Prediction of the number of domestic animals and birds in the conditions of the economic crisis

Abstract

The article analyzes the nonlinear regressions, on the basis of which the forecast of economic characteristic in the crisis period is made. Regression functions are obtained by solving the corresponding differential equations. It is shown on the example of the change in the number of animals in Ukraine and Russia for 1990–2017, what these changes may correspond to an exponential, logistic regression or their modifications. It is shown that in the crisis period, the dynamics of the decrease in the number of livestock corresponds to the modified exponential regression. It is suggested to find the two parameters of these regressions using the least squares method, the third parameter to be determined by the numerical method with the minimum average absolute percentage error (MAPE). At the exit of the crisis state, when the process of increasing the number of livestock begins, the dynamics corresponds to a modified logistic regression. Two logistic regression parameters were determined using the least squares method, the third and fourth parameters calculate by a numerical method from the condition of a minimum MAPE as a function of two variables. The theoretical findings obtained are in good agreement with the statistics corresponding to the dynamics of cows, pigs, sheep, goats and poultry in Ukraine for the period 1990–2017.