2018
DOI: 10.1111/2041-210x.13074
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Revisiting niche fundamentals with Tukey depth

Abstract: The first attempts to describe species ecological niches were simple geometric procedures that depict the niche boundaries directly from environmental data. The convex hull was one of such procedures, popular for its simplicity, clear ecological rational and precise definition of the niche. However, it lacked the ability to differentiate areas of the niche with different probabilities of occurrence according to environmental suitability. We incorporate the Tukey depth, a mathematical tool to measure the centra… Show more

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Cited by 12 publications
(14 citation statements)
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References 49 publications
(62 reference statements)
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“…Our approach measuring overlap is by no means restricted to a plane. While measures of multidimensional overlap exist (see, e.g., an alternative approach of a multivariate index of niche overlap based on Tukey depth in Cerdeira et al 2018), it is unclear how the resulting indices can be compared to a 2‐dimensional index of geographic overlap, as overlap mathematically decreases with higher dimensionality. A first step is thus to reduce the ecological space to two dimensions, for instance, focusing on the first two axes of a multivariate analysis, which typically account for most of the information (Dallas et al 2017), at the expense of a more difficult interpretation.…”
Section: Discussionmentioning
confidence: 99%
“…Our approach measuring overlap is by no means restricted to a plane. While measures of multidimensional overlap exist (see, e.g., an alternative approach of a multivariate index of niche overlap based on Tukey depth in Cerdeira et al 2018), it is unclear how the resulting indices can be compared to a 2‐dimensional index of geographic overlap, as overlap mathematically decreases with higher dimensionality. A first step is thus to reduce the ecological space to two dimensions, for instance, focusing on the first two axes of a multivariate analysis, which typically account for most of the information (Dallas et al 2017), at the expense of a more difficult interpretation.…”
Section: Discussionmentioning
confidence: 99%
“…While measures of multi-dimensional overlap exist (see for instance an alternative approach of a multivariate index of niche overlap based on Tukey depth in Cerdeira et al, 2018), it is unclear how the resulting indexes can be compared to a 2-dimensional index of geographic overlap, as overlap mathematically decreases with higher dimensionality. A first step is thus to reduce the ecological space to two dimensions, using multivariate analyses, and focus on the first two axes of the analysis, which typically account for most of the information (see e.g.…”
Section: Discussionmentioning
confidence: 99%
“…An unfavorable feature of the CH is that its topology is strongly influenced by peripheral observations, making it very sensitive to outliers. Furthermore, the CH approach does not identify suitability levels that could occur internally (Cerdeira et al, 2018), the fitted hypervolume is fixed and unique, so it does not distinguish among different confidence levels (Blonder et al, 2014). However, this approach has the advantage of being distribution-free, or non-parametric, because no assumption about the statistical distribution of the data is assumed.…”
Section: Introductionmentioning
confidence: 99%