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Published in: Water Resources Management 11/2022

28-07-2022

Unraveling the Lagged Effect of Hydro-meteorological Conditions On the Trophic State of a Reservoir By Applying Dynamic Regression

Authors: Pablo F. Andreoni, Marcia A. Ruiz, María Inés Rodríguez, Ana Laura Ruibal-Conti

Published in: Water Resources Management | Issue 11/2022

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Abstract

In this study we develop a novel approach to quantify the relative importance of hydro-meteorological (HM) conditions on the trophic state index (TSI) of a water reservoir (San Roque, Córdoba, Argentina). Seven HM variables measured at four reservoir sites and different depths over a time period of near 2 decades are used. We propose a dynamic regression model to predict the TSI from these variables aggregated over a range of time lags, which has not been applied in such a complex setting so far. By performing coefficient analysis, we quantify the relative importance of these variables on the TSI, as well as the time duration over which they have significant impact (lagged effect). Additionally, the analysis of the autoregressive and moving average (ARIMA) terms reveals the impact of the residual effects of previous trophic states on the current trophic state. We find that surface temperature and precipitation have the largest direct relationship to the TSI in the short-term, while the reservoir water level is inversely related to the TSI in the short- to mid-term. Also, the residual effects of the trophic state impact from 1 month (generally) up to 2 years (exceptionally). This approach can be applied to other water bodies affected by similar eutrophication phenomena.

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Footnotes
1
Code (3) It is missing as there was not enough data.
 
2
In case of a unique station its values were associated with all the sites without any transformations.
 
3
In a few cases water transparency was measured 0, it was replaced by 0.05 (5 cm) given a TSI slightly greater than 100, pointing out it is an anomaly.
 
4
No backshifting was considered for the regressor variables as their lagged effect was represented by the temporal scopes.
 
5
Superscript is used to indicate temporal scope and statistically significant coefficients are represented in bold. Time series differentiation is indicated with the apostrophe symbol ('), such that: xt' = xt -xt-1.
 
6
The evaluation of these models by applying them to other reservoirs’ data accessible by the authors can only be partial for a number of reasons: the availability of the multiple variables records is very limited, the time series are not of a comparable length, and no equivalent sampling points are usually measured (as it depends very much on the characteristics of the reservoirs).
 
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Metadata
Title
Unraveling the Lagged Effect of Hydro-meteorological Conditions On the Trophic State of a Reservoir By Applying Dynamic Regression
Authors
Pablo F. Andreoni
Marcia A. Ruiz
María Inés Rodríguez
Ana Laura Ruibal-Conti
Publication date
28-07-2022
Publisher
Springer Netherlands
Published in
Water Resources Management / Issue 11/2022
Print ISSN: 0920-4741
Electronic ISSN: 1573-1650
DOI
https://doi.org/10.1007/s11269-022-03254-6

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