Structural instability of models of sexual selection
type: Item
instance of: scholarly article
title: Structural instability of models of sexual selection
zbMATH Open document ID: 0669.92011
DOI: 10.1016/0040-5809(89)90017-8
author: Michael Bulmer
published in: Theoretical Population Biology
publication date: 1989-01-01T00:00:00Z
review text: Models for sexual selection by the coevolution of female preference and a male trait have as a generic feature the existence of a neutrally stable line of equilibria up and down which the system can drift at random. However, this feature is structurally unstable since it is destroyed by introducing either mutation or weak direct selection on female preference into the model, to be replaced by a single equilibrium (or a finite set of disconnected equilibria). This process is investigated in detail under a simple but general population genetic model. It is concluded that the level of female preference is determined by mutation, selection, and genetic drift acting directly on it, and drags the male trait along with it along the line of equilibria. More attention should be paid to selective forces acting directly on female preference.
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 4097174
zbMATH Keywords: Models for sexual selection
zbMATH Keywords: general population genetic model
zbMATH Keywords: female preference
zbMATH Keywords: mutation
zbMATH Keywords: genetic drift
Wikidata QID: Q43684929
MaRDI profile type: Publication
full work available at URL: 0040-5809(89)90017-8
OpenAlex ID: W2061497324
cites work: A New Technique to Design Circularly Polarized Microstrip Antenna by Fractal Defected Ground Structure
description: scientific article; zbMATH DE number 4097174