Mathematical Models for Land Consolidation and Crop Yield Prediction

Abstract

The current work focuses on the development and application of mathematical models for land consolidation and crop yield prediction in various regions of the Republic of Armenia. Land consolidation is currently a highly important and timely issue for Armenia. The first part of the study introduces a new mathematical model designed to analyze and evaluate improvements in land use efficiency through consolidation. A method is also proposed for incorporating uncultivated lands into cultivated areas to optimize land utilization. A numerical example is provided to illustrate the application of the model. In the second part, a linear programming approach is used to determine the optimal allocation of total land area among different crops, with the goal of predicting the maximum possible yield. Numerical examples are presented to demonstrate the practical application of the theoretical findings for various crop types. The proposed models are novel, versatile, and can be successfully adapted for use in other countries.