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Bahadur Representation of Nonparametric M-Estimators for spatial processes

Acta Mathematica Sinica,English Series 2008年第11期24卷 1871-1882页

作者： Jia CHEN De Gui LI Li Xin ZHANG Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China

Under some mild conditions, we establish a strong Bahadur representation of a general class of nonparametric local linear M-estimators for mixing processes on a random field. If the socalled optimal bandwidth hn = O（｜n｜^-1/5）, n ∈ Z^d, is chosen, then the remainder rates in the Bahadur representation for the local M-estimators of the regression function and its derivative are of order O（｜n｜^-4/5 log ｜n｜）. Moreover, we derive some asymptotic properties for the nonparametric local linear M-estimators as applications of our result.

关键词： Bahadur representation local linear M-estimator spatial processes strongly mixing

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Environmental filtering and spatial processes equally contributed to macroinvertebrate metacommunity dynamics in the highly urbanized river networks in Shenzhen, South China

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Ecological processes 2021年第1期10卷 316-327页

作者： Zhenyuan Liu Tingting Zhou Yongde Cui Zhengfei Li Weimin Wang Yushun Chen Zhicai Xie Institute of Hydrobiology Chinese Academy of SciencesWuhan 430072HubeiChina University of Chinese Academy of Sciences Beijing 100049China Central Station for Environmental Monitoring and Assessment Shenzhen 518049GuangdongChina.

Background:Disentangling the relative roles of environmental filtering and spatial processes in structuring ecological communities is a central topic in metacommunity *** ecology in the temperate river ecosystems has been well developed,while less attention has been paid to subtropical urban river ***,we examined the ecological factors and seasonal difference in structuring macroinvertebrates metacommunity assembly in the subtropical urban river networks in Shenzhen,South ***:Our results revealed that there was no significant distinction of macroinvertebrate community composition among seasons,with only the relative abundance of Mollusca and Odonata significantly differed in both wet and dry *** possible explanation was that most macroinvertebrates are generally pollution-tolerant taxa characterized with nonseasonal life *** addition,distance-based redundancy analysis and variation partitioning approach revealed that metacommunity was determined equally by the environmental and dispersal-related ***,our results showed that,although a slight temporal variation of relative contribution,the identity and explanation power of ecological factors were different among ***,stronger environmental filtering structuring community dynamics was observed in the dry than wet seasons,which might be owing to higher environmental heterogeneity under a low water-flow ***,we detected that the influence of spatial processes was stronger in the wet than dry seasons,indicating an obvious dispersal processes due to high connectivity among ***:Overall,our results revealed that environmental and spatial factors equally explained variations of macroinvertebrate metacommunity,implying the necessity of considering dispersal-related processes structuring ecological communities in river bioassessment ***,degraded habitat conditions and water quality were the predominant factors

关键词： Community assembly Seasonal variation Macroinvertebrate metacommunity Environmental filtering spatial processes Urban river

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