A COMPARATIVE ANALYSIS OF GROWTH MODELS ON NIGERIA POPULATION

  • Esosa G. Idemudia
  • Oluwadare O. Ojo
Keywords: Nigeria, MSE, growth model, population, exponential

Abstract

Growth models have been applied over time to track and forecast changes in variables such as population, body height, biomass, fungal growth, and other aspects of numerous fields of study. This research focuses on modelling the growth of Nigeria’s population from the year 1981 to 2021 and determining the best fit model to represent Nigeria’s population growth (male, female and total). Seven growth models were considered in this research which includes: the linear, the exponential (Malthusian), Logistic (Verhulst), Gompertz, Hyperbolic, Brody and the Von Bertalanffy growth models. The criteria used for comparison of best fitted model were the coefficient of determination (R2), Akaike Information Criterion (AIC), Mean Square Error (MSE), and Bayesian Information Criterion (BIC). The R2 showed that the exponential, the logistic and the Gompertz growth models were all better fits for Nigeria’s population (male, female and total) having the highest R2 (0.999). Further comparison with the MSE, AIC and BIC revealed that the exponential growth model best represented Nigeria’s population growth (male, female and total) having the least MSE, AIC and BIC. Hence the exponential growth model should be considered by researchers in Nigeria population projection.

References

Acquah, J., Buabeng, A., & Brew, L. (2018). Comparative Study of Mathematical Models for Population Growth in Ghana Prisons. Ghana Journal of Technology, 3(1), 25–30.

Africa Population 1950-2022. (n.d.). Www.macrotrends.net. Retrieved December 12, 2022, from https://www.macrotrends.net/countries/AFR/africa/population#:~:text=The%20population%20of%20Africa%20in/

Behzadi, M. R. B., Aslaminejad, A. A., Sharifi, A. R., &Simianer, H. (2014). Comparison of Mathematical Models for Describing the Growth of Baluchi Sheep. Journal of Agricultural Science and Techology, 14, 57–68.

Desjardins, J. (2021, December 1). Population Boom: Charting how we got to nearly 8 billion people. World Economic Forum. https://www.weforum.org/agenda/2021/12/world-population-history/#:~:text=Today%2C%20the%20global%20population%20is/

Ebu, F. (2020, December 9). Nigeria’s population now 206m, says NPC. The Guardian Nigeria News - Nigeria and World News. https://guardian.ng/business-services/industry/nigerias-population-now-206m-says-npc/

Hojjati, F., &Hossein-Zadeh, N. G. (2017). Comparison of non-linear growth models to describe the growth curve of Mehraban sheep. Journal of Applied Animal Research, 46(1), 499–504. https://doi.org/10.1080/09712119.2017.1348949 DOI: https://doi.org/10.1080/09712119.2017.1348949

Ingiabuna, T. E., &Uzobo, E. (2016). Population and Development in Nigeria: An Assesment of the National Policy on Population and Sustainable Development. International Journal of Development and Management Review, 11.

Karadavut, U. (2010). Comparative study on some non-linear growth models for describing leaf growth of maize.

Kuhe, D. A. (2019). The Impact of Population Growth on Economic Growth and Development in Nigeria: An Econometric Analysis. Mediterranean Journal of Basic and Applied Sciences, 3(3), 100–111.

Kurnianto, E., Shinjo, A., &Suga, D. (1997). Comparison of the Three Growth Curve Models for Describing the Growth Patterns in Wild and Laboratory Mice. Journal of Veterinary Epidemiology, 1(2), 49–55. https://doi.org/10.2743/jve.1.49 DOI: https://doi.org/10.2743/jve.1.49

Liu, K., M., Wu, C., B., Joung, S. J., Tsai, W. P. and Su, K. Y. (2021). Multi-Model approach on growth estimation and association with Life history trait for Elasmobranchs. Front Sci. 8, 591692. DOI: https://doi.org/10.3389/fmars.2021.591692

Mandal, A., Baneh, H. and Notter, D. R. (2021). Modeling the growth curve of Muzaffarnagari lambs from India. Livestock Science 251, 104621. DOI: https://doi.org/10.1016/j.livsci.2021.104621

Matintu, S. (2016). Mathematical Model of Ethiopia’s Population Growth. Journal of Natural Sciences Research Www.iiste.org ISSN, 6(17).

Mwakissiile, A. J., &Mushi, A. R. (2019). Mathematical Model for Tanzania Population Growth. Tanzania Journal of Science, 49(3).

Nigeria - Census History. (1991). Countrystudies.us. http://countrystudies.us/nigeria/35.htm

Olanrewaju, S. O., Oguntade, E. S., &Olafioye, S. O. (2020). Modelling Nigeria Population Growth: A Trend Analysis Approach. International Journal of Innovative Science and Research Technology, 5(4).

Ometan, O. O., Atutuomah, E. S., Oseni, S. O., Olusa, T. V., &Adegbola, R. B. (2012). The Population model of Lagos State, Nigeria and Chaos theory. International Journal of Advanced Computer and Mathematical Sciences, 3(4), 510–519.

Pambegua, I. (2022, July 20). Nigerian census and its challenges. Punch Newspapers. https://punchng.com/nigerian-census-and-its-challenges/

Population, total - Africa | Data. (n.d.). Data.worldbank.org. Retrieved December 12, 2022, from https://data.worldbank.org/indicator/SP.POP.TOTL?locations=A9/

Publications – National Population Commission. (2021, November). Nationalpopulation.gov.ng. http://nationalpopulation.gov.ng/category/publications/

Tessy, S., Ezeora, J., Iweanandu, J., & Kerry, C. C. (2017). A Comparative Study of Mathematical and Statistical Models for Population Projection of Nigeria. International Journal of Scientific & Engineering Research, 8(2).

Vitalis, J. P., &Oruonye, E. D. (2021). The Nigerian population: A treasure for national development or an unsurmountable national challenge. International Journal of Science and Research Archive, 2(1), 136–142. https://doi.org/10.30574/ijsra.2021.2.1.0026 DOI: https://doi.org/10.30574/ijsra.2021.2.1.0026

Wali, A., &Kagoyire, E. (2012). Mathematical Modeling of Uganda Population Growth. Applied Mathematical Sciences, 6(84), 4155–4168.

World Bank. (2022a). Birth rate, crude (per 1,000 people) - Nigeria | Data. Data.worldbank.org. https://data.worldbank.org/indicator/SP.DYN.CBRT.IN?locations=NG/

World Bank. (2022b). Death rate, crude (per 1,000 people) - Nigeria | Data. Data.worldbank.org. https://data.worldbank.org/indicator/SP.DYN.CDRT.IN?locations=NG/

World Bank. (2022c). Fertility rate, total (births per woman) - Nigeria | Data. Worldbank.org. https://data.worldbank.org/indicator/SP.DYN.TFRT.IN?locations=NG/

World Bank. (2022d). Net migration - Nigeria | Data. Data.worldbank.org. https://data.worldbank.org/indicator/SM.POP.NETM?locations=NG/

Published
2024-02-15
How to Cite
Idemudia E. G., & Ojo O. O. (2024). A COMPARATIVE ANALYSIS OF GROWTH MODELS ON NIGERIA POPULATION. FUDMA JOURNAL OF SCIENCES, 7(6), 373 - 381. https://doi.org/10.33003/fjs-2023-0706-2215