Weighted averaging, logistic regression and the Gaussian response model

By C. T. ter Braak, Caspar Wn Looman. Vegetatio, 2004

435 citations recorded by the source corpus.

Subfields: Ecological Modeling, Ecology, Evolution, Behavior and Systematics, Nature and Landscape Conservation

View Paper: https://www.semanticscholar.org/paper/1878e9cc493c68dd6d21f603d8931ee60b2ec9ec

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In Ecological Modeling

In Ecology, Evolution, Behavior and Systematics

In Nature and Landscape Conservation

Citations in the corpus

Selecting traits that explain species–environment relationships: a generalized linear mixed model approach (2013, neutral): “Consider the simplest unimodal curve, the Gaussian logistic curve (ter Braak and Looman 1986) 22 /)(5.0)logit( jjijij tuxap (9) with aj a coefficient related to maximum probability of occurrence, uj the species optimum and tj the tolerance of species j.”
Mollusc community patterns and species response curves along a mineral richness gradient: a case study in fens (2006, background): “For a better understanding of individual species requirements, we need to test simple mathematical models describing relationships between the quantity of particular species and environmental gradients (Gauch & Whittaker, 1972; ter Braak & Looman, 1986; Yee & Mitchell, 1991; Huisman et al., 1993).”
Spatial autocorrelation in predictors reduces the impact of positional uncertainty in occurrence data on species distribution modelling (2011, methodology): “The parameters pmax, u and t are defined as follows (ter Braak & Looman, 1986): u ¼ b1=ð2b2Þ t ¼ 1= ffiffiffiffiffiffiffiffiffiffiffiffiffiffi ð 2b2Þ p pmax ¼ 1=½1þ expð b0 b1u b2u2Þ ð2Þ Parameter values of pmax = 1, u = 50 and t = 1.1 were used for the Gaussian response in this study.”
Modelling habitat requirement of European fishes: do species have similar responses to local and regional environmental constraints? (2005, methodology): “5) (ter Braak and Looman 1986).”
Linking trait variation to the environment: critical issues with community‐weighted mean correlation resolved by the fourth‐corner approach (2017, methodology): “Species niche centroid correlation The species niche centroid (SNC; Gause 1930, Tingley et al. 2009; see also ter Braak and Barendregt 1986, ter Braak and Looman 1986) is calculated for the jth species as: u l e lj i n ij i i n ij= = = ∑ ∑ 1 1 / (10) The SNC values are calculated for all species at…”
Is spatial autocorrelation introducing biases in the apparent accuracy of paleoclimatic reconstructions (2011, background): “The effect of the distribution of sites in environmental space was first investigated by ter Braak and Looman (1986), who demonstrated that the efficiency of weighted averaging (WA) for estimating species’ optima and tolerances approaches that of Gaussian logit regression only when the…”
Distribution patterns of tropical woody species in response to climatic and edaphic gradients (2012, background): “First, species may show their optima outside the sampled portion of the gradient (ter Braak & Looman 1986).”
CO‐INERTIA ANALYSIS AND THE LINKING OF ECOLOGICAL DATA TABLES (2003, background): “In the case of unimodal response, the niche centroid (i.e., the average of environmental variables per species) is a good summary of species distribution (ter Braak and Looman 1986).”