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Qian et al. [2003a] proposed a “nonparametric deviance reduction” method for detecting ecological threshold. The method is based on the CART model, but uses only one predictor representing the environmental gradient. The first split point is used as the threshold. In the paper, the authors suggested that a χ 2 test can be used to […]

 

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Many institutions around Lake Erie have long-term water quality monitoring programs. These institutions, however, use several different water sampling methods and several chemical analytical methods for measuring water quality variables. The data file Eriecombined.csv include monitoring data from six institutions collected from 2010 to 2013. Figure 3.4 shows data from NOAA. One way to examine […]

 

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A frequently used indicator of stream ecosystem conditions is the species richness (number of species or taxa found in a sample). In the EUSE example, we often use (1) total number of macroinvertebrate taxa (richness) and (2) the number of taxa belonging to three orders known to be sensitive to pollution. These three orders are […]

 

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In evaluating TITAN we used several alternative models to show the pattern of the IV s along an environmental gradient. Another natural pattern discussed by Cuffney and Qian [2013] is the Gaussian response model, where the response curve is similar to a bell-shaped curve. This response pattern is often used to represent the “subsidy-stress” response […]

 

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