Modeling the germination curves for magneto-priming of sorghum (Sorghum bicolor L. Moench) seeds using the Logistic and Gompertz models
31
Authors
-
Marwan
University of Basrah
-
Samir
Keywords:
seed priming durations, magnetic field, curve-fittingAbstract
Data analysis of the traditional germination percentages may provide the least amount of information. Therefore, germination behavior can be best described based on a regression model for the time to germination. In this study, the effects of magneto priming on sorghum seed germination were analysed and compared using Logistic and Gompertz models, LM and GM, respectively. Sorghum seeds were primed with a static magnetic field for four periods of time (0, 1,3, and 5 h). Seed germination collected for 10 days for four magneto priming durations was modelled by fitting the LM and GM growth curves. Growth curve selection was based on the coefficient of determination (R2) and mean square error (MSE). Following the growth curve selection, the results of these fittings and their parameter estimates were compared in terms of graphical representation and statistical criteria. The results showed that the GM model fit better than the LM model in describing the germination process of sorghum in the magneto-priming test, as it yielded the lowest MSE and highest R2 values. Overall, these findings suggest that the Gompertz model can represent the best shape of sorghum germination curves under magneto-primed conditions.
Downloads
References
Bahler, C., Hill, R.R. & Byers, R.A. (1989). Comparison of Logistic and Weibull functions: the effect of temperature on cumulative germination of alfalfa. Crop Science 29: 142–146. DOI: 10.2135/cropsci1989.0011183X002900010032x
Bhardwaj, J., Anand, A., & Nagarajan, S. (2012). Biochemical and biophysical changes associated with magneto-priming in germinating cucumber seeds. Plant Physiology and Biochemistry 57: 67-73. https://doi.org/10.1016/j.plaphy.2012.05.008
Bormashenko, E., Shapira, Y., Grynyov, R., Whyman, G., Bormashenko, Y. & Drori, E. (2015). Interaction of cold radiofrequency plasma with seeds of beans (Phaseolus vulgaris). J. Journal of Experimental Botany 66, 4013–4021. DOI:10.1093/jxb/erv206
El-Kassaby, Y. A., Moss, I., Kolotelo, D. & Stoehr, M. (2008). Seed germination: mathematical representation and parameters extraction. Forest Science 54:220–227. DOI: 10.1093/forestscience/54.2.220
Gregorczyk, A. (1991). The logistic function-its application to the description and prognosis of plant growth. Acta Societatis Botanicorum Poloniae 60(1–2): 67–76. DOI: 10.5586/asbp.1991.004
Hara, Y. (1999). Calculation of population parameters using Richards function and application of indices of growth and seed vigor to rice plants. Plant Production Science 2(2):129–135. https://doi.org/10.1626/pps.2.129
Himoud, M.S., Lazim, S.K., & Al-Bahadliy, A.H. (2022): Effect of tillage depths and static magnetic seed treatment on growth parameters and yield of maize (Zea mays L.). Indian Journal of Ecology 49: 18–23. http://indianecologicalsociety.com/society/conferences/
Hsu, H., Nelson, C.J. & Chow, W.S. (1984). A mathematical model to utilize the logistic function in germination and seedling growth. Journal of Experimental Botany 35(11): 1629-40. DOI: 10.1093/jxb/35.11.1629
Joshi-Paneri, J., Sharma, S., Guruprasad, K.N. & Kataria, S. (2023). Enhancing the Yield Potential of Soybean after Magneto-Priming: Detailed Study on Its Relation to Underlying Physiological Processes. Seeds 2:60-84. https://doi.org/10.3390/seeds2010006
Kataria, S., Baghel, L. & Guruprasad, K. N. (2015). Acceleration of Germination and Early Growth Characteristics of Soybean and Maize after pre-treated of seeds with static magnetic field. International Journal of Tropical Agriculture 33: 985-992. DOI: 10.1016/j.bcab.2017.02.010
Lazim, S. K., & Ramadhan, M. N. (2023). Effects of physical and chemical seed priming techniques on seed germination and seedling growth of maize (Zea mays L.). Annals of Biology 39(2): 404-410. https://agribiop.com/category/annals-of-biology/page/2/
Ling, Li., Jiafeng, J., Jiangang, L., Minchong, S., Xin, H., Hanliang, S., & Yuanhua, D. (2014). Effects of cold plasma treatment on seed germination and seedling growth of soybean. Scientific Reports 4, 5859. DOI 10.1038/srep05859 (2014).
Mahajan, T.S. & Pandey, O.P. (2011). Reformulation of Malthus-Verhulst equation for black gram seeds pretreated with magnetic field. International Agrophysic 25: 355-359. https://www.researchgate.net/publication/289689974
Martinez, E., Florez, M., & Carbonell, M.V (2017). Stimulatory Effect of the Magnetic Treatment on the Germination of Cereal Seeds. International Journal of Environment, Agriculture and Biotechnology 2: 2456-1878. http://dx.doi.org/10.22161/ijeab/2.1.47
Moungang, N.T., Tchitnga, R., Kouam, E. B., & Fomethe, A. (2020). Logistic Curve Modeling of the Germination of Beans Seeds (Phaseolus Vulgaris) Previously Exposed to Multi-Periodic and Chaotic Electromagnetic Fields. Open Access Journal of Environmental and Soil Sciences 5: 676-687. DOI: 10.32474/OAJESS.2020.05.000218
Muszyński S., Gagoś M., and Pietruszewski S. (2009). Shortterm pre-germination exposure to ELF magnetic field does not influence seedling growth in durum wheat (Triticum durum). Polish Journal of Environmental Studies 18(6): 1065-1072. https://www.researchgate.net/publication/285076811
Muszyñski, S. and Gladyszewska, B., 2008. Representation of He-Ne laser irradiation effect on radish seeds with selected germination indices. International Agrophysics 22(1): pp.151-157. http://www.international-agrophysics.org/Representation-of-He-Ne-laser-irradiation-effect-on-radish-seeds-with-selected-germination,106487,0,2.html
Rathod, G.R., & Anand, A. (2015). Efect of seed magneto-priming on growth, yield and Na/K ratio in wheat (Triticum aestivum L.) under salt stress. Indian Society for Plant Physiology. 21:15-22. https://doi.org/10.1007/s40502-015-0189-9
Rymuza, K., & Radzka, E.(2021) Effect of pH levels on soybean seed germination dynamics. Acta Scientiarum Polonorum. Agricultura 20: 81-88. DOI: 10.37660/aspagr.2021.20.2.4
Shafii, B., Price, W.J. Swensen, J.B. & Murray, G.A. (1991). Nonlinear estimation of growth curve models for germination data analysis, in Proceedings of the 3rd Annual Conference Proceedings, Annual Conference of Applied Statistics in Agriculture, pp. 19-42, Kansas State University, Manhattan, NY, USA. DOI: 10.4148/2475-7772.1415
Shine, M.B., Kataria, S., & Guruprasad, K.N. (2017). Enhancement of maize seeds germination by magnetopriming in perspective with reactive oxygen species. Journal of Agricultural and Crop Research 5: 66–76. http://sciencewebpublishing.net/jacr/archive/2017/October/Abstract/Shine%20et%20al.htm
Sousa, I. F., Neto, J. E. K., Muniz, J. A., Guimaraes, R. M.; Savian, T. V., & Muniz, F. R. (2014). Fitting non lin arauto regressive models to describe coffee seed germination. Ciencia Rural, Santa Maria 44: 2016-2021. https://doi.org/10.1590/0103-8478cr20131341.
Souza, P.F., Santana, R.C., & Fernandes, J.S.C. (2013a). Germination behaviour evaluated using the identity test for nonlinear models. Australian Journal of Basic and Applied Sciences 7(10): 31-36. https://www.researchgate.net/publication/304251047
Torres, M. & Frutos, G. (1989). Analysis of germination curves of aged fennel seeds by mathematical models. Environmental and Experimental Botany 29(3): 409- 415. DOI: 10.1016/0098-8472(89)90016-6
Submitted
Published
Issue
Section
License
Copyright (c) 2026 The Indian Journal of Agricultural Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
The copyright of the articles published in The Indian Journal of Agricultural Sciences is vested with the Indian Council of Agricultural Research, which reserves the right to enter into any agreement with any organization in India or abroad, for reprography, photocopying, storage and dissemination of information. The Council has no objection to using the material, provided the information is not being utilized for commercial purposes and wherever the information is being used, proper credit is given to ICAR.
How to Cite
