Chapter 1 INTRODUCTION ______________________________________________________________________________ 1.1 Background According to the committee of the US National Research Council defined hydrologic Science to include (1) the physical and chemical processes in the cycling of continental water at all scales as well as those biological processes that significantly interact with the hydrologic cycle, (2) the spatial and temporal characteristics of the global water balance in all compartments of the Earth system. However, this definition other scholars argue that it is not focused enough to give hydrology the unique identity that can distinguish it from other water related sciences. Dooge J.C.I. states that “The business of hydrology is to solve the water balance equation”, and quantitatively, the hydrological perspective is reflected in the water balance equation. Therefore, hydrology can be defined as the science that seeks to explain the water balance dynamics for any defined spatial (from a point to global) and temporal scale (from seconds to years) and their relationships with the physical and chemical transport of matter through the hydrologic cycle and with ecology (IAHS News letter, 1991). Since the scientific study of the components of the hydrologic cycle are being carried out by the other water related sciences it is left to the hydrologist to integrate the findings of the other sciences to explain the dynamics of the water balance of an area over any defined time period and establish their relationships to the physical and biological environments. According to Williams (Engineering Hydraulics, ed. By H. Rouse, 1950, pp. 229 “Hydrology is peculiar among the natural sciences in its dependence upon the findings of other allied sciences. These sciences are meteorology, climatology, physical geography, agronomy and geology and soil science, hydraulics, oceanography and limnology. knowledge of them all” The hydrologist must have a working Therefore it can be seen that the classification of hydrological studies according to climatic regions, tropical, temperate, polar, arid, humid), surface characteristics (urban, farmland, forest, lakes) and geology (Karst) follows naturally from the definition as they all influence the water balance characteristics of a defined area. The unnatural classification of hydrological studies 1-1 according to observation techniques (isotope hydrology, satellite hydrology), phenomenon (flood hydrology, drought hydrology) methodology (Stochastic hydrology, deterministic hydrology) and the major domain in which water moves (surface water hydrology, groundwater hydrology) can also clearly be seen. 1.2 The development of hydrology Hydrology is one of the newest of the natural sciences although history dates back as early as 1000 B.C. when philosphers like Homer, Plato and Aristotle, speculated on the concept of the hydrological cycle. Many of these philosophical concepts proved erroneous. The forerunner of the modern concept of hydrological cycle was Marcus Vitruvious who was contemporary to Christ and who stated that, the groundwater is far the most part derived from rain and snow by infiltration through the surface. In a broader sense, the various periods of development of hydrology according to Chow (1964) may be classified as follows: (a) The period of speculation (Ancient) before 1400 A.D. (b) Period of observation 1400- 1600 (c) Period of measurement 1600-1700 (d) Period of experimentation 1700 - 1800 (e) Period of mordenization 1800 - 1900 (f) Period of empiricism 1900 - 1930 (g) Period of rationalization 1930 - 1950 (h) Period of theorization 1950 - to date (i) Period of computerization 1970 - to date Prominent contributors during the 15th Century include Leonard Da Vinci and Palissy; in the 17th Century, Perrault, Mariotte and Halley whose concepts on flow and flow measurement are valid to this age. Bernoulli, Pitot and Chezy in the 18th Century made new discoveries in the understanding of hydraulic principles which greatly accelerated the beginning of hydrological studies on a quantitative basis. In the field of groundwater, Poisuille (1856), Dupuit (1863) and Thiem (1906) for the first time applied the knowledge of geology to the solution of hydrological problems. In the field of surface water, outstanding contributions were for Humphrey and Abbot (1855), Carter (1869), and Manning (1889) whose formulae helped in the systematic stream gauging. During the 1-2 1930's, the development of quantitative hydrology was substantial but still immature as it was largely empirical with the physical basis for determination of most hydrological quantities having not yet been established. As a result, solutions of practical hydrological problems were soon found to be unsatisfactory and many governmental agencies and technical societies increased their effort towards a systematic advancement of the science in hydrology. During the period of rationalization, Sherman (1932) made a distinct advance by demonstrating the use of unit hydrograph in the determination of the runoff hydrograph, by translating the rainfall excess into surface runoff. Horton in 1933 was the first to recognize the ability of the drainage basin to absorb and detain water and proposed the theory of infiltration capacity. The non-equilibrium theory introduced by Theis (1939) revolutionalized the whole concept of hydraulics of wells. With the classical theory of Einstein (1950), bed load formulation for sediment production, the physics of erosion and transport of solids by fluids were fairly well understood. His works on suspended solids (1972) and high sediment rate in alluvial rivers (1972) further gave insight to the role of precipitation falling on solid ground, partly evaporating, partly infiltrating and partly appearing as surface runoff and it is this last part of the precipitation which contributes mostly to river flow carrying suspended sediment with it. While discussing the river ecology and man (1972), he considered sediments of sizes all the way from boulders, down to the most minute clay particles including gels. According to Einstein, it is imperative that every student of river ecology familiarise himself thoroughly with the rules and laws of river hydraulics of which motion of its sediment (be it a river, a lake or an ocean) is an important factor. Among the contributions made in the recent past, mention should be made of the pioneering work of Linsley (1949) on the application of principles of hydrology to small and large watersheds, using the concept of unit hydrograph and that of Horton’s infiltration theory. Together with Crawford (1966), he developed the classical ‘Stanford Watershed Model Mark IV’ with as many as 39 hydrological variables, many of which could be used for a rigorous analysis of a conceptual model. His method of multiple regression analysis by way of co-axial graphical correlation technique is widely used to correlate annual or seasonal precipitation with the physiographic parameters of the drainage basin. Corey and Corey (1965) studied the non-steady drainage of partially saturated soils. They introduced both theoretical and experimental works on unsteady drainage of similar and dissimilar media making use of a complicated partial differential equation of the second order, with moisture-dependent diffusivity and permeability coefficients. The capillary force and effective permeability at various points would depend upon whether we work on drainage or 1-3 imbibition cycle. The process of drainage and imbibition constitute a hysteresis loop and involves pressure reversals. The study has direct bearing on the infiltration process in hydrology and explains the retention and release of moisture during the drainage cycle. To determine the effect of man-made changes on the drainage basins the use of synthesized hydrographs are in vogue which facilitates the estimation of streamflow records, calculation of runoff from ungauged stations and the calculation of extreme flood discharges from either measured of hypothetical precipitation storms. Donald (1968) presented a greatly simplified empirical method which proves valuable as an interim procedure for hydrologic analysis. The important assumption of this method is that the discharge hydrograph comprises of two major components, that is formed by storm runoff and the other formed by groundwater storage, usually called the base flow. The concept of a 24-hour unit hydrograph is introduced and the daily runoff values are synthesized using precipitation excess on a daily basis. As base flow recession curves may change with seasons the depletion curves may be varied in nature. Fleming (1974, 1975) discussed an application of systems analysis to water resources problems, citing the advantages of computer simulation and systems analysis approach in accounting for the interacting processes affecting hydrologic response of physical watershed and the integration of this response to assess and evaluate the water resource. Yevjevich (1972) introduced the application of probability theory and mathematical Statistics to hydrology. He stresses that since most hydrological processes in nature are governed by the laws of chance, the use of probability theory and mathematical statistics is unavoidable in the extraction of information from hydrologic data.. The computer era (from 1950's to date) has revolutionalized the study of hydrology and the solving of hydrology and water related problems. The computer erra has also enabled modelers to develop many different kinds of models and information management systems and Decision support systems (DSS), in order to provide solutions to water related problems. The application of GIS coupled with hydrological models in hydrology has also helped in the advancement of the science of hydrology. One of the major factor of an information management system is the ability to store, analyse and retrieve data. A GIS is a computerized mapping tool that provides flexibility, accuracy and ease of updating capabilities over conventional methods. GIS provides a cataloging of data found in tabular format. The data called attributes, describe the mapped information (Reese and others 1-4 1993). A number of GIS packages are available such as, IDRIS, ARC/INFO, ARC/VIEW, etc. Geographical Information Systems (GIS), identified by many scientists and managers as a powerful decision support tool. Important characteristics of a Decision Support System (DSS) for sustainable water resources management include flexibility for tackling various 'what-if?' scenarios, the facilitation of problem identification and solving by analytical tools enabling the end-user to manage, analyse and present information, and interaction and ease of use to involve the stakeholders into the management process themselves [Simonovic and Bender 1996]. Integrated water resources management comprises numerous complex and unstructured management problems including a geographical component. Resolving ill-structured problems, however, can be achieved by desegregating them into a series of structured components, each of which tackled with its unique set of tools [Reitsma 1996], and integrated into a comprehensive framework system. That means, Geographical Information Systems (GIS), identified by many scientists and managers as a powerful decision support tool, or physical process models alone do not constitute a decision support system [Lam 1997]. Using GIS and traditional DSS in an integrated way leads to the extended concept of SDSS, incorporating the capabilities of both GIS, which accounts for the spatial dimension of water resources management and is strong in visualisation, and DSS, which brings user assistance, models, a database, scenario-building and a generic framework into the system. According to Wurbs (1998), the concept of Decision Support System became popular during the 1980s in the water management community, as well as in business, engineering and other professional fields. Wurbs, (1998) defines decision support system as a user-oriented computer system which supports decision-makers in addressing unstructured problems. The general concept of a DSS emphasizes: (a) (b) (c) (d) solving unstructured problems which require combining the judgement of manager-level decision-makers with quantitative information. supporting capabilities to answer “what if” questions quickly and conveniently by making multiple runs of one or more models using enhanced user-machine interfaces and outputting graphically Decision support systems include a collection of software packages and hardware. The decision support system might include data management software, watershed runoff, stream hydraulics, 1-5 and reservoir system operation models, a computer platform with peripheral hardware devices and an automated real time stream flow and rainfall data collection system. Therefore, hydrological models are often used as components of a decision support . 1.3 The Hydrological cycle The natural circulation of water near the surface of the earth is illustrated in Figure 1.1. The driving force of the circulation is derived from the radiant energy received from the sun. The bulk of the earth' s water is stored on the surface in the oceans. Therefore, it is logical to consider the hydrologic cycle as beginning with the direct effect of the sun's radiation on the oceans. The heating of the ocean's surface causes evaporation, the transfer of water from the liquid to the gaseous states to form part of the atmosphere. Through a combination of favourable meteorological conditions, the water vapour changes back to the liquid state through condensation and with favourable atmospheric conditions precipitation (rain, snow etc) is produced. Precipitation may either return directly to the oceans via the land surface or may be intercepted by vegetation and the intercepted water may return to the atmosphere by evaporation. Rainfall reaching the ground may collect to form surface runoff, part of it may infiltrate into the ground. Figure 1.1 The Hydrologic Cycle 1-6 The water in the soil then percolates through the unsaturated layers to reach the water table or it is taken up by vegetation and transpired back into the atmosphere. The land phases of the hydrologic cycle have an enhanced importance in nature since evaporation is a purifying process: the salt sea water is transformed into fresh precipitation and therefore, water sources and storage on the continents consist largely of fresh water except groundwater storage which may contain dissolved salts. The above statement is sometimes not true especially in industrialized countries where they are experiencing acid rainfall problems. 1.3.1 Components of the hydrologic cycle From the introduction one can tell that the hydrological cycle has many components. The components of the hydrologic cycle are: evaporation and transpiration, precipitation, surface runoff, infiltration, sub-surface flow, and interception. 1.3.1.1 Evaporation and transpiration It has been stated earlier that the hydrologic cycle begins with the solar energy. The solar energy is the principle cause of evaporation and transpiration. With the latent heat of vaporization water evaporates from water bodies and from any wet surface. Evaporation is influenced by meteorological variables such as solar energy, air temperature, wind speed, air humidity etc. Tanspiration is that water vapour transpired by plants during the process of photosynthesis. Transpiration is influenced by climatic or meteorological factors and is a function of tree species and soil properties. Evaporation and transpiration is the source of atmospheric water vapour which is held up in the atmospheric is the form of clouds. The clouds give rise to precipitation under favourable meteorological conditions. 1.3.1.2 Precipitation Water is considered as a renewable resource due to the hydrologic cycle. Precipitation which is a result of precipitating clouds replenishes water in rivers, lakes, soil; groundwater, and in polar ice regions. Forms of precipitation are: snow, rainfall, hail, sleet, fog etc. The occurrence of precipitation is influenced by meteorological or climatic factors/variables. Globally, precipitation is unevenly distributed in space and time. Details or precipitation analysis are presented in section 3.6. 1-7 1.3.1.3 Interception Interception is that part of rainfall and or precipitation that does not reach the earth’s surface. It is that part of precipitation that get intercepted by trees and any other surfaces before reaching the ground. In dense forests, a light rain may not reach the ground at all. Therefore, interception is a function of tree species and their density. 1.3.1.4 Surface Runoff Surface runoff is that part of rainfall which runs off the earth’s surface into rills then into small streams and then into large rivers. Surface runoff only occurs when the soil is saturated with water and the rainfall intensity is higher than the infiltration rate. Surface runoff is influence by climatic factors and the physical characteristics of the drainage basin. Details of these factors are presented in section 6.1. 1.3.1.5 Infiltration Infiltration is defined as the process of water passing from the water air phase in the soil phase. Infiltration has a direct influence on runoff. Greater infiltration capacity results in smaller surface runoff, and hence, smaller peak discharges. Infiltration play an important role in the replenishment of soil moisture and groundwater. Replenishment of soil moisture is important for plant growth and groundwater recharge. Infiltration is influenced by soil type, land cover and the initial soil moisture content. 1.3.1.6 Groundwater flow As explained earlier, infiltration is that process of water passing from the air phase into the soil phase. The movement of water in the ground strata after the infiltration process is what is called sub-surface flow. Therefore, during a rain storm, the infiltration water might travel by subsurface flow and contribute to the flow in the river, or it might flow downward to the groundwater table. Sub-surface flow is very slow in comparison to the surface flow. Therefore, infiltrating rainfall may take days and even months to appear in the river and thus some rivers continue to flow even after several months of no rainfall due to groundwater contribution from the catchment or drainage basin. 1-8 Groundwater is a source of water for different uses such as irrigation, industrial, domestic water supply for urban and rural areas etc. Groundwater therefore, has a major role to play in the social economy of a country. An important advantage of groundwater over surface water as a source of domestic water supply is that it is free from bacteria pollution. This is because, water which percolates through fine-grained material is usually cleared of bacteria in short distances. However, polluted water may enter the groundwater around the top of the well casing. Therefore, sanitation precautions are necessary in order to avoid contamination of groundwater. 1.4 Water balance According to Dominquez (1997), water balance is an important tool for the design and operation of various hydraulic structures. It is also important in terms of estimating water availability, both the present and the future in different regions. The continuity or the mass balance equation is used to determine the water balance in a region within a specified time interval.The water balance equation widely used in the field of hydrology is of the form I(t) –O(t) = S / t) (1.1) Where I is the inflow, O is the outflow S/t is the rate of change in storage over a finite time step of the considered control volume in the system. The equation holds for a specific period of time and may be applied to any given system provided that the boundaries are well defined. Other names for the water balance equation are Storage Equation, Continuity Equation and Law of Conservation of Mass. Examples of water balances are the water balance of the earth surface or water balance of a drainage basin. Water balance of the earth surface The water balance of the earth surface is composed of all the different water balances that can be distinguished. It is a balance of which all components equal zero. The total inflow is zero,the total outflow is zero and the change in storage is zero. Figure 1.2 shows the water storage of the globe. The Figure shows that the oceans receive 79% of the mean annual global precipitation, and contribute 86% of the global evaporation. The continents receive 21% of the mean global annual precipitation and contribute 14% of the global evaporation. Also, 7% of the water vapour in the atmosphere is transported to the continents while 7% of the annual precipitation is returned to the oceans as runoff from the continents. The estimates of different water balances on the earth are given on Table 1.1. 1-9 (Principal water fluxes in the world water balance in 1012m3 per year) Figure 1.2 Quantitative illustration of the water storage of the globe Table 1.1 Estimates of the different water balances of the earth according to the international geophysical year(Holy, 1982) Water Occurrence Volume 103Gm3 % water World oceans 1300000 97 Salt lakes/seas 100 0.008 28500 2.14 77.6 Atmospheric water 12 0.001 0.035 Water in organisms 1 0.000 0.003 123 0.009 0.335 Water courses 1 0.000 0.003 Unsaturated zone 65 0.005 0.18 Saturated zone 800 0.60 21.8 36700 1337000 2.77 100 100 Polar ice Fresh lakes Total fresh water Total water Amount of water % of fresh water 1-10 Water balance of a drainage basin The water balance is often applied to a river basin. A river basin (also known as watershed, catchment or drainage basin) is the area contributing to the discharge at a particular rivercrosssection. The size of the catchment increases is the point selected as outlet moves downstream. If no water moves across the catchment boundary, the input equals the precipitation P while the output comprises the evaporation E and the river discharge Q at the outlet of the catchment. The water balance equation for tha catchment may written as (P-E)A –Q = S/t (1.2) where S is change of storage over the time step/t, and A is the surface area of the catchment upstream of the where Q has been measured. Figure 1.3 shows the components of the water balance on a small catchment respectively. The author has used different notation to conform to the figure given. Figure 1.3 Components of the water balance on a hillslope or a small catchment. 1-11 (P = precipitation; I = interception; AET = actual evapotranspiration; OF = overland flow; SM = change in soil moisture; GWS = change in groundwater storage; and GWR = groundwater runoff). Water balance of a lysimeter A lysimeter is a small area or container with or without vegetation for which the terms of the water balance can be accurately determined. Some lysimeters are weighable which allows a precise monitoring of the rate of change of storage. The table above contains water balances of four lysimeters in the dunes near Castricum, The Netherlands, which are averaged over a period of 25 years (1957 - 1981). The lysimeters have a surface area of 25x25 m2, a depth of 2.25 m and are covered with different types of vegetation. For the average annual water balance the change in storage in the lysimeter can be neglected. The 25 year average water balance for the summer month June shows that the amount of water in the lysimeter decreases, while in the autumn month of October replenishment of the soil moisture deficit takes place (S/t > 0). Table 1.2 Water balancess (25 year average) for lysimeters near Castricum, The Netherlands Type of land use P ANNUAL WATER BALANCE Bare Shrubs Deciduous trees Coniferous trees 841 841 841 841 WATER BALANCE MONTH JUNE Bare Shrubs Deciduous trees Coniferous trees 46.0 46.0 46.0 46.0 - E 201 480 522 691 33.4 66.8 76.6 67.0 - D 640 361 319 150 25.9 6.8 8.9 1.7 = S/t 0 0 0 0 -13.3 -27.6 -39.5 -22.7 WATER Bare 91.4 10.9 67.5 13.0 BALANCE Shrubs 91.4 27.4 23.7 40.3 MONTH Deciduous trees 91.4 27.4 10.5 53.5 OCTOBER Coniferous trees 91.4 56.3 6.5 28.6 ( P is precipitation, E is evaporation, D is drainage outflow at the bottom and S/t is the change in storage. The values are presented in mm/year and mm/month) The mean annual precipitation for the entire world is about 86cm per year and the mean annual evaporation amounts to about 86cm per year. The amounts of precipitation, runoff evaporation and other hydrologic quantities are not evenly distributed on earth either geographically or in time. Figure 1.5 shows the hydrological cycle and water storage of the globe. It can be seen from figure 1.5 that the atmosphere contains only 0.035% of all fresh 1-12 water. Ice sheets and glaciers contain 75% of all fresh water. Groundwater reservoir storage amounts to 25% while lakes, rivers and soil moisture storage amounts to 0.39%. The oceans stores 97% of all global waters. The oceans also receive 77% of the mean annual global precipitation, and contribute 84% of the global evaporation. The continents receive 23% of the mean global annual precipitation and contribute 16% of the global evaporation 1.5 Hydrological data Data collection is the sole responsibility of each nation. Usually data collection in hydrology is done by the water department in collaboration with the departments of meteorology, hydrogeology etc. Other information relevant for the execution of water resources projects are collected by all relevant sectors/ministries engaged in the use of water and land resources. The accuracy of hydro-meteorological data depends on the density of instrumentation and thus the willingness of governments to invest in data collection. Other institutions involved in data collection and analysis and/or in support of governments are: the World Meteorological Organization (WMO), WHO and UNESCO. The above organizations provide funds for the purchase of instruments and for training. The data that is required for the planning, development, operation and management of water resource schemes are physical and social economic data. It is the physical part of the information requirement that is presented here in. 1.5.1 Hydrologic data The following hydrologic information is required for planning, management and operation of water resources projects in a river basin: Streamflow (water levels, discharge), sediment discharge, precipitation etc. 1.5.2 Hydrogeologic data The required hydrogeologic information is: the extent, thickness, capacity, hydraulic characteristics, dependable yield of the aquifer, number of springs etc. 1-13 1.5.3 Meteorologic data Meteorologic data is required on variables such as: temperature, wind speed and direction, evaporation, humidity, air pressure, solar radiation etc. This information is very important in the estimation of water losses from reservoirs and consumptive use of water. 1.5.4 Water quality data The quality of water is usually defined in terms of the water's suitability for irrigation, domestic, industrial, recreation etc. Therefore, data on the following water quality parameters is required and these are: dissolved oxygen (D.O.), biochemical oxygen demand (B.O.D.), coliform, temperature, heavy minerals, suspended solids (turbidity), colour, odour, radio activity, etc. 1.6 The role of hydrology in development Hydrology is used in Engineering mainly in connection with the design and operation of hydraulic structures. Hydrology is applied to answer questions/problems such as: Is the flow of this stream sufficient to meet the needs of (a) a city or industry seeking water supply, (b) an irrigation project, (c) recreation? Would a storage reservoir be required in connection with any of the proposed uses, and if so, what should be its capacity? In the design of a flood protection system, a bridge, a culvert or a spillway for a dam, what is the maximum flood that may be expected to occur with any specified frequency? There are competing and conflicting uses of water. In the adjustment of the conflicts in water uses and for the proper solution of the many problems arising in connection with them a complete data on water resources and a full understanding of the principle of hydrology become a vital necessity. Since hydrology is a science that deals with the development and control of water resources, it has its important influence in agriculture, forestry, geography, water management, political science, economics and sociology; and it has practical applications in structural design, water supply, wastewater disposal and treatment, irrigation, drainage, hydro power, flood control, erosion and sediment control, salinity control, pollution abatement, recreational use of water, fish and wildlife preservation, insect control and coastal works. In irrigated agriculture, hydrology is used in determining the crop water requirement, estimating the available water resources etc. Hydrology is used in the planning, development, operation of 1-14 water supply schemes and management of water resources. It is also used in the control of hazardous events such as floods and droughts. Hydrology is used in the design of almost all hydraulic structures. In summary, hydrology is used in almost all sectors of the human endeavor and therefore, is important for the economic development of all nations. Figure 1.4 shows the interaction between the natural and social hydrological cycles. Figure 1.4 Combined natural and social hydrological cycles What can be seen from Figure 1.4 is the interactions of the atmosphere, surface water, ground water, seas and oceans and the society. The evaporated water from the oceans and seas, surface water and groundwater and the evapotranspiration from the biosphere is the source of moisture in the atmosphere which gives rise to precipitation. The precipitation water ends up in surface water, groundwater, in the oceans and seas and that part which is intercepted goes back to atmosphere through the evaporation process. Figure 1.4 shows the interactions of our environment (atmosphere, hydrosphere, lithosphere and biosphere) with society as part of the environment. Society which is part of the environment plays a major role in the pollution of the environment through agricultural activities, effluents from industries, effluents from domestic 1-15 water uses etc. Air, land and water are the three fragile components of the Spaceship Earth. These three components are highly integrative resources and therefore, must be properly managed in order to ensure adequate public health, food supplies and transportation. The quality of life is directly dependent on how well these resources are planned and managed for sustainable development. Reference 1. Corey, G.L., Corey, A.T. and Brookes R.H. 1965. Similitude for non-steady drainage of partial saturated soils. Hydrology paper of Colorado State University, U.S.A. pp. 1-38 2. Donominquez, R. 1997. Water Balance in Hydrological Basins. Water International, Volume 22, No.3, pp168. 3. Einstein, H.A. 1972. Sedimentation (suspended solids). River Ecology and Man. Academic Press Inc. Nwe York, pp. 309-318. Fleming, G. and Rowntree, K. 1975. Mannual on application of systems analysis to problems of irrigation, drainage and flood control. Report of the I.C.I.D. pp. 7-74 Linsley, R.K., Kohler, M.A. and Paulhus, J.L. 1975. Hydrology for Engineers. McGraw-Hill book company, New York. Shaw, E.M. 1983. Hydrology in Practice. Van Nostrand Reinhold (U.K.) Ven Te Chow 1959. Handbook of Applied Hydrology. Mcgraw-Hill book company, 4. 5. 6. 7. 8. New York. Sections 1-14. Walling, D.E. 1974. Suspended sediment and solute yields from small catchments prior to urbanization. Fluvial process in instrumental watersheds. Publication No. 6. The Institute of British Geographers. Pp.169-192. 1-16 1-17