ShipleyHunt1996

Référence

Shipley, B. and Hunt, R. (1996) Regression smoothers for estimating parameters of growth analyses. Annals of Botany, 78(5):569-576.

Résumé

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 natural B-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 natural B-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 of Holcus lanatus.

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@ARTICLE { ShipleyHunt1996,
    AUTHOR = { Shipley, B. and Hunt, R. },
    TITLE = { Regression smoothers for estimating parameters of growth analyses },
    JOURNAL = { Annals of Botany },
    YEAR = { 1996 },
    VOLUME = { 78 },
    PAGES = { 569-576 },
    NUMBER = { 5 },
    NOTE = { 03057364 (ISSN) Cited By (since 1996): 10 Export Date: 26 April 2007 Source: Scopus CODEN: ANBOA doi: 10.1006/anbo.1996.0162 Language of Original Document: English Correspondence Address: Shipley, B.; Departement de Biologie; Universite de Sherbrooke Sherbrooke, Que. J1K 2R1, Canada References: Chambers, J.M., Hastie, T.J., (1992) Statistical Models in s, , California, USA: Wadsworth and Brooks; Cleveland, W.S., Robust locally weighted regression and smoothing scatterplots (1979) Journal of the American Statistical Association, 74, pp. 829-836; Cleveland, W.S., Devlin, S.J., Locally-weigh ed regression: An approach to regression analysis by local fitting (1988) Journal of the American Statistical Association, 83, pp. 596-610; Dixon, P.M., The bootstrap and the jackknife: Describing the precision of ecological indices (1994) Design and Analysis of Ecological Experiments, pp. 290-310. , Schemer, SM, Gurevitch J, eds. New York: Chapman and Hall; Grime, J.P., (1979) Plant Strategies and Vegetation Processes, , New York: John Wiley and Sons; Hastie, T.J., Tibshirani, R.J., (1990) Generalized Additive Models, , New York: Chapman and Hall; Hunt, R., (1982) Plant Growth Curves. the Functional Approach to Plant Growth Analysis, , London: Edward Arnold; Hunt, R., Lloyd, P.S., Growth and partitioning (1987) New Phytologist, 106 (SUPPL.), pp. 235-249; Hunt, R., Parsons, I.T., A computer program for deriving growth-functions in plant growth-analysis (1974) Journal of Applied Ecology, 11, pp. 297-307; Leger, C., Poilitis, D.N., Romano, J.P., Bootstrap technology and applications (1992) Technometrics, 34, pp. 378-398; Parsons, I.T., Hunt, R., Plant growth analysis: A program for the fitting of lengthy series of data by the method of B-splines (1981) Annals of Botany, 48, pp. 341-352; Poorter, H., Plant growth analysis: Towards a synthesis of the classical and the functional approach (1989) Physiologia Plantarum, 75, pp. 237-244; (1994) S-Plus for Windows Version 3.2 Supplement, , Seattle: StatSci, a division of MathSoft, Inc; Tilman, D., (1988) Plant Strategies and the Structure and Dynamics of Plant Communities, , Princeton: Princeton University Press; Wahba, G., (1990) Spline Models for Observational Data, , Philadelphia: Society for Industrial and Applied Mathematics. },
    ABSTRACT = { 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 natural B-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 natural B-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 of Holcus lanatus. },
    KEYWORDS = { B-splines cubic spline smoothers growth analyses Holcus lanatus loess relative growth rate RGR growth analysis parameter estimation regression smoother relative growth rate statistical technique Holcus lanatus Poaceae },
    OWNER = { brugerolles },
    TIMESTAMP = { 2007.12.05 },
}

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