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Effects of Detrending and Rescaling on Correspondence Analysis: Solution Stability and Accuracy

Robert G. Knox
Vegetatio
Vol. 83, No. 1/2, Progress in Theoretical Vegetation Science (Oct. 1, 1989), pp. 129-136
Published by: Springer
Stable URL: http://www.jstor.org/stable/20038488
Page Count: 8
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Effects of Detrending and Rescaling on Correspondence Analysis: Solution Stability and Accuracy
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Abstract

Detrending and non-linear axis rescaling potentially improve the accuracy of gradient recovery in correspondence analyses but also reduce the stability or consistency of solutions. Variation among bootstrapped ordination solutions was compared across methods in analyses of both field and simulated data. Solution accuracy, measured with mean squared errors from Procrustes analysis, was compared using simulated data with known structure. Standard detrending-by-segments combined with non-linear rescaling entailed some cost in solution stability, but could improve the accuracy of solutions for long gradients. Without non-linear rescaling these solutions were usually less stable and less accurate. Although detrending-by-polynomials might be preferable on other grounds, it did not produce more accurate or stable solutions than detrending-by-segments.

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