On the mathematical properties of spatial Rao's Q to compute ecosystem heterogeneity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41330%2F24%3A100069" target="_blank" >RIV/60460709:41330/24:100069 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s12080-024-00587-3" target="_blank" >https://link.springer.com/article/10.1007/s12080-024-00587-3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s12080-024-00587-3" target="_blank" >10.1007/s12080-024-00587-3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the mathematical properties of spatial Rao's Q to compute ecosystem heterogeneity

Popis výsledku v původním jazyce

Spatio-ecological heterogeneity has a significant impact on various ecosystem properties, such as biodiversity patterns, variability in ecosystem resources, and species distributions. Given this perspective, remote sensing has gained widespread recognition as a powerful tool for assessing the spatial heterogeneity of ecosystems by analyzing the variability among different pixel values in both space and, potentially, time. Several measures of spatial heterogeneity have been proposed, broadly categorized into abundance-related measures (e.g., Shannon's H) and dispersion-related measures (e.g., Variance). A measure that integrates both abundance and distance information is the Rao's quadratic entropy (Rao's Q index), mainly used in ecology to measure plant diversity based on in-situ based functional traits. The question arises as to why one should use a complex measure that considers multiple dimensions and couples abundance and distance measurements instead of relying solely on simple dispersion-based measures of heterogeneity. This paper sheds light on the spatial version of the Rao's Q index, based on moving windows for its calculation, with a particular emphasis on its mathematical and statistical properties. The main objective is to theoretically demonstrate the strength of Rao's Q index in measuring heterogeneity, taking into account all its potential facets and applications, including (i) integrating multivariate data, (ii) applying differential weighting to pixels, and (iii) considering differential weighting of distances among pixel reflectance values in spectral space.

Název v anglickém jazyce

On the mathematical properties of spatial Rao's Q to compute ecosystem heterogeneity

Popis výsledku anglicky

Spatio-ecological heterogeneity has a significant impact on various ecosystem properties, such as biodiversity patterns, variability in ecosystem resources, and species distributions. Given this perspective, remote sensing has gained widespread recognition as a powerful tool for assessing the spatial heterogeneity of ecosystems by analyzing the variability among different pixel values in both space and, potentially, time. Several measures of spatial heterogeneity have been proposed, broadly categorized into abundance-related measures (e.g., Shannon's H) and dispersion-related measures (e.g., Variance). A measure that integrates both abundance and distance information is the Rao's quadratic entropy (Rao's Q index), mainly used in ecology to measure plant diversity based on in-situ based functional traits. The question arises as to why one should use a complex measure that considers multiple dimensions and couples abundance and distance measurements instead of relying solely on simple dispersion-based measures of heterogeneity. This paper sheds light on the spatial version of the Rao's Q index, based on moving windows for its calculation, with a particular emphasis on its mathematical and statistical properties. The main objective is to theoretically demonstrate the strength of Rao's Q index in measuring heterogeneity, taking into account all its potential facets and applications, including (i) integrating multivariate data, (ii) applying differential weighting to pixels, and (iii) considering differential weighting of distances among pixel reflectance values in spectral space.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10618 - Ecology

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Theoretical Ecology

ISSN

1874-1738

e-ISSN

1874-1738

Svazek periodika

17

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

8

Strana od-do

247-254

Kód UT WoS článku

001269716600001

EID výsledku v databázi Scopus

2-s2.0-85198056296