Stochastic evolutionary dynamics on two levels

被引:36
作者
Traulsen, A [1 ]
Sengupta, AM
Nowak, MA
机构
[1] Univ Kiel, Inst Theoret Phys & Astrophys, Olshaussenstr 40, D-24098 Kiel, Germany
[2] Rutgers State Univ, BioMaPS Inst, Dept Phys & Astron, Piscataway, NJ 08854 USA
[3] Harvard Univ, Dept Organism & Evolutionary Biol, Dept Math, Program Evolutionary Dynam, Cambridge, MA 02138 USA
关键词
group selection; Moran process;
D O I
10.1016/j.jtbi.2005.01.019
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We consider a population that is subdivided into groups. Individuals reproduce proportional to their fitness. When a group reaches a certain size it has a probability to split into two groups while another group is eliminated. In this stochastic process, the number of groups is constant, while the total population size fluctuates between well-defined bounds. We calculate the fixation probability of newly introduced mutants tinder constant selection. We show that the described population structure acts as a suppressor of selection compared to an unstructured population of the same size. The maximum suppression of selection is obtained, when the number of groups equals the number of individuals per group. We also study opposing selection on two or more levels by analysing the evolutionary dynamics of hierarchically embedded Moran processes. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:393 / 401
页数:9
相关论文
共 64 条
[1]   POPULATION BIOLOGY OF INFECTIOUS-DISEASES .1. [J].
ANDERSON, RM ;
MAY, RM .
NATURE, 1979, 280 (5721) :361-367
[2]   COEVOLUTION OF HOSTS AND PARASITES [J].
ANDERSON, RM ;
MAY, RM .
PARASITOLOGY, 1982, 85 (OCT) :411-426
[3]   THE POPULATION-DYNAMICS OF MICRO-PARASITES AND THEIR INVERTEBRATE HOSTS [J].
ANDERSON, RM ;
MAY, RM .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1981, 291 (1054) :451-524
[4]   Evolution of social behavior: Individual and group selection [J].
Bergstrom, TC .
JOURNAL OF ECONOMIC PERSPECTIVES, 2002, 16 (02) :67-88
[5]   MUTATION AND THE EVOLUTION OF VIRULENCE [J].
BONHOEFFER, S ;
NOWAK, MA .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1994, 258 (1352) :133-140
[6]   Group beneficial norms can spread rapidly in a structured population [J].
Boyd, R ;
Richerson, PJ .
JOURNAL OF THEORETICAL BIOLOGY, 2002, 215 (03) :287-296
[7]   NOTE ON THE EVOLUTION OF ALTRUISM IN STRUCTURED DEMES [J].
CHARLESWORTH, B .
AMERICAN NATURALIST, 1979, 113 (04) :601-605
[8]   Group selection for adaptation to multiple-hen cages: Beak-related mortality, feathering, and body weight responses [J].
Craig, JV ;
Muir, WM .
POULTRY SCIENCE, 1996, 75 (03) :294-302
[9]  
Ewens W. J., 2004, Mathematical Population Genetics
[10]  
Feller W., 1968, INTRO PROBABILITY TH