CHAOS IN ECOLOGY - IS MOTHER-NATURE A STRANGE ATTRACTOR

被引:400
作者
HASTINGS, A
HOM, CL
ELLNER, S
TURCHIN, P
GODFRAY, HCJ
机构
[1] UNIV CALIF DAVIS,INST THEORET DYNAM,DAVIS,CA 95616
[2] UNIV CALIF DAVIS,DEPT MATH,DAVIS,CA 95616
[3] N CAROLINA STATE UNIV,DEPT STAT,BIOMATH PROGRAM,RALEIGH,NC 27695
[4] US FOREST SERV,SO FOREST EXPT STN,PINEVILLE,LA 71360
[5] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT BIOL,ASCOT SL5 7PY,BERKS,ENGLAND
[6] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,NERC,CTR POPULAT BIOL,ASCOT SL5 7PY,BERKS,ENGLAND
来源
ANNUAL REVIEW OF ECOLOGY AND SYSTEMATICS | 1993年 / 24卷
关键词
STABILITY; STOCHASTICITY; DYNAMICS; LYAPUNOV EXPONENTS; TIME SERIES; MODELS;
D O I
10.1146/annurev.es.24.110193.000245
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
We review the role of chaos and the study of chaos in ecology. We use sensitive dependence on initial conditions as the best heuristic definition of chaos. This definition forms the common theme for our review of approaches for demonstrating the importance of chaos in ecology. We emphasize that this definition of chaos can include the effects of noise, and that there is no dichotomy between stochasticity and chaos. We review three classes of approaches for studying chaos in ecology: models, analysis of time series, and experiments. Current ideas from modelling approaches demonstrate the plausibility of chaos. New approaches for analyzing time series are based on using the presence of a positive Lvapunov exponent to indicate sensitive dependence on initial conditions. The methods can deal with relatively short time series that include the effects of noise, with chaotic dynamics appearing in at least some cases. Experimental work is just beginning, spurred by modelling results and the new methods for analyzing times series. We suggest directions tor further work in each of these approaches.
引用
收藏
页码:1 / 33
页数:33
相关论文
共 165 条
[1]  
ABARBANEL HDI, 1993, IN PRESS REV MOD PHY
[2]  
ABRAHAM NB, 1989, MEASURES COMPEXITY C
[3]  
Abraham R., 1992, DYNAMICS GEOMETRY BE
[4]  
Albano AM, 1987, CHAOS BIOLOG SYST, P207, DOI 10.1007/978-1-4757-9631-5_24
[5]   PATCH-EFFICIENT PARASITOIDS, CHAOS AND NATURAL-SELECTION [J].
ALLEN, JC .
FLORIDA ENTOMOLOGIST, 1989, 72 (01) :52-64
[7]   FACTORS CONTRIBUTING TO CHAOS IN POPULATION FEEDBACK-SYSTEMS [J].
ALLEN, JC .
ECOLOGICAL MODELLING, 1990, 51 (3-4) :281-298
[9]  
ALLEN JC, 1989, LECTURE NOTES STATIS, V55, P190
[10]   CHAOS FROM LINEAR FREQUENCY-DEPENDENT SELECTION [J].
ALTENBERG, L .
AMERICAN NATURALIST, 1991, 138 (01) :51-68