Common patterns of energy flow and biomass distribution on weighted food webs

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• 作者：Jiang Zhang<sup> ; sup><sup>zhangjiang@bnu.edu.cn" class="auth_mailsup> ; Yuanjing Feng
• 关键词：Weighted food webs ; Energy flow distribution ; Scaling relations ; Allometric scaling ; Gravity law ; DGBD rank-ordered curve
• 刊名：Physica A
• 出版年：1 July, 2014
• 年：2014
• 卷：405
• 期：Complete
• 页码：278-288
• 全文大小：751 K

文摘

Weights of edges and nodes on food webs which are available from the empirical data hide much information about energy flows and biomass distributions in ecosystem. We define a set of variables related to weights for each species , including the throughflow , the total biomass , and the dissipated flow (output to the environment) to uncover the following common patterns in 19 empirical weighted food webs: (1) DGBD distributions (Discrete version of a Generalized Beta Distribution), a kind of deformed Zipf鈥檚 law, of energy flow and storage biomass; (2) The allometric scaling law , which can be viewed as the counterpart of the Kleiber鈥檚 law at the population level; (3) The dissipation law ; and (4) The gravity law, including univariate version and bivariate approvement . These patterns are very common and significant in all collected webs, as a result, some remarkable regularities are hidden in weights.