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Stochastic modeling of suspended sediment load in alluvial rivers

Journal: CATENA [cite: 53]

Methodology

This paper introduces a parsimonious probabilistic model rooted in multivariate probability theory. We utilized Copula theory to model the dependence structure between discharge ($Q$) and suspended sediment load ($SSL$). $$ F_{QS}(q, s) = C(F_Q(q), F_S(s)) $$ This approach allows for predicting sediment transport with remarkable precision by capturing the non-linear tail dependence [cite: 54, 79-80].

Key Results

  • Validated on 67 streams across three hydrological regimes in the US[cite: 52].
  • Successfully inferred conditional marginal distributions of SSL for given discharge levels.
  • Outperformed traditional regression models in accuracy.

Teaching Module

Q: Why use Copulas?
Q: Sklar's Theorem