423.80 330.00 311.50 299.50 301.90 627.80 705.50 713.70 657.40 52.60 487.50 420.20 352.20 369.50 407.00 364.00 313.60 310.50 352.10 485.70 632.70 444.00 340.90 312.70 367.80 473.20 443.20 . . . . . . . . . . . 0.00 0.00 26.00 0.00 61.00 0.00 0.00 2.00 0.00 0.00 40.00 72.00 0.00 3.00 3.00 49.00 0.00 1.50 0.00 3.50 36.00 0.00 0.00 22.00 5.00 0.00 24.00 0.00 2.00 0.00 0.00 0.00 12.00 10.00 29.00 0.00 0.00 0.00 2.00 0.00 22.00 0.00 0.00 0.00 0.00 98 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 5.97 5.75 5.78 5.94 5.95 5.87 5.85 5.74 5.62 5.73 5.74 5.50 5.81 5.76 5.86 5.87 5.70 5.74 5.75 5.83 5.84 5.93 5.86 5.39 5.77 5.45 5.65 5.46 5.88 6.08 5.51 5.94 5.64 5.64 6.00 5.74 5.72 5.73 5.79 5.51 5.78 5.81 5.73 5.70 5.99 797.33 1394.33 746.17 991.33 647.83 2002.33 2791.00 1999.67 1206.83 1033.00 931.00 1336.00 1875.50 1994.33 1366.67 1027.17 1227.50 1216.17 949.50 1095.17 1130.83 829.33 1322.17 1458.67 878.00 1040.00 2208.17 1719.67 873.33 1612.83 1653.33 1361.67 1325.67 1203.67 1235.50 2514.50 2043.20 904.00 737.67 680.00 995.83 702.33 639.50 1381.83 2673.33 81.38 145.65 115.83 125.75 85.64 224.92 268.17 216.00 111.23 98.06 125.30 161.67 198.00 221.33 120.54 102.23 157.12 108.25 100.29 113.97 116.72 80.98 148.82 112.38 74.79 107.18 249.42 179.67 94.87 215.42 154.83 147.67 139.42 123.63 174.15 294.42 201.64 98.96 80.29 83.85 100.73 82.58 65.22 147.88 266.92 0.02 0.03 0.06 0.04 0.02 0.02 0.03 0.09 0.01 0.02 0.04 0.03 0.09 0.04 0.03 0.01 0.01 0.01 0.04 0.02 0.06 0.05 0.07 0.02 0.01 0.01 0.02 0.00 0.05 0.04 0.04 0.02 0.02 0.00 0.01 0.02 0.04 0.05 0.04 0.00 0.00 0.02 0.02 0.02 0.04 0.06 0.07 0.02 0.06 0.03 0.11 0.08 0.02 0.05 0.08 0.09 0.20 0.14 0.09 0.09 0.08 0.08 0.03 0.11 0.09 0.11 0.07 0.09 0.01 0.05 0.05 0.04 0.00 0.08 0.08 0.08 0.05 0.07 0.08 0.09 0.07 0.08 0.08 0.08 0.07 0.04 0.03 0.03 0.08 0.07 0.07 0.03 0.08 0.07 0.01 0.15 0.08 0.03 0.03 0.03 0.15 0.15 0.10 0.06 0.10 0.02 0.05 0.04 0.05 0.09 0.15 0.07 0.09 0.01 0.05 0.05 0.01 0.00 0.10 0.06 0.07 0.04 0.06 0.03 0.07 0.07 0.08 0.10 0.09 0.13 0.04 0.06 0.05 0.11 0.09 0.10 0.11 0.09 0.16 0.08 0.12 0.10 0.04 5.62 0.05 0.13 0.13 0.12 0.12 0.12 0.09 0.05 0.00 0.11 0.13 0.14 0.09 0.13 0.04 0.11 0.08 0.12 0.14 0.14 0.12 0.09 0.04 0.04 0.00 0.08 0.08 0.10 0.15 0.11 0.13 0.22 0.12 0.10 0.10 0.14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.00 23.00 33.00 0.00 44.00 0.00 0.00 5.00 10.00 8.00 13.00 45.00 0.00 7.00 0.00 2.00 0.00 14.00 0.00 0.00 0.00 2.00 3.00 0.00 2.00 32.00 0.00 10.00 0.00 100.00 0.00 28.00 0.00 35.00 0.00 2.00 0.00 0.00 8.00 0.00 0.00 4.00 34.00 1.00 0.00 99 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 5.94 6.01 5.58 5.65 5.69 5.42 5.67 5.96 5.53 5.77 5.57 5.60 5.75 5.77 5.93 5.91 5.86 5.97 5.75 5.83 5.78 5.95 5.86 5.89 5.69 5.70 5.39 5.54 5.83 5.79 5.67 5.91 5.01 5.41 5.56 . . . . . . . . . . 1439.83 910.00 851.83 1020.83 1121.00 699.33 805.67 710.83 684.17 636.83 694.17 1939.33 725.67 857.00 564.67 649.17 662.50 684.40 744.40 1043.83 765.50 1297.17 2164.50 808.17 607.27 1234.17 1810.00 978.80 1103.33 850.80 1202.17 2608.60 1818.83 1514.17 1978.50 . . . . . . . . . . 143.08 99.37 132.56 98.44 125.08 75.33 84.64 69.31 69.23 74.32 73.16 70.08 67.71 80.56 56.29 61.50 66.08 67.32 101.77 129.31 82.03 128.18 218.08 93.83 74.64 188.92 287.75 112.05 105.11 93.02 116.02 245.20 174.91 149.25 203.33 . . . . . . . . . . 0.02 0.03 0.00 0.03 0.06 0.01 0.01 0.03 0.03 0.01 0.00 0.00 0.00 0.05 0.02 0.02 0.00 0.02 0.01 0.04 0.03 0.03 0.01 0.00 0.01 0.02 0.05 0.03 0.02 0.01 0.00 0.03 0.01 0.02 0.07 . . . . . . . . . . 0.05 0.07 0.05 0.10 0.08 0.05 0.06 0.04 0.06 0.06 0.05 0.06 0.06 0.08 0.06 0.06 0.05 0.12 0.04 0.08 0.06 0.09 0.08 0.05 0.04 0.05 0.07 0.07 0.07 0.12 0.04 0.07 0.04 0.10 0.11 . . . . . . . . . . 0.08 0.07 0.04 0.11 0.03 0.05 0.06 0.10 0.09 0.06 0.05 0.07 0.03 0.08 0.07 0.04 0.08 0.10 0.05 0.10 0.07 0.08 0.07 0.08 0.06 0.03 0.08 0.07 0.08 0.12 0.05 0.08 0.04 0.09 0.07 . . . . . . . . . . 0.11 0.09 0.05 0.11 0.04 0.15 0.06 0.11 0.11 0.04 0.02 0.03 0.09 0.12 0.10 0.07 0.07 0.10 0.03 0.24 0.12 0.13 0.18 0.01 0.03 0.05 0.07 0.23 0.14 0.15 0.05 0.09 0.00 0.17 0.07 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16.35 13.31 13.62 15.27 13.42 14.09 15.32 16.31 15.22 21.11 26.69 27.30 24.73 18.75 15.02 ? 13.65 . . . . 44.41 33.27 21.18 22.54 26.24 22.96 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.00 0.00 0.00 0.00 0.00 14.00 0.00 0.00 0.00 5.00 0.00 0.00 0.00 0.00 0.00 7.00 0.00 42.00 0.00 0.00 2.00 1.00 0.00 0.00 64.00 43.00 0.00 0.00 0.00 10.00 0.00 2.00 25.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 100 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 . . . . . . . . . . . . . . . . . . . . . 5.89 5.78 5.39 5.42 5.60 5.79 5.42 5.36 5.48 5.76 5.84 5.53 5.90 5.67 5.98 6.16 6.09 6.14 5.90 5.99 6.11 6.00 5.86 5.77 . . . . . . . . . . . . . . . . . . . . . 1786.17 1968.83 3562.33 3118.67 1044.67 690.83 682.00 1439.00 1022.50 789.67 707.20 818.00 591.00 671.00 610.17 1128.17 744.00 625.33 699.67 962.50 740.17 755.50 663.67 812.67 . . . . . . . . . . . . . . . . . . . . . 163.03 202.17 381.33 288.42 110.15 65.90 72.20 199.52 113.61 77.43 72.41 89.03 104.83 58.36 92.02 131.98 76.31 59.76 73.13 90.04 82.12 75.91 76.65 89.64 . . . . . . . . . . . . . . . . . . . . . 0.03 0.01 0.01 0.03 0.03 0.01 0.03 0.04 0.02 0.03 0.01 0.05 0.02 0.00 0.03 0.01 0.02 0.01 0.01 0.02 0.01 0.02 0.02 0.03 . . . . . . . . . . . . . . . . . . . . . 0.05 0.06 0.06 0.11 0.07 0.05 0.08 0.09 0.05 0.07 0.05 0.06 0.06 0.02 0.07 0.05 0.08 0.04 0.02 0.05 0.04 0.06 0.05 0.05 . . . . . . . . . . . . . . . . . . . . . 0.02 0.09 0.06 0.08 0.03 0.05 0.10 0.09 0.04 0.11 0.01 0.07 0.09 0.00 0.07 0.06 0.08 0.08 0.04 0.04 0.05 0.07 0.05 0.05 . . . . . . . . . . . . . . . . . . . . . 0.08 0.07 0.11 0.07 0.05 0.07 0.10 0.12 0.21 0.15 0.11 0.05 0.11 0.08 0.17 0.20 0.13 0.11 0.06 0.05 0.13 0.07 0.06 0.09 22.28 22.06 . . . . . . 20.04 16.13 12.92 11.80 11.55 11.53 11.50 11.22 11.06 10.97 10.82 . 10.48 . . . . 44.41 33.27 21.18 22.54 26.24 22.96 22.28 22.06 . . . . . . 20.04 16.13 12.92 11.80 11.55 11.53 . . . 315.30 215.40 212.20 302.50 209.00 221.60 303.00 313.80 303.30 434.70 601.60 618.30 543.20 366.30 301.70 231.70 . . . . . . 996.00 762.30 435.50 477.20 588.40 491.00 469.80 463.10 . . . . . . 399.40 315.70 198.70 147.10 139.00 137.80 50.00 0.00 0.00 0.00 15.00 35.00 2.00 17.00 10.00 12.00 12.00 0.00 5.00 8.00 0.00 0.00 0.00 0.00 0.00 0.00 5.00 7.00 48.00 0.00 0.00 0.00 0.00 0.00 3.00 8.00 0.00 0.00 12.00 0.00 13.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 101 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 5.93 6.14 6.18 6.06 6.12 6.02 6.04 6.21 6.10 6.11 6.07 6.19 5.80 5.87 5.91 5.83 6.11 6.38 6.19 6.09 6.29 6.20 5.86 6.24 5.65 6.01 6.45 6.29 6.18 6.16 6.53 6.54 6.24 6.10 5.98 6.26 6.13 6.11 6.22 6.24 6.21 . 6.24 6.24 5.96 839.33 762.33 663.93 634.70 649.17 619.17 648.17 825.33 831.83 801.00 637.67 1066.33 2669.50 2328.50 1913.17 811.83 1196.33 1196.83 1023.83 1574.67 1452.50 1394.83 1985.83 3002.67 3010.50 1307.00 1687.50 1791.67 1914.67 1134.00 1026.83 1075.00 1293.33 916.67 906.50 1100.67 1934.67 817.17 1134.83 811.83 1378.50 . 1834.33 1503.83 724.00 84.28 74.81 77.96 67.81 66.18 69.58 62.41 75.33 79.64 70.94 64.10 120.44 272.17 292.58 164.17 86.22 130.36 123.08 143.43 166.25 142.11 131.58 275.75 502.67 290.25 107.97 138.23 151.58 221.83 140.17 122.85 115.02 132.21 71.50 97.68 154.04 487.08 268.17 154.50 87.11 168.74 . 356.67 271.08 115.73 0.01 0.02 0.04 0.01 0.01 0.05 0.01 0.05 0.02 0.03 0.04 0.04 0.00 0.09 0.04 0.07 0.02 0.02 0.03 0.06 0.03 0.02 0.08 0.02 0.12 0.02 0.00 0.02 0.04 0.01 0.01 0.05 0.05 0.04 0.03 0.03 0.09 0.03 0.01 0.05 0.05 . 0.11 0.04 0.05 0.08 0.04 0.08 0.04 0.05 0.04 0.04 0.05 0.09 0.05 0.04 0.17 0.05 0.06 0.03 0.08 0.07 0.08 0.07 0.12 0.05 0.09 0.08 0.14 0.07 0.06 0.03 0.04 0.04 0.05 0.03 0.09 0.07 0.05 0.08 0.06 0.06 0.07 0.05 0.08 0.07 . 0.11 0.09 0.08 0.09 0.04 0.09 0.01 0.04 0.05 0.00 0.07 0.09 0.09 0.03 0.16 0.08 0.07 0.00 0.10 0.09 0.08 0.09 0.14 0.06 0.06 0.09 0.08 0.07 0.04 0.05 0.07 0.08 0.04 0.03 0.06 0.08 0.06 0.14 0.07 0.13 0.05 0.05 0.11 0.05 . 0.05 0.02 0.04 0.17 0.10 0.12 0.05 0.08 0.07 0.12 0.14 0.16 0.11 0.07 0.15 0.25 0.08 0.17 0.11 0.15 0.10 0.21 0.23 0.09 0.20 0.11 0.16 0.10 0.06 0.12 0.11 0.06 0.13 0.23 0.16 0.15 0.11 0.15 0.29 0.11 0.24 0.23 0.14 0.08 . 0.46 0.27 0.09 11.50 11.22 11.06 10.97 10.82 10.48 . . . . . . . . 23.30 26.58 31.34 35.99 41.95 49.86 59.84 67.54 76.93 86.41 94.97 70.38 80.88 . . . . . . . . . . . . . . . . . . 136.50 126.80 121.00 118.10 112.70 101.10 . . . . . . . . 501.40 597.60 720.00 826.80 946.60 1111.10 1302.70 1432.20 1577.40 1713.00 1825.70 1631.30 1477.30 . . . . . . . . . . . . . . . . . . 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 10.00 38.00 0.00 0.00 0.00 0.00 25.00 0.00 0.00 0.00 45.00 0.00 0.00 10.50 14.00 0.00 0.00 0.00 0.00 0.00 0.00 5.00 25.00 0.00 5.00 0.00 0.00 94.00 0.00 5.00 0.00 3.00 0.00 102 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 6.20 6.18 5.92 6.17 5.95 . 6.36 6.03 6.11 . 5.84 5.73 5.61 5.47 5.83 5.97 5.86 5.79 5.82 5.66 5.66 5.95 5.99 6.04 5.96 6.06 5.89 5.79 5.50 5.42 5.42 5.68 5.17 5.14 5.45 5.55 5.63 5.82 5.64 5.89 5.84 5.67 6.00 5.87 5.90 824.83 1310.50 1266.17 2124.00 1800.50 . 1241.17 723.50 825.50 . 2365.50 944.00 924.50 760.83 636.83 941.67 994.00 1143.83 755.73 1088.67 1088.67 822.17 615.33 746.33 588.33 580.17 2239.00 3440.83 2903.00 1930.00 792.83 1281.50 0.00 0.00 1534.83 449.17 616.67 602.00 896.00 2754.17 1275.17 789.17 884.50 953.67 559.83 93.21 127.82 135.68 233.42 198.33 . 132.58 76.47 71.87 . 228.18 105.12 88.95 81.66 73.64 97.02 111.26 114.88 106.66 92.39 92.39 80.72 60.54 76.66 61.10 62.23 228.41 349.00 309.75 200.42 118.63 158.18 255.42 199.03 113.50 73.13 71.68 68.87 100.53 288.83 139.21 78.18 111.63 117.22 61.33 0.05 0.03 0.05 0.00 0.02 . 0.03 0.01 0.02 . 0.03 0.03 0.01 0.01 0.00 0.02 0.02 0.02 0.01 0.01 0.01 0.01 0.00 0.05 0.02 0.03 0.01 0.01 0.04 0.01 0.03 0.04 0.00 0.00 0.03 0.01 0.03 0.05 0.04 0.02 0.03 0.02 0.02 0.02 0.02 0.07 0.06 0.09 0.03 0.04 . 0.05 0.04 0.06 . 0.05 0.08 0.03 0.04 0.07 0.07 0.04 0.04 0.04 0.03 0.03 0.05 0.05 0.17 0.16 0.08 0.05 0.05 0.07 0.10 0.07 0.05 0.00 0.00 0.05 0.04 0.06 0.08 0.06 0.06 0.06 0.04 0.09 0.09 0.05 0.06 0.05 0.07 0.00 0.04 . 0.06 0.03 0.10 . 0.06 0.05 0.02 0.03 0.04 0.06 0.07 0.07 0.03 0.05 0.05 0.03 0.02 0.18 0.10 0.07 0.03 0.02 0.05 0.06 0.03 0.05 0.00 0.00 0.04 0.05 0.08 0.04 0.06 0.05 0.08 0.03 0.09 0.12 0.09 0.14 0.14 0.20 0.08 0.03 . 0.04 0.09 0.13 . 0.10 0.12 0.04 0.10 0.08 0.12 0.11 0.06 0.07 0.11 0.11 0.06 0.10 0.10 0.13 0.14 0.06 0.22 0.31 0.04 0.13 0.12 0.00 0.00 0.07 0.06 0.09 0.03 0.14 0.26 0.09 0.05 0.19 0.13 0.11 . . . . . . . . . . . . . . . . . . . . 22.65 19.73 17.86 16.80 16.14 15.51 17.32 55.23 95.56 111.38 98.74 88.06 111.75 130.78 119.30 97.33 80.50 68.62 60.25 73.30 79.51 66.27 62.26 64.94 62.55 . . . . . . . . . . . . . . . . . . . . 481.40 389.60 341.00 321.10 311.50 304.80 355.50 1192.00 1827.10 2004.70 1869.90 1734.30 2001.20 2165.20 2072.40 1851.90 1628.80 1448.70 1310.10 1521.20 1615.20 1411.20 1344.80 1389.90 1349.30 5.00 0.00 25.00 0.00 18.00 0.00 2.00 0.00 65.00 6.00 1.00 0.00 0.50 0.00 0.00 0.00 0.00 0.10 13.00 0.00 0.00 0.00 0.00 0.00 0.00 134.00 55.00 0.00 17.00 25.00 84.00 0.00 22.00 0.00 0.00 0.00 0.00 32.00 10.00 0.00 0.00 42.00 0.00 3.00 0.00 103 358 359 360 361 362 363 364 365 5.78 5.53 5.80 5.93 5.88 6.03 5.92 5.46 613.50 485.00 676.00 521.50 374.17 477.50 568.62 0.00 58.96 55.77 112.88 53.99 41.69 49.86 53.41 63.58 0.03 0.04 0.03 0.02 0.02 0.01 0.05 0.00 0.07 0.13 0.09 0.06 0.05 0.03 0.09 0.00 0.08 0.08 0.10 0.07 0.05 0.02 0.13 0.00 0.09 0.12 0.14 0.09 0.07 0.07 0.17 0.00 52.17 38.78 25.47 21.43 19.19 18.09 18.60 16.89 1159.10 880.20 565.30 443.30 373.40 345.60 357.70 . 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 104 APPENDIX C1 - DESCRIPTIVE STATISTIC FOR SERIES 2004 PH Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 5.937337 0.015064 5.92 5.9 0.204333 0.041752 1.274442 -0.06142 1.39 5.27 6.66 1092.47 184 0.029721 Colour Mean 891.3921 Standard Error 39.78122 Median 706.41 Mode 690.46 Standard Deviation 539.6188 Sample Variance 291188.4 Kurtosis 10.85423 Skewness 2.659279 Range 4308.05 Minimum 5.87 Maximum 4313.92 Sum 164016.2 Count 184 Confidence Level(95.0%) 78.48883 Turbidity Mean 118.4759 Standard Error 4.981494 Median 85.69 Mode 76.29 Standard Deviation 67.57227 Sample Variance 4566.012 Kurtosis 2.523233 Skewness 1.689449 Range 316.12 Minimum 39.09 Maximum 355.21 Sum 21799.57 Count 184 Confidence Level(95.0%) 9.828547 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) AL Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) NH4 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 0.038533 0.001785 0.04 0.04 0.024215 0.000586 1.43568 1.111998 0.12 0 0.12 7.09 184 0.003522 FE 0.108804 0.006234 0.09 0.08 0.08456 0.00715 9.884475 2.672763 0.59 0 0.59 20.02 184 0.0123 0.078043 0.004245 0.07 0.07 0.057588 0.003316 8.234527 2.247256 0.39 0 0.39 14.36 184 0.008376 105 MN Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 0.122337 0.005444 0.11 0.06 0.073844 0.005453 5.66902 2.035956 0.42 0.03 0.45 22.51 184 0.010741 Rainfall Mean 9.013587 Standard Error 1.223698 Median 0 Mode 0 Standard Deviation 16.59905 Sample Variance 275.5285 Kurtosis 6.685971 Skewness 2.526333 Range 89 Minimum 0 Maximum 89 Sum 1658.5 Count 184 Confidence Level(95.0%) 2.414371 Flow 30.89429348 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 2.168440157 19.215 3.33 29.41415338 865.1924192 -0.87225271 0.720439827 98.08 -0.9 97.18 5684.55 184 4.278358175 106 APPENDIX C2 - DESCRIPTIVE STATISTIC FOR SERIES 2005 PH Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 6.036957 0.012791 6.05 6.04 0.173509 0.030105 0.068437 -0.45166 0.9 5.58 6.48 1110.8 184 0.025237 Turbidity Mean 78.96685 Standard Error 4.44983 Median 63.58 Mode 38.98 Standard Deviation 60.36044 Sample Variance 3643.382 Kurtosis 42.89098 Skewness 5.200464 Range 622.2 Minimum 24.37 Maximum 646.57 Sum 14529.9 Count 184 Confidence Level(95.0%) 8.779568 Colour 571.5275543 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 22.65161413 484.33 370.67 307.2614434 94409.5946 12.48525432 2.703393877 2590.61 32.14 2622.75 105161.07 184 44.69190363 FE Mean 0.118423913 Standard Error 0.019682563 Median 0.08 Mode 0.07 Standard Deviation 0.266987269 Sample Variance 0.071282202 Kurtosis 102.9381072 Skewness 9.532775206 Range 3.21 Minimum 0 Maximum 3.21 Sum 21.79 Count 184 Confidence Level(95.0%) 0.03883393 AL Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) MN Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 0.045543 0.002922 0.03 0.03 0.039639 0.001571 10.46294 2.594816 0.27 0 0.27 8.38 184 0.005766 0.114511 0.012978 0.1 0.1 0.176043 0.030991 165.9619 12.56701 2.43 0 2.43 21.07 184 0.025606 107 NH4 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) SS Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Flow 0.075109 0.005743 0.06 0.04 0.077903 0.006069 62.45777 6.416356 0.88 0 0.88 13.82 184 0.011331 66.43641 17.00927 4 2 230.7249 53233.98 21.94531 4.618791 1459.3 0 1459.3 12224.3 184 33.55948 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Rainfall Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 13.14304 2.670551 2.08 0.79 36.22512 1312.259 18.40065 4.189472 222.91 0.43 223.34 2418.32 184 5.269029 4.855978 0.916944 0 0 12.43803 154.7046 11.70162 3.302461 73 0 73 893.5 184 1.809141 108 APPENDIX C3 - DESCRIPTIVE STATISTIC FOR SERIES 2006 PH Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 6.255163 0.016891 6.315 6.4 0.229123 0.052497 1.11421 -0.98282 1.33 5.39 6.72 1150.95 184 0.033326 Colour Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Turbidity Mean 97.68353 Standard Error 5.092511 Median 85.715 Mode 44.28 Standard Deviation 69.07817 Sample Variance 4771.794 Kurtosis 6.833139 Skewness 2.016659 Range 497.28 Minimum 0.05 Maximum 497.33 Sum 17973.77 Count 184 Confidence Level(95.0%) 10.04758 AL 776.4055 33.06224 742.655 883.67 448.4781 201132.6 1.497503 1.053271 2560.96 18.71 2579.67 142858.6 184 65.2322 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) FE Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 0.129511 0.007444 0.1 0.07 0.100975 0.010196 6.206547 2.247908 0.6 0.02 0.62 23.83 184 0.014687 NH4 0.039457 0.002601 0.03 0.02 0.035278 0.001245 13.24282 3.086618 0.26 0 0.26 7.26 184 0.005131 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 0.142554 0.00752 0.11 0.08 0.102004 0.010405 5.778571 2.089788 0.69 0 0.69 26.23 184 0.014837 109 MN Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Flow Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) SS 0.108207 0.004635 0.1 0.13 0.062878 0.003954 3.282175 1.295854 0.38 0 0.38 19.91 184 0.009146 31.35745 2.483012 23.14 21.5 33.68121 1134.424 23.08307 4.69058 231.26 14.2 245.46 5769.77 184 4.899012 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Rainfall Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 201.9578 28.63962 100.5 46.6 388.4867 150921.9 22.01071 4.585519 2619 0 2619 37160.23 184 56.50631 6.86413 1.099966 0 0 14.92067 222.6262 13.3303 3.336701 100 0 100 1263 184 2.170246 110 APPENDIX C4 - DESCRIPTIVE STATISTIC FOR SERIES 2007 PH Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 5.891196 0.014983 5.9 6.01 0.203233 0.041303 1.375501 0.232924 1.42 5.29 6.71 1083.98 184 0.029561 Colour Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Turbidity Mean 117.5756 Standard Error 5.470317 Median 99.83 Mode 52.99 Standard Deviation 74.20299 Sample Variance 5506.084 Kurtosis 5.462413 Skewness 1.999891 Range 450.47 Minimum 35.2 Maximum 485.67 Sum 21633.91 Count 184 Confidence Level(95.0%) 10.793 AL 1060.475 42.82744 914 798.33 580.9397 337490.9 1.762885 1.339611 2842.83 321.17 3164 195127.3 184 84.49905 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) FE Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 0.080272 0.002872 0.08 0.08 0.038954 0.001517 2.709499 1.161991 0.25 0 0.25 14.77 184 0.005666 NH4 0.032011 0.001601 0.03 0.03 0.021723 0.000472 3.722074 1.468346 0.13 0 0.13 5.89 184 0.00316 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 0.080924 0.002819 0.08 0.07 0.038236 0.001462 -0.30606 0.259256 0.2 0 0.2 14.89 184 0.005562 111 MN Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Flow Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) SS 0.141413 0.030115 0.11 0.12 0.408503 0.166874 179.6278 13.32451 5.62 0 5.62 26.02 184 0.059418 36.93984 4.839028 19.84 16.81 65.63978 4308.58 38.17022 5.822475 529.96 14.8 544.76 6796.93 184 9.547461 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) Rainfall Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Confidence Level(95.0%) 637.7016 47.69005 411.6 361.78 646.8993 418478.7 13.09032 3.380164 4256.5 52.6 4309.1 117337.1 184 94.09304 10.36685 2.203295 0 0 29.88694 893.2294 62.10285 6.902274 315 0 315 1907.5 184 4.347127 112 APPENDIX D1 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (PH, 2006) 100 7.5 7.0 80 6.5 60 6.0 40 5.5 20 Std. Dev = .25 5.0 PH Mean = 6.08 N = 316.00 0 4.5 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 5.00 343 324 362 5.25 5.13 5.38 5.75 5.63 6.00 5.88 6.25 6.13 6.50 6.38 6.75 6.63 7.00 6.88 PH Sequence number (a) Plotting of Original Data (b) Histogram of Original Data PH PH 1.0 1.0 .5 .5 0.0 0.0 Partial ACF -.5 Confidence Limits ACF 5.50 -1.0 -.5 Confidence Limits Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (e) ACF Plot of the Original Data (e) PACF Plot of the Original Data 113 APPENDIX D2 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (PH, 2006) 60 7.0 6.8 50 6.6 40 6.4 30 6.2 6.0 20 5.8 10 Std. Dev = .22 PH 5.6 Mean = 6.29 N = 308.00 0 5.4 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 5.56 343 324 362 5.69 5.63 5.75 (a) Plotting of Original Data 6.00 6.13 6.25 6.44 6.56 6.69 6.38 6.50 6.63 6.75 PH PH .5 .5 0.0 0.0 Partial ACF 1.0 -.5 Confidence Limits ACF 6.19 6.31 (b) Histogram of Original Data 1.0 -1.0 Coefficient 3 2 5.88 6.06 PH Sequence number 1 5.81 5.94 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 114 APPENDIX D3 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (PH, 2007) 6.8 50 6.6 40 6.4 6.2 30 6.0 5.8 20 5.6 10 PH 5.4 Std. Dev = .22 Mean = 5.89 5.2 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 324 N = 326.00 0 343 362 5.38 5.50 5.63 5.75 5.44 5.56 5.69 5.88 6.00 6.13 5.81 5.94 6.06 6.25 6.38 6.50 6.19 6.31 6.44 6.56 Sequence number PH (a) Plotting of Original Data (b) Histogram of Original Data PH PH 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) ACF Plot of the Original Data -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 115 APPENDIX E1 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Colour, 2004) 5000 30 4000 20 3000 2000 COLOUR 10 1000 Std. Dev = 405.84 0 Mean = 865.7 1 39 115 58 96 153 134 191 172 229 210 267 248 305 286 343 324 362 0 N = 148.00 .0 00 20 0 .0 0 19 0 .0 0 18 .0 00 17 0 .0 0 16 0 .0 0 15 0 .0 0 14 0 .0 0 13 0 .0 0 12 0 .0 0 11 0 .0 0 10 0 0. 90 0 0. 80 .0 0 70 .0 0 60 .0 0 50 .0 0 40 .0 0 30 20 77 Sequence number COLOUR (a) Plotting of Original Data (b) Histogram of Original Data COLOUR COLOUR 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 116 APPENDIX E2 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Colour, 2005) 3000 60 50 2000 40 30 COLOUR 1000 20 10 Std. Dev = 395.16 Mean = 713.1 0 N = 316.00 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 0 0. 1 .0 00 26 0 . 00 24 0 . 00 22 0 . 00 20 0 . 00 18 0 . 00 16 0 . 00 14 0 . 00 12 0 . 00 10 0 0. 80 0 0. 60 0 0. 40 0 0. 20 0 362 Sequence number COLOUR (a) Plotting of Original Data (b) Histogram of Original Data COLOUR COLOUR 1.0 1.0 .5 .5 0.0 0.0 Partial ACF -.5 ACF Confidence Limits -1.0 -.5 Confidence Limits Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (e) ACF Plot of the Original Data (e) PACF Plot of the Original Data 117 APPENDIX E3 COLOUR Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Colour, 2006) 4000 40 3000 30 2000 20 1000 10 Std. Dev = 480.30 Mean = 869.5 N = 309.00 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 0 0. 1 343 324 .0 00 24 .0 00 22 .0 00 20 .0 00 18 .0 00 16 .0 00 14 .0 00 12 .0 00 10 0 0. 80 0 0. 60 0 0. 40 0 0. 20 0 0 362 COLOUR Sequence number (a) Plotting of Original Data (b) Histogram of Original Data COLOUR COLOUR 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 118 APPENDIX E4 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Colour, 2007) 4000 40 3000 30 20 2000 10 1000 COLOUR Std. Dev = 591.81 Mean = 1091.0 0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 N = 326.00 .0 00 31 .0 00 29 .0 00 27 .0 00 25 .0 00 23 .0 00 21 .0 00 19 .0 00 17 .0 00 15 .0 00 13 .0 00 11 0 0. 90 0 0. 70 0 0. 50 0 0. 30 0 343 324 362 COLOUR Sequence number (a) Plotting of Original Data (b) Histogram of Original Data COLOUR COLOUR 1.0 1.0 .5 .5 0.0 0.0 Partial ACF -.5 ACF Confidence Limits -1.0 -.5 Confidence Limits Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (e) ACF Plot of the Original Data (e) PACF Plot of the Original Data 119 APPENDIX F1 Sequence Plot, Histogram, ACF and PACF Plot of Original Data (Turbidity, 2004) 400 60 50 300 40 200 30 20 TURB 100 10 Std. Dev = 71.04 Mean = 126.2 0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 324 N = 155.00 0 343 362 40.0 80.0 60.0 120.0 160.0 200.0 240.0 100.0 140.0 180.0 220.0 280.0 320.0 360.0 260.0 300.0 340.0 Sequence number TURB (a) Plotting of Original Data (b) Histogram of Original Data TURB TURB 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 120 APPENDIX F2 Sequence Plot, Histogram, ACF and PACF Plot of Original Data (Turbidity, 2005) 700 100 600 80 500 60 400 300 40 TURB 200 20 100 Std. Dev = 67.81 Mean = 96.0 0 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 324 N = 316.00 0 343 362 Sequence number 0 5. 62 0 5. 57 0 5. 52 0 5. 47 0 5. 42 0 5. 37 0 5. 32 0 5. 27 0 5. 22 0 5. 17 0 5. 12 .0 75 .0 25 1 TURB (a) Plotting of Original Data (b) Histogram of Original Data TURB TURB 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 121 APPENDIX F3 Sequence Plot, Histogram, ACF and PACF Plot of Original Data (Turbidity, 2006) 400 60 50 300 40 200 30 20 TURB 100 10 Std. Dev = 62.67 0 Mean = 105.4 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 362 N = 308.00 0 0.0 40.0 20.0 Sequence number 80.0 60.0 120.0 160.0 200.0 240.0 280.0 320.0 100.0 140.0 180.0 220.0 260.0 300.0 340.0 TURB (a) Plotting of Original Data (b) Histogram of Original Data TURB TURB 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) ACF Plot of the Original Data -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 122 APPENDIX F4 Sequence Plot, Histogram, ACF and PACF Plot of Original Data (Turbidity, 2007) 400 50 300 40 30 200 20 TURB 100 10 Std. Dev = 59.99 0 1 39 58 115 96 153 134 191 172 229 210 267 248 305 286 Mean = 114.0 343 324 362 N = 320.00 0 .0 80 .0 60 .0 40 0 0. 28 0 0. 26 0 0. 24 0 0. 22 0 0. 20 0 0. 18 0 0. 16 0 0. 14 0 0. 12 0 0. 10 20 77 Sequence number TURB (a) Plotting of Original Data (b) Histogram of Original Data TURB TURB 1.0 1.0 .5 .5 0.0 0.0 Partial ACF -.5 ACF Confidence Limits -1.0 -.5 Confidence Limits Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (e) ACF Plot of the Original Data (e) PACF Plot of the Original Data 123 APPENDIX G1 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Al, 2004) .14 70 .12 60 .10 50 .08 40 .06 30 .04 20 AL .02 0.00 Std. Dev = .03 10 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 Mean = .038 362 N = 155.00 0 0.000 Sequence number .025 .013 .050 .038 .075 .063 .100 .088 .125 .113 AL (a) Plotting of Original Data (b) Histogram of Original Data AL AL 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 124 APPENDIX G2 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Al, 2005) 1.0 300 .8 200 .6 .4 100 .2 AL Std. Dev = .06 Mean = .05 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 316.00 0 362 Sequence number 0.00 .13 .25 .38 .50 .63 .75 .88 AL (a) Plotting of Original Data (b) Histogram of Original Data AL AL 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 125 APPENDIX G3 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Al, 2006) .12 140 .10 120 100 .08 80 .06 60 .04 40 AL .02 Std. Dev = .02 20 Mean = .039 0.00 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 299.00 0 362 Sequence number .013 .038 .050 .063 .075 .088 .100 AL (a) Plotting of Original Data (b) Histogram of Original Data AL AL 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 Confidence Limits ACF .025 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 126 APPENDIX G4 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Al, 2007) .10 160 140 .08 120 .06 100 80 .04 60 AL .02 40 Std. Dev = .02 20 0.00 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 Mean = .028 343 324 362 N = 326.00 0 0.000 .013 .025 .038 .050 .063 .075 .088 Sequence number AL (a) Plotting of Original Data (b) Histogram of Original Data AL AL 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 127 APPENDIX H1 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Fe, 2004) .4 40 .3 30 .2 20 10 .1 Std. Dev = .07 FE Mean = .104 N = 152.00 0 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 0.000 343 324 .050 .025 .100 .075 .150 .125 .200 .175 .250 .225 .300 .275 .350 .325 362 FE Sequence number (a) Plotting of Original Data (b) Histogram of Original Data FE FE 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) ACF Plot of the Original Data -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 128 APPENDIX H2 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Fe, 2005) 3.5 140 3.0 120 2.5 100 2.0 80 1.5 60 1.0 40 FE .5 Std. Dev = .03 20 0.0 Mean = .072 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 362 N = 330.00 0 0.000 Sequence number .050 .075 .100 .125 .150 .175 .200 FE (a) Plotting of Original Data (b) Histogram of Original Data FE FE 1.0 1.0 .5 .5 0.0 0.0 Partial ACF -.5 Confidence Limits ACF .025 -1.0 -.5 Confidence Limits Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (e) ACF Plot of the Original Data (e) PACF Plot of the Original Data 129 APPENDIX H3 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Fe, 2006) .4 80 .3 60 .2 40 .1 20 FE Std. Dev = .06 Mean = .121 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 299.00 0 362 .025 .075 .050 .125 .100 .175 .150 .225 .200 .275 .250 .325 .300 Sequence number FE (a) Plotting of Original Data (b) Histogram of Original Data FE FE 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 130 APPENDIX H4 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Fe, 2007) .3 140 120 100 .2 80 60 .1 40 Std. Dev = .03 FE 20 Mean = .072 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 330.00 0 362 Sequence number 0.000 .100 .125 .150 .175 .200 FE FE .5 .5 0.0 0.0 Partial ACF 1.0 -.5 Confidence Limits ACF .075 (b) Histogram of Original Data 1.0 -1.0 Coefficient 3 2 .050 FE (a) Plotting of Original Data 1 .025 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 131 APPENDIX I1 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (NH4, 2004) .5 80 70 .4 60 .3 50 40 .2 30 NH4 .1 20 Std. Dev = .06 10 Mean = .08 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 155.00 0 362 Sequence number 0.00 .05 .25 .30 .35 .40 NH4 NH4 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 Confidence Limits ACF .20 (b) Histogram of Original Data 1.0 -1.0 Coefficient 3 2 .15 NH4 (a) Plotting of Original Data 1 .10 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 132 APPENDIX I2 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (NH4, 2005) 1.0 160 140 .8 120 100 .6 80 .4 60 40 NH4 .2 Std. Dev = .07 20 Mean = .09 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 324 N = 316.00 0 343 362 0.00 .13 .06 .25 .19 .38 .31 .50 .44 .63 .56 .75 .69 .88 .81 Sequence number NH4 (a) Plotting of Original Data (b) Histogram of Original Data NH4 NH4 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) ACF Plot of the Original Data -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 133 APPENDIX I3 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (NH4, 2006) .4 80 70 .3 60 50 .2 40 30 NH4 .1 20 Std. Dev = .07 10 0.0 Mean = .136 N = 303.00 0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 .025 362 Sequence number .075 .050 NH4 .200 .275 .250 .325 .300 .375 .350 NH4 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 Confidence Limits ACF .150 .225 (b) Histogram of Original Data 1.0 -1.0 Coefficient 3 2 .100 .175 NH4 (a) Plotting of Original Data 1 .125 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 134 APPENDIX I4 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (NH4, 2007) 100 .3 80 .2 60 40 .1 NH4 20 Std. Dev = .04 Mean = .073 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 324 N = 331.00 0 343 362 0.000 .025 .050 .075 .100 .125 .150 .175 .200 NH4 Sequence number (a) Plotting of Original Data (b) Histogram of Original Data NH4 NH4 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 135 APPENDIX J1 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Mn, 2004) 70 .5 60 .4 50 .3 40 30 .2 20 .1 Std. Dev = .06 MN 10 Mean = .13 N = 152.00 0 0.0 1 39 77 20 58 115 96 153 134 191 172 229 210 267 248 305 286 .05 343 324 .10 .15 .20 .25 .30 .35 362 MN Sequence number (a) Plotting of Original Data (b) Histogram of Original Data MN MN 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 136 APPENDIX J2 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Mn, 2005) .3 200 .2 100 MN .1 Std. Dev = .19 0.0 Mean = .13 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 316.00 0 362 Sequence number 0.00 .25 .75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 MN (a) Plotting of Original Data (b) Histogram of Original Data MN MN 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 ACF .50 -.5 Confidence Limits Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 16 Lag Number Lag Number Transforms: difference (1) Transforms: difference (1) (e) ACF Plot of the Original Data (e) PACF Plot of the Original Data 137 APPENDIX J3 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Mn, 2006) .3 100 80 .2 60 40 .1 20 MN Std. Dev = .05 Mean = .123 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 324 N = 293.00 0 343 362 0.000 .050 .025 .100 .075 .150 .125 .200 .175 .250 .225 .275 Sequence number MN (a) Plotting of Original Data (b) Histogram of Original Data MN MN 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 138 APPENDIX J4 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (Mn, 2007) .3 100 80 .2 60 40 .1 20 MN Std. Dev = .05 Mean = .109 0.0 1 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 325.00 0 0.000 362 Sequence number .050 .025 .100 .075 .150 .125 .200 .175 .250 .225 MN (a) Plotting of Original Data (b) Histogram of Original Data MN MN 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 139 APPENDIX K1 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (SS, 2005) 30 400 300 20 200 10 100 SS Std. Dev = 187.01 Mean = 52.6 0 77 20 58 115 96 153 134 191 172 229 210 267 248 305 286 343 324 N = 363.00 362 Sequence number 0 0. 39 .0 00 14 .0 00 13 .0 00 12 .0 00 11 .0 00 10 0 0. 90 0 0. 80 0 0. 70 0 0. 60 0 0. 50 0 0. 40 0 0. 30 0 0. 20 0 0. 10 1 0 SS (a) Plotting of Original Data (b) Histogram of Original Data SS SS 1.0 1.0 .5 .5 0.0 0.0 Partial ACF -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 -.5 Confidence Limits -1.0 Coefficient 1 3 2 Lag Number (e) ACF Plot of the Original Data 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 140 APPENDIX K2 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (SS, 2006) 600 50 500 40 400 30 300 200 20 100 SS 10 Std. Dev = 110.99 0 1 39 58 115 96 153 134 191 172 229 210 267 248 305 286 Mean = 132.3 343 324 362 N = 312.00 0 .0 80 .0 40 0 0. 0 0. 48 0 0. 44 0 0. 40 0 0. 36 0 0. 32 0 0. 28 0 0. 24 0 0. 20 0 0. 16 0 0. 12 20 77 Sequence number SS (a) Plotting of Original Data (b) Histogram of Original Data SS SS 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 14 -1.0 Coefficient 1 15 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 141 APPENDIX K3 Sequence Plot, Histogram, ACF and PACF Plot of the Original Data (SS, 2007) 3000 40 30 2000 20 1000 10 SS Std. Dev = 555.38 Mean = 752.4 0 39 20 77 58 115 96 153 134 191 172 229 210 267 248 305 286 0 343 324 362 Sequence number N = 164.00 .0 00 21 .0 00 19 .0 00 17 .0 00 15 .0 00 13 .0 00 11 0 0. 90 0 0. 70 0 0. 50 0 0. 30 0 0. 10 1 SS (a) Plotting of Original Data (b) Histogram of Original Data SS SS 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (e) ACF Plot of the Original Data 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (e) PACF Plot of the Original Data 142 APPENDIX L1 – Estimation of ARIMA Model Parameters Model Description: Variable: PH Regressors: NONE Non-seasonal differencing: 1 No seasonal component in model. Parameters: AR1 ________ < value originating from estimation > MA1 ________ < value originating from estimation > CONSTANT ________ < value originating from estimation > 95.00 percent confidence intervals will be generated. Split group number: 1 Series length: 184 Number of cases skipped at beginning because of missing values: 182 Number of cases containing missing values: 29 Kalman filtering will be used for estimation. Termination criteria: Parameter epsilon: .001 Maximum Marquardt constant: 1.00E+09 SSQ Percentage: .001 Maximum number of iterations: 10 Initial values: AR1 .15164 MA1 .52955 CONSTANT -.00028 Marquardt constant = .001 Adjusted sum of squares = 4.7046594 Iteration History: Iteration Adj. Sum of Squares Marquardt Constant 1 4.4732461 .10000000 2 4.4679331 .01000000 Conclusion of estimation phase. Estimation terminated at iteration number 3 because: Sum of squares decreased by less than .001 percent. FINAL PARAMETERS: 143 Number of residuals 154 Standard error .17038307 Log likelihood 54.066272 AIC -102.13254 SBC -93.021686 Analysis of Variance: Residuals DF Adj. Sum of Squares Residual Variance 151 4.4678890 .02903039 Variables in the Model: B SEB T-RATIO APPROX. PROB. AR1 .30549557 MA1 .80398562 .11827801 2.582860 .01074808 .07336834 10.958209 .00000000 CONSTANT .00076285 .00362813 .210259 .83374922 Covariance Matrix: AR1 MA1 AR1 .01398969 .00648001 MA1 .00648001 .00538291 Correlation Matrix: AR1 MA1 AR1 1.0000000 .7467292 MA1 .7467292 1.0000000 Regressor Covariance Matrix: CONSTANT .00001316 Regressor Correlation Matrix: CONSTANT 1.0000000 The following new variables are being created: Name Label FIT_1 Fit for PH from ARIMA, MOD_1 CON ERR_1 Error for PH from ARIMA, MOD_1 CON LCL_1 95% LCL for PH from ARIMA, MOD_1 CON UCL_1 95% UCL for PH from ARIMA, MOD_1 CON SEP_1 SE of fit for PH from ARIMA, MOD_1 CON 144 APPENDIX L2 – ACF and PACF Description Variable: PH Missing cases: 211 Valid cases: 155 Some of the missing cases are imbedded within the series. Autocorrelations: PH Auto- Stand. Lag Corr. Err. -1 -.75 -.5 -.25 0 .25 .5 .75 1 Box-Ljung Prob. 63.900 .000 ùòòòòôòòòòôòòòòôòòòòôòòòòôòòòòôòòòòôòòòòú 1 .630 .079 . ó**.********** 2 .486 .078 . ó**.******* 102.476 .000 3 .381 .078 . ó**.***** 126.505 .000 4 .394 .077 . ó**.***** 152.507 .000 5 .442 .077 . ó**.****** 185.698 .000 6 .345 .076 . ó**.**** 206.286 .000 7 .298 .076 . ó**.*** 221.878 .000 8 .264 .075 . ó**.** 234.248 .000 9 .322 .074 . ó**.*** 252.903 .000 10 .262 .074 . ó**.** 265.452 .000 11 .268 .074 . ó**.** 278.653 .000 12 .214 .073 . ó**.* 287.226 .000 13 .175 .073 . ó**.* 293.063 .000 14 .124 .072 . ó**. 296.032 .000 15 .111 .071 . ó**. 298.429 .000 16 .086 .071 . ó**. 299.917 .000 Plot Symbols: Total cases: Autocorrelations * 366 Two Standard Error Limits . Computable first lags: Partial Autocorrelations: 151 PH Pr-Aut- Stand. Lag Corr. Err. -1 -.75 -.5 -.25 0 .25 .5 1 .630 .080 . ó**.********** 2 .148 .080 . ó*** 3 .046 .080 . ó* . 4 .175 .080 . ó*** 5 .193 .080 . ó**.* 6 -.084 .080 .**ó . 7 .015 .080 . * . 8 .036 .080 . ó* . 9 .126 .080 . ó*** .75 1 ùòòòòôòòòòôòòòòôòòòòôòòòòôòòòòôòòòòôòòòòú 145 10 -.097 .080 .**ó 11 .084 .080 . ó**. 12 -.024 .080 . * 13 -.052 .080 . *ó . 14 -.105 .080 .**ó . 15 .040 .080 . 16 -.062 .080 . *ó Plot Symbols: Total cases: Autocorrelations * 366 . . ó* . . Two Standard Error Limits . Computable first lags: 151 146 APPENDIX M - DIAGNOSTIC CHECKING 1. Diagnostic Checking For PH 2005 Error for PH from ARIMA, (1,1,1) Error for PH from ARIMA, (1,1,1) 1.0 1.0 .5 .5 0.0 Partial ACF 0.0 -.5 ACF Confidence Limits -1.0 -.5 Confidence Limits -1.0 Coefficient 1 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 3 5 2 15 14 16 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 2. Diagnostic Checking For PH 2006 Error for PH from ARIMA, (1,1,1) Error for PH from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 -.5 Confidence Limits -1.0 Coefficient 1 15 14 3 5 2 16 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 3. Diagnostic Checking For PH 2007 Error for PH from ARIMA, (1,1,1) Error for PH from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 -.5 Confidence Limits -1.0 Coefficient 1 15 14 Partial ACF 1.0 16 Lag Number (a) ACF Plot of Best Fitted Model Error 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 147 4. Diagnostic Checking For Colour 2004 Error for COLOUR from ARIMA, (1,1,1) Error for COLOUR from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 5 2 4 7 6 9 8 11 10 13 12 -.5 Confidence Limits -1.0 Coefficient 1 15 14 3 5 2 16 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 5. Diagnostic Checking For Colour 2005 Error for COLOUR from ARIMA, (1,1,1) Error for COLOUR from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 7 4 6 9 8 11 10 13 12 -1.0 Coefficient 1 15 14 3 2 16 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 6. Diagnostic Checking For Colour 2006 Error for COLOUR from ARIMA, (1,1,1) Error for COLOUR from ARIMA, (1,1,1) 1.0 1.0 .5 .5 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Partial ACF 0.0 -.5 Confidence Limits -1.0 Coefficient 1 3 2 Lag Number (a) ACF Plot of Best Fitted Model Error 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 148 7. Diagnostic Checking For Colour 2007 Error for COLOUR from ARIMA, (1,1,2) Error for COLOUR from ARIMA, (1,1,2) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 Partial ACF 1.0 -.5 Confidence Limits -1.0 Coefficient 1 15 14 3 2 16 5 4 7 6 9 8 11 10 13 15 12 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 8. Diagnostic Checking For Turbidity 2004 Error for TURB from ARIMA, (1,1,1) Error for TURB from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 Confidence Limits -1.0 Coefficient 15 14 1 16 3 5 2 Lag Number 7 4 6 9 8 11 10 13 12 15 14 16 Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 9. Diagnostic Checking For Turbidity 2005 Error for TURB from ARIMA, (1,1,2) Error for TURB from ARIMA, (1,1,2) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 -.5 Confidence Limits -1.0 Coefficient 1 15 14 Partial ACF 1.0 16 Lag Number (a) ACF Plot of Best Fitted Model Error 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 149 10. Diagnostic Checking For Turbidity 2006 Error for TURB from ARIMA, (1,1,1) Error for TURB from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 -1.0 Coefficient 1 3 2 5 7 4 6 9 8 11 10 13 12 Coefficient 1 15 14 3 5 2 16 7 4 9 6 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 11. Diagnostic Checking For Turbidity 2007 Error for TURB from ARIMA, (1,1,2) Error for TURB from ARIMA, (1,1,2) 1.0 1.0 .5 .5 0.0 Partial ACF 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 -.5 Confidence Limits -1.0 Coefficient 1 15 14 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 12. Diagnostic Checking For Al 2004 Error for AL from ARIMA, (1,1,1) Error for AL from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 Partial ACF 1.0 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (a) ACF Plot of Best Fitted Model Error 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 150 13. Diagnostic Checking For Al 2005 Error for AL from ARIMA, (1,1,1) Error for AL from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 5 2 4 7 6 9 8 11 10 13 -1.0 Coefficient 1 15 12 14 3 2 16 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 14. Diagnostic Checking For Al 2006 Error for AL from ARIMA, (1,1,1) Error for AL from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 7 4 6 9 8 11 10 13 12 -1.0 Coefficient 1 15 14 3 2 16 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 15. Diagnostic Checking For Al 2007 Error for AL from ARIMA, (1,1,1) Error for AL from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 Partial ACF 1.0 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (a) ACF Plot of Best Fitted Model Error 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 151 16. Diagnostic Checking For Fe 2004 Error for FE from ARIMA, (1,1,1) Error for FE from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 5 2 4 7 6 9 8 11 10 13 Partial ACF 1.0 -.5 Confidence Limits -1.0 12 14 Coefficient 1 15 3 2 16 5 7 4 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 17. Diagnostic Checking For Fe 2005 Error for FE from ARIMA, (1,1,1) Error for FE from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 5 2 4 7 6 9 8 11 10 13 12 Partial ACF 1.0 -.5 Confidence Limits -1.0 15 14 Coefficient 1 16 3 2 Lag Number 5 7 4 6 9 8 11 10 13 12 15 14 16 Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 18. Diagnostic Checking For Fe 2006 Error for FE from ARIMA, (1,1,1) Error for FE from ARIMA, (1,1,1) 1.0 1.0 .5 .5 0.0 0.0 Partial ACF -.5 ACF Confidence Limits -1.0 -.5 Confidence Limits Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 -1.0 Coefficient 1 3 2 Lag Number (a) ACF Plot of Best Fitted Model Error 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 152 19. Diagnostic Checking For Fe 2007 Error for FE from ARIMA, (1,1,1) Error for FE from ARIMA, (1,1,1) 1.0 1.0 .5 .5 0.0 -.5 Partial ACF 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 5 2 4 7 6 9 8 11 10 13 12 15 14 Confidence Limits -1.0 Coefficient 1 16 3 5 2 7 4 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 20. Diagnostic Checking For Nh4 2004 Error for NH4 from ARIMA, (1,1,1) Error for NH4 from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 -.5 Confidence Limits -1.0 Coefficient 1 15 14 3 5 2 16 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 21. Diagnostic Checking For Nh4 2005 Error for NH4 from ARIMA, (1,1,2) Error for NH4 from ARIMA, (1,1,2) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (a) ACF Plot of Best Fitted Model Error 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 153 22. Diagnostic Checking For Nh4 2006 Error for NH4 from ARIMA, (1,1,1) Error for NH4 from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 Partial ACF 1.0 -.5 Confidence Limits -1.0 15 14 Coefficient 1 16 3 2 Lag Number 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 23. Diagnostic Checking For Nh4 2007 Error for NH4 from ARIMA, (1,1,1) Error for NH4 from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 Partial ACF 1.0 -.5 Confidence Limits -1.0 Coefficient 1 16 3 2 Lag Number 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 24. Diagnostic Checking For Mn 2004 Error for MN from ARIMA, (1,1,1) Error for MN from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 Partial ACF 1.0 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (a) ACF Plot of Best Fitted Model Error 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 154 25. Diagnostic Checking For Mn 2005 Error for MN from ARIMA, (1,1,1) Error for MN from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 Partial ACF 1.0 -.5 Confidence Limits -1.0 Coefficient 15 14 1 3 16 5 2 Lag Number 7 4 9 6 8 11 10 13 12 15 14 16 Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 26. Diagnostic Checking For Mn 2006 Error for MN from ARIMA, (1,1,2) Error for MN from ARIMA, (1,1,2) 1.0 .5 .5 0.0 0.0 Partial ACF 1.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 -1.0 14 Coefficient 1 15 3 5 2 4 7 6 9 8 11 10 13 12 15 14 16 16 Lag Number Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 27. Diagnostic Checking For Mn 2007 Error for MN from ARIMA, (1,1,1) Error for MN from ARIMA, (1,1,1) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -.5 Confidence Limits -1.0 Coefficient 1 16 Lag Number (a) ACF Plot of Best Fitted Model Error 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 Lag Number (b) PACF Plot of Best Fitted Model Error 155 28. Diagnostic Checking For SS 2005 Error for SS from ARIMA, (2,1,2) Error for SS from ARIMA, (2,1,2) 1.0 .5 .5 0.0 0.0 -.5 Partial ACF 1.0 ACF Confidence Limits -1.0 Coefficient 1 3 5 2 7 4 6 9 8 11 10 13 12 -.5 Confidence Limits -1.0 15 14 Coefficient 1 16 3 5 2 Lag Number 7 4 9 6 8 11 10 13 12 15 14 16 Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 29. Diagnostic Checking For SS 2006 Error for SS from ARIMA, (2,1,1) Error for SS from ARIMA, (2,1,1) 1.0 1.0 .5 .5 0.0 -.5 ACF Confidence Limits -1.0 Coefficient 1 3 2 5 7 4 6 9 8 11 10 13 12 15 14 Partial ACF 0.0 -.5 Confidence Limits -1.0 Coefficient 1 16 3 2 Lag Number 5 7 4 9 6 8 11 10 13 12 15 14 16 Lag Number (a) ACF Plot of Best Fitted Model Error (b) PACF Plot of Best Fitted Model Error 30. Diagnostic Checking For SS 2007 Error for SS from ARIMA, (1,1,1) Error for SS from ARIMA, (1,1,1) 1.0 1.0 .5 .5 0.0 Partial ACF 0.0 -.5 -.5 Confidence Limits ACF Confidence Limits -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 -1.0 Coefficient 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16 16 Lag Number (a) ACF Plot of Best Fitted Model Error Lag Number (b) PACF Plot of Best Fitted Model Error