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  • ACRS 1999


    Water Resources
    Assessment of Climate-Change Impact on Runoff Using Normalized Difference Vegetation Index

    Model Calibration
    Subjected by officer of Water Resource Bureau, four basins located on different regions, namely Fusan (northern region), Chichawan (middle), Sandiman (southern), and Lisan (eastern), are selected due to their scarcely human-activity. Raingages inside watershed were counted for calculating average daily rainfall. Corresponding temperature and runoff data were put together to calibrate parameters with constrain Rosenbork algorithm. Model parameters are shown on table 1.

    Table 1. List of Calibrated Parameters
    ParameterFusanChichiawanSandimanLisan
    Recession constant of interflow, KI 0.827 0.888 0.812 0.828
    Groundwater recession constant, KG 0.953 0.971 0.916 0.967
    Fast Response Zone Capacity, FRC 263 176 221 163
    Slow Response Zone Capacity, SRC 1231 784 756 853
    Surface Runoff Coefficient, GEO 4.75 2.6 1.54 1.67
    Infiltration coefficient, A 1009 1206 1345 1297
    Evaportranspiration coefficient, CET918376112

    Climate-Change Scenario

    Output of General Circulation Model
    Usually, assessment of climate-change impact uses scenario on double CO2 (2xCO2) concentration condition. There are three ways to composite scenario:
    • Building forecasting model by analyzing historical data;
    • Implementing sensitive analysis by changing statistics of historical data;
    • disaggregating GCM’s monthly output to daily rainfall and temperature data.
    Intergovernment Pannel on Climate Change (IPCC) does no suggest the first two approaches because history cannot forecast future in non-linearly complex system. This study adopts output of GCM to estimate 2xCO2 scenario. Tung (1996) uses output of four major GCMs (CCCM, GFDL, GISS, and UK89) from NCAR to estimate rainfall ratio and temperature difference of Taiwan’s major meteorologic stations. Data were classified into 4 regions, only UK89 show different results in northern and southern regions. GISS show low values in southern stations. Tung suggests that taking output from different grid causes inconformity. For this study, only CCCM provides output at grid 121.9°E 26.3°N (Table 2) and thereby is selected for generating daily data.

    Table 2. Weather change ratio from output of CCCM
    Month P2xCO2 / P1xCO2 T2xCO2 - T1xCO2 Month P2xCO2 / P1xCO2 T2xCO2 - T1xCO2
    January0.81 2.71 July 1.00 2.09
    February 1.05 3.66 August 1.19 1.75
    March 0.67 4.73 September 1.40 2.62
    April 1.11 4.16 October 1.01 2.45
    May 1.13 4.21November 0.86 2.39
    June 1.39 2.52 December 0.66 3.42
       Average 3.05

    Synthetic daily precipitation and temperature
    Output of GCM provides monthly average data. A Markov chain process is applied to disaggregate them to daily data. The chance of rainfall existence is decided by preceding day’s rainfall and the probability of monthly rainfall (Richardson, 1981). Once rainfall chance is decided, amount of rainfall can be described by one-parameter Weibull distribution (Tung, 1995)

    Fxm(x)=1-Exp[-(1.191X/Lm)0.75 ] ……………………………………(5)

    Here Lm is the average rainfall of month-m. Computation starts from generating random number of [0,1] uniform distribution and then calculating Fxm, and rainfall X.

    Because only daily average temperature is needed, a first-order Markov-chain model is developed to calculate daily temperature using standard deviation and auto-correlation of monthly temperature:

    Tij=Tavgi+ACFi[ Ti,j-1-Tavgi] +TSDi+NORMx(1-ACFi2)0.5 …………(6)

    Here Tij is temperature of month I, day J. TavgI is average temperature of mouth I, ACFI is auto-correlation of mouth-i. TSDI is the standard deviation of temperature of mouth-i. NORMx is normal distribution random number.

    Spatial distribution of Vegetation Index

    literatures review
    Normalized different vegetation index (NDVI) derived by satellite remotely sensed data contributes spatial distribution of biomass. Frieal etl. (1995) believes that NDVI is a major tool to utilize remote sensing in hydrology for deriving model parameter. Ozenda and Borel (1990) found that 1°C rise of temperature causes 180 meters raising of vegetation belt from data of the mountains of Alps. Houerou (1992) found similar trend from Mediterranean data that vegetation zone lifts up 100 meter with temperature rising 0.55°C. He also concluded Mediterranean plant may lifting up 545 meters due to 3°C rising of temperature . Because of lack of similar study in Taiwan, the trend of 180 meter/1°C is adopted in this study to quantify temperature-induced vegetation change.

    Relationship between vegetation and hydrologic-model parameters
    Landsat 5/TM images acquiesced on January 9, 1995 at 9:33 morning were used. Solar zenith angle of the scene was 58.36 and azimuth was 140.36. Original 30-meter-resolution data are rectified and re-sampled into 25-meter resolution, and were registered to Transverse Mercator (WGS84) projection. Bi-direction reflectance distribution function is used to adjust topographic effect.

    Five model-parameters relate to surface roughness, soil infiltration, plant evapotranspiration were counted for their relationship with remote sensing index. After different tries to soil brightness and vegetation indexes, results show that evapotranspiration coefficient (CET) appears better correlation with NDVI (Table.3 and Fig.3).

    Table 3. NDVI and CET values of 1xCO2 and 2xCO2 conditions
    Basin 1 x CO22 x CO2
    N D V I CET N D V I’ CET’
    Fusan 0 .4 0 0 2 91 0 .3436 91
    Chichiawan0.3108830.370195
    Sandiman0.2215760.303485
    Lisan0.42121120.4591108



    Fig.3 Regression plot of NDVI via CET

    NDVI values in Table 3 are average of all pixels inside basins. When running 2xCO2 scenario, a rising annual temperature (3°C) makes a right shift of NDVI-elevation curve 540 meters (3°C x 180 meter / 1°C) (Fig.4). A new NDVI average is estimated and new CET can be calculated from regression equation (CET = 147.9NDVI+40.44).


    Fig.4 Elevation-NDVI curves of Fusan

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