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幂指数异速生长机制模型综述
引用本文:韩文轩,FANG Jing-Yun.幂指数异速生长机制模型综述[J].植物生态学报,2008,32(4):951-960.
作者姓名:韩文轩  FANG Jing-Yun
作者单位:(1 北京大学城市与环境学院生态学系、北京大学地表过程分析与模拟教育部重点实验室,北京 100871) ;(2 中国农业大学资源与环境学院环境科学与工程系,北京 100094)
摘    要: 个体大小对生物的各种生理属性有重要意义, 描述个体大小和生理属性关系的规律叫做异速生长。生物的异速生长通常以幂函数的形 式表示, 在众多的异速生长关系中, Kleiber定律所描述的新陈代谢率和个体大小的3/4幂指数关系最为重要和基本, 解释此有充分数据支持的 定律的机理也最具挑战性。围绕该著名的3/4幂指数异速生长关系, 该文回顾历史上主要的有关模型假说, 并重点介绍1990年代中期以来, 由 West等提出的分形分配网络模型和由其它研究人员建立的代表性模型: 最少载体网络模型、多因理论、最小总熵理论、构造理论、细胞优化生 长理论和能量消耗理论。

关 键 词:异速生长模型  相关生长  分形分配网络  新陈代谢率  最大效率  3/4和2/3幂律

REVIEW ON THE MECHANISM MODELS OF ALLOMETRIC SCALING LAWS: 3/4 VS. 2/3 POWER
HAN Wen-Xuan,FANG Jing-Yun.REVIEW ON THE MECHANISM MODELS OF ALLOMETRIC SCALING LAWS: 3/4 VS. 2/3 POWER[J].Acta Phytoecologica Sinica,2008,32(4):951-960.
Authors:HAN Wen-Xuan  FANG Jing-Yun
Affiliation:1Department of Ecology, Key Laboratory for Earth Surface Processes of the Ministry of Education, Peking University, Beijing 100871, China; 2Department of Environmental Sciences and Engineering, China Agriculture University, Beijing 100094, China
Abstract:Allometric scaling relations are characteristic of all organisms. A challenging task is how the typical allometric scaling relationship—Kleiber’s Law, which depicts the proportionality between the metabolic rate of an animal and its body mass raised to the 3/4 power and is well established and supported by data—can be predicted from a purely theoretical standpoint. Scientists have proposed diverse models to do this, but almost all of the models are criticized for theoretical or methodological difficulties. However, ecologists and physicists recently proposed new models. Here we highlight the Fractal-Like Distribution Network Models and other models, such as Multi-Causes Model, Minimal Overall Entropy Production Model, Constructal Theory, Cell Model and Energy Consumption Model.
Keywords:allometric scaling model  fractal-like distribution network  metabolic rate  maximal efficiency  3/4 and 2/3 power law
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