Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.
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Transcript of Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.
![Page 1: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/1.jpg)
Small Mammal Dispersion
from: Frank StegemannTobias SchwatinskiKai Dischereit
![Page 2: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/2.jpg)
1 Introduction
Environmental and agricultural benefits:- habitat for a large number of wildlife species- improved water quality - improved productivity of adjacent land for
livestock grazing- fertile soils for agricultural production when
drained
BUT- Damage wood -> Cause costs
Need to limitate beaver
populations to a certain
number of beavers
![Page 3: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/3.jpg)
…rate of change of beavers/square-inch in controlled area A
…rate of change of beavers/square-inch in uncontrolled area B
…functions for isolated populations
…function of relationship between beavers of both areas
-> social fence
1 Mathematical Formulation of the Social Fence Hypothesis
![Page 4: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/4.jpg)
Population of beavers in both areas without influence of human and themselves
Area 1 -> logistic model Area 2 -> exponential model
1 Mathematical Formulation of the Social Fence Hypothesis
![Page 5: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/5.jpg)
Migration from Y to X
1 Mathematical Formulation of the Social Fence Hypothesis
within-group
aggression of Y
between-group
aggression
between X and Y
…carrying capacity
…constant rate of
beavers/square mile/year
![Page 6: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/6.jpg)
2 The Social Fence Formulation without Trapping
![Page 7: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/7.jpg)
2 The Social Fence Formulation without Trapping
![Page 8: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/8.jpg)
3 The Social Fence Formulation with Trapping
p > 0
![Page 9: Small Mammal Dispersion from:Frank Stegemann Tobias Schwatinski Kai Dischereit.](https://reader030.fdocuments.us/reader030/viewer/2022033105/5697c0261a28abf838cd592b/html5/thumbnails/9.jpg)
3 The Social Fence Formulation with Trapping
Trapping P = 25%
equilibrium point x = 55%