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Evolutionary branching and its application to resource adaptation.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Evolutionary branching and its application to resource adaptation.
Author:	Ma, Junling.
Description:	124 p.
Notes:	Adviser: Simon A. Levin.
Notes:	Source: Dissertation Abstracts International, Volume: 63-10, Section: B, page: 4714.
Contained By:	Dissertation Abstracts International63-10B.
Subject:	Mathematics.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3067158
ISBN:	0493866361

Evolutionary branching and its application to resource adaptation.
Ma, Junling.

Evolutionary branching and its application to resource adaptation. [electronic resource] - 124 p.

Adviser: Simon A. Levin.

Thesis (Ph.D.)--Princeton University, 2003.

In this thesis I develop a framework for studying evolutionary branching of multiple species with multiple traits using the adaptive dynamics method, and apply it to study the evolution of resource adaptation. I show that the adaptive dynamics is a good approximation of the evolution process. I introduce a "double-dimension method" to study the branching conditions for both multiple-species systems with a single trait per species and systems with multiple traits per species. The branching conditions comprise a coexistence condition for mutants and their parents, and a saddle condition of the evolutionary equilibrium in the "doubled" system. The multiple-trait systems present more complexities than the single-trait-per-species systems because in multiple-trait systems the branched species have random combinations of the branched traits. I then apply this framework to study the adaptation to both continuously distributed and discrete resources. In both cases I show that evolutionary branching may occur if there are constraints on the resource utilization ability, so that multiple consumers with specialist strategies for partitioning the resource distribution can evolve. Large switching costs prevent consumers from branching and promote one specialist strategy. But even with large switching costs a consumer may adapt to extremely different resources either by branching through intermediate resources or by draining the original resource so that switching to the alternative is beneficial.

ISBN: 0493866361Subjects--Topical Terms:

184409
Mathematics.

Evolutionary branching and its application to resource adaptation.
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502 $a Thesis (Ph.D.)--Princeton University, 2003.
520 # $a In this thesis I develop a framework for studying evolutionary branching of multiple species with multiple traits using the adaptive dynamics method, and apply it to study the evolution of resource adaptation. I show that the adaptive dynamics is a good approximation of the evolution process. I introduce a "double-dimension method" to study the branching conditions for both multiple-species systems with a single trait per species and systems with multiple traits per species. The branching conditions comprise a coexistence condition for mutants and their parents, and a saddle condition of the evolutionary equilibrium in the "doubled" system. The multiple-trait systems present more complexities than the single-trait-per-species systems because in multiple-trait systems the branched species have random combinations of the branched traits. I then apply this framework to study the adaptation to both continuously distributed and discrete resources. In both cases I show that evolutionary branching may occur if there are constraints on the resource utilization ability, so that multiple consumers with specialist strategies for partitioning the resource distribution can evolve. Large switching costs prevent consumers from branching and promote one specialist strategy. But even with large switching costs a consumer may adapt to extremely different resources either by branching through intermediate resources or by draining the original resource so that switching to the alternative is beneficial.
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