A Bayesian two-state Markov chain model with categorical responses: An application to climatic conditions for crop growth
DOI:
https://doi.org/10.64497/jssci.137Abstract
In this study, Bayesian estimation procedure is presented especially for a binary Markov chain model under the assumption that the prior for had non- informative and informative prior distribution when the number of unfavourable climatic periods for the growth of the crop is more than the favourable period. Thus, a sequence of logical connectives was used to combine climatic variable namely , rainfall and temperature to obtain favourable and unfavourable crop growth conditions for the Pearl millet. Bayed factor revealed the that probability estimates obtained using the informative prior performed better than those obtained using the non-informative prior. There is a lower probability, 0.4227 of a favourable climate for the pearl millet growth, indicating that climate change has an adverse effect on the crop.
Downloads
References
[1] Adah, V, Ikughur, J. A, Nwaosu, S. C and Udoumoh, E. F.. Discretization of Climatic Characteristics and Markov Chain Modelling of Crop Growth. Journal of Royal Statistics Society of Nigeria, vol.2, no.1, pp.99 - 117,2025
[2] Agada, P. O., Ogwuche, O. I. and Yaweh, B.I.. Probability Indicator Functions for Assessing the Impact of Climate Change on the Growth and Storage of Crops in Makurdi Metropolis: The Journal of the Mathematical Association of Nigeria (Abacus), vol. 46, no.1, pp. 391- 406 2019
[3] Akanbi, O. B., Olubusoye, O. E. and. Babatunde, S. A.. On Model Comparison: Application of Savage-Dickey Density Ratio to Bayes Factor. Asian Journal of Probability and Statistics, vol.6, no.3, pp. 25-46, (2020) DOI: https://doi.org/10.9734/ajpas/2020/v6i330162
[4] Alter, U., Too, M. A. and Cribbie, R. A.. Navigating the Bayes maze: The guide to Bayesian statistics, a hands-on tutorial with R code. International Journal of Psychology, vol.60 no.1, pp.1-14, 2025 DOI: https://doi.org/10.1002/ijop.13271
[5] Assoudou, S. And Essebbar, B.. A Bayesian Model for Binary Markov Chains, International Journal of Mathematics and Mathematical Sciences, vol. 8, pp. 421-429,2002 DOI: https://doi.org/10.1155/S0161171204202319
[6] Assoudou, S. And Essebbar, B.. A Bayesian Model for Markov Chains via Jeffrey's Prior, Communications in Statistics Theory and Methods, vol.32, no.11, pp. 2163-2184,2003 DOI: https://doi.org/10.1081/STA-120024474
[7] Banner, K. M, Irvine, K. M. and Rodhouse T. J.. The use of Bayesian priors in Ecology: The good, the bad and the not great, Methods in Ecology and Evolution, vol.11, no.3, pp.882–889, 2020 DOI: https://doi.org/10.1111/2041-210X.13407
[8] Bustamante, R. O., Iturriaga, A., Flores Alvarado, S., García, R. A. and Goncalves. E.. On the use of prior distributions in Bayesian inference applied to Ecology: an ecological example using binomial proportions in exotic plants, Central Chile, vol.96, no.6, pp.1-8.,2023 DOI: https://doi.org/10.1186/s40693-023-00118-0
[9] N. Demiris. Bayesian Inference for Stochastic Epidemic Models using Markov chain Monte Carlo Methods. Thesis Submitted to the University of Nottingham for the degree of Doctor of Philosophy,pp.23-41, 2004
[10] R. Levy and D. McNeish. Perspectives on Bayesian Inference and Their Application for Data Analysis. Psychological Methods, vol,28, no.1, pp.1-64., 2021
[11] F. Mahfuz. Markov Chains and their Applications. M.Sc. Thesis. Department of Mathematics. University of Texas at Tyler. pp. 140-153, 2023
[12] D, Mizutani, N, Lethanh B.T. Adey and K. Kaito. Improving the Estimation of Markov Transition Probabilities Using Mechanistic-Empirical Models. Front. Built Environ. vol.3, no.:58, .2017 DOI: https://doi.org/10.3389/fbuil.2017.00058
[13] E. Neamat. Stationary Distribution of Markov Chain. M.Sc. Thesis. Department of Mathematics, Uppsala University. Pp. 25-44, 2023
[14] O. A. Nuga and L.O. Adekola. A Markov Chain Analysis of Rainfall Distributions in Three Southwestern Cities Research Journal of Physical Sciences, vol,6, no.4, pp. 1-5, 2019.
[15] S. Phoong and M.T. Ismai. A Comparison Between Bayesian and Maximum Likelihood Estimations in Estimating Finite Mixture Model for Financial Data Sains Malaysiana vol.44, no.7, pp.1033–1039,2005 DOI: https://doi.org/10.17576/jsm-2015-4407-16
[16] M. A. Raheem, W. B. Yahaya and K. O. Obisesan. A Markov Chain Approach on Pattern of Rainfall Distribution. Journal of Environmental Statistics, vol.7, no.1, pp.1-8, 2015
[17] M. Sung, R. Soyer and N. Nhan. Bayesian Analysis of Non-homogeneous Markov Chains: Application to Mental Health Data. Statistics in Medicine. vol. 26, no.15, p.3000, 2007. DOI: https://doi.org/10.1002/sim.2775
[18] T. Marco. "Indicator function", Lectures on Probability Theory and Mathematical Statistics. Kindle Direct Publishing. Online Appendix. https://www.statlect.com/fundamentals-of-probability/indicator-functions, 2021.
[19] C. Yoo, J. Lee and Y. Ro. Markov Chain Decomposition of Monthly Rainfall into Daily Rainfall: Evaluation of Climate Change Impact. Advances in Meteorology, vol.2, no.1, pp.1-10.,2016 DOI: https://doi.org/10.1155/2016/7957490
[20] J. Zhang. Markov Chains, Mixing Times and Coupling Methods with an Application in Social Learning. Senior Thesis submitted to Northwestern University, p.142, 2020
[21] M. Zhu and A.Y. Lu. The Counter-intuitive Non-Informative Prior for the Bernoulli Family, Journal of Statistics Education, vol.12, no,1, pp.1-9, 2004 DOI: https://doi.org/10.1080/10691898.2004.11910734
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 V. Adah, J. A. Ikughur, S. C. Nwaosu, E. F. Udoumoh

This work is licensed under a Creative Commons Attribution 4.0 International License.
- Abstract 93
- PDF 39

