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Environmental concentrations as ratios of random variables

Bibliographic Data

ID15549249
AuthorsSaverio Perri (0000-0001-6382-1381, Princeton University, corresponding author), Amilcare Porporato (0000-0001-9378-207X, Princeton University)
Year2022
Volume17
Issue2
Pages024011-024011
Publication date2022-01-12
Open AccessYes
TypeARTICLE
VenueEnvironmental Research Letters (JOURNAL)
Journal identifiersISSN: 1748-9326 • E-ISSN: 1748-9326
PublisherIOP Publishing (PUBLISHER • GB)
DOI10.1088/1748-9326/ac4a9f
OpenAlexW4205495254
LanguageEN
References cited122

Human-induced environmental change increasingly threatens the stability of socio-ecological systems. Careful statistical characterization of environmental concentrations is critical to quantify and predict the consequences of such changes on human and ecosystems conditions. However, while concentrations are naturally defined as the ratio between solute mass and solvent volume, they have rarely been treated as such, typically limiting the analysis to familiar distributions generically used for any other environmental variable. To address this gap, we propose a more general framework that leverages their definition explicitly as ratios of random variables. We show that the resulting models accurately describe the behavior of nitrate plus nitrite in US rivers and salt concentration in estuaries in the Everglades by accounting for heavy tails potentially emerging when the water volume fluctuates around low values. Models that preclude the presence of heavy tails and the related high probability of extreme concentrations could significantly undermine the accuracy of diagnostic frameworks and the effectiveness of mitigation interventions, especially for soil contamination characterized by a water volume (i.e. soil moisture) frequently approaching zero

Atmospheric sciences · Biology · Ecosystem · Estuary · Hydrology (agriculture · Limiting · Nitrate · Soil water · Stability (learning theory · Variable (mathematics · Volume (thermodynamics · Chemistry · Computer Science · Environmental Science · Groundwater and Isotope Geochemistry · Mathematics · Soil and Water Nutrient Dynamics · Water Quality and Pollution Assessment · Ecology · Environmental Chemistry · Geology · Soil Science

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