• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

计算基于瓦瑟斯坦度量的景观镶嵌体的玻尔兹曼熵。

Calculating the Wasserstein Metric-Based Boltzmann Entropy of a Landscape Mosaic.

作者信息

Zhang Hong, Wu Zhiwei, Lan Tian, Chen Yanyu, Gao Peichao

机构信息

Faculty of Geosciences & Environmental Engineering, Southwest Jiaotong University, Chengdu 611756, China.

State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing 100875, China.

出版信息

Entropy (Basel). 2020 Mar 26;22(4):381. doi: 10.3390/e22040381.

DOI:10.3390/e22040381
PMID:33286154
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7516855/
Abstract

Shannon entropy is currently the most popular method for quantifying the disorder or information of a spatial data set such as a landscape pattern and a cartographic map. However, its drawback when applied to spatial data is also well documented; it is incapable of capturing configurational disorder. In addition, it has been recently criticized to be thermodynamically irrelevant. Therefore, Boltzmann entropy was revisited, and methods have been developed for its calculation with landscape patterns. The latest method was developed based on the Wasserstein metric. This method incorporates spatial repetitiveness, leading to a Wasserstein metric-based Boltzmann entropy that is capable of capturing the configurational disorder of a landscape mosaic. However, the numerical work required to calculate this entropy is beyond what can be practically achieved through hand calculation. This study developed a new software tool for conveniently calculating the Wasserstein metric-based Boltzmann entropy. The tool provides a user-friendly human-computer interface and many functions. These functions include multi-format data file import function, calculation function, and data clear or copy function. This study outlines several essential technical implementations of the tool and reports the evaluation of the software tool and a case study. Experimental results demonstrate that the software tool is both efficient and convenient.

摘要

香农熵是目前用于量化空间数据集（如景观格局和地图）的无序性或信息量的最流行方法。然而，其应用于空间数据时的缺点也有充分记载；它无法捕捉构型无序。此外，最近有人批评它与热力学无关。因此，人们重新审视了玻尔兹曼熵，并开发了用景观格局计算玻尔兹曼熵的方法。最新的方法是基于瓦瑟斯坦度量开发的。该方法纳入了空间重复性，从而得到了一种基于瓦瑟斯坦度量的玻尔兹曼熵，它能够捕捉景观镶嵌体的构型无序。然而，计算这种熵所需的数值工作超出了通过手工计算实际所能达到的范围。本研究开发了一种新的软件工具，用于方便地计算基于瓦瑟斯坦度量的玻尔兹曼熵。该工具提供了用户友好的人机界面和许多功能。这些功能包括多格式数据文件导入功能、计算功能以及数据清除或复制功能。本研究概述了该工具的几个基本技术实现，并报告了对该软件工具的评估和一个案例研究。实验结果表明，该软件工具既高效又方便。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/b44794b644de/entropy-22-00381-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/ef7147d37001/entropy-22-00381-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/b1276eb71acb/entropy-22-00381-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/c5d549ac0079/entropy-22-00381-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/3f3af83c8849/entropy-22-00381-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/ed0c52241453/entropy-22-00381-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/5ef1136db08e/entropy-22-00381-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/fe6ad5cee30a/entropy-22-00381-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/d6a93a041665/entropy-22-00381-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/dfc622e41d02/entropy-22-00381-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/bdea27effcdb/entropy-22-00381-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/b44794b644de/entropy-22-00381-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/ef7147d37001/entropy-22-00381-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/b1276eb71acb/entropy-22-00381-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/c5d549ac0079/entropy-22-00381-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/3f3af83c8849/entropy-22-00381-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/ed0c52241453/entropy-22-00381-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/5ef1136db08e/entropy-22-00381-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/fe6ad5cee30a/entropy-22-00381-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/d6a93a041665/entropy-22-00381-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/dfc622e41d02/entropy-22-00381-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/bdea27effcdb/entropy-22-00381-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c85f/7516855/b44794b644de/entropy-22-00381-g011.jpg

相似文献

1
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.
2
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). 2020 Aug 26;22(9):937. doi: 10.3390/e22090937.
3
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.
4
Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics.将玻尔兹曼构型熵推广到曲面、点模式和景观镶嵌体。
Entropy (Basel). 2021 Dec 1;23(12):1616. doi: 10.3390/e23121616.
5
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.
6
Thermodynamics-Based Evaluation of Various Improved Shannon Entropies for Configurational Information of Gray-Level Images.基于热力学的灰度图像构型信息各种改进香农熵评估
Entropy (Basel). 2018 Jan 2;20(1):19. doi: 10.3390/e20010019.
7
Wasserstein-based texture analysis in radiomic studies.基于 Wasserstein 的纹理分析在放射组学研究中的应用。
Comput Med Imaging Graph. 2022 Dec;102:102129. doi: 10.1016/j.compmedimag.2022.102129. Epub 2022 Oct 19.
8
Calculation of configurational entropy with a Boltzmann-quasiharmonic model: the origin of high-affinity protein-ligand binding.用玻尔兹曼-准简谐模型计算构象熵：高亲和力蛋白-配体结合的起源。
J Phys Chem B. 2011 Aug 4;115(30):9461-72. doi: 10.1021/jp111176x. Epub 2011 Jul 8.
9
Entropy in Landscape Ecology: A Quantitative Textual Multivariate Review.景观生态学中的熵：定量文本多变量综述
Entropy (Basel). 2021 Oct 28;23(11):1425. doi: 10.3390/e23111425.
10
Rank order entropy: why one metric is not enough.秩次熵：为何一种度量指标并不够。
J Chem Inf Model. 2011 Sep 26;51(9):2302-19. doi: 10.1021/ci200170k. Epub 2011 Aug 29.

引用本文的文献

1
Multispectral Remote Sensing Data Application in Modelling Non-Extensive Tsallis Thermodynamics for Mountain Forests in Northern Mongolia.多光谱遥感数据在蒙古国北部山区森林非广延Tsallis热力学建模中的应用
Entropy (Basel). 2023 Dec 13;25(12):1653. doi: 10.3390/e25121653.
2
Entropy, Ecology and Evolution: Toward a Unified Philosophy of Biology.《熵、生态学与进化：迈向统一的生物学哲学》
Entropy (Basel). 2023 Feb 23;25(3):405. doi: 10.3390/e25030405.
3
Generalizing Boltzmann Configurational Entropy to Surfaces, Point Patterns and Landscape Mosaics.

本文引用的文献

1
Spatial Heterogeneity Analysis: Introducing a New Form of Spatial Entropy.空间异质性分析：引入一种新的空间熵形式。
Entropy (Basel). 2018 May 23;20(6):398. doi: 10.3390/e20060398.
2
Editorial: Entropy in Landscape Ecology.社论：景观生态学中的熵
Entropy (Basel). 2018 Apr 25;20(5):314. doi: 10.3390/e20050314.
3
Calculation of Configurational Entropy in Complex Landscapes.复杂景观中构型熵的计算
将玻尔兹曼构型熵推广到曲面、点模式和景观镶嵌体。
Entropy (Basel). 2021 Dec 1;23(12):1616. doi: 10.3390/e23121616.
4
Entropy in Landscape Ecology: A Quantitative Textual Multivariate Review.景观生态学中的熵：定量文本多变量综述
Entropy (Basel). 2021 Oct 28;23(11):1425. doi: 10.3390/e23111425.
5
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.
6
Entropy of the Land Parcel Mosaic as a Measure of the Degree of Urbanization.作为城市化程度衡量指标的地块镶嵌体熵
Entropy (Basel). 2021 Apr 28;23(5):543. doi: 10.3390/e23050543.
7
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). 2020 Aug 26;22(9):937. doi: 10.3390/e22090937.
8
Use of Entropy in Developing SDG-based Indices for Assessing Regional Sustainable Development: A Provincial Case Study of China.熵在构建基于可持续发展目标的区域可持续发展评估指标中的应用：以中国某省为例
Entropy (Basel). 2020 Apr 2;22(4):406. doi: 10.3390/e22040406.
9
Use and Abuse of Entropy in Biology: A Case for Caliber.生物学中熵的使用与滥用：以“口径”为例
Entropy (Basel). 2020 Nov 25;22(12):1335. doi: 10.3390/e22121335.
Entropy (Basel). 2018 Apr 19;20(4):298. doi: 10.3390/e20040298.
4
Thermodynamics-Based Evaluation of Various Improved Shannon Entropies for Configurational Information of Gray-Level Images.基于热力学的灰度图像构型信息各种改进香农熵评估
Entropy (Basel). 2018 Jan 2;20(1):19. doi: 10.3390/e20010019.
5
Entropy, complexity, and spatial information.熵、复杂性与空间信息。
J Geogr Syst. 2014;16(4):363-385. doi: 10.1007/s10109-014-0202-2. Epub 2014 Sep 24.