Modeling time series of ground water head fluctuations subjected to multiple stresses

Ground Water
Jos R von AsmuthJörg Petersen

Abstract

The methods behind the predefined impulse response function in continuous time (PIRFICT) time series model are extended to cover more complex situations where multiple stresses influence ground water head fluctuations simultaneously. In comparison to autoregressive moving average (ARMA) time series models, the PIRFICT model is optimized for use on hydrologic problems. The objective of the paper is twofold. First, an approach is presented for handling multiple stresses in the model. Each stress has a specific parametric impulse response function. Appropriate impulse response functions for other stresses than precipitation are derived from analytical solutions of elementary hydrogeological problems. Furthermore, different stresses do not need to be connected in parallel in the model, as is the standard procedure in ARMA models. Second, general procedures are presented for modeling and interpretation of the results. The multiple-input PIRFICT model is applied to two real cases. In the first one, it is shown that this model can effectively decompose series of ground water head fluctuations into partial series, each representing the influence of an individual stress. The second application handles multiple observation wells. It is s...Continue Reading

References

Apr 22, 1948·Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences·H L PENMAN

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Citations

May 23, 2019·Ground Water·Ana Fernández-AyusoNuria Naranjo-Fernández
Jun 17, 2010·Ground Water·Dylan R Harp, Velimir V Vesselinov
Feb 28, 2013·Ground Water·Mark Bakker
Apr 1, 2016·Global Change Biology·Bärbel TiemeyerJutta Zeitz
Jul 28, 2019·Ground Water·Raoul A CollenteurFrans Schaars

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