Noise-induced patterns in environmental systems - Noise-induced Phenomena in the Environmental Sciences - page 254

v st

1

0.8

0.6

0.4

0.2

0

D

0.1 0.2 0.3 0.4

Figure 6.3. Steady-state average woody biomass as a function of the diffusion coef-
ficient for

0001. These results
are obtained from the numerical solution of Eq. ( 6.10 ). Figure taken from D'Odorico
et al. ( 2007b ).

α = 0 . 45, λ 0 = 0 . 65, b /λ 0 =− 0 . 9, ω 0 = 0 . 4, = 0 .

v

1

0.8

0.6

0.4

0.2

1000 t 200 400 600 800

(a)

v

1

0.8

0.6

0.4

0.2

1000 t

200 400 600 800

(b)

Figure 6.4. Numerical simulation (in a 128 128 grid) of the temporal evolution

of mean tree biomass as a function of the initial condition for (a) D

×

= 0 . 1 and

(b) D 3; the other parameters are the same as in Figure 6.3 . Figure taken from

D'Odorico et al. ( 2007b ).

= 0 .