On the misuse of regression in earth science |
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Authors: | David M. Mark and Michael Church |
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Affiliation: | (1) Department of Geography, Simon Fraser University, V5A 1S6 Burnaby, British Columbia;(2) Department of Geography, University of British Columbia, V6T 1W5 Vancouver, British Columbia |
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Abstract: | Simple least-squares regression analysis is applied to almost all empirical curve-fitting problems in earth science (and related fields). Its use, however, should be restricted to predictive situations. For comparisons with theory or among fitted lines, the related technique termed functional analysisshould be employed. To apply this method, the ratio of the random components of the variances of the variables must be estimated. Principles are illustrated with examples from geomorphometry, especially the stream frequency-drainage density relation. |
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Keywords: | regression functional analysis curve fitting quantitative methods geomorphology |
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