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Small Mammal Dispersion

Small Mammal Dispersion. from: Frank Stegemann Tobias Schwatinski Kai Dischereit . 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

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Small Mammal Dispersion

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  1. Small Mammal Dispersion from: Frank Stegemann Tobias Schwatinski Kai Dischereit

  2. 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

  3. 1 Mathematical Formulation of the Social Fence Hypothesis …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

  4. 1 Mathematical Formulation of the Social Fence Hypothesis Population of beavers in both areas without influence of human and themselves Area 1 -> logistic model Area 2 -> exponential model

  5. 1 Mathematical Formulation of the Social Fence Hypothesis between-group aggression between X and Y within-group aggression of Y …carrying capacity …constant rate of beavers/square mile/year Migration from Y to X

  6. 2 The Social Fence Formulation without Trapping

  7. 2 The Social Fence Formulation without Trapping

  8. 3 The Social Fence Formulation with Trapping p > 0

  9. 3 The Social Fence Formulation with Trapping Trapping P = 25% equilibrium point x = 55%

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