Comparative Study of Mathematical Models for Population Growth in Ghana Prisons

Joseph Acquah, A. Buabeng, L. Brew

Abstract


The study examined the population growth in the Ghana Prisons based on four growth models. The models examined were the Logistic, Gompertz, Gaussian and the Richards. All the models were then used to predict the population growth in the Ghana prisons up to 2025. Although all the approximated models gave a good estimation of the observed population growth of prisoners in Ghana, the Gompertz model was adjudged to give the best approximation. The model was selected based on its high proportion of variance as well as having the least value in terms of Root Mean Square Error (RMSE) and information loss. The model suggested that the population of prisoners in Ghana could increase to about 14 530 by 2025.


Keywords


Sigmoid, Logistic, Gompertz, Gaussian, Richards, Prisoners, Population Growth

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References


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