Adaptive dynamics in a 2-patch environment

A toy model for allopatric and parapatric speciation

G. Meszéna, István Czibula, Stefan Geritz

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

Adaptation to an environment consisting of two patches (each with different optimal strategy) is investigated. The patches have independent density regulation ('soft selection'). If the patches are similar enough and migration between them is strong, then evolution ends up with a generalist ESS. If either the difference between the patches increases or migration weakens, then the generalist strategy represents a branching singularity: The initially monomorphic population first evolves towards the generalist strategy, there it undergoes branching, and finally two specialist strategies form an evolutionarily stable coalition. Further increasing the between-patch difference or decreasing migration causes the generalist to lose its convergence stability as well, and an initially monomorphic population evolves towards one of the specialists optimally adapted to one of the two patches. Bifurcation pattern of the singularities is presented as a function of patch difference and migration rate. Connection to speciation theory is discussed. The transition from the generalist ESS to the coexisting pair of specialist strategies is regarded as a clonal prototype of parapatric (if the between-patch difference increases) or allopatric (if the migration decreases) speciation. We conclude that the geographic and the competitive speciation modes are not distinct classes.

Original languageEnglish
Pages (from-to)265-284
Number of pages20
JournalJournal of Biological Systems
Volume5
Issue number2
Publication statusPublished - Jun 1997

Fingerprint

toys
Speciation
Play and Playthings
Adaptive Dynamics
generalist
Patch
branching
Migration
evolutionarily stable strategy
prototypes
Population
Model
Branching
bifurcation
Singularity
Coalitions
Optimal Strategy
Bifurcation
Prototype
Distinct

Keywords

  • Adaptive dynamics
  • Allopatric and parapatric speciation
  • Evolutionarily and convergence stable strategies
  • Soft selection

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Ecology
  • Applied Mathematics

Cite this

Adaptive dynamics in a 2-patch environment : A toy model for allopatric and parapatric speciation. / Meszéna, G.; Czibula, István; Geritz, Stefan.

In: Journal of Biological Systems, Vol. 5, No. 2, 06.1997, p. 265-284.

Research output: Contribution to journalArticle

@article{23a3ad7efe804e94aa38f2b17203d302,
title = "Adaptive dynamics in a 2-patch environment: A toy model for allopatric and parapatric speciation",
abstract = "Adaptation to an environment consisting of two patches (each with different optimal strategy) is investigated. The patches have independent density regulation ('soft selection'). If the patches are similar enough and migration between them is strong, then evolution ends up with a generalist ESS. If either the difference between the patches increases or migration weakens, then the generalist strategy represents a branching singularity: The initially monomorphic population first evolves towards the generalist strategy, there it undergoes branching, and finally two specialist strategies form an evolutionarily stable coalition. Further increasing the between-patch difference or decreasing migration causes the generalist to lose its convergence stability as well, and an initially monomorphic population evolves towards one of the specialists optimally adapted to one of the two patches. Bifurcation pattern of the singularities is presented as a function of patch difference and migration rate. Connection to speciation theory is discussed. The transition from the generalist ESS to the coexisting pair of specialist strategies is regarded as a clonal prototype of parapatric (if the between-patch difference increases) or allopatric (if the migration decreases) speciation. We conclude that the geographic and the competitive speciation modes are not distinct classes.",
keywords = "Adaptive dynamics, Allopatric and parapatric speciation, Evolutionarily and convergence stable strategies, Soft selection",
author = "G. Mesz{\'e}na and Istv{\'a}n Czibula and Stefan Geritz",
year = "1997",
month = "6",
language = "English",
volume = "5",
pages = "265--284",
journal = "Journal of Biological Systems",
issn = "0218-3390",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",

}

TY - JOUR

T1 - Adaptive dynamics in a 2-patch environment

T2 - A toy model for allopatric and parapatric speciation

AU - Meszéna, G.

AU - Czibula, István

AU - Geritz, Stefan

PY - 1997/6

Y1 - 1997/6

N2 - Adaptation to an environment consisting of two patches (each with different optimal strategy) is investigated. The patches have independent density regulation ('soft selection'). If the patches are similar enough and migration between them is strong, then evolution ends up with a generalist ESS. If either the difference between the patches increases or migration weakens, then the generalist strategy represents a branching singularity: The initially monomorphic population first evolves towards the generalist strategy, there it undergoes branching, and finally two specialist strategies form an evolutionarily stable coalition. Further increasing the between-patch difference or decreasing migration causes the generalist to lose its convergence stability as well, and an initially monomorphic population evolves towards one of the specialists optimally adapted to one of the two patches. Bifurcation pattern of the singularities is presented as a function of patch difference and migration rate. Connection to speciation theory is discussed. The transition from the generalist ESS to the coexisting pair of specialist strategies is regarded as a clonal prototype of parapatric (if the between-patch difference increases) or allopatric (if the migration decreases) speciation. We conclude that the geographic and the competitive speciation modes are not distinct classes.

AB - Adaptation to an environment consisting of two patches (each with different optimal strategy) is investigated. The patches have independent density regulation ('soft selection'). If the patches are similar enough and migration between them is strong, then evolution ends up with a generalist ESS. If either the difference between the patches increases or migration weakens, then the generalist strategy represents a branching singularity: The initially monomorphic population first evolves towards the generalist strategy, there it undergoes branching, and finally two specialist strategies form an evolutionarily stable coalition. Further increasing the between-patch difference or decreasing migration causes the generalist to lose its convergence stability as well, and an initially monomorphic population evolves towards one of the specialists optimally adapted to one of the two patches. Bifurcation pattern of the singularities is presented as a function of patch difference and migration rate. Connection to speciation theory is discussed. The transition from the generalist ESS to the coexisting pair of specialist strategies is regarded as a clonal prototype of parapatric (if the between-patch difference increases) or allopatric (if the migration decreases) speciation. We conclude that the geographic and the competitive speciation modes are not distinct classes.

KW - Adaptive dynamics

KW - Allopatric and parapatric speciation

KW - Evolutionarily and convergence stable strategies

KW - Soft selection

UR - http://www.scopus.com/inward/record.url?scp=0000937072&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000937072&partnerID=8YFLogxK

M3 - Article

VL - 5

SP - 265

EP - 284

JO - Journal of Biological Systems

JF - Journal of Biological Systems

SN - 0218-3390

IS - 2

ER -