Stochastic ecohydrological perspective on semi-distributed rainfall-runoff dynamics

Fuente: arXiv
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Main Authors: Bartlett, Mark S., Cultra, Elizabeth, Geldner, Nathan, Porporato, Amilcare
Format: Preprint
Published: 2025
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author Bartlett, Mark S.
Cultra, Elizabeth
Geldner, Nathan
Porporato, Amilcare
author_facet Bartlett, Mark S.
Cultra, Elizabeth
Geldner, Nathan
Porporato, Amilcare
contents Quantifying watershed process variability consistently with climate change and ecohydrological dynamics remains a central challenge in hydrology. Stochastic ecohydrology characterizes hydrologic variability through probability distributions that link climate, hydrology, and ecology. However, these approaches are often limited to small spatial scales (e.g., point or plot level) or focus on specific fluxes (e.g., streamflow), without accounting for the entire water balance at the basin scale. While semi-distributed models account for spatial heterogeneity and upscaled hydrologic fluxes, they lack the analytical simplicity of stochastic ecohydrology or the SCS-CN method and, perhaps more importantly, do not integrate the effects of past random variability in hydroclimatic conditions. This hinders an efficient characterization of hydrological statistics at the watershed scale. To overcome these limitations, we merge stochastic ecohydrology, the spatial upscaling of semi-distributed modeling, and the SCS-CN rainfall-runoff partitioning. The resulting unified model analytically characterizes watershed ecohydrological and hydrological statistics using probability density functions (PDFs) that are functions of climate and watershed attributes -- something unattainable with the Monte Carlo methods of traditional stochastic hydrology. Calibrated across 81 watersheds in Florida and southern Louisiana, the model PDFs precisely capture the long-term average water balance and runoff variance, as well as the runoff quantiles with a median normalized Nash-Sutcliffe (NNSE) efficiency of 0.95. These results also advance the SCS-CN method by providing an analytical PDF for the Curve Number (CN), explicitly linked to climate variables, baseflow, and the long-term water balance partitioning described by the Budyko curve.
format Preprint
id arxiv_https___arxiv_org_abs_2503_19220
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stochastic ecohydrological perspective on semi-distributed rainfall-runoff dynamics
Bartlett, Mark S.
Cultra, Elizabeth
Geldner, Nathan
Porporato, Amilcare
Geophysics
Applications
Quantifying watershed process variability consistently with climate change and ecohydrological dynamics remains a central challenge in hydrology. Stochastic ecohydrology characterizes hydrologic variability through probability distributions that link climate, hydrology, and ecology. However, these approaches are often limited to small spatial scales (e.g., point or plot level) or focus on specific fluxes (e.g., streamflow), without accounting for the entire water balance at the basin scale. While semi-distributed models account for spatial heterogeneity and upscaled hydrologic fluxes, they lack the analytical simplicity of stochastic ecohydrology or the SCS-CN method and, perhaps more importantly, do not integrate the effects of past random variability in hydroclimatic conditions. This hinders an efficient characterization of hydrological statistics at the watershed scale. To overcome these limitations, we merge stochastic ecohydrology, the spatial upscaling of semi-distributed modeling, and the SCS-CN rainfall-runoff partitioning. The resulting unified model analytically characterizes watershed ecohydrological and hydrological statistics using probability density functions (PDFs) that are functions of climate and watershed attributes -- something unattainable with the Monte Carlo methods of traditional stochastic hydrology. Calibrated across 81 watersheds in Florida and southern Louisiana, the model PDFs precisely capture the long-term average water balance and runoff variance, as well as the runoff quantiles with a median normalized Nash-Sutcliffe (NNSE) efficiency of 0.95. These results also advance the SCS-CN method by providing an analytical PDF for the Curve Number (CN), explicitly linked to climate variables, baseflow, and the long-term water balance partitioning described by the Budyko curve.
title Stochastic ecohydrological perspective on semi-distributed rainfall-runoff dynamics
topic Geophysics
Applications
url https://arxiv.org/abs/2503.19220