Skip to Main content Skip to Navigation
Journal articles

Lack of definition of mathematical terms in ecology: The case of the sigmoid class of functions in macro‐ecology

Abstract : Defining mathematical terms and objects is a constant issue in ecology; often definitions are absent, erroneous, or imprecise. Through a bibliographic prospection, we show that this problem appears in macro-ecology (biogeography and community ecology) where the lack of definition for the sigmoid class of functions results in difficulties of interpretation and communication. In order to solve this problem and to help harmonize papers that use sigmoid functions in ecology, herein we propose a comprehensive definition of these mathematical objects. In addition, to facilitate their use, we classified the functions often used in the ecological literature, specifying the constraints on the parameters for the function to be defined and the curve shape to be sigmoidal. Finally, we interpreted the different properties of the functions induced by the definition through ecological hypotheses in order to support and explain the interest of such functions in ecology and more precisely in biogeography.
Document type :
Journal articles
Complete list of metadata

https://hal.inrae.fr/hal-03079093
Contributor : Ugoline Godeau <>
Submitted on : Thursday, December 17, 2020 - 9:44:41 AM
Last modification on : Monday, April 12, 2021 - 10:48:01 AM

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Links full text

Identifiers

Collections

Citation

Ugoline Godeau, Christophe Bouget, Jérémy Piffady, Tiffani Pozzi, Frédéric Gosselin. Lack of definition of mathematical terms in ecology: The case of the sigmoid class of functions in macro‐ecology. Ecology and Evolution, Wiley Open Access, 2020, 10 (24), pp.14209-14220. ⟨10.1002/ece3.7016⟩. ⟨hal-03079093⟩

Share

Metrics

Record views

43