English

A framework for studying transients in marine metapopulations

Populations and Evolution 2022-06-14 v1 Dynamical Systems

Abstract

Transient dynamics can often differ drastically from the asymptotic dynamics of systems. In this paper we provide a unifying framework for analysing transient dynamics in marine metapopulations, from the choice of norms to the addition of stage structure. We use the 1\ell_1 norm, because of its biological interpretation, to extend the transient metrics of reactivity and attenuation to marine metapopulations, and use examples to compare these metrics under the more commonly used 2\ell_2 norm. We then connect the reactivity and attenuation of marine metapopulations to the source-sink distribution of habitat patches and demonstrate how to meaningfully measure reactivity when metapopulations are stage-structured.

Keywords

Cite

@article{arxiv.2103.09747,
  title  = {A framework for studying transients in marine metapopulations},
  author = {Peter D. Harrington and Mark A. Lewis and P. van den Driessche},
  journal= {arXiv preprint arXiv:2103.09747},
  year   = {2022}
}

Comments

34 pages, 11 figures

R2 v1 2026-06-24T00:16:52.134Z