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Annals of Botany 78: 569-576, 1996
© 1996 Annals of Botany Company

Regression Smoothers for Estimating Parameters of Growth Analyses

BILL SHIPLEY and RODERICK HUNT

Département de Biologie, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1 The NERC Unit of Comparative Plant Ecology, Department of Animal and Plant Sciences, The University, Sheffield, S10 2TN, U.K.

January 22, 1996 ; April 29, 1996

The objective of regression smoothers is to obtain predicted values of a dependent variable and its first derivative from empirical data without having to assume any particular functional relationship between the dependent and independent variables. An early variant of this type of analysis, specifically naturalB -splines, was first applied to growth analyses by Parsons and Hunt in 1981 (Annals of Botany 48 : 341–352, 1981). The object of this paper is to describe and evaluate two recent advances in this area (cubic spline smoothers and loess smoothers) in the context of plant growth analysis and compare them to naturalB -splines. The accuracies of these methods are evaluated using simulated data of a type that normally causes difficulties with other methods. A bootstrap procedure is described that improves the estimate of the optimal smoother parameter. It is shown that these smoothers can capture even subtle changes in relative growth rate. The method is then applied to growth data ofHolcus lanatus.

B -splines; cubic spline smoothers; growth analyses; Holcus lanatus ; loess; relative growth rate; RGR


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A. Useche and B. Shipley
Interspecific correlates of plasticity in relative growth rate following a decrease in nitrogen availability
Ann. Bot., November 25, 2009; (2009) mcp284v1.
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