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Varying coefficient analysis for indeterminate species interactions with non-parametric estimation, exemplifying with a fig-fig wasp system

ISSN号：1674-5639
期刊名称：《昆明学院学报》
时间：0
分类：O212.7[理学—概率论与数理统计;理学—数学] TB612[一般工业技术—制冷工程]
作者机构：[1]Statistics and Mathematics School, Yunnan University of Finance and Economics, Kunming 650221, China, [2]Ecology, Conservation, and Environment Center (ECEC), State Key Laboratory of Genetic Resources and Evolution, Kunming Institute of Zoo-logy, Chinese Academy of Sciences, Kunming 650223, China, [3]Department of Mathematics, Hong Kong Baptist University, Hong Kong, China, [4]Scientific and Technical Department, Yunnan University of Nationalities, Kunming 650031, China, [5]Statistics College, RenMing University of China, Beijing 100080, China
相关基金：We thank for Dr. Zhu LiPing and one anonymous reviewer for their useful comments and revisions suggested for this paper. This work was supported by the National Basic Research Program of China （2007CB411600）, National Natural Science Foundation of China （30670272, 30770500 and 10761010）, the Natural Science Foundation of Yunnan Province （2009- CD104）, the West Light Foundation of the Chinese Academy of Sciences, Special Fund for the Excellent Youth of the Chinese Academy of Sciences （KSCX2-EW-Q-9）, State Key Laboratory of Genetic Resources and Evolution, the National Social Science Foundation of China （08XTJ001） and Research Grants Council of Hong Kong （HKBU2030/07P）.

作者： SHI Lei[1], WANG RuiWu[2], ZHU LiXing[3], ZEN WeiMing[4], XU WangLi[5], ZHENG Qi[2]

关键词：相互作用系数, 非参数估计, 混沌系统, 无花果, 物种, 非线性参数, 例证, 小蜂, species interaction, non-parametric estimation, correlation coefficient, varying coefficient analysis, chaotic oscillations,density dependence, indeterminate interaction

中文摘要：

关于种类相互作用的研究通常假设了种类有一个固定相互作用和因此线性或非线性的参量的回归模型(例如指数，逻辑) 广泛地被用来描述种类相互作用。然而，例如，不把在交往的种类之间的关系描述为特定的功能的反应力量的这些模型在一个混乱系统为真实生物社区是适当的，当种类关系在不同状况之中变化时。允许对关系的更精确的描述，我们与改变系数分析，一个非参量的评价在被使用识别开发了一个种类关联模型作为相关因素的功能，在关联系数的变化。这被用于一个微量微量黄蜂模型系统。当关系上的因素的效果能与参数被描述时，新方法归结为传统的参量的关联分析。这样，新方法是为实验数据分析更一般、灵活，却由允许一个种类相互作用是否关于因素变化，并且维持或变化种类相互作用的因素的调查不同。这个方法将在理论、适用的研究有重要应用程序(例如传染病学，社区管理) 。

英文摘要：

Research on species interactions has generally assumed that species have a fixed interaction and therefore linear or non-linear parametric regression models （e.g. exponential, logistic） have been widely used to describe the species interaction. However, these models that describe the relationship between interacting species as a specific functional response might not be appropriate for real biological communities, for instance, in a chaotic system, when the species relationship varies among different situations. To allow a more accurate description of the relationship, we developed a species correlation model with varying coefficient analysis, in which a non-parametric estimation is applied to identify, as a function of related factors, variation in the correlation coefficient. This was applied to a fig-fig wasp model system. When the effect of the factors on the relationship can be described with parame- ters, the new method reduces to traditional parametric correlation analysis. In this way, the new method is more general and flexi- ble for empirical data analyses, but different by allowing investigation of whether a species interaction varies with respect to fac- tors, and of the factors that maintain or change the species interaction. This method will have important applications in both theo- retical and applied research （e.g. epidemiology, community management）.

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