2007
DOI: 10.1080/11250000701263513
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Are planar areas adequate for the species–area relationship?

Abstract: The species-area relationship (SAR) is one of the best documented patterns in macroecology and has wider applications. Measures of areas used in SARs are planar surfaces, not true surface sizes. To explain this difference I assimilated islands to cones, where the cone base is the planar area, and the cone lateral surface is the actual island area. Then, I applied the power function to 20 real-world archipelagos using both the island planar area and the lateral surface area of a cone calculated using island ele… Show more

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Cited by 4 publications
(1 citation statement)
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“…One question arising from these alternative models (ISARs, species–energy models, and the choros model) is whether the improvements in model fit arising from the use of more sophisticated measures of island carrying capacity might, in part, reflect the fact that the commonly used planar measures of island area do not adequately estimate the true resource space available to island species (Nogués‐Bravo and Araújo 2006, Fattorini 2007) thus detrimentally affecting the strength of ISARs and the estimates of the parameters of the ISAR models? In general, errors in area estimation based on planar area are likely to be significant only for archipelagos involving substantial variation in topography (Williamson 1988, Willerslev et al 2002, Fattorini 2007). To investigate this question we use measurements of the total surface area in five different island groups and a wide range of taxa.…”
mentioning
confidence: 99%
“…One question arising from these alternative models (ISARs, species–energy models, and the choros model) is whether the improvements in model fit arising from the use of more sophisticated measures of island carrying capacity might, in part, reflect the fact that the commonly used planar measures of island area do not adequately estimate the true resource space available to island species (Nogués‐Bravo and Araújo 2006, Fattorini 2007) thus detrimentally affecting the strength of ISARs and the estimates of the parameters of the ISAR models? In general, errors in area estimation based on planar area are likely to be significant only for archipelagos involving substantial variation in topography (Williamson 1988, Willerslev et al 2002, Fattorini 2007). To investigate this question we use measurements of the total surface area in five different island groups and a wide range of taxa.…”
mentioning
confidence: 99%