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Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics

Several methods have been recently proposed to calculate configurational entropy, based on Boltzmann entropy. Some of these methods appear to be fully thermodynamically consistent in their application to landscape patch mosaics, but none have been shown to be fully generalizable to all kinds of land...

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Detalles Bibliográficos
Autor principal: Cushman, Samuel A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700675/
https://www.ncbi.nlm.nih.gov/pubmed/34945922
http://dx.doi.org/10.3390/e23121616
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author Cushman, Samuel A.
author_facet Cushman, Samuel A.
author_sort Cushman, Samuel A.
collection PubMed
description Several methods have been recently proposed to calculate configurational entropy, based on Boltzmann entropy. Some of these methods appear to be fully thermodynamically consistent in their application to landscape patch mosaics, but none have been shown to be fully generalizable to all kinds of landscape patterns, such as point patterns, surfaces, and patch mosaics. The goal of this paper is to evaluate if the direct application of the Boltzmann relation is fully generalizable to surfaces, point patterns, and landscape mosaics. I simulated surfaces and point patterns with a fractal neutral model to control their degree of aggregation. I used spatial permutation analysis to produce distributions of microstates and fit functions to predict the distributions of microstates and the shape of the entropy function. The results confirmed that the direct application of the Boltzmann relation is generalizable across surfaces, point patterns, and landscape mosaics, providing a useful general approach to calculating landscape entropy.
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spelling pubmed-87006752021-12-24 Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics Cushman, Samuel A. Entropy (Basel) Article Several methods have been recently proposed to calculate configurational entropy, based on Boltzmann entropy. Some of these methods appear to be fully thermodynamically consistent in their application to landscape patch mosaics, but none have been shown to be fully generalizable to all kinds of landscape patterns, such as point patterns, surfaces, and patch mosaics. The goal of this paper is to evaluate if the direct application of the Boltzmann relation is fully generalizable to surfaces, point patterns, and landscape mosaics. I simulated surfaces and point patterns with a fractal neutral model to control their degree of aggregation. I used spatial permutation analysis to produce distributions of microstates and fit functions to predict the distributions of microstates and the shape of the entropy function. The results confirmed that the direct application of the Boltzmann relation is generalizable across surfaces, point patterns, and landscape mosaics, providing a useful general approach to calculating landscape entropy. MDPI 2021-12-01 /pmc/articles/PMC8700675/ /pubmed/34945922 http://dx.doi.org/10.3390/e23121616 Text en © 2021 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Cushman, Samuel A.
Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics
title Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics
title_full Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics
title_fullStr Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics
title_full_unstemmed Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics
title_short Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics
title_sort generalizing boltzmann configurational entropy to surfaces, point patterns and landscape mosaics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700675/
https://www.ncbi.nlm.nih.gov/pubmed/34945922
http://dx.doi.org/10.3390/e23121616
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