Assessment of Climate-Change Impact on Runoff Using Normalized Difference
Vegetation Index
Chi-Chung Lau 1 , Kwan-Tun Lee 2 , Ching-Pin Tung 3 , Chin-Hsin Chang 2
1 :Laboratories of Energy and Resources, Industrial Technology Research Institute,
Bldg.24, 195-6, Sec.4, Chunghsin Rd., Chutung 310, Taiwan
Tel. (886)-3-591-5469 Fax.(886)-3-582-0038
E-mail: cclau@erl.itri.org.tw
2 National Ocean University , 3 National Taiwan University
Abstract
Climate-change influences rainfall-runoff process by changing weather input and basin's
characteristics. This study uses remote sensing based vegetation index (NDVI) to evaluate the
change of vegetation under 1xCO
2 and 2xCO
2 conditions. Some studies shown that
vegetation belt shifts up with temperature on a rate of +180m/1°C. NDVI distribution curve
simulates this shift of vegetation, and then calculates new evapotranspiration parameter of a
rainfall-runoff model. CCCM, a general circulation model of NCAR, provides monthly
precipitation and temperature on 2xCO
2 conditions, and daily data were generated with a
first-order Markov chain model. Four basins located on difference water resource regions are
processed to calculate flow duration curves (FDC). FDC result indicates that four basins
have higher flood flow. Northern and eastern regions have smaller flow rate during drought
period but the other two regions have larger values. Mean flow rate (Q
50) on southern region
in 2xCO
2 is five times then that in 1xCO
2 condition.
Introduction
Basin-scale Modeling
Many satellite remote sensing programs have been launched for studying atmospheric
vapor and their land surface relationship. General procedure is developing a series of
algorithms that integrate data from remote sensing for simulating Water-Energy-Carbon,
Carbon and Biogeochemistry. On the other hand, General Circulation Model (GCM)
provides global scale solution of precipitation and temperature while carbo-dioxide
concentration rises. Many GCMs have concluded that more precipitation falling in high
latitude area and causing more runoff. In low latitude area, runoff is decreased due to less
rainfall and higher temperature. Simultaneously increasing precipitation and temperature
makes more flood and drought problems. However, water resource engineers do not satisfy
the answer because the broad scale is non-suitable for operation purpose. What the engineers
needed is a basin-scale result. This study present a short cut that develops a basin-scale
model simulating runoff under 2xCO
2 condition by combining GCM output and remote
sensing data.
Study method
Study procedure is arranged as Fig.1:
- Developing a hydrologic model that has
hydrologic meaning parameters.
- Estimating the relationship between parameter and
physiographic factor, remote sensing helps to represent the vegetation condition of watershed
and to bridge parameter and climate change.
- Generating daily rainfall and temperature
data from GCMs monthly output.
- Estimating new vegetation pattern from GCM output
on 2xCO2 condition, and new model parameter from vegetation-parameter relationship.
- Combining the results of step 3 and step 4 to simulate runoff and follow up assessment.

Fig 1. Study Flow Chart
Hydrologic Model
Model Structure
We develop a simplified SWM (Lau, 1996) which has three storage layers simulating fast
response (Fig.2), slow response, and ground water of a watershed. Model detail has
described in original paper and briefly express as following:

Fig 2.Structure of Hydrologic Model
Fast Response Zone
The zone simulates basins top depress and top soil layer. While precipitation (P) fall,
water stay in the zone that is called Fast Response Zone Storage (FRS). Flow can be
represented as:
FRS(t)=P(t)+FRS(t-1)-F(t-1)-SR(t-1)-FET(t-1)
(1)
In eq. 1, t stands for time period. Surface runoff, SR, is calculated by Mannings equation
controlled by a roughness and slope parameter GEO. FET is assumed a free evaporation that
estimated by smaller value between potential evapotranspiration (PET) and FRS. PET can be
calculated with Blaney Criddle (1958) method by given average temperature.
Slow Response Zone
Slow response zone emulates lower soil zone. Moisture in the zone is called Slow
Response Zone Storage (SRS) that can be formulated as:
SRS(t)= F(t)+SRS(t-1) -QI(t-1)-DP(t-1)-SET(t-1)
(2)
F is decided by infiltration coefficient A, SRC and water content SRS. QI is calculated by
interflow recession constant,KI. SET is determined by a vegetation related coefficient CET
and water content SRS. DP is just decided by the ration of water content and zones capacity
(SRC)s
Ground Water Zone
Ground Water zone Storage (GWS) receives deep percolation (DP) and outlet ground
water (QG):
GWS(t)= DP(t)+GWS(t-1) -QG(t-1)
(3)
Estimation of ground water is from recession constant (KG):
QG(t)=(1-KG) GWS(t)
(4)
Outlet discharge from basin is the total of SR, QI and QG. There are total five
parameters (Table 1) needed to calibrate by fitting estimated and historical discharge, and two
recession constants are estimated by recession section of hydrographies. To study correlation
between physiographic factor and parameters, remotely sensed data transfer two indexes:
vegetation and soil index that makes it possible to bridge parameter and physiographic factor.