Representing Cumulative Germination.
- 1 February 1988
- journal article
- research article
- Published by Oxford University Press (OUP) in Annals of Botany
- Vol. 61 (2) , 127-138
- https://doi.org/10.1093/oxfordjournals.aob.a087535
Abstract
The Weibull, Morgan–Mercer–Flodin, Richards, Mitscherlich, Gompertz and logistic functions were each fitted to a wide range of cumulative germinations of non-dormant seed. The Weibull proved the most suitable for describing cumulative germination as it provided a consistently close fit to the data and was insensitive to choice of starting values, thus making it fairly easy to fit. The others provided either an inferior fit or else a similar fit but with a greater sensitivity to starting values. The four parameters of the Weibull function reflect maximum germination, germination rate, the lag in the onset of germination and the shape of the cumulative distribution. A comparison between non-linear and linear fits of the Mitscherlich, Gompertz and logistic functions showed the clear superiority of non-linear methods.Keywords
This publication has 15 references indexed in Scilit:
- A Mathematical Model to Utilize the Logistic Function in Germination and Seedling GrowthJournal of Experimental Botany, 1984
- A Technique for Determining Quantitative Expressions of Dormancy in SeedsAnnals of Botany, 1982
- Plant Growth Analysis: The Use of the Richards Function as an Alternative to Polynomial ExponentialsAnnals of Botany, 1979
- Plant Growth Analysis: The Rationale Behind the Use of the Fitted Mathematical FunctionAnnals of Botany, 1979
- Germination of Seeds and SporesAnnals of Botany, 1977
- Representation of Germination Curves with the Logistic FunctionAnnals of Botany, 1977
- Some Useful Equations for Biological StudiesExperimental Agriculture, 1977
- A mathematical model of conidial germination and appressorial formation for Colletotrichum graminicolaCanadian Journal of Botany, 1976
- STUDIES ON DATA VARIABILITY AND THE USE OF POLYNOMIALS TO DESCRIBE PLANT GROWTHNew Phytologist, 1976
- A Flexible Growth Function for Empirical UseJournal of Experimental Botany, 1959