Lorenz Equation and Its Applications on the Impacts of Climate Change on Human Activities in the Tropical Zones

Abstract

Climate change casts a long shadow across the globe, and its effects are particularly severe for human activities concentrated in the tropics. Understanding these impacts are the keys to crafting effective strategies to lessen the damage and adjust to the changing environment. Through this study, we aim to investigate the impacts of climate change on human activities particularly on agriculture, water availability and health issues. We utilize the Lorenz equation to simulate the behavior of a simplified climate system, taking into account the use of fourth order Runge-Kutta method (RK4) and ode45 for numerical solutions via the use of MATLAB software package. By incorporating the RK4 and ode45 methods, we can numerically solve the Lorenz equations and capture the complex dynamics of the climate system.  The sensitivity analysis was conducted on three key parameters. Through our sensitivity analysis, we can understand how variations in these parameters can impact the behavior of the climate system and subsequently influence human activities in the tropics. A detailed study of these three parameters reveals that climatic systems are very unpredictable. Increased convection might lead to changes in rainfall patterns, impacting water availability for agriculture and potentially influencing drought or flood risks. While the Lorenz model is a simplified system, it is still a very effective tool in understanding how climatic systems such as the tropical climate system works.