### Abstract

Consequences of species-area relationships (SARs) of the form S = cA(z) are derived. One consequence is an endemics-area relationship (EAR); it is of the same power-law form as the SAR but with an exponent z' that is a function only of z and that always exceeds unity. An explicit formula is derived for the dependence of species turnover in space on census plot size, interplot distance, and the SAR exponent z; this formula can be used to determine z over spatial scales that are too large to permit direct estimate of z by censusing of nested patches. The areal dependence of link-species patterns observed in food webs is also examined; SARs are shown to imply the approximate, but not exact, area-independence of link-species relationships of the form L = kS(y), where L is the number of trophic links and y ≤ 2. A relationship between the average range of species in a habitat patch and the exponent z is also derived, leading to the result that average range is a decreasing function of both patch area and z.

Original language | English (US) |
---|---|

Pages (from-to) | 417-427 |

Number of pages | 11 |

Journal | Oikos |

Volume | 80 |

Issue number | 3 |

State | Published - Dec 1997 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Ecology

### Cite this

*Oikos*,

*80*(3), 417-427.

**On the implications of species-area relationships for endemism, spatial turnover, and food web patterns.** / Harte, J.; Kinzig, Ann.

Research output: Contribution to journal › Article

*Oikos*, vol. 80, no. 3, pp. 417-427.

}

TY - JOUR

T1 - On the implications of species-area relationships for endemism, spatial turnover, and food web patterns

AU - Harte, J.

AU - Kinzig, Ann

PY - 1997/12

Y1 - 1997/12

N2 - Consequences of species-area relationships (SARs) of the form S = cA(z) are derived. One consequence is an endemics-area relationship (EAR); it is of the same power-law form as the SAR but with an exponent z' that is a function only of z and that always exceeds unity. An explicit formula is derived for the dependence of species turnover in space on census plot size, interplot distance, and the SAR exponent z; this formula can be used to determine z over spatial scales that are too large to permit direct estimate of z by censusing of nested patches. The areal dependence of link-species patterns observed in food webs is also examined; SARs are shown to imply the approximate, but not exact, area-independence of link-species relationships of the form L = kS(y), where L is the number of trophic links and y ≤ 2. A relationship between the average range of species in a habitat patch and the exponent z is also derived, leading to the result that average range is a decreasing function of both patch area and z.

AB - Consequences of species-area relationships (SARs) of the form S = cA(z) are derived. One consequence is an endemics-area relationship (EAR); it is of the same power-law form as the SAR but with an exponent z' that is a function only of z and that always exceeds unity. An explicit formula is derived for the dependence of species turnover in space on census plot size, interplot distance, and the SAR exponent z; this formula can be used to determine z over spatial scales that are too large to permit direct estimate of z by censusing of nested patches. The areal dependence of link-species patterns observed in food webs is also examined; SARs are shown to imply the approximate, but not exact, area-independence of link-species relationships of the form L = kS(y), where L is the number of trophic links and y ≤ 2. A relationship between the average range of species in a habitat patch and the exponent z is also derived, leading to the result that average range is a decreasing function of both patch area and z.

UR - http://www.scopus.com/inward/record.url?scp=0031472111&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031472111&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031472111

VL - 80

SP - 417

EP - 427

JO - Oikos

JF - Oikos

SN - 0030-1299

IS - 3

ER -