Computation of the Boltzmann entropy of a landscape: a review and a generalization
Context A key goal of landscape ecology is to understand landscape ecological processes across space and through time, with reference to the central organizing principles of nature. Towards this goal, Boltzmann (or thermodynamic) entropy has been widely used in a conceptual way to link these process...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gao, Peichao [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Nature B.V. 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Landscape ecology - Springer Netherlands, 1987, 34(2019), 9 vom: 11. Mai, Seite 2183-2196 |
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| Übergeordnetes Werk: |
volume:34 ; year:2019 ; number:9 ; day:11 ; month:05 ; pages:2183-2196 |
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| DOI / URN: |
10.1007/s10980-019-00814-x |
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OLC2075241473 |
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| 520 | |a Context A key goal of landscape ecology is to understand landscape ecological processes across space and through time, with reference to the central organizing principles of nature. Towards this goal, Boltzmann (or thermodynamic) entropy has been widely used in a conceptual way to link these processes to thermodynamic laws, but it has seldom been computed because of a lack of feasible methods since its formulation in 1872. This situation will probably change because such methods have been developed very recently. Objectives To present a timely, comprehensive review and an analysis of such methods. Methods A systematic survey of the efforts to compute the Boltzmann entropy of a landscape was performed. The consistency of different computational methods was investigated. Results In the review, two classes of methods were identified. The methods were developed from distinct ideas, apply to different landscape models (landscape mosaics and gradients), and result in different Boltzmann entropies. Thus, a general method for both landscape models would be desirable for consistent thermodynamic interpretations. Towards this goal, an approach was suggested to extend the method for mosaics to gradients or vice versa. Possible strategies for both extensions were theoretically analyzed and experimentally tested. Problems of each extension were revealed. Conclusions These recently developed methods can be regarded as first steps in the computation of Boltzmann entropy for landscapes. This computation still requires much attention. Future research is recommended to improve the computation and to apply Boltzmann entropy in the thermodynamic understanding of landscape dynamics. | ||
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10.1007/s10980-019-00814-x doi (DE-627)OLC2075241473 (DE-He213)s10980-019-00814-x-p DE-627 ger DE-627 rakwb eng 570 910 630 VZ 12 ssgn BIODIV DE-30 fid Gao, Peichao verfasserin (orcid)0000-0003-1714-779X aut Computation of the Boltzmann entropy of a landscape: a review and a generalization 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Nature B.V. 2019 Context A key goal of landscape ecology is to understand landscape ecological processes across space and through time, with reference to the central organizing principles of nature. Towards this goal, Boltzmann (or thermodynamic) entropy has been widely used in a conceptual way to link these processes to thermodynamic laws, but it has seldom been computed because of a lack of feasible methods since its formulation in 1872. This situation will probably change because such methods have been developed very recently. Objectives To present a timely, comprehensive review and an analysis of such methods. Methods A systematic survey of the efforts to compute the Boltzmann entropy of a landscape was performed. The consistency of different computational methods was investigated. Results In the review, two classes of methods were identified. The methods were developed from distinct ideas, apply to different landscape models (landscape mosaics and gradients), and result in different Boltzmann entropies. Thus, a general method for both landscape models would be desirable for consistent thermodynamic interpretations. Towards this goal, an approach was suggested to extend the method for mosaics to gradients or vice versa. Possible strategies for both extensions were theoretically analyzed and experimentally tested. Problems of each extension were revealed. Conclusions These recently developed methods can be regarded as first steps in the computation of Boltzmann entropy for landscapes. This computation still requires much attention. Future research is recommended to improve the computation and to apply Boltzmann entropy in the thermodynamic understanding of landscape dynamics. Boltzmann entropy Thermodynamic entropy Computational method Landscape mosaic Landscape gradient Li, Zhilin (orcid)0000-0003-1507-323X aut Enthalten in Landscape ecology Springer Netherlands, 1987 34(2019), 9 vom: 11. Mai, Seite 2183-2196 (DE-627)130857424 (DE-600)1027798-5 (DE-576)052841901 0921-2973 nnns volume:34 year:2019 number:9 day:11 month:05 pages:2183-2196 https://doi.org/10.1007/s10980-019-00814-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC FID-BIODIV SSG-OLC-ARC SSG-OLC-FOR GBV_ILN_70 AR 34 2019 9 11 05 2183-2196 |
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computation of the boltzmann entropy of a landscape: a review and a generalization |
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Computation of the Boltzmann entropy of a landscape: a review and a generalization |
| abstract |
Context A key goal of landscape ecology is to understand landscape ecological processes across space and through time, with reference to the central organizing principles of nature. Towards this goal, Boltzmann (or thermodynamic) entropy has been widely used in a conceptual way to link these processes to thermodynamic laws, but it has seldom been computed because of a lack of feasible methods since its formulation in 1872. This situation will probably change because such methods have been developed very recently. Objectives To present a timely, comprehensive review and an analysis of such methods. Methods A systematic survey of the efforts to compute the Boltzmann entropy of a landscape was performed. The consistency of different computational methods was investigated. Results In the review, two classes of methods were identified. The methods were developed from distinct ideas, apply to different landscape models (landscape mosaics and gradients), and result in different Boltzmann entropies. Thus, a general method for both landscape models would be desirable for consistent thermodynamic interpretations. Towards this goal, an approach was suggested to extend the method for mosaics to gradients or vice versa. Possible strategies for both extensions were theoretically analyzed and experimentally tested. Problems of each extension were revealed. Conclusions These recently developed methods can be regarded as first steps in the computation of Boltzmann entropy for landscapes. This computation still requires much attention. Future research is recommended to improve the computation and to apply Boltzmann entropy in the thermodynamic understanding of landscape dynamics. © Springer Nature B.V. 2019 |
| abstractGer |
Context A key goal of landscape ecology is to understand landscape ecological processes across space and through time, with reference to the central organizing principles of nature. Towards this goal, Boltzmann (or thermodynamic) entropy has been widely used in a conceptual way to link these processes to thermodynamic laws, but it has seldom been computed because of a lack of feasible methods since its formulation in 1872. This situation will probably change because such methods have been developed very recently. Objectives To present a timely, comprehensive review and an analysis of such methods. Methods A systematic survey of the efforts to compute the Boltzmann entropy of a landscape was performed. The consistency of different computational methods was investigated. Results In the review, two classes of methods were identified. The methods were developed from distinct ideas, apply to different landscape models (landscape mosaics and gradients), and result in different Boltzmann entropies. Thus, a general method for both landscape models would be desirable for consistent thermodynamic interpretations. Towards this goal, an approach was suggested to extend the method for mosaics to gradients or vice versa. Possible strategies for both extensions were theoretically analyzed and experimentally tested. Problems of each extension were revealed. Conclusions These recently developed methods can be regarded as first steps in the computation of Boltzmann entropy for landscapes. This computation still requires much attention. Future research is recommended to improve the computation and to apply Boltzmann entropy in the thermodynamic understanding of landscape dynamics. © Springer Nature B.V. 2019 |
| abstract_unstemmed |
Context A key goal of landscape ecology is to understand landscape ecological processes across space and through time, with reference to the central organizing principles of nature. Towards this goal, Boltzmann (or thermodynamic) entropy has been widely used in a conceptual way to link these processes to thermodynamic laws, but it has seldom been computed because of a lack of feasible methods since its formulation in 1872. This situation will probably change because such methods have been developed very recently. Objectives To present a timely, comprehensive review and an analysis of such methods. Methods A systematic survey of the efforts to compute the Boltzmann entropy of a landscape was performed. The consistency of different computational methods was investigated. Results In the review, two classes of methods were identified. The methods were developed from distinct ideas, apply to different landscape models (landscape mosaics and gradients), and result in different Boltzmann entropies. Thus, a general method for both landscape models would be desirable for consistent thermodynamic interpretations. Towards this goal, an approach was suggested to extend the method for mosaics to gradients or vice versa. Possible strategies for both extensions were theoretically analyzed and experimentally tested. Problems of each extension were revealed. Conclusions These recently developed methods can be regarded as first steps in the computation of Boltzmann entropy for landscapes. This computation still requires much attention. Future research is recommended to improve the computation and to apply Boltzmann entropy in the thermodynamic understanding of landscape dynamics. © Springer Nature B.V. 2019 |
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