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Bayesian Hierarchical Modelling Of Size Spectra, Jeff S. Wesner, Justin P.F. Pomeranz, James R. Junker, Vojsava Gjoni

Michigan Tech Publications, Part 2

A fundamental pattern in ecology is that smaller organisms are more abundant than larger organisms. This pattern is known as the individual size distribution (ISD), which is the frequency distribution of all individual body sizes in an ecosystem. The ISD is described by a power law and a major goal of size spectra analyses is to estimate the exponent of the power law, λ. However, while numerous methods have been developed to do this, they have focused almost exclusively on estimating λ from single samples. Here, we develop an extension of the truncated Pareto distribution within the probabilistic modelling language …