Uniqueness and multiplicity of clines in an environmental pocket

Thomas Nagylaki, Linlin Su and Todd F. Dupont

Theoretical Population Biology, 2019, vol. 130, issue C, 106-131

Abstract: The number of clines (i.e., polymorphic equilibria) maintained by a step-environment in a unidimensional pocket at a single diallelic locus is investigated. The monoecious population is locally panmictic; its density is uniform. Migration and viability selection are both weak; the former is homogeneous and symmetric; the latter is directional and usually specified by a unimodal function f(p) of the gene frequency p. If the ratio of the selection intensity to the migration rate exceeds a critical value, at least one cline exists. The general theorems on equilibrium structure determine it in detail for many classes of f(p), including the cubic for frequency-independent selection. Numerical examples demonstrate that for suitable f(p), many equilibria can occur simultaneously.

Keywords: Geographical structure; Spatial structure; Population structure; Migration; Selection; Subdivided populations (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0040580919300280
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:130:y:2019:i:c:p:106-131

DOI: 10.1016/j.tpb.2019.07.006

Access Statistics for this article

Theoretical Population Biology is currently edited by Jeremy Van Cleve

More articles in Theoretical Population Biology from Elsevier
Bibliographic data for series maintained by Catherine Liu ().