Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in Morocco

This study analyzes the spatiotemporal variability of precipitation at the scale of the Moulouya watershed in eastern Morocco, which is very vulnerable to the increasing water shortage. For this purpose, we opted for wavelet transformation, a method based on the spectral analysis of data which allow...

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Main Authors: Rachid Addou, Mohamed Hanchane, Nir Y. Krakauer, Ridouane Kessabi, Khalid Obda, Majda Souab, Imad Eddine Achir
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/6/3841
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author Rachid Addou
Mohamed Hanchane
Nir Y. Krakauer
Ridouane Kessabi
Khalid Obda
Majda Souab
Imad Eddine Achir
author_facet Rachid Addou
Mohamed Hanchane
Nir Y. Krakauer
Ridouane Kessabi
Khalid Obda
Majda Souab
Imad Eddine Achir
author_sort Rachid Addou
collection DOAJ
description This study analyzes the spatiotemporal variability of precipitation at the scale of the Moulouya watershed in eastern Morocco, which is very vulnerable to the increasing water shortage. For this purpose, we opted for wavelet transformation, a method based on the spectral analysis of data which allows for periodic components of a rainfall time series to change with time. The results obtained from this work show spectral power across five frequency ranges of variability: 1 to 2 years, 2 to 4 years, 4 to 8 years, 8 to 16 years, and 16 to 32 years. The duration of significant power at these frequencies is generally not homogeneous and varies from station to station. The most widespread frequency over the entire study area was found in the 4- to 8-year range. This mode of variability can last up to 27 consecutive years. In most of the basin, this mode of variability was observed around the period between 1990 and 2010. Oscillations at 8 to 16 years in frequency appear in only five series and over different time periods. The 16- to 32-year mode of variability appears in 15 stations and extends over the period from 1983 to 2008. At this level, signal strength is very weak compared to other higher-frequency modes of variability. On the other hand, the mode of variability at the 1- to 2-year frequency range appeared to be continuous in some stations and intermittent in others. This allowed us to regionalize our study basin into two homogeneous clusters that only differ in variability and rainfall regime.
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spelling doaj.art-7d935733dc0e413387a8b29a431e64122023-11-17T09:27:41ZengMDPI AGApplied Sciences2076-34172023-03-01136384110.3390/app13063841Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in MoroccoRachid Addou0Mohamed Hanchane1Nir Y. Krakauer2Ridouane Kessabi3Khalid Obda4Majda Souab5Imad Eddine Achir6Department of Geography, Faculty of Letters and Humanities Sais, University Sidi Mohamed Ben Abdallah, Fez 30050, MoroccoLaboratoire Territoire Patrimoine et Histoire, Department of Geography, Faculty of Letters and Humanities Dhar El-Mehraz, Sidi Mohamed Ben Abdellah University, Fez 30050, MoroccoDepartment of Civil Engineering, The City College of New York, New York, NY 10031, USALaboratoire Territoire Patrimoine et Histoire, Department of Geography, Faculty of Letters and Humanities Dhar El-Mehraz, Sidi Mohamed Ben Abdellah University, Fez 30050, MoroccoDepartment of Geography, Faculty of Letters and Humanities Sais, University Sidi Mohamed Ben Abdallah, Fez 30050, MoroccoLaboratoire Territoire Patrimoine et Histoire, Department of Geography, Faculty of Letters and Humanities Dhar El-Mehraz, Sidi Mohamed Ben Abdellah University, Fez 30050, MoroccoLaboratoire Territoire Patrimoine et Histoire, Department of Geography, Faculty of Letters and Humanities Dhar El-Mehraz, Sidi Mohamed Ben Abdellah University, Fez 30050, MoroccoThis study analyzes the spatiotemporal variability of precipitation at the scale of the Moulouya watershed in eastern Morocco, which is very vulnerable to the increasing water shortage. For this purpose, we opted for wavelet transformation, a method based on the spectral analysis of data which allows for periodic components of a rainfall time series to change with time. The results obtained from this work show spectral power across five frequency ranges of variability: 1 to 2 years, 2 to 4 years, 4 to 8 years, 8 to 16 years, and 16 to 32 years. The duration of significant power at these frequencies is generally not homogeneous and varies from station to station. The most widespread frequency over the entire study area was found in the 4- to 8-year range. This mode of variability can last up to 27 consecutive years. In most of the basin, this mode of variability was observed around the period between 1990 and 2010. Oscillations at 8 to 16 years in frequency appear in only five series and over different time periods. The 16- to 32-year mode of variability appears in 15 stations and extends over the period from 1983 to 2008. At this level, signal strength is very weak compared to other higher-frequency modes of variability. On the other hand, the mode of variability at the 1- to 2-year frequency range appeared to be continuous in some stations and intermittent in others. This allowed us to regionalize our study basin into two homogeneous clusters that only differ in variability and rainfall regime.https://www.mdpi.com/2076-3417/13/6/3841monthly precipitationvariabilitywavelet transformationMoulouya watershedMorocco
spellingShingle Rachid Addou
Mohamed Hanchane
Nir Y. Krakauer
Ridouane Kessabi
Khalid Obda
Majda Souab
Imad Eddine Achir
Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in Morocco
Applied Sciences
monthly precipitation
variability
wavelet transformation
Moulouya watershed
Morocco
title Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in Morocco
title_full Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in Morocco
title_fullStr Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in Morocco
title_full_unstemmed Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in Morocco
title_short Wavelet Analysis for Studying Rainfall Variability and Regionalizing Data: An Applied Study of the Moulouya Watershed in Morocco
title_sort wavelet analysis for studying rainfall variability and regionalizing data an applied study of the moulouya watershed in morocco
topic monthly precipitation
variability
wavelet transformation
Moulouya watershed
Morocco
url https://www.mdpi.com/2076-3417/13/6/3841
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