👉 Forests, particularly those in tropical regions, exhibit complex mathematical patterns and behaviors that can be analyzed through various lenses. One key concept is the
species distribution model
, which uses statistical methods to predict where different tree species will thrive based on environmental factors like soil type, rainfall, and temperature. These models often rely on
multivariate regression
to understand the relationships between multiple variables affecting forest composition. Additionally,
fractal geometry
helps describe the self-similar patterns found in tree branching and canopy structure, revealing how forests optimize light capture and resource distribution. The
ecological succession theory
also has a mathematical underpinning, using differential equations to model how forest communities change over time after disturbances. Furthermore,
network theory
is applied to study the interconnections between different species within a forest ecosystem, highlighting the importance of biodiversity for resilience. These mathematical frameworks not only help in understanding forest dynamics but also in developing strategies for conservation and sustainable management.