Diversity patterns from ecological models at dynamical equilibrium

被引:16
作者
Bastolla, U [1 ]
Lässig, M
Manrubia, SC
Valleriani, A
机构
[1] Max Planck Inst Colloids & Interfaces, Div Theory, D-14424 Potsdam, Germany
[2] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany
关键词
D O I
10.1006/jtbi.2001.2324
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We study a dynamic model of ecosystems where an immigration flux assembles the species community and maintains its biodiversity. This framework is particularly relevant for insular ecosystems. Population dynamics is represented either as an individual-based model or as a set of deterministic equations for population abundances. Local extinctions and immigrations balance at a statistically stationary state where biodiversity fluctuates around a constant mean value. We find a number of scaling laws characterizing this stationary state. In particular, the number of species increases as a power law of the immigration rate. With additional assumptions on the immigration flux, we obtain species-area relationships in agreement with observations for archipelagos. We also find power-law distributions for species abundances and lifetimes. (C) 2001 Academic Press.
引用
收藏
页码:11 / 34
页数:24
相关论文
共 63 条
[1]   The nature of predation: prey dependent, ratio dependent or neither? [J].
Abrams, PA ;
Ginzburg, LR .
TRENDS IN ECOLOGY & EVOLUTION, 2000, 15 (08) :337-341
[2]   ENDEMISM IN BIRDS OF TROPICAL PACIFIC ISLANDS [J].
ADLER, GH .
EVOLUTIONARY ECOLOGY, 1992, 6 (04) :296-306
[3]  
Allee W.G., 1949, PRINCIPLES ANIMAL EC
[4]   COUPLING IN PREDATOR PREY DYNAMICS - RATIO-DEPENDENCE [J].
ARDITI, R ;
GINZBURG, LR .
JOURNAL OF THEORETICAL BIOLOGY, 1989, 139 (03) :311-326
[5]  
Arditi R, 1995, FOOD WEBS INTEGRATIO
[6]   Finite size scaling in ecology [J].
Banavar, JR ;
Green, JL ;
Harte, J ;
Maritan, A .
PHYSICAL REVIEW LETTERS, 1999, 83 (20) :4212-4214
[7]   Population cycles and spatial patterns in snowshoe hares: an individual-oriented simulation [J].
Bascompte, J ;
Sole, RV ;
Martinez, N .
JOURNAL OF THEORETICAL BIOLOGY, 1997, 187 (02) :213-222
[8]  
BEGON M, 1998, ECOLOGY
[9]   Virtual biologists observe virtual grasshoppers: an assessment of different mobility parameters for the analysis of movement patterns [J].
Berger, U ;
Wagner, G ;
Wolff, WF .
ECOLOGICAL MODELLING, 1999, 115 (2-3) :119-127
[10]   Generic emergence of power law distributions and Levy-Stable intermittent fluctuations in discrete logistic systems [J].
Biham, O ;
Malcai, O ;
Levy, M ;
Solomon, S .
PHYSICAL REVIEW E, 1998, 58 (02) :1352-1358