1999
DOI: 10.2307/176999
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Estimating Effects of Limiting Factors with Regression Quantiles

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Cited by 211 publications
(350 citation statements)
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“…This concept extends to the conditional QR. The conditional quantiles denoted by Q y (q|X) are the inverse of the conditional cumulative distribution function of the response variable, Fy −1 (q|X), where q ɛ [0, 1] denotes the quantiles (Cade, Terrell, and Schroeder 1999;Koenker and Machado 1999). Here, we consider functions of X that are linear in the parameters; for example, Q y (q|X) = β 0 (q)X 0 + β 1 (q)X 1 + β 2 (q)X 2 + ,.., + βp(q)Xp, where the (q) notation indicates that the parameters are for a specified q quantile.…”
Section: Analytical Frameworkmentioning
confidence: 99%
“…This concept extends to the conditional QR. The conditional quantiles denoted by Q y (q|X) are the inverse of the conditional cumulative distribution function of the response variable, Fy −1 (q|X), where q ɛ [0, 1] denotes the quantiles (Cade, Terrell, and Schroeder 1999;Koenker and Machado 1999). Here, we consider functions of X that are linear in the parameters; for example, Q y (q|X) = β 0 (q)X 0 + β 1 (q)X 1 + β 2 (q)X 2 + ,.., + βp(q)Xp, where the (q) notation indicates that the parameters are for a specified q quantile.…”
Section: Analytical Frameworkmentioning
confidence: 99%
“…Implementation of the regression methodology generally involves some difficulties related to noise in the data and to the choice of the environmental parameters. Noise in the data was addressed by modelling the statistical distribution of the response variable by using generalised linear and/or additive models (e.g., Maravelias and Reid, 1997), regression quantiles (Cade et al, 1999) or cumulative distribution tests (Perry and Smith, 1994). The choice of environmental parameters means building the static statistical model with indirect parameters describing biogeographical pattern or with direct parameters that closely relate the physiological processes at work, making the model more mechanistic and therefore perhaps better fitted but also less transportable (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…Usually, hypotheses about the central response of organisms to environmental gradients are tested, although the effects of other variables may influence such response and decrease the fit of the model, which may even become uninformative (Lancaster and Belyea, 2006). In this perspective, quantile regression, calculated at the extreme quantiles, allows the chosen independent variables to be considered as "constraints" to the distribution of biological communities, without compromising the model causal relationship (Cade et al, 1999). Regressions of the extreme quantiles characterize the slope and shape of the boundaries of the data, when biological metrics are tested against environmental gradients (e.g., habitat availability).…”
Section: Development Of Quantitative Habitat Suitability Modelsmentioning
confidence: 99%
“…This statistical tool was introduced in ecology by Cade et al (1999) and can be used to test the role of environmental factors as constraints. Moreover, its application allows the predictions not only of the more probable values of the studied biological metric but also of the maximum or minimum values that could be expected in environmental conditions comparable to the ones used for the model fitting (Cade and Noon, 2003;Doll, 2011;Fornaroli et al, 2015).…”
Section: Introductionmentioning
confidence: 99%