Re-examination of the '"3/4-law" of metabolism
Re-examination of the '"3/4-law" of metabolism
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DOI：
10.1006/jtbi.2000.2238
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发表时间：
2001-03-07
影响因子：
2
通讯作者：
Weitz, JS
中科院分区：
文献类型：
--
作者：
Dodds, PS;Rothman, DH;Weitz, JS
我们研究了与\(M^{-\alpha}\)成正比的标度律\(B\)，它将生物体的静息代谢率\(B\)与生物体质量\(M\)联系起来，其中\(\alpha\)通常被认为是\(3/4\)。由于简单的量纲分析表明\(\alpha = 2/3\)，我们认为这是一个可通过实证研究检验的零假设。我们重新分析了由赫斯纳、贝内特和哈维、巴特尔斯、赫明森、布罗迪以及克莱伯汇编的哺乳动物和鸟类数据集，发现几乎没有证据支持拒绝\(\alpha = 2/3\)而偏向\(\alpha = 3/4\)。对于哺乳动物，我们发现对于较大质量，标度可能出现崩溃，这反映在\(\alpha\)的系统性增加上。我们还回顾了基于量纲分析、营养供应网络和四维生物学对\(\alpha = 3/4\)的理论依据。我们发现，目前关于\(\alpha = 3/4\)的理论需要一些假设，这些假设使得它们在拒绝\(\alpha = 2/3\)的零假设时缺乏说服力。（C）2001年学术出版社
We examine the scaling Law B proportional to M-alpha which connects organismal resting metabolic rate B with organismal mass M, where alpha is commonly held to be 3/4. Since simple dimensional analysis suggests alpha = 2/3, we consider this to be a null hypothesis testable by empirical studies. We re-analyse data sets for mammals and birds compiled by Heusner, Bennett and Harvey, Bartels, Hemmingsen, Brody, and Kleiber, and find little evidence for rejecting alpha = 2/3 in favor of alpha = 3/4. For mammals, we find a possible breakdown in scaling for larger masses reflected in a systematic increase in alpha. We also review theoretical justifications of alpha = 3/4 based on dimensional analysis, nutrient-supply networks, and four-dimensional biology. We find that present theories for alpha = 3/4 require assumptions that render them unconvincing for rejecting the null hypothesis that alpha = 2/3. (C) 2001 Academic Press.