Species Sensitivity Distribution revisited: a Bayesian nonparametric approach

πŸ“… 2026-02-04
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This study addresses key limitations of traditional species sensitivity distribution (SSD) methods, which rely on strong parametric assumptions, struggle with small-sample and censored data, and lack robust uncertainty quantification. For the first time, Bayesian nonparametric (BNP) modeling is introduced to SSD analysis, employing a nonparametric mixture prior with strong clustering properties. This approach simultaneously achieves density estimation, cluster identification, and rigorous uncertainty quantification without requiring pre-specified distributional forms. Using Markov chain Monte Carlo (MCMC) inference, the proposed method consistently outperforms conventional SSD techniques in both simulated and real ecotoxicological datasets, substantially enhancing the robustness and interpretability of ecological risk assessments. An accompanying interactive BN P-SSD Shiny application is also provided to facilitate practical implementation.

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πŸ“ Abstract
We present a novel approach to ecological risk assessment by recasting the Species Sensitivity Distribution (SSD) method within a Bayesian nonparametric (BNP) framework. Widely mandated by environmental regulatory bodies globally, SSD has faced criticism due to its historical reliance on parametric assumptions when modeling species variability. By adopting nonparametric mixture models, we address this limitation, establishing a statistically robust foundation for SSD. Our BNP approach offers several advantages, including its efficacy in handling small datasets or censored data, which are common in ecological risk assessment, and its ability to provide principled uncertainty quantification alongside simultaneous density estimation and clustering. We utilize a specific nonparametric prior as the mixing measure, chosen for its robust clustering properties, a crucial consideration given the lack of strong prior beliefs about the number of components. Through simulation studies and analysis of real datasets, we demonstrate the superiority of our BNP-SSD over classical SSD methods. We also provide a BNP-SSD Shiny application, making our methodology available to the Ecotoxicology community. Moreover, we exploit the inherent clustering structure of the mixture model to explore patterns in species sensitivity. Our findings underscore the effectiveness of the proposed approach in improving ecological risk assessment methodologies.
Problem

Research questions and friction points this paper is trying to address.

Species Sensitivity Distribution
ecological risk assessment
parametric assumptions
species variability
censored data
Innovation

Methods, ideas, or system contributions that make the work stand out.

Bayesian nonparametric
Species Sensitivity Distribution
mixture models
uncertainty quantification
ecological risk assessment
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