2013
DOI: 10.1038/srep01334
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Fundamental equations for species-area theory

Xubin Pan

Abstract: Species-area theory is an important concept in ecology. However, debates still surround the species-area relationship (SAR) or endemics-area relationship (EAR) and their relations to expected extinction rates. In this paper, I introduce the concept of overlap-area relationship (OAR) to link SAR and EAR. Two fundamental equations are derived from the relationship between the area and species number in a limited whole area A: 1) the sum of species number in area a and species number, here defined as endemics, in… Show more

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Cited by 16 publications
(14 citation statements)
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“…Species–area relationships constitute one of the most general and well‐studied ecological patterns in the terrestrial realm (Arrhenius, ; Gleason, ; Williams, ; Preston, , ; MacArthur & Wilson, , ; Connor & McCoy, ; Allen & White, ; Scheiner, , ; Turner & Tjørve, ; Tjørve & Tjørve, ; Tjørve et al ., ; Triantis et al ., , ; Santos et al ., ; Whittaker & Triantis, ; Pan, ; Whittaker & Matthews, ; Matthews et al ., , ). However, this ‘protean pattern’ (see Lomolino, ) of a positive relationship between species richness and area has not been properly addressed for the marine realm.…”
Section: Introductionmentioning
confidence: 99%
“…Species–area relationships constitute one of the most general and well‐studied ecological patterns in the terrestrial realm (Arrhenius, ; Gleason, ; Williams, ; Preston, , ; MacArthur & Wilson, , ; Connor & McCoy, ; Allen & White, ; Scheiner, , ; Turner & Tjørve, ; Tjørve & Tjørve, ; Tjørve et al ., ; Triantis et al ., , ; Santos et al ., ; Whittaker & Triantis, ; Pan, ; Whittaker & Matthews, ; Matthews et al ., , ). However, this ‘protean pattern’ (see Lomolino, ) of a positive relationship between species richness and area has not been properly addressed for the marine realm.…”
Section: Introductionmentioning
confidence: 99%
“…Habitat management for biodiversity conservation relies on two main principles, the species-area relationship (SAR) and the intermediate disturbance hypothesis (IDH, Connell 1978). According to the SAR, the number of species generally increases with area (Connor and McCoy 2001;Pan 2013), thus, management of larger habitat patches should conserve more species. However, the relationship between the area and number of species is not linear; initially the increment of the species is fast, but becomes slower as area increases (Báldi and Kisbenedek 2000;Celada and Bogliani 1993;Paracuellos and Tellería 2004).…”
Section: Introductionmentioning
confidence: 99%
“…Direct estimates of biodiversity loss are challenging because of highly incomplete global species' distribution knowledge 4 and the difficulties of ascertaining actual extinctions 5 6 7 . Instead, estimates of diversity loss have relied on indirect methods, such as the relationship between area and the number of species in that area, the species–area relationship (SAR) 8 9 10 11 , or the relationship between an area that is lost and the number of species confined to it, the endemics–area relationship (EAR) 12 13 .…”
mentioning
confidence: 99%
“…Recently, He and Hubbell 12 initiated discussion over the reliability of the indirect methods, claiming that the SAR-based method (also known as backward estimation) overestimates extinctions when compared with the EAR-based method (forward estimation). This debate has generated several valuable insights, such as recognition that EAR and SAR are linked by the complementarity of area that is lost and the area that remains 14 , recognition of point reflection symmetry of the two curves 13 , or identification of critical role of aggregation of individuals 15 and ecological context 16 17 at small-scale plots. However, this debate has not yet been settled, and there are still critical unresolved issues, as well as opportunities for synthesis.…”
mentioning
confidence: 99%