A mathematical derivation of size spectra in fish populations

被引:13
作者
Arino, O
Shin, YJ
Mullon, C
机构
[1] IRD Bondy, UR GEODES, F-93143 Bondy, France
[2] Ctr Rech Halieut, IRD, F-34203 Sete, France
[3] Univ Cape Town, ZA-7700 Rondebosch, South Africa
关键词
size spectrum; marine population model; size-structured model; cannibalism; semigroup;
D O I
10.1016/j.crvi.2003.11.012
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Taking into account a predator/prey size ratio in a size-structured population model leads to a partial derivative equation of which we study the properties. By expliciting the structure of the attractor of this equation, it is shown that a simple mechanism, size-based opportunistic predation, can explain the stability in the shape of size spectra observed in various marine ecosystems. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
引用
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页码:245 / 254
页数:10
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