PIECEWISE REGRESSION: A TOOL FOR IDENTIFYING ECOLOGICAL THRESHOLDS

By J. Toms, M. Lesperance. 2003

1,014 citations recorded by the source corpus.

Subfields: Ecological Modeling, Nature and Landscape Conservation

View Paper: https://www.semanticscholar.org/paper/ae90c8d5fc6ebc1bba3d086e184aa15243f6ecb5

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In Ecological Modeling

In Nature and Landscape Conservation

Citations in the corpus

Wildfire promotes broadleaves and species mixture in boreal forest (2009, positive): “Similar to the model for regeneration density, we tested if species-specific CD was affected by its prefire percent basal area by using simple, polynomial, and piecewise regression analyses (Toms and Lesperance, 2003).”
Asymmetrical responses of forest and “beyond edge” arthropod communities across a forest–grassland ecotone (2014, positive): “5th percentiles of the bootstrapped estimates (Toms and Lesperance 2003; Ewers and Didham 2006).”
Increased atmospheric vapor pressure deficit reduces global vegetation growth (2019, positive): “A piecewise linear regression approach was used to detect changes in the trends of various variables ( 64 ) where y is VPD, NDVI, LAI, GPP, and oceanic evaporation ( E ocean ); t is the year; a is the estimated TP of the time series, defining the timing of a trend change; b 0 , b 1 , and b 2 are…”
Ecological Models and Data in R (2008, background): “Hockey-stick models have recently become more popular in fisheries modeling, for modeling stock-recruitment curves (Barrowman and Myers, 2000), and in ecology, for detecting edges in landscapes (Toms and Lesperance, 2003) ∗.”
Knowing when to draw the line: designing more informative ecological experiments (2005, methodology): “RR designs make it possible to use lack-of-fit tests to evaluate the appropriateness of a regression model (Web-only Appendix 2) and/or use ANOVA as a “fall back” analysis when data violate the assumptions of standard linear regression (Figure 2). When there are thresholds and non-linearities in the”
Quantifying distance of edge influence: A comparison of methods and a new randomization method (2011, methodology): “For (7) piecewise regression (Williams-Linera 1990, Toms and Lesperance 2003), two and three-segment regressions were fit to the data; three-piece regression was used only if the addition of the third term was significant.”
Multiple determinants of welfare in farmed fish: stocking density, disturbance, and aggression in Atlantic salmon (Salmo salar) (2007, methodology): “Fin damage was scored for the dorsal, caudal, and pectoral fins (the fins known to show the most damage, (Turnbull et al. 1998) according to the percentage of fin intact and the degree of splitting and postdamage scarring (thickening, sensu Turnbull et al. 1998) of these fins according to Table 1a. ”
Spatial patterns in the understorey shrub genus Psychotria in central Amazonia: effects of distance and topography (2005, methodology): “The intersection of curves was estimated by piecewise regression (Toms & Lesperance 2003).”
Towards ecosystem-based management: identifying operational food-web indicators for marine ecosystems (2017, background): “…fluctuation processes (Zeileis and Kleiber, 2005), and significant zero crossings of piecewise regression models (Chaudihuri and Marron, 1999; Toms and Lesperance, 2003; Sonderegger et al., 2008; Samhouri et al., 2010, 2012; Toms and Villard, 2015) or generalized additive models (Large et…”
Do fences create an edge-effect on the movement patterns of a highly mobile mega-herbivore? (2010, methodology): “We used ranges of initial estimates of the breakpoint at 500 m intervals based on visual inspection of the Lowess smoothing function (Eigenbrod et al., 2009; Toms and Lesperance, 2008).”
Regional variation in habitat–occupancy thresholds: a warning for conservation planning (2008, background): “MODELLING APPROACH Piecewise regression models are becoming recognized more widely as important tools for modelling ecological relation- ships (Toms & Lesperance 2003).”
Response of sugar maple (Acer saccharum, Marsh.) tree crown structure to competition in pure versus mixed stands (2016, methodology): “Parameter estimates where obtained by optimizing the log-likelihood of the segmented regression (Toms and Lesperance, 2003).”
Interval estimation for the breakpoint in segmented regression: a smoothed score‐based approach (2017, methodology): “See also Toms & Lesperance (2003).”
Population-level impact of white-nose syndrome on the endangered Indiana bat (2012, methodology): “We used change-point modeling to estimate trend before and after the intervention of white-nose syndrome (Toms and Lesperance 2003).”