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Article Dans Une Revue Global Ecology and Biogeography Année : 2021

From zero to infinity: Minimum to maximum diversity of the planet by spatio‐parametric Rao’s quadratic entropy

Duccio Rocchini
Matteo Marcantonio
Daniele da Re
Giovanni Bacaro
Enrico Feoli
Giles Foody
Reinhard Furrer
Ryan Harrigan
David Kleijn
Martina Iannacito
  • Fonction : Auteur
Meixi Lin
Marco Malavasi
Elisa Marchetto
  • Fonction : Auteur
Rachel Meyer
Vítězslav Moudry
Fabian Schneider
Petra Šímová
Andrew Thornhill
Elisa Thouverai
  • Fonction : Auteur
Saverio Vicario
Robert Wayne
Carlo Ricotta

Résumé

Aim. The majority of work done to gather information on the Earth's biodiversity has been carried out using in-situ data, with known issues related to epistemology (e.g., species determination and taxonomy), spatial uncertainty, logistics (time and costs), among others. An alternative way to gather information about spatial ecosystem variability is the use of satellite remote sensing. It works as a powerful tool for attaining rapid and standardized information. Several metrics used to calculate remotely sensed diversity of ecosystems are based on Shannon’s information theory, namely on the differences in relative abundance of pixel reflectances in a certain area. Additional metrics like the Rao’s quadratic entropy allow the use of spectral distance beside abundance, but they are point descriptors of diversity, that is they can account only for a part of the whole diversity continuum. The aim of this paper is thus to generalize the Rao’s quadratic entropy by proposing its parameterization for the first time. Innovation. The parametric Rao’s quadratic entropy, coded in R, (a) allows the representation of the whole continuum of potential diversity indices in one formula, and (b) starting from the Rao’s quadratic entropy, allows the explicit use of distances among pixel reflectance values, together with relative abundances. Main conclusions. The proposed unifying measure is an integration between abundance- and distance-based algorithms to map the continuum of diversity given a satellite image at any spatial scale. Being part of the rasterdiv R package, the proposed method is expected to ensure high robustness and reproducibility.
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Dates et versions

hal-03363010 , version 1 (03-11-2021)

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Duccio Rocchini, Matteo Marcantonio, Daniele da Re, Giovanni Bacaro, Enrico Feoli, et al.. From zero to infinity: Minimum to maximum diversity of the planet by spatio‐parametric Rao’s quadratic entropy. Global Ecology and Biogeography, 2021, 30 (5), pp.1153-1162. ⟨10.1111/geb.13270⟩. ⟨hal-03363010⟩
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