title: A generalized approach to the modeling of the species-area relationship.
abstract: This paper proposes a statistical generalized species-area model (GSAM) to represent various patterns of species-area relationship (SAR), which is one of the fundamental patterns in ecology. The approach enables the generalization of many preliminary models, as power-curve model, which is commonly used to mathematically describe the SAR. The GSAM is applied to simulated data set of species diversity in areas of different sizes and a real-world data of insects of Hymenoptera order has been modeled. We show that the GSAM enables the identification of the best statistical model and estimates the number of species according to the area.
authors.affiliation: Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, São Paulo, Brazil.
authors.forename: Katiane Silva
authors.initials: KS
authors.lastname: Conceição
authors.affiliation: Department of Animal Ecology, Nicolaus Copernicus University in Toruń, Toruń, Poland.
authors.forename: Werner
authors.initials: W
authors.lastname: Ulrich
authors.affiliation: Department of Statistics, Federal University of São Carlos, São Carlos, Brazil.
authors.forename: Carlos Alberto Ribeiro
authors.initials: CA
authors.lastname: Diniz
authors.affiliation: Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, São Paulo, Brazil.
authors.forename: Francisco Aparecido
authors.initials: FA
authors.lastname: Rodrigues
authors.affiliation: Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, São Paulo, Brazil.
authors.forename: Marinho Gomes
authors.initials: MG
authors.lastname: de Andrade
mesh_terms: D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D004463:Ecology; D006927:Hymenoptera / Q000502:physiology; D008954:Models, Biological; D015233:Models, Statistical; D011156:Population Density