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将玻尔兹曼构型熵推广到曲面、点模式和景观镶嵌体。

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

作者信息

Cushman Samuel A

机构信息

USDA Forest Service, Rocky Mountain Research Station, Flagstaff, AZ 86001, USA.

出版信息

Entropy (Basel). 2021 Dec 1;23(12):1616. doi: 10.3390/e23121616.

DOI:10.3390/e23121616
PMID:34945922
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8700675/
Abstract

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.

摘要

最近已经提出了几种基于玻尔兹曼熵来计算构型熵的方法。其中一些方法在应用于景观斑块镶嵌体时似乎在热力学上是完全一致的，但尚未证明有任何一种方法可以完全推广到所有类型的景观格局，如点格局、表面和斑块镶嵌体。本文的目的是评估玻尔兹曼关系的直接应用是否能完全推广到表面、点格局和景观镶嵌体。我用分形中性模型模拟了表面和点格局，以控制它们的聚集程度。我使用空间置换分析来生成微观状态的分布，并拟合函数来预测微观状态的分布和熵函数的形状。结果证实，玻尔兹曼关系的直接应用可以推广到表面、点格局和景观镶嵌体，为计算景观熵提供了一种有用的通用方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/7fed1b4e04b7/entropy-23-01616-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/b6b42f467db2/entropy-23-01616-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/ffc3236f13c4/entropy-23-01616-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/aa95ba5638ce/entropy-23-01616-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/dd2f93d0bbd2/entropy-23-01616-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/f93337046f4a/entropy-23-01616-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/ed1fd6ac92a1/entropy-23-01616-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/4e9227255240/entropy-23-01616-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/660eb381d3fb/entropy-23-01616-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/dd8ec0e5e799/entropy-23-01616-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/7fed1b4e04b7/entropy-23-01616-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/b6b42f467db2/entropy-23-01616-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/ffc3236f13c4/entropy-23-01616-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/aa95ba5638ce/entropy-23-01616-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/dd2f93d0bbd2/entropy-23-01616-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/f93337046f4a/entropy-23-01616-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/ed1fd6ac92a1/entropy-23-01616-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/4e9227255240/entropy-23-01616-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/660eb381d3fb/entropy-23-01616-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/dd8ec0e5e799/entropy-23-01616-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3735/8700675/7fed1b4e04b7/entropy-23-01616-g010.jpg

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本文引用的文献

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Entropy (Basel). 2021 Oct 28;23(11):1420. doi: 10.3390/e23111420.
3
belg: A Tool for Calculating Boltzmann Entropy of Landscape Gradients.贝尔格：一种用于计算景观梯度玻尔兹曼熵的工具。
Entropy (Basel). 2021 Oct 28;23(11):1425. doi: 10.3390/e23111425.
4
Thermodynamic Consistency of the Cushman Method of Computing the Configurational Entropy of a Landscape Lattice.计算景观晶格构型熵的库什曼方法的热力学一致性
Entropy (Basel). 2021 Oct 28;23(11):1420. doi: 10.3390/e23111420.
Entropy (Basel). 2020 Aug 26;22(9):937. doi: 10.3390/e22090937.
4
Thermodynamics in Ecology-An Introductory Review.生态学中的热力学——综述引言
Entropy (Basel). 2020 Jul 27;22(8):820. doi: 10.3390/e22080820.
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Calculating the Wasserstein Metric-Based Boltzmann Entropy of a Landscape Mosaic.计算基于瓦瑟斯坦度量的景观镶嵌体的玻尔兹曼熵。
Entropy (Basel). 2020 Mar 26;22(4):381. doi: 10.3390/e22040381.
6
Calculation of Configurational Entropy in Complex Landscapes.复杂景观中构型熵的计算
Entropy (Basel). 2018 Apr 19;20(4):298. doi: 10.3390/e20040298.