ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply System

The objective of this paper is to use autoregressive, integrated, and moving average (ARIMA) and transfer function ARIMA (TFARIMA) models to analyze the behavior of the main water quality parameters in the initial components of a drinking water supply system (DWSS) of a megacity (Bogota, Colombia)....

Full description

Bibliographic Details
Main Authors: Carlos Alfonso Zafra-Mejía, Hugo Alexander Rondón-Quintana, Carlos Felipe Urazán-Bonells
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Hydrology
Subjects:
Online Access:https://www.mdpi.com/2306-5338/11/1/10
_version_ 1797343524944871424
author Carlos Alfonso Zafra-Mejía
Hugo Alexander Rondón-Quintana
Carlos Felipe Urazán-Bonells
author_facet Carlos Alfonso Zafra-Mejía
Hugo Alexander Rondón-Quintana
Carlos Felipe Urazán-Bonells
author_sort Carlos Alfonso Zafra-Mejía
collection DOAJ
description The objective of this paper is to use autoregressive, integrated, and moving average (ARIMA) and transfer function ARIMA (TFARIMA) models to analyze the behavior of the main water quality parameters in the initial components of a drinking water supply system (DWSS) of a megacity (Bogota, Colombia). The DWSS considered in this study consisted of the following components: a river, a reservoir, and a drinking water treatment plant (WTP). Water quality information was collected daily and over a period of 8 years. A comparative analysis was made between the components of the DWSS based on the structure of the ARIMA and TFARIMA models developed. The results show that the best water quality indicators are the following: turbidity > color > total iron. Increasing the time window of the ARIMA analysis (daily/weekly/monthly) suggests an increase in the magnitude of the AR term for each DWSS component (WTP > river > reservoir). This trend suggests that the turbidity behavior in the WTP is more influenced by past observations compared to the turbidity behavior in the river and reservoir, respectively. Smoothing of the data series (moving average) as the time window of the ARIMA analysis increases leads to a greater sensitivity of the model for outlier detection. TFARIMA models suggest that there is no significant influence of past river turbidity events on turbidity in the reservoir, and of reservoir turbidity on turbidity at the WTP outlet. Turbidity outlier events between the river and reservoir occur mainly in a single observation (additive outliers), and between the reservoir and WTP also have a permanent effect over time (level shift outliers). The AR term of the models is useful for studying the transfer of effects between DWSS components, and the MA term is useful for studying the influence of external factors on water quality in each DWSS component.
first_indexed 2024-03-08T10:48:54Z
format Article
id doaj.art-08ffdaff7f4242d3aafa9ed44f9ee66a
institution Directory Open Access Journal
issn 2306-5338
language English
last_indexed 2024-03-08T10:48:54Z
publishDate 2024-01-01
publisher MDPI AG
record_format Article
series Hydrology
spelling doaj.art-08ffdaff7f4242d3aafa9ed44f9ee66a2024-01-26T16:50:04ZengMDPI AGHydrology2306-53382024-01-011111010.3390/hydrology11010010ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply SystemCarlos Alfonso Zafra-Mejía0Hugo Alexander Rondón-Quintana1Carlos Felipe Urazán-Bonells2Grupo de Investigación en Ingeniería Ambiental-GIIAUD, Facultad del Medio Ambiente y Recursos Naturales, Universidad Distrital Francisco José de Caldas, Bogotá E-110321, ColombiaFacultad del Medio Ambiente y Recursos Naturales, Universidad Distrital Francisco José de Caldas, Bogotá E-110321, ColombiaFacultad de Ingeniería, Programa de Ingeniería Civil, Universidad Militar Nueva Granada, Campus Cajicá E-250247, ColombiaThe objective of this paper is to use autoregressive, integrated, and moving average (ARIMA) and transfer function ARIMA (TFARIMA) models to analyze the behavior of the main water quality parameters in the initial components of a drinking water supply system (DWSS) of a megacity (Bogota, Colombia). The DWSS considered in this study consisted of the following components: a river, a reservoir, and a drinking water treatment plant (WTP). Water quality information was collected daily and over a period of 8 years. A comparative analysis was made between the components of the DWSS based on the structure of the ARIMA and TFARIMA models developed. The results show that the best water quality indicators are the following: turbidity > color > total iron. Increasing the time window of the ARIMA analysis (daily/weekly/monthly) suggests an increase in the magnitude of the AR term for each DWSS component (WTP > river > reservoir). This trend suggests that the turbidity behavior in the WTP is more influenced by past observations compared to the turbidity behavior in the river and reservoir, respectively. Smoothing of the data series (moving average) as the time window of the ARIMA analysis increases leads to a greater sensitivity of the model for outlier detection. TFARIMA models suggest that there is no significant influence of past river turbidity events on turbidity in the reservoir, and of reservoir turbidity on turbidity at the WTP outlet. Turbidity outlier events between the river and reservoir occur mainly in a single observation (additive outliers), and between the reservoir and WTP also have a permanent effect over time (level shift outliers). The AR term of the models is useful for studying the transfer of effects between DWSS components, and the MA term is useful for studying the influence of external factors on water quality in each DWSS component.https://www.mdpi.com/2306-5338/11/1/10ARIMA modelARIMA transfer function modeldrinking water supply systemforecasttime series analysiswater quality
spellingShingle Carlos Alfonso Zafra-Mejía
Hugo Alexander Rondón-Quintana
Carlos Felipe Urazán-Bonells
ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply System
Hydrology
ARIMA model
ARIMA transfer function model
drinking water supply system
forecast
time series analysis
water quality
title ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply System
title_full ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply System
title_fullStr ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply System
title_full_unstemmed ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply System
title_short ARIMA and TFARIMA Analysis of the Main Water Quality Parameters in the Initial Components of a Megacity’s Drinking Water Supply System
title_sort arima and tfarima analysis of the main water quality parameters in the initial components of a megacity s drinking water supply system
topic ARIMA model
ARIMA transfer function model
drinking water supply system
forecast
time series analysis
water quality
url https://www.mdpi.com/2306-5338/11/1/10
work_keys_str_mv AT carlosalfonsozaframejia arimaandtfarimaanalysisofthemainwaterqualityparametersintheinitialcomponentsofamegacitysdrinkingwatersupplysystem
AT hugoalexanderrondonquintana arimaandtfarimaanalysisofthemainwaterqualityparametersintheinitialcomponentsofamegacitysdrinkingwatersupplysystem
AT carlosfelipeurazanbonells arimaandtfarimaanalysisofthemainwaterqualityparametersintheinitialcomponentsofamegacitysdrinkingwatersupplysystem