dorsal/arxiv
View SchemaPower-law scaling in dimension-to-biomass relationship of fish schools
| Authors | Hiro-Sato Niwa |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0501035 |
| URL | https://arxiv.org/abs/q-bio/0501035 |
| DOI | 10.1016/j.jtbi.2005.01.022 |
| Journal | J. Theor. Biol. 235 (2005) 419-430 |
Abstract
Motivated by the finding that there is some biological universality in the relationship between school geometry and school biomass of various pelagic fishes in various conditions, I here establish a scaling law for school dimensions: the school diameter increases as a power-law function of school biomass. The power-law exponent is extracted through the data collapse, and is close to 3/5. This value of the exponent implies that the mean packing density decreases as the school biomass increases, and the packing structure displays a mass-fractal dimension of 5/3. By exploiting an analogy between school geometry and polymer chain statistics, I examine the behavioral algorithm governing the swollen conformation of large-sized schools of pelagics, and I explain the value of the exponent.
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"abstract": "Motivated by the finding that there is some biological universality in the\nrelationship between school geometry and school biomass of various pelagic\nfishes in various conditions, I here establish a scaling law for school\ndimensions: the school diameter increases as a power-law function of school\nbiomass. The power-law exponent is extracted through the data collapse, and is\nclose to 3/5. This value of the exponent implies that the mean packing density\ndecreases as the school biomass increases, and the packing structure displays a\nmass-fractal dimension of 5/3. By exploiting an analogy between school geometry\nand polymer chain statistics, I examine the behavioral algorithm governing the\nswollen conformation of large-sized schools of pelagics, and I explain the\nvalue of the exponent.",
"arxiv_id": "q-bio/0501035",
"authors": [
"Hiro-Sato Niwa"
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"doi": "10.1016/j.jtbi.2005.01.022",
"journal_ref": "J. Theor. Biol. 235 (2005) 419-430",
"title": "Power-law scaling in dimension-to-biomass relationship of fish schools",
"url": "https://arxiv.org/abs/q-bio/0501035"
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