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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Molecular Diversity Preservation International
2012
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ftmdpi:oai:mdpi.com:/1099-4300/14/4/800/ 2023-08-20T04:07:28+02:00 Entropies and Scaling Exponents of Street and Fracture Networks Nahid Mohajeri Agust Gudmundsson 2012-04-19 application/pdf https://doi.org/10.3390/e14040800 EN eng Molecular Diversity Preservation International https://dx.doi.org/10.3390/e14040800 https://creativecommons.org/licenses/by/3.0/ Entropy; Volume 14; Issue 4; Pages: 800-833 street networks fracture networks power laws scaling exponents entropy Text 2012 ftmdpi https://doi.org/10.3390/e14040800 2023-07-31T20:28:44Z 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 (R2 = 0.845–0.947 for streets, R2 = 0.859 for fractures) and with (2) the length ranges, that is, the differences between the longest and shortest streets/fractures, (R2 = 0.845–0.906 for streets, R2 = 0.927 for fractures). Text Iceland MDPI Open Access Publishing Dundee ENVELOPE(-55.966,-55.966,-63.483,-63.483) Entropy 14 4 800 833 |
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street networks fracture networks power laws scaling exponents entropy |
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street networks fracture networks power laws scaling exponents entropy Nahid Mohajeri Agust Gudmundsson Entropies and Scaling Exponents of Street and Fracture Networks |
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street networks fracture networks power laws scaling exponents entropy |
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 (R2 = 0.845–0.947 for streets, R2 = 0.859 for fractures) and with (2) the length ranges, that is, the differences between the longest and shortest streets/fractures, (R2 = 0.845–0.906 for streets, R2 = 0.927 for fractures). |
format |
Text |
author |
Nahid Mohajeri Agust Gudmundsson |
author_facet |
Nahid Mohajeri Agust Gudmundsson |
author_sort |
Nahid Mohajeri |
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 |
Molecular Diversity Preservation International |
publishDate |
2012 |
url |
https://doi.org/10.3390/e14040800 |
long_lat |
ENVELOPE(-55.966,-55.966,-63.483,-63.483) |
geographic |
Dundee |
geographic_facet |
Dundee |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
Entropy; Volume 14; Issue 4; Pages: 800-833 |
op_relation |
https://dx.doi.org/10.3390/e14040800 |
op_rights |
https://creativecommons.org/licenses/by/3.0/ |
op_doi |
https://doi.org/10.3390/e14040800 |
container_title |
Entropy |
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14 |
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4 |
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800 |
op_container_end_page |
833 |
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1774719114613358592 |