What does this research mean for the field?

The error in approximating a nonlinear hydrologic reservoir with a linear one is not constant over time, but rather varies continuously across different discharge values of the hydrograph. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

Derive a continuous error graph across an entire hydrograph to determine how accurately a linear reservoir model approximates a nonlinear reservoir over time and varying discharge values.

August 27, 2026Journal of Hydrologic Engineering

Error in Response of a Linear Reservoir in Comparison with That of a Nonlinear Reservoir

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Authors

VSVijay P. SinghLouisiana State University QSQiong SuClemson University

Discussion

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Implication

Hydrologic modeling analysis reveals time-varying errors when approximating nonlinear reservoirs with linear models, indicating single summary metrics mask discharge-dependent errors.

Key Points

Derive a continuous error graph across an entire hydrograph to determine how accurately a linear reservoir model approximates a nonlinear reservoir over time and varying discharge values.
Evaluated the mathematical approximation of nonlinear reservoirs by linear reservoirs across rainfall-runoff, groundwater, and flow routing contexts.
Derived time-dependent error functions over the complete hydrograph rather than relying on aggregate summary metrics like root mean square error or correlation coefficients.
Demonstrated that modeling error between linear and nonlinear reservoirs varies continuously over time rather than remaining constant.
Showed that approximation error fluctuates across different discharge levels, revealing limitations in single-metric hydrograph performance evaluations.

Cite This Study

Singh et al. (2026) studied this question.

synapsesocial.com/papers/6a8fe9ad10c91c1e9262179a https://doi.org/10.1061/jhyeff.heeng-6925

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August 27, 2026Journal of Hydrologic Engineering

Error in Response of a Linear Reservoir in Comparison with That of a Nonlinear Reservoir

View Full Paper

Ask AI

Bookmark

Authors

VSVijay P. SinghLouisiana State University QSQiong SuClemson University

Discussion

Member takes

Implication

Hydrologic modeling analysis reveals time-varying errors when approximating nonlinear reservoirs with linear models, indicating single summary metrics mask discharge-dependent errors.

Key Points

Derive a continuous error graph across an entire hydrograph to determine how accurately a linear reservoir model approximates a nonlinear reservoir over time and varying discharge values.
Evaluated the mathematical approximation of nonlinear reservoirs by linear reservoirs across rainfall-runoff, groundwater, and flow routing contexts.
Derived time-dependent error functions over the complete hydrograph rather than relying on aggregate summary metrics like root mean square error or correlation coefficients.
Demonstrated that modeling error between linear and nonlinear reservoirs varies continuously over time rather than remaining constant.
Showed that approximation error fluctuates across different discharge levels, revealing limitations in single-metric hydrograph performance evaluations.

Cite This Study

Singh et al. (2026) studied this question.

synapsesocial.com/papers/6a8fe9ad10c91c1e9262179a https://doi.org/10.1061/jhyeff.heeng-6925

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