A NEW CLASS OF FLEXIBLE LINK FUNCTIONS WITH APPLICATION TO SPECIES CO-OCCURRENCE IN CAPE FLORISTIC REGION

• 成果类型: Article
• 署名作者: Jiang, Xun; Dey, Dipak K.; Prunier, Rachel; Wilson, Adam M.; Holsinger, Kent E.
• 署名单位: University of Connecticut; Yale University; Connecticut State University System; Western Connecticut State University; University of Connecticut
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/13-AOAS663
• 发表日期: 2013
• 页码: 2180-2204
• 关键词: binary; models; regression; EVOLUTION; families; rates

摘要

Understanding the mechanisms that allow biological species to co-occur is of great interest to ecologists. Here we investigate the factors that influence co-occurrence of members of the genus Protea in the Cape Floristic Region of southwestern Africa, a global hot spot of biodiversity. Due to the binomial nature of our response, a critical issue is to choose appropriate link functions for the regression model. In this paper we propose a new family of flexible link functions for modeling binomial response data. By introducing a power parameter into the cumulative distribution function (c.d.f.) corresponding to a symmetric link function and its mirror reflection, greater flexibility in skewness can be achieved in both positive and negative directions. Through simulated data sets and analysis of the Protea co-occurrence data, we show that the proposed link function is quite flexible and performs better against link misspecification than standard link functions.