nlraa: R package for Nonlinear Regression for Agricultural

Applications

Documentation

NOTE: the vignettes (nlraa-Oddi-LFMC and nlraa-AgronJ-paper) that used to be distributed with the package have been moved to the documentation above because of CRAN size limits.

Nonlinear Models (video) - part I

Nonlinear Models (video) - part II

Nonlinear Models (video) - part III

To install

library(remotes)
remotes::install_github("femiguez/nlraa")
library(nlraa)

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.
   https://doi.org/10.2134/agronj2012.0506

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.
   https://doi.org/10.2134/appliedstatistics.2016.0003

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.
   https://doi.org/10.1002/ece3.5543

Some recent publications that cite this package (updated 2025-3-8):

87. Individual Growth of Sonoran Desert Tortoises (Gopherus morafkai) in an Arizona Population: Implications for Conservation and Management. Roy C. Averill-Murray. https://doi.org/10.2744/CCB-1642.1

86. Leaf phosphorus concentration as a diagnostic tool for predicting grape composition in subtropical viticulture. Stefanello et al. (2025). https://doi.org/10.1016/j.eja.2025.127555

85. Chevalère, J., Berthon, M., Rocher, N. et al. A digital safe space for learning: how computer-assisted instruction supports students with lower academic self-concept. Educ Inf Technol (2025). https://doi.org/10.1007/s10639-025-13424-9

84. Approximately 15% of Miscanthus yield is lost at current commercial cutting heights in Iowa. Petersen et al. (2025). https://doi.org/10.1002/agg2.70039

83. Velocity as an overlooked driver in the echolocation behavior of aerial hawking vespertilionid bats. Jakobsen, Lasse et al. Current Biology, Volume 35, Issue 4, 918 - 926.e4. https://doi.org/10.1016/j.cub.2024.12.042

82. Sorghum leaves more residue with a higher decomposition rate than maize. Parra et al. (2025). European Journal of Agronomy. https://doi.org/10.1016/j.eja.2025.127515

81. Energy requirements for sustainable human development. Ranjan and Kanitkar. (2025). https://doi.org/10.1016/j.esd.2024.101648

80. Della Chiesa, T., Northrup, D., Miguez, F.E. et al. Reducing greenhouse gas emissions from North American soybean production. Nat Sustain 7, 1608–1615 (2024). https://doi.org/10.1038/s41893-024-01458-9

79. The roots of the rotation effect run deep. Nichols et al. (2024). Field Crops Research. https://doi.org/10.1016/j.fcr.2024.109640

78. Abramov, A.A., Lakomkin, V.L., Lukoshkova, E.V. et al. Pulmonary Arterial Hypertntion Causes Disregultion of Systemic Circulation via Supressesion of Baroceptor Control of the Heart Rhytm. J Evol Biochem Phys 60, 2098–2115 (2024). https://doi.org/10.1134/S0022093024050338

77. Historical increases of maize leaf area index in the US Corn Belt due primarily to plant density increases. George Kalogeropoulos et al. Field Crops Research (2024). https://doi.org/10.1016/j.fcr.2024.109615

76. Efficacy of Essential Oil for Maintaining Postharvest Quality and Reducing Decay of Peach Fruit. Yuru Chang. (2024). University of Florida. MS Thesis.

75. Carson, R.G., Leemans, A. Quantitative metrics commonly derived from diffusion tractography covary with streamline length: a characterization and method of adjustment. Brain Struct Funct 229, 2431–2444 (2024). https://doi.org/10.1007/s00429-024-02854-9

74. Glocker, B., Mastný, J., Picek, T. et al. Environmental Effects on Assimilated Carbon Quantity and Quality in Two Different Wet Grassland Plants. Wetlands 44, 91 (2024). https://doi.org/10.1007/s13157-024-01853-0

73. Multistart nonlinear least squares fitting with {gslnls}. https://jchau.org/2024/07/31/multistart-nonlinear-least-squares-with-gslnls/

72. Transit Board Diversity and Pandemic Service Cuts in Vulnerable Communities. Voulgaris et al. (2024). https://doi.org/10.1177/03611981241263346

71. Planting Practices for Improved Stand Establishment and Yield Potential in Winter Wheat. James Copeland. (2024). Michigan State University. MS Thesis.

70. Stomatal behaviour and water relations in ferns and lycophytes across habits and habitats. Prats et al. (2024). https://doi.org/10.1093/aobpla/plae041

69. Increasing Wheat Protein and Yield through Sulfur Fertilization and Its Relationship with Nitrogen. Roa et al. (2024). https://doi.org/10.3390/nitrogen5030037

68. The finger weeder cultivator for intra-row mechanical weed control: Effects of uprooting force on selected weed species. Asaf et al. (2024). Weed Research. https://doi.org/10.1111/wre.12652

67. Models and sufficiency interpretation for estimating critical soil test values for the Fertilizer Recommendation Support Tool. Slaton et al. (2024). https://doi.org/10.1002/saj2.20704

66. Developing aboveground biomass yield curves for dominant boreal tree species from time series remote sensing data. (2024). Tompalski et al. https://doi.org/10.1016/j.foreco.2024.121894

65. Kinetic modelling of anthocyanins and vitamin C degradation in a maqui-citrus beverage during storage for different sweeteners and pasteurization treatments. (2024). Hernandez-Prieto et al. https://doi.org/10.1016/j.lwt.2024.116082

64. Modelling the dynamics of microbial populations and Salmonella spp. in milk kefir. Caballero et al. (2024) https://doi.org/10.1016/j.fbp.2024.04.002

63. Performance Evaluation of Predictive Models for Coconut Crop Production in Karnataka Using Weather Parameters. Harshith et al. (2024). https://doi.org/10.9734/ijecc/2024/v14i34073

62. In Vitro Antifungal Activity of White Thyme, Oregano, and Savory Oils Against Five Monilinia fructicola Isolates from the Southeastern United States. Chang et al. (2024). https://doi.org/10.1094/PHP-12-23-0111-RS

61. Tractography derived quantitative estimates of tissue microstructure depend on streamline length: A characterization and method of adjustment. Richard G. Carsona and Alexander Leemans. https://arxiv.org/pdf/2403.02102

60. Identifying existing pattern in area and production of major food grains in Karnataka using linear and nonlinear statistical models. Ragini HR and Harshith KV. https://dx.doi.org/10.22271/maths.2024.v9.i1b.1615

59. Do newer maize hybrids grow roots faster and deeper? Sciarresi et al. Crop Science (2024). https://doi.org/10.1002/csc2.21208

58. Functional principal component analysis as an alternative to mixed-effect models for describing sparse repeated measures in presence of missing data. arXiv:2402.10624v1 [stat.ME] 16 Feb 2024.

57. Schöpke, B., Wesche, K., Tschan, G.F. et al. Plant species richness increase across crop field–dry grassland edges masks diverging patterns in generalists and specialists. Landsc Ecol 39, 39 (2024). https://doi.org/10.1007/s10980-024-01843-x

56. Fitting Power-Law Relationships in Watershed Science and Analysis, with an Example Using the R Language. R. Dan Moore (2024).
https://doi.org/10.22230/jwsm.2024v7n1a53

55. Genetic gains in short-season corn hybrids: Grain yield, yield components, and grain quality traits. King et al. (2024). Crop Scences. https://doi.org/10.1002/csc2.21199

54. High-throughput phenotyping reveals multiple drought responses of wild and cultivated Phaseolinae beans. Verheyen et al. Volume 15 - 2024 | https://doi.org/10.3389/fpls.2024.1385985

53. Matavel, C.E., Meyer-Aurich, A. & Piepho, HP. Model-averaging as an accurate approach for ex-post economic optimum nitrogen rate estimation. Precision Agric 25, 1324–1339 (2024). https://doi.org/10.1007/s11119-024-10113-4

52. From a point to a range of optimum estimates for maize plant density and nitrogen rate recommendations. King et al. (2023). https://doi.org/10.1002/agj2.21516

51. Askarieh, A., del Río, M., Aldea, J. et al. Radial increment dynamics of Maritime pine (Pinus pinaster Ait.) in pure and mixed stands with Scots pine (Pinus sylvestris L.) under changing environmental conditions. Eur J Forest Res 143, 671–686 (2024). https://doi.org/10.1007/s10342-023-01650-0

50. Moisture and nutrient management for sustainable dryland sunflower production. Loza et al. 2023. https://doi.org/10.21203/rs.3.rs-3697663/v1

49. Nitrogen fertilizer and pronitridine rates for corn production in the Midwest U.S. Kaur et al. 2023. https://doi.org/10.1016/j.fcr.2023.109200

48. The changing landscape of paddy cultivation in Andhra Pradesh: A statistical assessment of area, production, and productivity. https://dx.doi.org/10.22271/maths.2023.v8.i6Sc.1373

47. Assessment of Tissue Phosphorus Concentrations and Diagnostic Tools for Phosphorus Nutrition in Corn. Roa and Ruiz Diaz. 2023.

46. A New Scenario Framework for Equitable and Climate-Compatible Futures. Ranjan et al. 2023

45. Microbial race to colonise leaf litter in a littoral-lake environment and its relation to nutrient dynamics. Madaschi et al. 2023. https://doi.org/10.1111/fwb.14173

44. Enhancing Our Understandin