Spatially-explicit matrix models - ERA - University of Alberta

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In turn, the critical domain-size provides a tool for reserve design and ... tree management |28|, to name but a few. ... models, e.g., to reserve design |2|. The first ...
!2=0.5

!2=0.08

density

1

density

1

0

0

!1

1

!1

1

spatial domain

spatial domain 2

! =0.02

density

1

0 !1

1

spatial domain

2

2

P=370, ! =0.04

P=570, ! =0.5

density

12

density

7

0 !1

1

0 !1

spatial domain

1

spatial domain 2

P=700, ! =0.02

density

12

0 !1

1

spatial domain

average dispersal success 1

0.7

0.5

0 1 2

variance 3 4 5

equilibrium values for u1 and u2

1.2 0.8

0.4 0 0.5

0.75

average dispersal success ^s

1.0

reproductive rate P

150

100 100

5050

000

0.5

11

1.5

2.5 22 33 2 variance !

3.5

44

4.5

55

0.25

Approximate eigenvalue "

Maximum density 1.04

0.2 1.02 0.15 1 0.1 0.98 0.05 0.96 0 0

0.2

0.4

M

0

0.2

Population equilibrium

Population two!cycle

2

2

densities

2.5

densities

2.5

1.5

1.5

1

0.5

0 !1

0.4

M

1

0.5

!0.5

0

spatial domain

0.5

1

0 !1

!0.5

0

spatial domain

0.5

1