Detrended correspondence analysis

Hill, M. O. DEC ORAN A A FORTRAN Program for Detrended Correspondence Analysis and Reciprocal Averaging Section of Ecology and Systematics, Cornell University Ithaca, NY, 1979. 

There have been attempts to deal with the issue of nonlinearity in data sets. Detrended principal components (DPC) use a polynomial expression to remove the nonlinear relationships from the PCA axes. DPC are useful for data sets of moderate nonlinearity. Detrended correspondence analysis uses a more complex algorithm to eliminate the nonlinearity but requires a more complex computation. Nonmetric multidimensional scaling (NMDS) is a robust method that deals with nonlinearities by using ranks. 

A variety of multivariate techniques (Q-mode and R-mode cluster analysis. Principal component analysis (PCA) and Detrended Correspondence Analysis (DCA)) were... 

Hill, M.O. and Gauch, H.G. (1980) Detrended correspondence analysis, an improved ordination technique. Vegetatio, 42, 47-58. 

Detrended Canonical Correspondence Analysis (ter Braak and Smilauer, 2002) was used successively to compare the macroinvertebrate communities at the three... 

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