nlraa: R package for Nonlinear Regression for Agricultural


CRAN CRAN downloads total CRAN downloads


Nonlinear Models (video) - part I

Nonlinear Models (video) - part II

Nonlinear Models (video) - part III

To install


This package supports the following publications:

  1. Archontoulis, S. V., and F. E. Miguez. 2015. Nonlinear Regression Models and Applications in Agricultural Research. Agron. J. 107:786-798.

  2. Miguez, F., S. Archontoulis, H. Dokoohaki 2018. Chapter 15: Nonlinear Regression Models and Applications. In: B. Glaz, K. M. Yeater, editors, Applied Statistics in Agricultural, Biological, and Environmental Sciences, ASA, CSSA, and SSSA, Madison, WI. p. 401-448.

  3. Oddi et. al. (2019). A nonlinear mixed-effects modelling approach for ecological data: Using temporal dynamics of vegetation moisture as an example. Ecology and Evolution.

Recent publications which cite this package:

  1. The Effects of Agronomic Management and 40 Years of Variety Release on Soybean Seed Fill and Yield Components. Kathryn Graf. 2018. MS thesis. Purdue University.

  2. Interactive effect of glyphosate-based herbicides and organic soil layer thickness on growth and reproduction of the tropical earthworm Pontoscolex corethrurus (Müller, 1857). Garcia-Perez et al. (2020).

  3. Abendroth, L.J., Miguez, F.E., Castellano, M.J., Carter, P.R., Messina, C.D., Dixon, P.M. and Hatfield, J.L. (2021), Lengthening of maize maturity time is not a widespread climate change adaptation strategy in the US Midwest. Glob Change Biol.

  4. Rotating maize reduces the risk and rate of nitrate leaching. Heather Randolph Pasley, Nichols Virginia, Michael J Castellano, Matthew J Helmers, Mitchell E Baum, Eileen J Kladivko and Sotirios Archontoulis. 2021. Environmental Research Letters.

  5. Short-term effects of integrated tillage systems and cover crop on agronomic response and soil health in North Central Iowa. Alex Cleveringa. 2020. MS Thesis. Iowa State University.

  6. Cuando la variabilidad varía: Heterocedasticidad y funciones de varianza. Oddi, F. J., Miguez, F. E., Benedetti, G. G., & Garibaldi, L. A. (2020). Ecología Austral; 30; 438-453.

Other publications where we have used nonlinear mixed models:

  1. Fernando E. Miguez, María Bonita Villamil, Stephen P. Long, Germán A. Bollero, Meta-analysis of the effects of management factors on Miscanthus × giganteus growth and biomass production, Agricultural and Forest Meteorology, Volume 148, Issues 8–9, 2008, Pages 1280-1292, ISSN 0168-1923,
    Supporting information:

  2. Eichenberger, S., F. Miguez, J. Edwards, and A. Knapp. 2015. Changes in Kernel Filling with Selection for Grain Yield in a Maize Population. Crop Sci. 55:521-526.

  3. Stein, M., F. Miguez, and J. Edwards. 2016. Effects of Plant Density on Plant Growth before and after Recurrent Selection in Maize. Crop Sci. 56:2882-2894.


2008 ACS meeting.


Data and code:

Ideas for future versions: