Skip to main content
Top
Published in: Water Resources Management 15/2020

01-10-2020

Probabilistic Analysis of Long-Term Climate Drought Using Steady-State Markov Chain Approach

Authors: Saeed Azimi, Erfan Hassannayebi, Morteza Boroun, Mohammad Tahmoures

Published in: Water Resources Management | Issue 15/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This study presents a steady-state Markov chain model to predict the long-term probability of drought conditions. The research aims to propose a rigorous framework for statistical analysis of drought characteristics and its trends over time for a large area of aquifers and plains in Iran. For this purpose, two meteorological indicators called the Standardized Precipitation Index (SPI), and the Groundwater Resource Index (GRI) are examined. The groundwater drought study includes more than 26,000 wells in about 600 meteorological stations over 20 years being surveyed daily. This study discusses the spatial interpolation of drought steady-state probabilities based on recorded SPI and GRI data at three intervals, i.e., 1994 to 2004, 2005–2015, and 1994 to 2015. The final zoning of the system results in an average increase in the steady-state constant of the SPI index in the first half of the whole study period to approximately 62%. While in the second period of study, the average percentage of the steady-state climatic drought was calculated to be 75%. The average amount of drought in the extended study area of the country was found to be up to 46%.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Broyden CG (1965) A class of methods for solving nonlinear simultaneous equations. Math Comput 19:577–593CrossRef Broyden CG (1965) A class of methods for solving nonlinear simultaneous equations. Math Comput 19:577–593CrossRef
go back to reference Bucior-Kwaczyńska A (2018) The possibility of applying the EM-PCA procedure to lake water Polish. J Environ Stud 27 Bucior-Kwaczyńska A (2018) The possibility of applying the EM-PCA procedure to lake water Polish. J Environ Stud 27
go back to reference Cazacioc L, Cipu EC (2005) Evaluation of the transition probabilities for daily precipitation time series using a Markov chain model. In: Proceedings of 3rd International Colloquium–Mathematics in Engineering and Numerical Physics. pp 82–92 Cazacioc L, Cipu EC (2005) Evaluation of the transition probabilities for daily precipitation time series using a Markov chain model. In: Proceedings of 3rd International Colloquium–Mathematics in Engineering and Numerical Physics. pp 82–92
go back to reference Ferral A, Solis V, Frery A, Orueta A, Bernasconi I, Bresciano J, Scavuzzo CM (2017) Spatio-temporal changes in water quality in an eutrophic lake with artificial aeration. J Water Land Develop 35:27–40CrossRef Ferral A, Solis V, Frery A, Orueta A, Bernasconi I, Bresciano J, Scavuzzo CM (2017) Spatio-temporal changes in water quality in an eutrophic lake with artificial aeration. J Water Land Develop 35:27–40CrossRef
go back to reference Garg VK, Singh JB (2010) Three-state Markov chain approach on the behaviour of rainfall. NY Sci J 3:76–81 Garg VK, Singh JB (2010) Three-state Markov chain approach on the behaviour of rainfall. NY Sci J 3:76–81
go back to reference Gholizad A, Ahmadi L, Hassannayebi E, Memarpour M, Shakibayifar M (2017) A system dynamics model for the analysis of the deregulation in electricity market. Int J System Dyn Appl (IJSDA) 6:1–30 Gholizad A, Ahmadi L, Hassannayebi E, Memarpour M, Shakibayifar M (2017) A system dynamics model for the analysis of the deregulation in electricity market. Int J System Dyn Appl (IJSDA) 6:1–30
go back to reference Haile GG, Tang Q, Li W, Liu X, Zhang X (2020) Drought: Progress in broadening its understanding. Wiley Interdiscip Rev Water 7:e1407CrossRef Haile GG, Tang Q, Li W, Liu X, Zhang X (2020) Drought: Progress in broadening its understanding. Wiley Interdiscip Rev Water 7:e1407CrossRef
go back to reference Hajek B (2015) Random processes for engineers. Cambridge University Press, CambridgeCrossRef Hajek B (2015) Random processes for engineers. Cambridge University Press, CambridgeCrossRef
go back to reference Jia L, Marco M, Bob S, Lu J, Massimo M (2017) Monitoring water resources and water use from earth observation in the belt and road Countries. Bull Chin Acad Sci 32:62–73 Jia L, Marco M, Bob S, Lu J, Massimo M (2017) Monitoring water resources and water use from earth observation in the belt and road Countries. Bull Chin Acad Sci 32:62–73
go back to reference Khadr M (2016) Forecasting of meteorological drought using hidden Markov model (case study: the upper Blue Nile river basin, Ethiopia). Ain Shams Eng J 7:47–56CrossRef Khadr M (2016) Forecasting of meteorological drought using hidden Markov model (case study: the upper Blue Nile river basin, Ethiopia). Ain Shams Eng J 7:47–56CrossRef
go back to reference Khoshghalb ZH, Bigdeli A, Eslami A (2010) Analysis of wet and dry periods by Markov Chain Model in southern of Caspian sea. In: Environmental engineering and applications (ICEEA), 2010 international conference on. IEEE, pp 96–99 Khoshghalb ZH, Bigdeli A, Eslami A (2010) Analysis of wet and dry periods by Markov Chain Model in southern of Caspian sea. In: Environmental engineering and applications (ICEEA), 2010 international conference on. IEEE, pp 96–99
go back to reference Khuram I, Barinova S, Ahmad N, Ullah A, Din SU, Jan S, Hamayun M (2017) Ecological assessment of water quality in the Kabul River, Pakistan, using statistical methods. Oceanol Hydrobiol Stud 46:140–153CrossRef Khuram I, Barinova S, Ahmad N, Ullah A, Din SU, Jan S, Hamayun M (2017) Ecological assessment of water quality in the Kabul River, Pakistan, using statistical methods. Oceanol Hydrobiol Stud 46:140–153CrossRef
go back to reference Klement J (2014) On using quasi-newton algorithms of the broyden class for model-to-test correlation. J Aerosp Technol Manag 6:407–414CrossRef Klement J (2014) On using quasi-newton algorithms of the broyden class for model-to-test correlation. J Aerosp Technol Manag 6:407–414CrossRef
go back to reference Lennartsson J, Baxevani A, Chen D (2008) Modelling precipitation in Sweden using multiple step Markov chains and a composite model. J Hydrol 363:42–59CrossRef Lennartsson J, Baxevani A, Chen D (2008) Modelling precipitation in Sweden using multiple step Markov chains and a composite model. J Hydrol 363:42–59CrossRef
go back to reference Malik A, Kumar A, Singh RP (2019) Application of heuristic approaches for prediction of hydrological drought using multi-scalar streamflow drought index. Water Resour Manag 33:3985–4006CrossRef Malik A, Kumar A, Singh RP (2019) Application of heuristic approaches for prediction of hydrological drought using multi-scalar streamflow drought index. Water Resour Manag 33:3985–4006CrossRef
go back to reference Moradi H, Rajabi M, Faragzadeh M (2011) Investigation of meteorological drought characteristics in Fars province. Iran Catena 84:35–46CrossRef Moradi H, Rajabi M, Faragzadeh M (2011) Investigation of meteorological drought characteristics in Fars province. Iran Catena 84:35–46CrossRef
go back to reference Motlagh MS, Ghasemieh H, Talebi A, Abdollahi K (2017) Identification and analysis of drought propagation of groundwater during past and future periods. Water Resour Manag 31:109–125CrossRef Motlagh MS, Ghasemieh H, Talebi A, Abdollahi K (2017) Identification and analysis of drought propagation of groundwater during past and future periods. Water Resour Manag 31:109–125CrossRef
go back to reference Rolim LZR, de Souza Filho FDA (2020) Shift Detection in Hydrological Regimes and Pluriannual Low-Frequency Streamflow Forecasting Using the Hidden Markov Model. Water 12:2058CrossRef Rolim LZR, de Souza Filho FDA (2020) Shift Detection in Hydrological Regimes and Pluriannual Low-Frequency Streamflow Forecasting Using the Hidden Markov Model. Water 12:2058CrossRef
go back to reference Sattar MN, Lee J-Y, Shin J-Y, Kim T-W (2019) Probabilistic characteristics of drought propagation from meteorological to hydrological drought in South Korea. Water Resour Manag 33:2439–2452CrossRef Sattar MN, Lee J-Y, Shin J-Y, Kim T-W (2019) Probabilistic characteristics of drought propagation from meteorological to hydrological drought in South Korea. Water Resour Manag 33:2439–2452CrossRef
go back to reference Selvaraj R, Selvi S (2010) Stochastic modeling of daily rainfall at aduthurai. Int J Adv Comp Mathematic Sci 1 Selvaraj R, Selvi S (2010) Stochastic modeling of daily rainfall at aduthurai. Int J Adv Comp Mathematic Sci 1
go back to reference Supreetha B, Nayak PK, Shenoy NK (2015) Groundwater level prediction using hybrid artificial neural network with genetic algorithm, Int J Earth Sci Eng. 8:2609–2615 Supreetha B, Nayak PK, Shenoy NK (2015) Groundwater level prediction using hybrid artificial neural network with genetic algorithm, Int J Earth Sci Eng. 8:2609–2615
go back to reference Tsakiris G, Pangalou D, Vangelis H (2007) Regional drought assessment based on the Reconnaissance Drought Index (RDI). Water Resour Manag 21:821–833CrossRef Tsakiris G, Pangalou D, Vangelis H (2007) Regional drought assessment based on the Reconnaissance Drought Index (RDI). Water Resour Manag 21:821–833CrossRef
go back to reference Unnikrishnan P, Jothiprakash V (2020) Hybrid SSA-ARIMA-ANN model for forecasting daily rainfall. Water Resour Manag 34:3609–3623CrossRef Unnikrishnan P, Jothiprakash V (2020) Hybrid SSA-ARIMA-ANN model for forecasting daily rainfall. Water Resour Manag 34:3609–3623CrossRef
go back to reference Vo Q-T, So J-M, Bae D-H (2020) An Integrated Framework for Extreme Drought Assessments Using the Natural Drought Index, Copula and Gi* Statistic Water Resources Management:1–16 Vo Q-T, So J-M, Bae D-H (2020) An Integrated Framework for Extreme Drought Assessments Using the Natural Drought Index, Copula and Gi* Statistic Water Resources Management:1–16
go back to reference Zohrevand Z, Glasser U, Shahir HY, Tayebi MA, Costanzo R (2016) Hidden Markov based anomaly detection for water supply systems. In: Big Data (Big Data), 2016 IEEE International Conference on. IEEE, pp 1551–1560 Zohrevand Z, Glasser U, Shahir HY, Tayebi MA, Costanzo R (2016) Hidden Markov based anomaly detection for water supply systems. In: Big Data (Big Data), 2016 IEEE International Conference on. IEEE, pp 1551–1560
Metadata
Title
Probabilistic Analysis of Long-Term Climate Drought Using Steady-State Markov Chain Approach
Authors
Saeed Azimi
Erfan Hassannayebi
Morteza Boroun
Mohammad Tahmoures
Publication date
01-10-2020
Publisher
Springer Netherlands
Published in
Water Resources Management / Issue 15/2020
Print ISSN: 0920-4741
Electronic ISSN: 1573-1650
DOI
https://doi.org/10.1007/s11269-020-02683-5

Other articles of this Issue 15/2020

Water Resources Management 15/2020 Go to the issue