A flexible sigmoid function of determinate growth

Annals of Botany

Volumn 91, Issue 3, 2003, Pages 361-371

  Yin, Xinyou ^a   Goudriaan, Jan ^a   Lantinga, Egbert A ^a   Vos, Jan ^a   Spiertz, Huub J ^a  

^a WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

Growth duration; Modelling; Non linear regression; Sigmoid curve

Indexed keywords

GROWTH CURVE; GROWTH MODELING; GROWTH RATE; REGRESSION;

ARTICLE; BIOLOGICAL MODEL; GROWTH, DEVELOPMENT AND AGING; MATHEMATICS; PLANT;

MATHEMATICS; MODELS, BIOLOGICAL; PLANTS;

ILEX COOKII; SIGMOIDEA;

EID: 0037370767     PISSN: 03057364     EISSN: None     Source Type: Journal    
DOI: 10.1093/aob/mcg029     Document Type: Article

References (25)

1. Bindraban PS. 1997. Bridging the gap between plant physiology and breeding: identifying traits to increase wheat yield potential using systems approaches. PhD Thesis, Wageningen Agricultural University, The Netherlands.
2. Birch CPD. 1999. A new generalized logistic sigmoid growth equation compared with the Richards growth equation. Annals of Botany 83: 713-723.
3. Dumur D, Pilbeam CJ, Craigon J. 1990. Use of the Weibull function to calculate cardinal temperatures in faba bean. Journal of Experimental Botany 41: 1423-1430.
4. Gompertz B. 1825. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society 182: 513-585.
5. Goudriaan J. 1994. Using the expolinear growth equation to analyse resource capture. In: Monteith JL, Scott RK, Unsworth MH, eds. Resource capture by crops. Nottingham: Nottingham University Press, 99-110.
6. Goudriaan J, Monteith JL. 1990. A mathematical function for crop growth based on light interception and leaf area expansion. Annals of Botany 66: 695-701.
7. Goudriaan J, van Laar HH. 1994. Modelling potential crop growth processes. Dordrecht: Kluwer Academic Publishers.
8. Gregory PJ, McGown M, Biscoe PV, Hunte B. 1978. Water relations of winter wheat. 1. Growth of the root system. Journal of Agricultural Science 91: 91-102.
9. Hunt R. 1981. Studies in biology no. 96: plant growth analysis. London: Edward Arnold (Publishers) Limited.
10. Johnson NL, Leone FC. 1964. Statistics and experimental design in engineering and the physical sciences. Vol. 1. New York: John Wiley & Sons, Inc.
11. Jones DB, Peterson ML, Geng S. 1979. Association between grain filling rate and duration and yield components in rice. Crop Science 19: 641-644.
12. Kreusler U, Prehn A, Hornberger R. 1879. Beobachtungen über das Wachstum der Maispflanze (Bericht über die Versuche vom Jahre 1878). Landwirtschaftliche Jahrbücher 8: 617-622.
13. Lieth JH, Fisher PR, Heins RD. 1996. A phasic model for the analysis of sigmoid patterns of growth. Acta Horticulturae 417: 113-118.
14. Ralston ML, Jennrich RI. 1979. DUD, a derivative-free algorithm for nonlinear least squares. Technometrics 1: 7-14.
15. Read JM, Birch CPD, Milne JA. 2002. HeathMod: a model of the impact of seasonal grazing by sheep on upland heaths dominated by Calluna vulgaris (heather). Biological Conservation 105: 279-292.
16. Richards FJ. 1959. A flexible growth function for empirical use. Journal of Experimental Botany 10: 290-300.
17. SAS Institute Inc. 1988. SAS user's guide: statistics, version 6.04 edition. Cary, North Carolina: SAS Institute Inc.
18. Verhulst PF. 1838. A note on population growth. Correspondence Mathematiques et Physiques 10: 113-121 (in French).
19. Voisin A-S, Salon C, Munier-Jolain NG, Ney B. 2002. Effect of mineral nitrogen on nitrogen nutrition and biomass partitioning between the shoot and roots of pea (Pisum sativum L.). Plant and Soil 242: 251-262.
20. Weibull W. 1951. A statistical distribution function of wide applicability. Journal of Applied Mechanics 18: 293-297.
21. Winsor CP. 1932. The Gompertz curve as a growth curve. Proceedings of the National Academy of Sciences of the United States of America 18: 1-8.
22. Yan W, Hunt LA. 1999. An equation for modelling the temperature response of plants using only the cardinal temperatures. Annals of Botany 84: 607-614.
23. Yin X, Kropff MJ, McLaren G, Visperas RM. 1995. A nonlinear model for crop development as a function of temperature. Agricultural and Forest Meteorology 77: 1-16.
24. Zeide B. 1993. Analysis of growth equations. Forest Science 39: 594-616.
25. Zhu Q, Cao X, Luo Y. 1988. Growth analysis on the process of grain filling in rice. Acta Agronomica Sinica 14: 182-193 (in Chinese with English abstract).