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Airborn imaging spectroscopy is a valuable method to characterize the distribution of plant life for ecological, agricultural, and environmental research. In this study, spectroscopy measurements of ‘Ohi’a Lehua, a keystone tree species on the Big Island of Haw’aii, were collected for tree samples at various locations across the island.

The Henderson Inverse Theorem is an important result on the relationship between the radial distribution function and pairwise additive potential in a statistical ensemble. This theorem is the basis for the structure-optimized potential refinement algorithm and provides a variational solution to the statistical mechanical inverse problem.

The Kirkwood-Buff solution theory was presented in a landmark paper in 1951. The theory relates particle number fluctuations in the grand canonical ensemble to integrals of the radial distribution function. In this short introduction to the topic, we will introduce the statistical mechanics required to understand Kirkwood-Buff solution theory.