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Fractionally differenced ARIMA models applied to hydrologic time series: Identification, estimation, and simulation

Open access
Montanari, Alberto, Rosso, Renzo, Taqqu, Murad S.·1997·Water Resources Research

Abstract

Since Hurst[1951] detected the presence of long‐term persistence in hydrologic data, new estimation methods and long‐memory models have been developed. The lack of flexibility in representing the combined effect of short and long memory has been the major limitation of stochastic models used to analyze hydrologic time series. In the present paper a fractionally differenced autoregressive integrated moving average (FARIMA) model is considered. In contrast to using traditional ARIMA models, this approach allows the modeling of both short‐ and long‐term persistence in a time series. A framework for identification and estimation is presented. The data do not have to be Gaussian. The resulting model, which replicates the sample probability density of the data, can be used for the generation of long synthetic series. An application to the monthly and daily inflows of Lake Maggiore, Italy, is presented.

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Metadata

Authors
Montanari, A., Rosso, R., & Taqqu, M. S.
Venue
Water Resources Research
Published
1997-05
Volume
33
Issue
5
Pages
1035-1044
ISSN
  • 0043-1397 (ISSN-L)
  • 1944-7973
OpenAlex
W1984169787
Cited by
289
References
21
FWCI
6.63
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Fractionally differenced ARIMA models applied to hydrologic time series: Identification, estimation, and simulation. https://app.cochat.ai/papers/10.1029/97wr00043
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Montanari, A., Rosso, R., & Taqqu, M. S. (1997). Fractionally differenced ARIMA models applied to hydrologic time series: Identification, estimation, and simulation. Water Resources Research. https://doi.org/10.1029/97wr00043

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.