small mammal dispersion
DESCRIPTION
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 - PowerPoint PPT PresentationTRANSCRIPT
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Small Mammal Dispersion
from: Frank StegemannTobias SchwatinskiKai Dischereit
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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 beaverpopulations to a certainnumber of beavers
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…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
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Population of beavers in both areas without influence of human and themselvesArea 1 -> logistic model Area 2 -> exponential model
1 Mathematical Formulation of the Social Fence Hypothesis
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Migration from Y to X
1 Mathematical Formulation of the Social Fence Hypothesis
within-group aggression of Y
between-group aggressionbetween X and Y
…carrying capacity
…constant rate of beavers/square mile/year
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2 The Social Fence Formulation without Trapping
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2 The Social Fence Formulation without Trapping
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3 The Social Fence Formulation with Trapping
p > 0
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3 The Social Fence Formulation with Trapping
Trapping P = 25%
equilibrium point x = 55%