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A recopilation of nonlinear growth models used in many branches of science

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growthmodels: Nonlinear Growth Models

growthmodels is a R package that contains a compilation of nonlinear growth models used in many areas.

Installation

To install the stable version of growthmodels from CRAN, simply run the following from an R console:

install.packages('growthmodels')

To install the latest development builds of growthmodels directly from GitHub, run this instead:

require(devtools)
install_github('growthmodels', 'drodriguezperez')

Features

growthmodels includes functions for the calculation of the following nonlinear growth models and its inverse functions:

  • Blumberg
  • Brody
  • Chapman-Richards
  • Generalised Logistic
  • Generalised Richard
  • Gompertz
  • Janoschek
  • Log-logistic
  • Logistic
  • Mitcherlich
  • Monomolecular
  • Morgan -Mercer-Flodin
  • Negative exponential
  • Richard’s
  • Schnute
  • Stannard
  • von Bertalanffy
  • Weibull

License

GNU General Public License, version 3

References

  1. D. Fekedulegn, M. Mac Siurtain, and J. Colbert, "Parameter estimation of nonlinear growth models in forestry," Silva Fennica, vol. 33, no. 4, pp. 327-336, 1999. Full text
  2. M. M. Kaps, W. O. W. Herring, and W. R. W. Lamberson, "Genetic and environmental parameters for traits derived from the Brody growth curve and their relationships with weaning weight in Angus cattle.," Journal of Animal Science, vol. 78, no. 6, pp. 1436-1442, May 2000. Full text
  3. A. Tsoularis and J. Wallace, "Analysis of logistic growth models.," Math Biosci, vol. 179, no. 1, pp. 21–55, Jul. 2002. DOI identifier: 10.1016/S0025-5564(02)00096-2
  4. A. Khamiz, Z. Ismail, and A. T. Muhammad, "Nonlinear growth models for modeling oil palm yield growth," Journal of Mathematics and Statistics, vol. 1, no. 3, p. 225, 2005. DOI identifier: 10.3844/jmssp.2005.225.233
  5. Michael J. Panik, "Growth Curve Modeling: Theory and Applications", John Wiley & Sons, December 2013.
  6. Generalised logistic function

Acknowledgments

I would like to thank J.A. Martinez for all of their helpful discussions during the develop of the package.

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A recopilation of nonlinear growth models used in many branches of science

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