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Updated: May 18, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Evolution of complex density-dependent dispersal strategies.

Kalle Parvinen¹, Anne Seppänen, John D Nagy

¹Department of Mathematics and Statistics, University of Turku, Turku, Finland. kalle.parvinen@utu.fi

Bulletin of Mathematical Biology

|September 15, 2012

Summary

Density-dependent dispersal strategies evolve complex behaviors, like triple-threshold emigration, in small metapopulations. Adult dispersal may offer greater benefits than juvenile dispersal under these conditions.

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Area of Science:

Ecology
Evolutionary Biology
Population Dynamics

Background:

Anthropogenic habitat alteration and climate change necessitate understanding adaptive dispersal.
Metapopulation models traditionally assume large local populations and density-dependent dispersal.
Habitat fragmentation reduces local population sizes, introducing demographic stochasticity.

Purpose of the Study:

Investigate the evolution of density-dependent dispersal in metapopulation models with small local populations.
Analyze emigration and immigration strategies under adult and natal dispersal scenarios.
Examine the impact of demographic stochasticity on dispersal evolution.

Main Methods:

Utilized a metapopulation model incorporating small local population sizes and demographic stochasticity.
Simulated and analyzed the evolution of density-dependent emigration and immigration.
Compared evolutionary outcomes for adult dispersal versus natal dispersal.

Main Results:

Density-dependent emigration can evolve into a non-monotone "triple-threshold" strategy.
This complex strategy arises from the interplay of dispersal benefits (direct and indirect) and costs.
Dispersing adults may gain more from density-dependent strategies than density-independent ones, compared to juveniles.

Conclusions:

Density-dependent dispersal evolution is more complex in small, stochastic metapopulations than previously assumed.
The "triple-threshold" strategy represents a novel evolutionary outcome in dispersal.
Adult dispersal may be a more advantageous strategy in fragmented populations experiencing stochasticity.