1 Effects of landuse change on the hydrologic regime of the Mae Chaem river basin, NW Thailand. P. Rattanaviwatponga, J. Richeyb,* , D. Thomasc, S. Roddab, B. Campbellb , M. Logsdonb a b Chemical Engineering, University of Washington, Seattle, Washington 98195, USA School of Oceanography, University of Washington, Seattle, Washington 98195, USA c World Agroforestry Center ( ICRAF), Southeast Asia Regional Programme, Chiang Mai, Thailand Received Accepted Abstract Upland shifting cultivation, upland commercial crops, and lowland irrigated agriculture are believed to be causing water resource tension in the Mae Chaem watershed in Chiang Mai, Thailand. In this paper, we assess hydrologic regimes and buffering characteristics of the Mae Chaem River with land-use change. Three plausible future forest-to-crop expansion scenarios and a scenario of crop-to-forest reversal were developed based on the landcover transition from 1989 to 2000, with emphasis on influences of elevation bands, irrigation diversion and soil compaction. Basin hydrologic responses and river buffering indicators were simulated using the Distributed Hydrology Soil Vegetation Model (DHSVM). Meteorological data from 6 weather stations inside and adjacent to the Mae Chaem catchment during the period 1993-2000 were the climate inputs. Computed stream flow was compared to observed discharge at Kaeng Ob Luang, located downstream from the district town in Mae Chaem, and to hydrologic simulations by the GenRiver model. We observe altitudinal increase in evapotranspiration and soil moisture. With current assumptions, expansion of highland crop fields led to increasing unregulated annual and wet-season water yields and lowered buffering indicators, compared to similar expansion in the lowland-midland zone. Actual downstream water availability and stream peak flow were sensitive to irrigation diversion. We did not detect significant difference after accounting for soil compaction. This modeling approach can be a useful tool for water allocation * Corresponding author. Tel.: +206-543-7339; fax: +206-685-3351 Email address: jrichey@u.washington.edu (J.E.Richey) 2 and flood forecasting for small catchments undergoing rapid commercialization, because it alerts land managers to the potential range of water supply in wet and dry seasons, to river buffering characteristics, and to spatial distribution of basin moisture storage behaviors. Keywords: Crops; Deforestation; Watershed hydrology; Landuse change; Northern Thailand; Stream flow; Resource management 1. Introduction Landscape and water resource management are major challenges for socio-economic development of upland watersheds in Southeast Asia due to their association with downstream environmental impacts. During recent decades, concerns about the impact on water resources of changing patterns of land-use associated with deforestation and agricultural transformation have created social and political tensions from local to national levels. In response, public policy decisionmaking processes are now seeking both economic and conservation goals. Major concerns focus on consequences of land-use change for water supply and demand, for local and downstream hydrological hazards, and for biodiversity conservation. Walker (2002-a) cites numerous sources of views that logging, shifting cultivation by mountain ethnic minorities, and commercial agriculture in highland watersheds are believed to cause severe dry-season water supply shortages in northern Thailand. Ziegler et al. (2004) refers to studies by Sharma in 1992 and by Tuan in 1993, which conclude that similar types of land-use activities in highlands of Vietnam result in watershed degradation such as soil and nutrient loss. Controversy over the eight-dam hydropower cascade system on the Lancang river of the upper Mekong basin in China is an example at a wider scale where potential effects on downstream river flows and sediment transport are an international issue for the five countries sharing the lower Mekong river. Water demand is the other side of the equation, as it also places constraints on water availability. Dynamics of water use also relate to land-use change, especially through expansion of lowland cultivation, irrigated upland fields, urban areas, and industrialization. Walker (2002-b) points out that public debate is mostly centered on consequences of highland activities on water supply, but 3 there is little focus on increasing levels of stream water diversion by lowland dry-season irrigated agriculture. In this paper, we seek to evaluate seasonal patterns and the composition of hydrologic components of the Mae Chaem River in northern Thailand. The second objective is to assess effects of land-use conversion between forest and croplands on the composition of basin hydrology, on water availability in terms of annual and seasonal water yields, and on the buffering capacity of river discharge. Specifically, we assess the influence of elevation bands of agricultural fields (highlands versus lowlands), irrigation diversion, and soil compaction. These goals are achieved through use of the Distributed Hydrology Soil-Vegetation Model (DHSVM) to simulate water components in the basin, based on past, current, and hypothetical future land-use scenarios. Scenario analysis eliminates interpretation problems associated with direct comparison of stream flow in paired watershed analyses where basins have different underlying geological settings (Brunijnzeel, 2003). Some simulation results are also compared to those from the Generic River Flow (GenRiver) model. 2. Mae Chaem basin: the study area The Mae Chaem (Chaem River) watershed is located in Chiang Mai province of northern Thailand (Fig. 1). It is a major upper tributary sub-basin of the Ping River, which in turn, is the largest tributary of central Thailand’s Chao Phraya River. The Mae Chaem sub-basin is bounded by o o o o 2 coordinates 18 06’ - 19 10’ N and 98 04’ - 98 34’ E, and includes a total area of 3,853 km above the Royal Irrigation Department (RID) river gauge station P.14. Sharp relief and forest vegetation (and relatively sparse data) characterize the Mae Chaem. The basin has a wide range of elevation, from 282 m.a.s.l. at its lowest point to 2,535 m.a.s.l. at the summit of its highest peak, Doi Inthanon (Mount Inthanon) (Kuraji et al., 2001). Altitude variation induces different climatic zones with distinctive types of natural land cover. Dominant vegetation includes dry dipterocarp and mixed deciduous forests below 1,000 m.a.s.l., tropical mixed pine forest from 900 – 1,500 m.a.s.l. alternating with hill evergreen forest that extend up to 2,000 m.a.s.l., and tropical montane cloud forest above 2,000 m.a.s.l. (Dairaku et al., 2000; Kuraji et al., 2001). Steep hillsides with slopes exceeding 25% are 4 a common landscape element, resulting in rates of natural soil erosion that prevent advanced soil development. Thus, soils are relatively shallow and have limited water-holding capacity (Hansen, 2001). Dominant soil textures are sandy clay loam and clay loam. The population of Mae Chaem is ethnically diverse and distributed among numerous small villages. The majority Karen and the Lua ethnic groups live primarily in mid-elevation zones between 600 to 1,000 m.a.s.l., with some communities extending into higher elevations. Ethnic northern Thai (khon muang) villages are mostly clustered in lowland areas below 600 m.a.s.l., whereas Hmong and Lisu ethnic groups live mostly in highland villages located above 1,000 m.a.s.l. Land use patterns in Mae Chaem have undergone substantial change during the past several decades. As recently as the 1960s the agriculture mosaic was comprised of highland (above 1,000 m.a.s.l.) pioneer shifting cultivation that often included opium, mid-elevation (600-1,000 m.a.s.l.) rotational forest fallow shifting cultivation with a decade long fallow period, and paddy and home garden-centered cultivation in the lowlands (van Noordwijk et al., 2003; Thomas et al. 2002; Walker 2002-b). In the 1980s, development projects and programs in Mae Chaem began building infrastructure and promoting commercial agriculture, under programs to reduce rural poverty and promote alternatives to opium cultivation and shifting agriculture. Results have included significant increases in production of highland cash crops such as cabbages and carrots, expansion of industrial field crops such as soybeans and maize up watershed slopes above lowland paddies into mid-elevation zones, expansion of irrigated paddy fields wherever terrain allows, and planting of fruit orchards in some areas of all altitude zones (Praneetvatakul et al., 2001; Pinthong et al., 2000; Thomas et al. 2002; Walker, 2002-b). 3. Development of geospatial landscape and hydrology model 3.1 Development of the geospatial model of the Mae Chaem basin 3.1.1. Topography and flow network Topography for the Mae Chaem basin was initially acquired as a 30-meter digital elevation model (DEM) constructed by the World Agroforestry Centre (ICRAF), Chiang Mai. This 30-meter DEM was then aggregated to 150-meter0 resolution (Fig. 2) using a mean calculation. Flow direction, 5 flow accumulation, and stream network were derived from the DEM at 150-meter resolution. Soil depth was generated by DHSVM, based on the DEM, and was adjusted during model calibration. 3.1.2. Soil map and attributes Soil data in Mae Chaem are very sparse and restricted to the lowlands. Therefore, a soil map containing physical and chemical properties was constructed using SOILPROGRAM software, which derives 5-minute resolution (about 10 km.) soil data from the WISE pedon-database developed by the International Soil Reference and Information Centre (ISRIC) and the FAO-Unesco Digital Soil Map of the World (FAO-1974 legend). The soil map was re-sampled to 150-meter resolution, with the number of soil types equal to the number of unique values of physical and chemical soil properties. Soil texture was assigned based on the percent sand and clay. Porosity and field capacity were estimated from the soil texture triangle hydraulic properties calculator (Saxton et al., 1986). Infiltration rates and soil depth were quantified using a local descriptive soil survey (Putivoranart, 1973), and was adjusted during calibration. 3.1.3. Vegetation and land use: 1989, 2000, future Two landcover datasets (Fig. 3) form the basis for the landcover change scenarios in the hydrology model. The original classification schemes of these data (Fig. A1 and A2) vary significantly, so scheme modifications were made to achieve similarity between landcover data. The first dataset in the land cover time series is a historical 1989 dataset, acquired from the Land Development Division (LLD), Ministry of Agriculture and Cooperatives, Thailand. This data, subsequently referred to as Veg 1989, originated as polygons, which were converted to a 150-meter raster grid representation using a nearest-neighbor assignment algorithm. Data were then generalized into 11 classes from its original 39. The second dataset represents landcover for the year 2000, referred to as current landcover or Veg 2000. This dataset, also from the LDD, was prepared for the model using the same procedure as that of the 1989 data. However, since the original 47 class names in this dataset differed from those in the 1989 data, class names were reconciled by performing a 6 combinatorial analysis between the 1989 reclassified dataset and the 2000 original data. In this way we were able to establish a correlation between the 11 classes in 1989 and the 47 original classes in 2000. This type of spatial overlay analysis returns not only the frequency of all unique combinations of land cover types, but also a map product of the spatial commonalities. A plot was made to identify the frequency of occurrence between a 2000 value (1 to 47) and a 1989 value (1 to 11). Based on this plot, the 2000 vegetation values were re-assigned a value consistent with the frequency distribution of shared space with the 1989 dataset. Veg 2000 is employed as the reference land-use case, and four future scenarios (Fig. 4) were created based on the transition from Veg 1989 to Veg 2000, with a focus on forest-to-crop conversion. The first scenario represents reversal of all croplands back to evergreen needleleaf forests in zones above 1,000 m.a.s.l., and to deciduous broadleaf forests below 1,000 m.a.s.l. Selected forest types were generally in accord with actual dominant vegetation in the respective elevation zones. The second scenario forecasts the doubling of cropland area in Veg 2000 by growing a buffer of new crop cells around all existing crop patches. This ultimately increased the cropland share of total basin area from 10.4% in 2000 to 19.9%. Finally, the third and fourth scenarios depict a doubling of cropland that is limited to either highland zones of the basin (above 1,000 m.a.s.l.), or to lowland and midland basin zones (below 1,000 m.a.s.l.). Growth of croplands limited to highland and to lowland-midland basin zones increased cropland shares of total basin area to 18.0% and 19.1%, respectively. In both cases, a buffer was grown around existing crop patches in the selected elevation range, while crop cell area outside the selection remained the same as in 2000. 3.2. Climate Forcing and Hydrology The climate of this mountainous basin is defined by large variations in seasonal and annual rainfall that are influenced by tropical monsoon and maritime patterns (Walker, 2002-a), whereas the orographic effect induces an altitudinal increase of spatial rainfall distribution (Dairaku et al., 2000; o Kuraji, et al., 2001). The average annual temperature ranges from 20 to 34 C and the rainy season is from May to October. 7 To best represent climatic variation within the catchment, we used daily rainfall, and maximum and minimum air temperature records for the period of 1993-2000, which were obtained from five meteorological stations and one agro-meteorological station (Fig. 5). Doi Inthanon (DO) and Wat Chan (WA) stations are operated by the Royal Project Foundation, and their recorded values were obtained from both ICRAF and the Royal Project Foundation. The Research Station (RE) belongs to the Asian Monsoon Experiment-Tropics (GAME-T), led by the University of Tokyo in Japan under the Global Energy and Water Cycle Experiment (GEWEX). Mae Jo Agromet (TMD327301), Mae Hong Son (TMD300201), and Mae Sariang (TMD300202) stations are managed by the Thai Meteorological Department (TMD). Data for these stations were acquired directly from the respective agencies. The hydrology model runs on a sub-daily time step. Thus, disaggregated temperature, radiation, and relative humidity are generated from daily records using a diurnal interpolation scheme from the Variable Infiltration Capacity (VIC) model (Liang et al., 1994; Maurer et al., 2002). Total daily rainfall was evenly distributed through sub-daily intervals. Calculated 3-hour precipitation values in 1998 – 2000 were then replaced by observed records for all TMD stations. Wind speed was assumed to be 2 m/s for all stations except RE and TMD327301, where actual daily wind speed records are available. The Mae Chaem hydrologic regime consists of high flow from May to October and base-flow from November to April (Fig. 6), contributing 70% of the total flow and an average annual water yield of 270 mm (we consider the water year to begin in November of the year previous to the year cited). Due to the strong orographic effect on precipitation (Fig. 7), the surface runoff ratio could be between 12 – 25%, depending on selection of reference rainfall stations and the interpolation scheme. Van Noordwijk et al. (2003) and Walker (2002-a) provide thorough discussions on the long-term rainfall-discharge relationship in Mae Chaem. For model calibration and testing, 1989 – 1999 daily average stream flow measurements were acquired from GAME-T for the basin outlet at Kaeng Ob Luang (gage P.14), operated by the RID. The estimated daily discharge from the stage height observation in 2000 was obtained from the RID Hydrology and Water Management Center for the Upper Northern Region. 8 3.3. DHSVM: the hydrology model To examine problems at this spatial scale, we use the Distributed Hydrology Soil Vegetation Model (DHSVM) (Wigmosta et al., 1994), a regional-scale hydrologic model that can recognize the spatial heterogeneity of the watershed. The model can be seen as a multi-layered representation of characteristics and processes in a drainage basin that allows us to examine intersections of the data required for describing both the basin’s topographic features and its climatology patterns. DHSVM is intended for small to moderate drainage areas (typically less than about 10,000 km2), over which digital topographic data allows explicit representation of surface and subsurface flows. DHSVM is utilized for stream flow forecasting and for addressing hydrologic effects of land management or of climate change. It is tested on several basins in the USA (Bowling et al., 2000; Bowling and Lettenmaier, 2001; Storck, 2000; VanShaar et al., 2002) and in British Columbia (Schnorbus and Alila, 2004). The model simulates soil moisture, snow cover, runoff, and evapo-transpiration on a sub-daily time scale. It accounts for topographic and vegetation effects on a pixel-by-pixel basis, with a typical resolution of 30 to 150 m. Snow accumulation and snow melt are calculated by a two-layer energybalance model. Evapo-transpiration follows the Penman-Monteith equation. The multi-layer soil column in each pixel is a series of soil moisture reservoirs, and saturated sub-surface flow exists only in the deepest soil layer. Runoff generation is represented by saturation excess and infiltration excess mechanisms. Stream water balance was derived using Linear-reservoir routing. The hydrology model sets requirements for the climate data model and the landscape model based on basin characteristics. 3.3.1. Simulation conditions The spatial domain was partitioned into 150-meter grid cells, and 3-hourly-timestep simulations were run on the current landcover (Veg 2000), using climate data from June 1993 - May 1995 for calibration, and from June 1995 - October 2000 for model testing. Climate data across the basin was computed from data of the 6 meteorological stations using a nearest-station interpolation. The soil profile is divided into 3 root zones, 0-30 cm, 30-60 cm, and 60-100 cm. Lateral subsurface 9 flow was calculated using a topographic gradient. In the routing scheme, roads were not included, and stream classification was based on Strahler stream order and segment slope, derived from the DEM. Temperature and precipitation lapse rates were assumed constant for the entire catchment. After the initial run, the approximate amount of irrigation diversion was subtracted from simulated stream flow at the basin outlet, and then calibrated and tested against daily discharge observed at station P.14. To observe seasonal and inter-annual variability of hydrologic responses, and to study effects of land-use change, the same set of climate data and parameters were used for all vegetation scenarios, both with and without irrigation. For future scenarios II, III, and IV, two sets of soil conditions were applied. The first condition was consistent with soil properties of other scenarios and the second reflected soil compaction by altering properties of the top-soil layer. In the latter, bulk 3 density was assumed to be 1800 kg/m , the typical value that interferes with root growth for crops grown in clay loam, and soil porosity was adjusted accordingly. The soil infiltration rate and vertical hydraulic conductivity were reduced to 50% of calibrated values. In all cases, the soil matrix was considered uniform and did not have a preferential flow path. When irrigation was considered, daily irrigation consumption was calculated and subtracted from computed daily discharge to account for water diversion to irrigated area. Crops were divided into 3 categories based on their water demand: wet season rice, dry season rice, and cash crops (Table 1). Irrigated area was approximated from the number of pixels of each crop type in the original 1989 and 2000 landcover data sets (Fig. A1 and A2). Percentages of total irrigated areas in the basin in 1989 and 2000 were used to project a range of potential irrigated areas in the future scenarios. The following assumptions were made in calculating irrigation diversion: First, only 1/8 of the area designated as swidden cultivation in the original classification scheme was used for irrigated cropping. Second, for general field-crop classes, half of the area was wet-season rice and the other half was cash-crop; the composition of incremental cropland in future scenarios was divided in the same manner. Diverted water was set equal to crop water demand, and this amount was then added to simulated evapo-transpiration to maintain the water balance. Table 2 summarizes all simulation conditions. 10 3.3.2. Calibration and validation Calibration parameters were total soil depth, soil lateral and vertical hydraulic conductivities, and vegetation parameters. Values of vegetation parameters were initially set to correspond with Global Land Data Assimilation System (GLDAS) vegetation parameters mapped to the University of Maryland (UMD) classification scheme, and were then tuned to northern Thailand based on forest description by Gardner et al. (2000). Precipitation and temperature lapse rates were approximated from linear regression of daily precipitation and temperature records and elevation gain. Final calibration parameters are listed in Table 3. Simulated hydrographs from May 1994 – October 2000, before subtracting irrigation diversion, using Veg 2000 were compared to observed stream flows at gage P.14 (Fig. 8-a). Data from May 1993 – April 1994 were excluded from the comparison because they were used in the start up period. The model captures the on-set of the storm season, and estimated average wet-season flows were relatively close to recorded values (Fig. 8-b). The average natural base flow was underestimated, and the difference was higher for dry-seasons that follow a wetter storm season (Fig. 8-c). This is not surprising since the model does not include deep groundwater components. In terms of percentage deviation of prediction from observation within a season, the model is more consistent in estimating daily dry-season flows, compared to wider-scattering in values of wet-season flows (Fig. 8-d). Thus, we can infer that prediction accuracy is governed by climate inputs during the storm period, whereas factors describing soil moisture storage and water transmission behavior dominate during the dry season. In other words, model performance depends on input data, operational parameters and operational procedure. Rainfall measurement and appropriate basin-wide meteorological data interpolation from weather station records are critical due to strong orographic effects. Estimation of sub-daily climate input functions from daily data records is another source of uncertainty. In terms of operational parameters, the simulations were sensitive to soil lateral hydraulic conductivity and soil depth. 11 4. Hydrologic flow paths: current conditions and scenarios Highland watersheds play an important role on controlling the streamflow regime (Tangtham, 1998) and its hydrologic behaviors, such as water yield and runoff generation, depend on the vegetation cover, soil and geologic setting. We will evaluate the hydrologic response to the current land cover and to the effect of forest-to-crop conversion in terms of the water yields and spatial variation of soil moisture and evapotranspiration inside the basin. In addition, we analyze the evenness of stream flow, represented by the buffering capacity of stream discharge relative to the rainfall peaks, and the indicators of high peak discharge (van Noordwijk et al., 2003). These two factors tell us how a river will respond to heavy storms regarding flooding potential. 4.1. Hydrologic dynamics under current conditions For current conditions, the predicted values of basin hydrology were also compared to those computed from the physically-based GenRiver model on Mixed-Landuse Scenario. The model description, input data and landcover data set were described in the paper by van Noordwijk et al. (2003). 4.1.1. Water yields and river buffering indicators The runoff mechanism was mainly the sub-surface flow and no overland flow was produced. High flow comprises 70% of total flow (Table 4) the surface runoff makes up about 20% of total rainfall (Table 5). Predicted annual yields from DHSVM, accounting for irrigation, were 20% and 10% lower than observed and calculated values from GenRiver, respectively, due to lower estimate for base flow. However, the magnitude of forecasted low flow was sensitive to the approximation of irrigation consumption, and will be discussed in section 4.2. In terms of river buffering capacity, the buffering of Mae Chaem river decreases as the basin water yield increases (Fig. 9-a). However, we do not observe significant correlation of high peak discharge to the surface runoff ratio over 6-year period (Fig. 9-b). 12 4.1.2. Evapotranspiration and soil moisture Simulated average annual evapotranspiration was 760 mm, corresponding to 80% of basinwide estimated precipitation. Evapotranspiration was highest during June to September and reached minimum values in January and February (Fig. 10-a). The seasonal trend is positively correlated with rainfall seasonality. Spatially, soil moisture was high near ridge areas and values were lower in lowlands (Fig. 11). Vertically, the deeper soil layer (60 - 100 cm) was moister and moisture storage was less sensitive to precipitation level than in the upper layer (30 - 60 cm). The spatial pattern of evapotranspiration also shows higher values on watershed boundaries and less along the main channel path. Direct observation indicates that soil moisture dynamics may follow spatial variation of rainfall across the basin. To analyze if spatial relationships exist, basin elevation data was categorized into 5 zones, and zonal means of soil moisture and evapotranspiration were computed. Results showed an altitudinal increase in soil moisture (Fig. 12) and evapotranspiration (Fig. 13). Gaps in soil moisture differences between lower and higher elevation zones were more significant during heavy rain, but the reverse was true for the evapotranspiration. Seasonally, soil moisture was more static in the lowland-midland zone, whereas in the highlands it followed the precipitation profile. In contrast, evapotranspiration was dynamic in all elevation bands. In summary, sub-surface flow was the main source of Mae Chaem river discharge, and sensitivity to individual storms is due to short travel times caused by steep topography. The soil column is relatively dryer in the lowlands, with less precipitation and less evapotranspiration. High interannual variability during 1995-2000 resulted in simulated runoff ratios ranging from 0.15-0.25, and buffering indicators decreased with increasing discharge fractions. 4.2. Effects of land-use change on hydrologic responses The most important concerns regarding forest-to-crop land-use change relate to water availability during the dry season and to potential downstream flooding hazard. Thus, we compared buffering indicators and high peak flow responses among scenarios, as well as change in basin 13 moisture storage behavior. Scenario analysis based on the same climate forcing data limits the focus of hydrologic change to only the influence from long term land-use change and excludes short-term variation due to seasonal fluctuation. 4.2.1. Conversion from forests to croplands and influence of irrigation diversion. Under the current set of model parameters, we demonstrated that increased croplands caused greater natural (unregulated) seasonal and annual water yields, and lower evapotranspiration (Table 6) compared to simulation using Veg 2000. The opposite trend was true when croplands were converted to forests as in Scenario I. Highland crop expansion (Scenario III) yielded the highest annual and wetseason water yields, while doubling of crop areas in lowland-midland zones (Scenario IV) resulted in approximately the same water yields as under Veg 2000. If crops were converted back to forests (Scenario I), the basin will provide less unregulated stream flow, and lose more water through evapotranspiration. More forest increases river buffering capacity (Fig. 14-b) and yields a higher range of discharge fractions. On average, expanded lowland-midland cultivation results in higher buffering indicators and lower peak flows than the highland counterpart (Fig. 14-b, Fig. 14-d). The magnitude of differences in stream flow behavior among scenarios depends on the approximation of irrigation diversion. Low-season flow is a volatile component and available yield at the basin outlet varies from 62% of regulated flow under Veg 2000, to 55% under Scenario III, and to 46% on Scenarios II and IV. Wet-season discharge is less sensitive and the flow remaining after diversion is about 90% in each case. Evapotranspiration is 5% higher than the non-irrigated case for Veg 2000, and about 8% higher for Scenarios II - IV. Crop-to-forest conversion clearly has the highest buffering indicators, and lowest peak flow indicators. Overall, irrigation diversion decreases by 20% the rate of reduction in natural flow-buffering indicators with incremental discharge fractions. Among crop expansion scenarios (Fig. 14-a), Scenario IV has, on average, higher buffering indicators on a lower range of discharge fractions, and has a 13% greater rate of decrease in buffering indicators than does Scenario III. Scenario II provides results that fall in the middle of those from Scenario III and IV. Trends among forest-to-crop scenarios are similar for relationships of highest flow fractions and runoff ratios (Fig. 14-c). 14 We calculated zonal means of soil moisture in the upper soil column (30-60 cm depth) in each elevation band in Scenario III and IV and compared the results to those of Veg 2000, on a 3-hour period of dry (Table 7), and wet (Table 8) days, to analyze if the signal of vegetation composition change stands out. No significant differences were observed between scenarios on both time periods. The zonal means based on vegetation types, limited to each single zone of elevation band were also compared. The results were indifferent and were not reported here. 4.2.2. Soil compaction Forecasted natural annual and seasonal water yields increase by an average of 3% for all scenarios (Table 9) when soil infiltration rate and top-soil hydraulic conductivity are reduced to half of calibrated values. Estimated evapotranspiration, runoff ratio, buffering indicator, and highest monthly flow remain about the same as for non-compacted cases. Again, Scenario III provides the highest annual and seasonal yields. 5. Discussion 5.1. Effects of topography and vegetation types on hydrologic patterns Mae Chaem’s simulated runoff mechanism is primarily sub-surface driven, so that the basin acts like a pump, with about 75-80% of input rainfall returning to the atmosphere as evapotranspiration. Ziegler et al. (2000) conducted experiments to generate runoff and sediment flow on unpaved roads, foot paths and agricultural land surfaces in a nearby sub-basin, and found that overland runoff was rarely generated from hoed fields and none from fallow fields. Runoff production depends on infiltration characteristics (Ziegler et al., 2004), antecedent soil moisture, the conductivity through the soil, and rainfall depth. According to a descriptive soil survey at a site in Mae Chaem district (Putivoranart, 1973), the soil is relatively well-drained and has moderate water holding capacity. Tangtham (1998) also found that tropical mountainous soils usually have infiltration rates above 130 mm/hr and high permeability. This may explain why overland flow was not generated. Estimated runoff ratios were consistent with the 15-25% runoff ratio published in Alford’s study of annual runoff in mountainous regions of northern Thailand (1992). 15 Seasonal and annual patterns of evapotranspiration integrate effects of air temperature, relative humidity, and vegetation. Each vegetation type differs in root depth, surface albedo, leaf area index, stomatal and aerodynamic behavior (Giambelluca, 2002; Giambelluca et al., 2003), and these factors govern potential evapotranspiration. Estimated monthly evapotranspiration was comparable to literature values (Table 4) and the trend was similar to simulations by the GenRiver model (van Noordwijk et al., 2003) (Fig. 10). The difference in magnitudes was partly due to the discrepancy in estimated basin-wide rainfall. Spatial variation of soil moisture and evapotranspiration follows altitudinal patterns and is dynamic. During the wet season, topographic effects dominate and homogeneous profiles of both hydrologic components were observed. On the other hand, the influence of local plants and soil characteristics are clearer during the dry season. 5.2. Impacts of forest-to-crop conversion Based on future scenario analysis, effects of land-use change on seasonal and annual water yields are a net balance of change in basin moisture storage size, vegetation pumping effects, and flow regulation. Tropical forests have higher evaporation from rainfall interception and transpiration than other landcover types, especially in northern Thailand where forests are referred to as ‘pumps’ rather than ‘sponges’ (Bruijnzeel, 2004). Consequently, forest-to-crop conversion reduces pumping effects due to lower evapotranspiration rates, releasing more water out into streams. This assumes that agricultural practices do not cause significant soil compaction, which lowers infiltration rate and hydraulic conductivity. Soil compaction typically increases infiltration-excess overland flow, reduces the size of basin moisture storage, and induces slower travel time of sub-surface water to a river channel. Since overland runoff rarely occurs on simulations and observations, soil compaction appears to be the least important factor in water yield dynamics. We find no evidence to support the notion that selected soil compaction conditions alter hydrologic behavior at the whole-catchment scale. Irrigation diversion is the most direct influence on discharge magnitude, and it causes significant difference on potential ranges of water yields among vegetation scenarios. Thus, discharge 16 magnitude is sensitive to assumptions on the percentage of area irrigated, crop types, and crop water needs. Crop field expansion in the highlands (> 1,000 m.a.s.l.) transmitted more natural sub-surface lateral flow than lowland-midland expansion. Changes in spatial soil moisture distribution were not detected, however, due to orographic effects that produce more excess soil moisture in the highlands, which percolates through well-drained soils. Accumulation of water as it moves downslope toward the river channel is observable, whereas soil moisture storage is a state of the basin and change is more difficult to capture over snap shots in time. Furthermore, the fraction of landuse-change parcels is so small compared to the total area in an elevation band that change in soil moisture did not affect the zonal mean. The implications of increased peak flow are for potential flooding from the main channel rather than from overland flow. Lowland-midland expansion provided more even stream flow, both seasonally and annually, in this setting. 5.3. Model performance: comparison with GenRiver and IHACRES models Previous hydrologic modeling and scenario analyses in the Mae Chaem basin includes simulation on gauged and ungauged sub-basins using the IHACRES metric-conceptual rainfall-runoff model by Schreider (2002) and Croke et al. (2004), and simulation of the whole basin by van Noordwijk et al. (2003) using the physically-based GenRiver model. While the conceptual model uses only a few input parameters, the parameters for each sub-basin need to be calibrated individually and spatial variability of the specified land cover change was not testable. Flow prediction at the Mae Chaem basin outlet was not executed due to sparse input data, and Croke pointed that this limitation makes use of a physically-based model inapplicable. In contrast, we believe the physically-based approach is appropriate for this scale, and the distributed feature allows us to adjust calculation based on the availability of data and level of complexity. Simulated total basin rainfall and results from DHSVM were compared to those from GenRiver as another test of model reliability. The dynamics of rainfall and evapotranspiration (Fig. 10) were relatively well-correlated (Pearson’s r = 0.94 and 0.88 respectively). Water yields and river buffering characteristics were in the same magnitude (Table 5 and Fig. 9), except for dry-season yield. 17 Estimation of basin-wide rainfall in each model appears to be an important factor in differences between simulation results, as seen in the amount of monthly rain used in GenRiver versus in DHSVM (Fig. 10-a). The SpatRain model which generates rainfall for the GenRiver model accounts for local patchiness of rainfall events, spatial rainfall intensity based on the inverse distance from the core of the storm, and elevation effects. Consequently, its accuracy relies on long-term statistics of rainfall patterns from reference stations. On the other hand, the current setting of DHSVM depends on orographic effects and interpolation from weather stations. Performance of both models should be similar on seasonal and annual scales, due to the highly fluctuating nature of basin rainfall behavior. If the purpose is to evaluate basin response to individual storm events, however, we would expect to see more dramatic differences in prediction. Another factor contributing to differences in model performance is the lack of slow subsurface flow in DHSVM. Spatially distributed soil moisture or other soil hydraulic field measurements are necessary to check the accuracy of model predictions. On the other hand, once the model is calibrated, the advantage of a physically-based approach is that the final parameter set is transferable, and little adjustment is required to start a new application in similar geological settings. The strength of a distributed model is its ability to identify if spatial or spatially-explicit relations exist among model input and output parameters. Examples of applications include examination of effects of elevation bands in conjunction with connectivity among same-land-use patches, proximity of agricultural fields to streams, or adjacency of certain landcover types. In this paper, we identified altitudinal increases in soil moisture and evapotranspiration. 6. Conclusions Land-use change in Mae Chaem has largely featured agricultural transformations in different altitude zones. Highland pioneer shifting cultivation has been replaced by expanded permanent fields producing commercial horticultural crops, often with seasonal sprinkler irrigation. While some midland rotational forest fallow shifting cultivation systems remain, others have been replaced by rainfed permanent plots producing subsistence and commercial field crops. Irrigated paddy has expanded where terrain allows, and lowland agriculture has increased dry season water use for 18 irrigated rice, cash crops and fruit orchards. The DHSVM hydrology model was used as a tool for analyzing impacts of forest-to-crop conversion, and vice versa, on basin hydrology and water availability at the basin outlet, resulting in the following conclusions: 1. The utility of a spatially-explicit, process-based analytical modeling environment is demonstrated by its ability to reproduce hydrographs across a range of conditions, in a basin where data are relatively sparse. At a minimum, the efficacy of the model as an intelligent data-interpolation engine is clear. That the model does as well as it does implies that the constituent dynamics are relatively well-understood and some confidence can be placed in the quantitative implications of scenarios. This modeling approach can be useful in assessing the influence of spatial configuration or fragmentation of landcovers. 2. Topography is the primary factor controlling climatic, vegetation, and, consequently, spatial variation of Mae Chaem’s hydrologic components. We found altitudinal increase in soil moisture and evapotranspiration. 3. The basin hydrology is sensitive to changes in landcover attributes, with a general pattern of increasing runoff with migration from trees to crops due to decreasing evapotranspiration. As there is no evidence that soil compaction in agricultural fields has significantly altered overall infiltration rates, rainfed upland agriculture, especially in the midland zone, does not appear to result in lower water availabilities downstream. 4. Irrigation has a counter effect by withdrawing water, and its overall impact will relate to its seasonality, and to water use efficiencies of the crops, irrigation systems, and management regimes employed. 5. Highland crop expansion (>1,000 m.a.s.l.) may lead to lower buffering indicators, higher peak flow, and higher seasonal and annual yields. This is due to increased water yields resulting from reduced evapotranspiration. Since the increased water percolates through well-drained soils, primary implications are for downstream main channel flooding rather than increased overland flow, and extractions for irrigation may reduce downstream impacts. 19 Acknowledgements This work was supported in part by the Bank Netherlands Partnership Program. Findings and interpretations are those of the authors and do not necessarily reflect the views of the World Bank, its Executive Board of Directors, or the countries they represent. The work was further supported by the U.S. National Science Foundation and the SEA/BASINS Program of the University of Washington and Chulalongkorn University, the Mekong River Commission, and the Puget Sound Regional Synthesis Model. Meteorological and stream flow data were provided by the Thai Meteorological Department, the Royal Irrigation Department, the Royal Project Foundation, and the GEWEX-Asian Monsoon Experiments (GAME)-Tropics. The soil descriptive survey was available from the Land Development Department of Thailand. The authors thank Meine van Noordwijk for sharing input data and simulation results from GenRiver model and supporting documents of SpatRain and GenRiver models. 20 References Alford, D., 1992. Stream flow and sediment transport from mountain watersheds of the Chao Phraya Basin, northern Thailand: a reconnaissance study. Mountain Research and Development 12 (3), 237-268. Bowling, L.C., Storck, P., Lettenmaier, D.P., 2000. Hydrologic effects of logging in western Washington, United States. Water Resources Research 36 (11), 3223-3240. Bowling, L.C., Lettenmaier, D.P., 2001. The effects of forest roads and harvest on catchment hydrology in a mountainous maritime environment. Land Use and Watersheds: Human Influence on Hydrology and Geomorphology in Urban and Forest Areas: Vol. 2. Water Science and Application. American Geophysical Union, Washington, D.C., pp. 145-164. Bruijnzeel, L.A., 2004. Hydrological functions of tropical forests: not seeing the soil for the trees? Agriculture Ecosystems and Environment 104 (1), 185-228. Croke, B.F.W., Merritt, W.S., Jakeman, A.J., 2004. A dynamic model for predicting hydrologic response to land cover changes in gauged and ungauged catchments. Journal of Hydrology 291 (1-2), 115-131. Dairaku, K., Kuraji, K., Suzuki, M., Tangtham, N., Jirasuktaveekul, W., Punyatrong, K., 2000. The effect of rainfall duration and intensity on orographic rainfall enhancement in a mountainous area: a case study in the Mae Chaem watershed, Thailand. Journal of the Japan Society of Hydrology and Water Resources 13 (1), 57-68. Gardner, S., Sidisunthorn, P., Anusarnsunthorn, V., 2000. A field guide to forest trees of northern Thailand. Kobfai Publication Project. Chulalongkorn Book Center, Bangkok, Thailand. 20 21 Giambelluca, T.W., Ziegler, A.D., Nullet, M.A., Truong, D.M., Tran, L.T., 2003. Transpiration in a small tropical forest patch. Agricultural and Forest Meteorology 117 (1-2), 1-22. Giambelluca, T.W., 2002. Hydrology of altered tropical forest. Hydrological processes 16 (8), 1665-1669. Hansen, P.K., 2001. Environmental variability and agro-ecological stratification in a watershed in northern Thailand. Capacity Building in Biodiversity Project. Technical paper no. 2. Kuraji, K., Punyatrong, K., Suzuki, M., 2001. Altitudinal increase in rainfall in the Mae Chaem watershed, Thailand. Journal of the Meteorological Society of Japan 79 (1B), 353-363. Liang, X., Lettenmaier, D.P., Wood, E.F., Burges, S.J., 1994. A simple hydrologically based model of land-surface water and energy fluxes for general-circulation models. Journal of Geophysical Research-Atmospheres 99 (D7), 14415-14428. Maurer, E.P., Wood, A.W., Adam, J.C., Lettenmaier, D.P., Nijssen, B., 2002. A long-term hydrologically based dataset of land surface fluxes and states for the conterminous United States. Journal of Climate 15 (22), 3237-3251. Pinthong, J., Thomsen, A., Rasmussen, P., Iversen, B.V., 2000. Studies of soil and water dynamics. Approach and methodology. Working paper no. 2. Research Center on Forest and People in Thailand, Tjele, Denmark. Praneetvatakul., S., Janekarnkij, P., Potchanasin, C., Prayoonwong, K., 2001. Assessing the sustainability of agriculture a case of Mae Chaem catchment, northern Thailand. Environment International 27 (2-3), 103-109. 21 22 Putivoranart, S., 1973. Soil survey report no. 167 for Wang-pa, Mae Chaem district, Chiang Mai (translated from Thai title). The Land Development Department of Thailand, Thailand. Saxton, K.E., Rawls, W.J., Romberger, J.S., Papendick, R.I., 1986. Estimating generalized soil-water characteristics from texture. Soil Science Society of America Journal 50 (4), 1031-1036. Schnorbus, M., Alila, Y., 2004. Forest harvesting impacts on the peak flow regime in the Columbia mountains of southeastern British Columbia: an investigation using long-term numerical modeling. Water Resources Research 40 (5), Art. no. W05205. Schreider, S.Yu., Jakeman, A.J., Gallant, J., Merritt, W.S., 2002. Prediction of monthly discharge in ungauged catchments under agricultural land use in the Upper Ping basin, northern Thailand. Mathematics and Computers in Simulation 59 (1-3), 19-33. Storck, P., 2000. Trees, snow, and flooding: an investigation of forest canopy effects on snow accumulation and melt at the plot and watershed scales in the Pacific Northwest. Water Resources Series Technical Report no. 161. University of Washington, Seattle, WA. Tangtham, N., 1998. Hydrological roles of the highland watersheds in Thailand, in: Thaiutsa, B., Traynor, C., Thammincha, S. (Eds.), Highland ecosystem management: Proceedings of the International Symposium on Highland Ecosystem Management, 26-31 May 1998. Royal Anghang Agricultural Station, Chiang Mai, Thailand. Thomas, D., Preechapanya, P., Saipothong, P., 2002. Landscape Agroforestry in Upper Tributary Watersheds of Northern Thailand. Journal of Agriculture (Thailand) 18 (supplement 1), S255-S302. Van Noordwijk, M., Richey, J., Thomas, D., 2003. Functional value of biodiversity – phase II. Technical report for activity 2: landscape and (sub) catchment scale modeling of effects of forest 22 23 conversion on watershed functions and biodiversity in Southeast Asia. Alternatives to Slash-and-Burn Programme, Nairobi, Kenya. VanShaar, J.R., Haddeland, I., Lettenmaier, D.P., 2002. Effects of land-cover changes on the hydrological response of interior Columbia River basin forested catchments. Hydrological Processes 16 (13), 2499-2520. Walker, A., 2002-a. Forests and water in northern Thailand. Resource Management in Asia-Pacific Working Paper no. 37. Resource Management in Asia-Pacific Program. The Australian National University, Canberra, Australia. Walker, A., 2002-b. Agricultural transformation and the politics of hydrology in northern Thailand: a case study of water supply and demand. Resource Management in Asia-Pacific Working Paper no. 40. Resource Management in Asia-Pacific Program. The Australian National University, Canberra, Australia. Wigmosta, M.S., Vail, L.W., Lettenmaier, D.P., 1994. A distributed hydrology-vegetation model for complex terrain. Water Resources Research 30 (6), 1665-1679. Ziegler, A.D., Sutherland, R.A., Giambelluca, T.W., 2000. Runoff generation and sediment production on unpaved roads, footpaths and agricultural land surfaces in northern Thailand. Earth Surface Processes and Landforms 25 (5), 519-534. Ziegler, A.D., Giambelluca, T.W., Tran, L.T., Vana, T.T., Nullet, M.A., Fox, J., Vien, T.D., Pinthong, J., Maxwell, J.F., Evett, S., 2004. Hydrological consequences of landscape fragmentation in mountainous northern Vietnam: evidence of accelerated overland flow generation. Journal of Hydrology 287 (1-4), 124-146. 23 24 Fig. 1. Location and river network alignment of Mae Chaem basin in northern Thailand 24 25 Fig. 2. DEM, soil depth, and stream network grids (left to right) represented by the 150-m resolution. Fig. 3. Mae Chaem landcover (Veg 1989) re-processed 1989, (Veg 2000) re-processed 2000 data sets 25 26 Fig. 4. Landuse conversion (Scenario I) crops to forest, (Scenario II) Double crops, (Scenario III) More upland crops, (Scenario IV) More lowland crops 26 27 Fig. 5. Location of climate stations with elevation (m. a. s. l.) 27 28 Fig. 6. Historic records of stream flow at gage P.14 and precipitation from Research Station (RE) 28 29 Fig. 7. Orographic effects on average annual rainfall (1989-2000) 29 30 Fig. 8. Comparison of observed and predicted hydrographs on Veg 2000 as (a) daily discharge, (b) average wet-season flow, (c) average dry-season flow, and (d) % deviation of simulated from observed values. Error bars represent the standard deviation. 30 31 Fig. 9. Quantitative indicators of (a) river buffering capacity and (b) transmission of high peak discharge in relation to annual (Jan - Dec) basin water yield indicators 31 32 Fig.10. Seasonal patterns of monthly simulated basin-wide evapotranspiration (ET) and rainfall simulated by DHSVM on Veg 2000 with irrigation and compared to values from GenRiver model 32 33 Fig. 11. Illustration of the underlying dynamics changes in hydrographs, with soil moisture in the root zones at 30-60 cm, 60-100 cm, evapotranspiration, and precipitation (top to bottom). Values are at time = 0:00-3:00 and simulated on Veg 2000 33 34 Fig. 12. Soil moisture temporal dynamics in the 30-60 cm root depth and the correlation with elevation zone, simulated on Veg 2000 34 35 Fig. 13. Evapotranspiration temporal dynamics in correlation with elevation zone, simulated on Veg 2000 35 36 Fig. 14. Comparison of (a) - (b) river buffering indicators and (c) - (d) transmission of high peak discharge in relation to annual (Jan - Dec) basin water yield indicators among landcover scenarios 36 37 Fig. A1. Original landcover in 1989 37 38 Fig. A2. Original landcover in 2000 38 39 Table 1 Monthly irrigation water demand (in mm) of northern agricultural crops (Schreider et al., 2002) Month Crop type Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Wet season rice 0 0 0 0 250 300 350 150 50 50 0 0 Dry season rice 250 200 200 0 0 0 0 0 0 0 300 500 Cash crops 150 150 100 0 0 0 0 0 0 0 300 100 Table 2 Simulation scenarios to look at effects of land-use type, irrigation, and soil compaction Primary factor : Land-use change Secondary factors Veg 1989 Veg 2000 Scenario I Scenario II Scenario III Scenario IV Irrigated areas 0% X 20%a X 35%b X X Soil compaction, no irrigation a b X X X X X X X Approximate maximum percentage of croplands being irrigated based on Veg 1989 Approximate maximum percentage of croplands being irrigated based on Veg 2000 39 X X X X 40 Table 3 Final values for DHSVM model parameters Parameter Values Ground roughness, m 0.02 Reference height, m 40 Rain LAI multiplier 0.0005 Temperature lapse rate, oC/m -0.0015 Precipitation lapse rate, m/m 0.002 Overstory height, m 20-30 Understory height, m 0.2-5 Vegetation vapor pressure deficit threshold, kPa 4000 Maximum stomatal resistance for overstory, s/m 4000-5000 Minimum stomatal resistance for overstory, s/m 200-400 Maximum stomatal resistance for understory, s/m 600-3000 Minimum stomatal resistance for understory, s/m 120-175 2.3-10.8 (broadleaf) Overstory LAI 4.8-12.5 (needleleaf) Understory LAI 0.8-10 Overstory albedo 0.2 Understory albedo 0.2 Lateral soil hydraulic conductivity, m/s 0.0005 - 0.005 Vertical hydraulic conductivity, m/s 10-6 – 10-3 40 41 Table 4 Comparison of hydrologic compositions between observation, simulation by DHSVM on Veg 2000 with irrigation diversion, and simulation by GenRiver on Mixed-landuse, based on water year Average values of hydrologic components (1995 – 2000) Source of computed Annual yield High flow a Low flow Annual evapotranspiration mm (m3/s) m3/s m3/s mm Observed 281 (34.3) 50.7 18.5 750 b 1230 c DHSVM 215 (26.2) 54.7 7.6 762 GenRiver 247 (30.3) 43.7 18.0 968 hydrologic components a Exception: high flow is an average from 1994-2000 b Hill evergreen forest in Chiang Mai (Tangtham,1998) c Typical mountainous watershed, excluding cloud forests (Tangtham,1998) Table 5 Comparison of average observed and simulated annual (January to December) runoff ratios, buffering indicators, and highest-month flow fraction from DHSVM (Veg 2000 with irrigation) and GenRiver. For observed and DHSVM values, basin-wide DHSVM-generated rainfall was used in the calculation. Rainfall data in GenRiver was generated from SpatRain model (van Noordwijk et al., 2003) Average values of hydrologic components (1995 – 1999) Source of computed Highest monthly discharge hydrologic components Runoff ratio Buffering indicator relative to mean rainfall Observed 0.26 0.832 3.13 DHSVM 0.21 0.815 4.22 GenRiver 0.18 0.893 3.91 41 42 Table 6 Potential rangesa of basin hydrology simulated on different landcover scenarios, with and without irrigation based on water year (November – October) Average hydrologic components (1995 – 2000) Landcover scenarios Annual yield, High flow, Low flow, Annual evapotranspiration, mm (m3/s) m3/s m3/s mm I 215 (26.2) 54.7 7.6 762 NI 249 (30.5) 58.6 12.0 727 NI 223 (27.2) 53.3 11.1 752 I 202 (24.7) 53.6 5.8 781 NI 261 (31.8) 61.2 12.5 715 I 220 (25.6) 56.8 7.0 759 NI 269 (32.8) 63.1 12.7 707 I 193 (23.6) 51.6 5.6 786 NI 251 (30.7) 59.1 12.2 724 Veg 2000 Scenario I Scenario II Scenario III Scenario IV a I Based on percentage of irrigated croplands in Table 2 = With irrigation NI = No irrigation 42 43 Table 7 Comparison of soil moisture in the 30-60 cm depth in all elevation bands among land-use scenarios for simulations on March 9, 1999 time step 0:00 – 3:00 Landcover scenario Elevation range, m Veg 2000 Scenario III Scenario IV > 1600 0.227 0.229 0.227 1200 - 1600 0.180 0.186 0.180 800 - 1200 0.163 0.166 0.164 500 - 800 0.151 0.151 0.151 < 500 0.147 0.147 0.149 Table 8 Comparison of soil moisture in the 30-60 cm depth in all elevation bands among land-use scenarios for simulations on October 10, 1999 time step 0:00 – 3:00 Landcover scenario Elevation range, m Veg 2000 Scenario III Scenario IV > 1600 0.366 0.366 0.366 1200 - 1600 0.331 0.331 0.331 800 - 1200 0.298 0.299 0.299 500 - 800 0.185 0.185 0.186 < 500 0.147 0.147 0.149 43 44 Table 9 Comparison of simulated hydrologic components among future forest-to-crop scenarios with soil compaction (no irrigation) Average hydrologic components (1995 – 2000) Landcover Annual Annual yield a, High flow a, Low flow a, scenarios Runoff Evapotranspiration a, 3 mm (m /s) 3 a m /s 3 m /s Buffering indicator b ratio b mm Scenario II 269 (32.8) 62.9 12.8 708 0.26 0.81 Scenario III 277 (33.8) 64.8 12.9 700 0.27 0.80 Scenario IV 259 (31.6) 60.9 12.6 717 0.25 0.81 a Calculation based on water year (November – October) b Calculation based on Julian year (January – December) 44