A metapopulation model with Markovian landscape dynamics

TL;DR

This paper extends a metapopulation model to include habitat patches with characteristics that change over time according to a Markov process, clarifying how landscape dynamics influence metapopulation persistence.

Contribution

It introduces a Markovian landscape dynamics framework into Hanski's incidence function model, providing a recursion for occupancy probability in large metapopulations.

Findings

Landscape dynamics influence metapopulation persistence through local lifespan distribution.

The model generalizes the suitable/unsuitable patch classification.

The recursion aids in understanding habitat variability effects.

Abstract

We study a variant of Hanski's incidence function model that allows habitat patch characteristics to vary over time following a Markov process. The widely studied case where patches are classified as either suitable or unsuitable is included as a special case. For large metapopulations, we determine a recursion for the probability that a given habitat patch is occupied. This recursion enables us to clarify the role of landscape dynamics in the survival of a metapopulation. In particular, we show that landscape dynamics affects the persistence and equilibrium level of the metapopulation primarily through its effect on the distribution of a local population's life span.