Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments
This paper studies the scaling properties of recruitment fluctuations in randomly varying environments, for abundant marine species with extreme reproductive behavior. Fisheries stock-recruitment data from the North Atlantic display fluctuation scaling, a proportionality between the standard deviati...
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Online Access: | https://dx.doi.org/10.48550/arxiv.2202.06206 https://arxiv.org/abs/2202.06206 |
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ftdatacite:10.48550/arxiv.2202.06206 2023-05-15T17:32:21+02:00 Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments Niwa, Hiro-Sato 2022 https://dx.doi.org/10.48550/arxiv.2202.06206 https://arxiv.org/abs/2202.06206 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Populations and Evolution q-bio.PE FOS Biological sciences Article CreativeWork article Preprint 2022 ftdatacite https://doi.org/10.48550/arxiv.2202.06206 2022-03-10T12:17:07Z This paper studies the scaling properties of recruitment fluctuations in randomly varying environments, for abundant marine species with extreme reproductive behavior. Fisheries stock-recruitment data from the North Atlantic display fluctuation scaling, a proportionality between the standard deviation and the average recruitment among stocks. The proportionality covers over five orders of magnitude in the range studied. A linear-scaling behavior can be a sign of a universal distribution of the normalized data across stocks. In light of this conjecture, it is demonstrated that the Lévy-stable model offers a better effective description of the recruitment distribution than the log-normal model. Care is devoted to the problem of random sums of random variables. Recruitment is calculated by summing random offspring numbers with infinite variance, where the number of summands (i.e. spawning population size) is also a random process with infinite variance. : 16 pages, 5 figures Article in Journal/Newspaper North Atlantic DataCite Metadata Store (German National Library of Science and Technology) |
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DataCite Metadata Store (German National Library of Science and Technology) |
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Populations and Evolution q-bio.PE FOS Biological sciences |
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Populations and Evolution q-bio.PE FOS Biological sciences Niwa, Hiro-Sato Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments |
topic_facet |
Populations and Evolution q-bio.PE FOS Biological sciences |
description |
This paper studies the scaling properties of recruitment fluctuations in randomly varying environments, for abundant marine species with extreme reproductive behavior. Fisheries stock-recruitment data from the North Atlantic display fluctuation scaling, a proportionality between the standard deviation and the average recruitment among stocks. The proportionality covers over five orders of magnitude in the range studied. A linear-scaling behavior can be a sign of a universal distribution of the normalized data across stocks. In light of this conjecture, it is demonstrated that the Lévy-stable model offers a better effective description of the recruitment distribution than the log-normal model. Care is devoted to the problem of random sums of random variables. Recruitment is calculated by summing random offspring numbers with infinite variance, where the number of summands (i.e. spawning population size) is also a random process with infinite variance. : 16 pages, 5 figures |
format |
Article in Journal/Newspaper |
author |
Niwa, Hiro-Sato |
author_facet |
Niwa, Hiro-Sato |
author_sort |
Niwa, Hiro-Sato |
title |
Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments |
title_short |
Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments |
title_full |
Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments |
title_fullStr |
Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments |
title_full_unstemmed |
Fluctuation scaling in Lévy-stable recruitment of marine fishes in randomly varying environments |
title_sort |
fluctuation scaling in lévy-stable recruitment of marine fishes in randomly varying environments |
publisher |
arXiv |
publishDate |
2022 |
url |
https://dx.doi.org/10.48550/arxiv.2202.06206 https://arxiv.org/abs/2202.06206 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.2202.06206 |
_version_ |
1766130429376593920 |