Development of a copula‐based particle filter (CopPF) approach for hydrologic data assimilation under consideration of parameter interdependence

• Published in: Water resources research 2017-06, Vol.53 (6), p.4850-4875
• Main Authors: Fan, Y. R., Huang, G. H., Baetz, B. W., Li, Y. P., Huang, K.
• Format: Article
• Language: English
• Subjects: Case studies; Computer simulation; copula; Data; Data assimilation; Data collection; Degeneration; Evolution; Hydrologic data; Hydrologic models; hydrological prediction; Hydrology; Markov chains; Monte Carlo simulation; parameter interdependence; Resampling; Statistical methods; uncertainty
• ISSN: 0043-1397; 1944-7973
• DOI: 10.1002/2016WR020144

In this study, a copula‐based particle filter (CopPF) approach was developed for sequential hydrological data assimilation by considering parameter correlation structures. In CopPF, multivariate copulas are proposed to reflect parameter interdependence before the resampling procedure with new particles then being sampled from the obtained copulas. Such a process can overcome both particle degeneration and sample impoverishment. The applicability of CopPF is illustrated with three case studies using a two‐parameter simplified model and two conceptual hydrologic models. The results for the simplified model indicate that model parameters are highly correlated in the data assimilation process, suggesting a demand for full description of their dependence structure. Synthetic experiments on hydrologic data assimilation indicate that CopPF can rejuvenate particle evolution in large spaces and thus achieve good performances with low sample size scenarios. The applicability of CopPF is further illustrated through two real‐case studies. It is shown that, compared with traditional particle filter (PF) and particle Markov chain Monte Carlo (PMCMC) approaches, the proposed method can provide more accurate results for both deterministic and probabilistic prediction with a sample size of 100. Furthermore, the sample size would not significantly influence the performance of CopPF. Also, the copula resampling approach dominates parameter evolution in CopPF, with more than 50% of particles sampled by copulas in most sample size scenarios. Key Points A copula‐based particle filter approach is developed for hydrological data assimilation Synthetic experiments and real‐case studies demonstrate performance of the CopPF method Results suggest that CopPF provides greater opportunities to access new samples which in turn lead to more accurate predictions