dorsal/arxiv
View SchemaSpecies-area relationship for power-law species abundance distribution
| Authors | Haruyuki Irie, Kei Tokita |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0609012 |
| URL | https://arxiv.org/abs/q-bio/0609012 |
Abstract
We studied the mathematical relations between species abundance distributions (SADs) and species-area relationships (SARs) and found that a power-law SAR can be generally derived from a power-law SAD without a special assumption such as the ``canonical hypothesis''. In the present analysis, an SAR-exponent is obtained as a function of an SAD-exponent for a finite number of species. We also studied the inverse problem, from SARs to SADs, and found that a power-SAD can be derived from a power-SAR under the condition that the functional form of the corresponding SAD is invariant for changes in the number of species. We also discuss general relationships among lognormal SADs, the broken-stick model (exponential SADs), linear SARs and logarithmic SARs. These results suggest the existence of a common mechanism for SADs and SARs, which could prove a useful tool for theoretical and experimental studies on biodiversity and species coexistence.
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"abstract": "We studied the mathematical relations between species abundance distributions\n(SADs) and species-area relationships (SARs) and found that a power-law SAR can\nbe generally derived from a power-law SAD without a special assumption such as\nthe ``canonical hypothesis\u0027\u0027. In the present analysis, an SAR-exponent is\nobtained as a function of an SAD-exponent for a finite number of species. We\nalso studied the inverse problem, from SARs to SADs, and found that a power-SAD\ncan be derived from a power-SAR under the condition that the functional form of\nthe corresponding SAD is invariant for changes in the number of species. We\nalso discuss general relationships among lognormal SADs, the broken-stick model\n(exponential SADs), linear SARs and logarithmic SARs. These results suggest the\nexistence of a common mechanism for SADs and SARs, which could prove a useful\ntool for theoretical and experimental studies on biodiversity and species\ncoexistence.",
"arxiv_id": "q-bio/0609012",
"authors": [
"Haruyuki Irie",
"Kei Tokita"
],
"categories": [
"q-bio.PE"
],
"title": "Species-area relationship for power-law species abundance distribution",
"url": "https://arxiv.org/abs/q-bio/0609012"
},
"schema_id": "dorsal/arxiv",
"source": {
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