Power-law scaling in dimension-to-biomass relationship of fish schools
| dc.creator | Niwa, Hiro-Sato | |
| dc.date | 2005-01-27 | |
| dc.date | 2005-06-15 | |
| dc.date.accessioned | 2026-07-07T05:58:53Z | |
| dc.date.available | 2026-07-07T05:58:53Z | |
| dc.description | 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. | |
| dc.description | 25 pages, 6 figures, to appear in J. Theor. Biol | |
| dc.identifier | https://arxiv.org/abs/q-bio/0501035 | |
| dc.identifier | http://arxiv.org/abs/q-bio/0501035 | |
| dc.identifier | J. Theor. Biol. 235 (2005) 419-430 | |
| dc.identifier | doi:10.1016/j.jtbi.2005.01.022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88532 | |
| dc.subject | Populations and Evolution | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Other Quantitative Biology | |
| dc.title | Power-law scaling in dimension-to-biomass relationship of fish schools | |
| dc.type | text |