Entropies and Scaling Exponents of Street and Fracture Networks
Many natural and man-made lineaments form networks that can be analysed through entropy and energy considerations. Here we report the results of a detailed study of the variations in trends and lengths of 1554 named streets and 6004 street segments, forming a part of the evolving street network of t...
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ftdoajarticles:oai:doaj.org/article:45d967e62b0a411e873dd1cdb88c13e0 2023-05-15T16:50:47+02:00 Entropies and Scaling Exponents of Street and Fracture Networks Agust Gudmundsson Nahid Mohajeri 2012-04-01T00:00:00Z https://doi.org/10.3390/e14040800 https://doaj.org/article/45d967e62b0a411e873dd1cdb88c13e0 EN eng MDPI AG http://www.mdpi.com/1099-4300/14/4/800 https://doaj.org/toc/1099-4300 doi:10.3390/e14040800 1099-4300 https://doaj.org/article/45d967e62b0a411e873dd1cdb88c13e0 Entropy, Vol 14, Iss 4, Pp 800-833 (2012) street networks fracture networks power laws scaling exponents entropy Science Q Astrophysics QB460-466 Physics QC1-999 article 2012 ftdoajarticles https://doi.org/10.3390/e14040800 2022-12-30T20:00:32Z Many natural and man-made lineaments form networks that can be analysed through entropy and energy considerations. Here we report the results of a detailed study of the variations in trends and lengths of 1554 named streets and 6004 street segments, forming a part of the evolving street network of the city of Dundee in East Scotland. Based on changes in the scaling exponents (ranging from 0.24 to 3.89), the streets can be divided into 21 populations. For comparison, we analysed 221 active crustal fractures in Iceland that (a) are of similar lengths as the streets of Dundee; (b) are composed of segments; and (c) form evolving networks. The streets and fractures follow power-law size distributions (validated through various statistical tests) that can be partly explained in terms of the energies needed for their formation. The entropies of the 21 street populations and 9 fracture populations show strong linear correlations with (1) the scaling exponents (R 2 = 0.845–0.947 for streets, R 2 = 0.859 for fractures) and with (2) the length ranges, that is, the differences between the longest and shortest streets/fractures, (R 2 = 0.845–0.906 for streets, R 2 = 0.927 for fractures). Article in Journal/Newspaper Iceland Directory of Open Access Journals: DOAJ Articles Dundee ENVELOPE(-55.966,-55.966,-63.483,-63.483) Entropy 14 4 800 833 |
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Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
street networks fracture networks power laws scaling exponents entropy Science Q Astrophysics QB460-466 Physics QC1-999 |
spellingShingle |
street networks fracture networks power laws scaling exponents entropy Science Q Astrophysics QB460-466 Physics QC1-999 Agust Gudmundsson Nahid Mohajeri Entropies and Scaling Exponents of Street and Fracture Networks |
topic_facet |
street networks fracture networks power laws scaling exponents entropy Science Q Astrophysics QB460-466 Physics QC1-999 |
description |
Many natural and man-made lineaments form networks that can be analysed through entropy and energy considerations. Here we report the results of a detailed study of the variations in trends and lengths of 1554 named streets and 6004 street segments, forming a part of the evolving street network of the city of Dundee in East Scotland. Based on changes in the scaling exponents (ranging from 0.24 to 3.89), the streets can be divided into 21 populations. For comparison, we analysed 221 active crustal fractures in Iceland that (a) are of similar lengths as the streets of Dundee; (b) are composed of segments; and (c) form evolving networks. The streets and fractures follow power-law size distributions (validated through various statistical tests) that can be partly explained in terms of the energies needed for their formation. The entropies of the 21 street populations and 9 fracture populations show strong linear correlations with (1) the scaling exponents (R 2 = 0.845–0.947 for streets, R 2 = 0.859 for fractures) and with (2) the length ranges, that is, the differences between the longest and shortest streets/fractures, (R 2 = 0.845–0.906 for streets, R 2 = 0.927 for fractures). |
format |
Article in Journal/Newspaper |
author |
Agust Gudmundsson Nahid Mohajeri |
author_facet |
Agust Gudmundsson Nahid Mohajeri |
author_sort |
Agust Gudmundsson |
title |
Entropies and Scaling Exponents of Street and Fracture Networks |
title_short |
Entropies and Scaling Exponents of Street and Fracture Networks |
title_full |
Entropies and Scaling Exponents of Street and Fracture Networks |
title_fullStr |
Entropies and Scaling Exponents of Street and Fracture Networks |
title_full_unstemmed |
Entropies and Scaling Exponents of Street and Fracture Networks |
title_sort |
entropies and scaling exponents of street and fracture networks |
publisher |
MDPI AG |
publishDate |
2012 |
url |
https://doi.org/10.3390/e14040800 https://doaj.org/article/45d967e62b0a411e873dd1cdb88c13e0 |
long_lat |
ENVELOPE(-55.966,-55.966,-63.483,-63.483) |
geographic |
Dundee |
geographic_facet |
Dundee |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
Entropy, Vol 14, Iss 4, Pp 800-833 (2012) |
op_relation |
http://www.mdpi.com/1099-4300/14/4/800 https://doaj.org/toc/1099-4300 doi:10.3390/e14040800 1099-4300 https://doaj.org/article/45d967e62b0a411e873dd1cdb88c13e0 |
op_doi |
https://doi.org/10.3390/e14040800 |
container_title |
Entropy |
container_volume |
14 |
container_issue |
4 |
container_start_page |
800 |
op_container_end_page |
833 |
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1766040896240877568 |