Theoretical Study on Self-Organization of Vegetation Patterns Triggered by Water Resource in Deposited Sediment Layer
Table 1
Interpretation of the symbols used in (1a) and (1b).
Symbol
Interpretation
Units
Value/Range
Sediment water
Cm
-
vegetation biomass
g m−2
-
Time
Day
-
,
Space
M
-
Maximal growth rate of the sediment water (layer) at
cm day−1
(0, 0.01]
Maximal thickness of the sediment water (layer)
Cm
5
specific sediment water loss due to evaporation
day−1
0.05
Uptake of the sediment water
m4 g−2 day−1
0.3
Conversion of water uptake into vegetation biomass
g m−2 cm−1
10
Mortality of the vegetation biomass
day−1
0.02
Movement of the sediments along the downslope direction on hillslopes
m day−1
10 or 0.001
Diffusive coefficient of sediment water
m2 day−1
0.2
Plant dispersal
m2 day−1
0.01
A group of feasible values or ranges of the parameters are given referring to former empirical or theoretical studies in the literature [7–9, 21, 36–38].