A COMPARATIVE ANALYSIS OF GROWTH MODELS ON NIGERIA POPULATION

Esosa G. Idemudia, Oluwadare O. Ojo
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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.
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尼日利亚人口增长模式的比较分析
随着时间的推移,增长模型已被用于跟踪和预测人口、身高、生物量、真菌生长等变量的变化,以及众多研究领域的其他方面。本研究的重点是建立从 1981 年到 2021 年尼日利亚人口增长模型,并确定最适合代表尼日利亚人口增长(男性、女性和总人口)的模型。本研究考虑了七种增长模型,其中包括:线性模型、指数模型(马尔萨斯模型)、逻辑模型(维尔赫斯特模型)、贡珀茨模型、双曲线模型、布罗迪模型和冯-贝塔朗菲模型。比较最佳拟合模型的标准是判定系数 (R2)、阿凯克信息准则 (AIC)、均方误差 (MSE) 和贝叶斯信息准则 (BIC)。R2 显示,指数增长模型、逻辑增长模型和 Gompertz 增长模型对尼日利亚人口(男性、女性和总人口)的拟合效果都较好,R2 最高(0.999)。与 MSE、AIC 和 BIC 的进一步比较显示,指数增长模型最能代表尼日利亚的人口增长情况(男性、女性和总人口),其 MSE、AIC 和 BIC 最低。因此,尼日利亚人口预测研究人员应考虑采用指数增长模型。
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