Numerical treatment of Manhattan Distance

Abstract

The Manhattan Distance Measure is an important metric that can provide a more robust explanation for variations in cowpea and groundnut yields. Using a well-established ordinary differential equation and the ODE45 numerical simulation method, this study offers a numerical analysis of the Manhattan measure in relation to the variations in the initial biomass of cowpeas and groundnuts over a specified growing season. The results demonstrate that a slight variation in the initial conditions for both crops leads to a larger estimated value of the Manhattan distance, while a relatively larger variation in the same initial conditions results in a smaller estimated value of the Manhattan distance.