ASSESSMENT OF DRY AND WET SPELLS FOR CHANGE IN RAINFALL PATTERN OF THE INDIAN CHHATTISGARH WATERSHED USING THE MARKOV CHAIN APPROACH
Abstract
This study uses a Markov chain technique to predict rainfall patterns in the Indian Chhattisgarh watershed, where rainfall is crucial for agriculture and water resource management. By analyzing historical rainfall data from 1986 to 2021, the study builds a Markov chain model that captures the transition probabilities between different rainfall districts, enabling the prediction of future patterns. The research reveals significant variability in rainfall patterns across the region, emphasizing the unpredictability of rainfall. Notably, the likelihood of a wet day decreases, while the probability of a dry day increases, reaching 60% across all districts. The probability of a dry day consistently exceeds 60% in the crop-growing season, while the chance of a wet day ranges from 30% to 50%. The model also highlights that wet days are more likely to occur after dry days, and vice versa. This Markov chain approach provides a robust framework for understanding and forecasting rainfall patterns. Therefore, stakeholders such as policymakers, farmers, and water resource managers should be empowered to develop proactive drought and flood mitigation strategies.
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ABDI I., MEDDI M. (2015). Rainfall-runoff modeling distributed in two watersheds in eastern Algeria, Larhyss Journal, No 23, pp. 7-22. (In French)
ADJA M.G., ASSANDE A.A., DJEMIN E.J., SORO S.I., JOURDA J.P. (2021). Contribution of a GIS to mapping and spatial-temporal characterization of rainfall variability: case of the northern part of Ivory Coast, Larhyss Journal, No 47, pp. 119-132.
ADMASU W., TADESSE K., YEMENU F. (2014). Markov chain analysis of dry, wet weeks and statistical analysis of weekly rainfall for agricultural planning at Dhera, Central Rift Valley Region of Ethiopia, African Journal of Agricultural Research, Vol. 9, Issue 29, pp. 2205-2213. https://doi.org/10.5897/AJAR2014.8664
AMITOUCHE M., LEFKIR A., REMINI B., MERADJI H., MOKHTARI O. (2017). Chemical discharge on the marine environment from desalination plants in Algeria, Larhyss Journal, No 32, pp. 199-211. (In French)
AROUA N. (2020). Flood risk reduction strategy in Algiers a brief modern history (XVIthC -XIXthC), Larhyss Journal, No 43, pp. 73-89.
AROUA N. (2022). Long term city development versus water strategy in Al-Maghreb, Larhyss Journal, No 50, pp. 173-197.
ASSEMIAN A.E., DJE BI DOUTIN S., SAMAKÉ Y. (2021). Consequences of the effects of climate change on water resources in a humic tropical zone of central eastern Côte d’Ivoire, Larhyss Journal, No 45, pp. 95-105.
ATALLAH M., DJELLOULI F., HAZZEB A. (2024). Rainfall-runoff modeling using the HEC-HMS model for the Mekerra wadi watershed (N-W Algeria), Larhyss Journal, No 57, pp. 187-208.
AZHARUDDIN M., VERMA S., VERMA M.K. (2022). A synoptic-scale assessment of flood events and ENSO-streamflow variability in Sheonath River Basin, India. In Advanced Modelling and Innovations in Water Resources Engineering: Select Proceedings of AMIWRE 2021, Vol. 176, Issue 1, pp. 93-104. Springer Singapore, https://doi.org/10.1007/978-981-16-4629-4_8
BARRON J., ROCKSTRÖM J., GICHUKI F. (2003). Dry spell analysis and maize yields for two semi-arid locations in East Africa, Agricultural and Forest Meteorology, Vol. 117, Issue 1-2, pp. 23-37. https://doi.org/10.1016/S0168-1923(03)00037-6
BELKACEM Y., BENFARES R., ADEM A., HOUMA BACHARI F. (2017). Evaluation of the impact of the desalination plant on the marine environment: case study in Algeria, Larhyss Journal, No 30, pp. 317-331.
BEMMOUSSAT A., ADJIM M., BENSAOULA F (2017). Use of the ZYGOS model for the estimation of groundwater recharge in Sikkak watershed (Northen west of Algeria), Larhyss Journal, No 30, pp. 105-119. (In French)
BENKACI T., MEZENNER N., DECHEMI N. (2020). Exploration of maximum likelihood method in extreme rainfall forecasting using four probability distributions - the case of northern Algeria, Larhyss Journal, No 43, pp. 57-72.
BEN SAID M., HAFNAOUI M.A., HACHEMI A., MADI M., BENMALEK A. (2024). Evaluating the effectiveness of the existing flood risk protection measures along wadi Deffa in El-Bayadh city, Algeria, Larhyss Journal, No 59, pp. 7-28.
BENSLIMANE M., BERREKSI A., BENMAMAR S., BOUACH A. (2020). Flood risk numerical simulation of Bejaia city urban zone (Algeria), Larhyss Journal, No 42, pp. 167-178.
BENZOUGAGH B., MESHRAM S.G., EL FELLAH B. (2022). Combined use of Sentinel-2 and Landsat-8 to monitor water surface area and evaluate drought risk severity using Google Earth Engine, Earth Science Informatics, Vol. 15, Issue 2, pp. 929-940. https://doi.org/10.1007/s12145-021-00761-9
BONG C.H.J., LIEW S.C., SIM J.E., TEO F.Y. (2023). Trend and statistical analysis of annual maximum daily rainfall (AMDR) for Sarawak River basin, Sarawak, Malaysia, Larhyss Journal, No 53, pp. 183-197.
BOUTEBBA K., BOUZIANE M.T., BOUAMRANE A. (2014). Decision-making aid for optimizing the management of drinking water supply networks, Larhyss Journal, No 20, pp. 279-296. (In French)
CHADEE A., NARRA M., MEHTA D., ANDREW J., AZAMATHULLA H. (2023). Impact of climate change on water resource engineering in Trinidad and Tobago, Larhyss Journal, No 55, pp. 215-229.
CHIBANE B., ALI-RAHMANI S.E. (2015). Hydrological based model to estimate groundwater recharge, real- evapotranspiration and runoff in semi-arid area, Larhyss Journal, No 23, pp. 231-242.
CHOUKRANI G., HAMIMSA A., SAIDI M.E., BABQIQI A. (2018). Diagnosis and future projection of climate change in arid zone. case of Marrakech-Safi region (Morocco), Larhyss Journal, No 36, pp. 49-63. (In French)
DAHALE S.D., PANCHAWAGH N., SINGH S.V. (1994). Persistence in rainfall occurrence over tropical south-east Asia and equatorial Pacific, Theoretical and Applied Climatology, Vol. 49, Issue 1, pp 27-39.
https://doi.org/10.1007/BF00866286
DERDOUR A., BELAM N., CHEBAB W. (2022). Traditional irrigation system and methods of water harvesting in the oasis of Sfissifa Ksour mountains – Algeria, Larhyss Journal, No 49, pp. 17-35.
DHIWAR B. K., VERMA S., PRASAD A.D. (2022). Identification of flood vulnerable area for Kharun River Basin by GIS techniques, In Advanced Modelling and Innovations in Water Resources Engineering: Select Proceedings of AMIWRE 2021, Springer Singapore, Vol. 176, Issue 1, pp. 385-408.
https://doi.org/10.1007/978-981-16-4629-4_27
DJELLOULI F., BOUANANI A., BABA-HAMED K. (2015). Hydrological characterization of the Oued Louza basin using a global rainfall-flow model, Larhyss Journal, No 23, pp. 275-286. (In French)
DOUH B., BOUJELBEN A., KHILA S., BEL HAJ MGUIDICHE A. (2013). Effect of subsurface drip irrigation system depth on soil water content distribution at different depths and different times after irrigation, Larhyss Journal, No 13, pp. 7-16.
FAYE C. (2016). Management of water resources in the local of Ndondol: study of community management of water resources and water use conflicts in Mbomboye villages (Senegal), Larhyss Journal, No 25, pp. 219-240. (In French)
FEYERHERM A. M., BARK L.D. (1967). The goodness of fit of a Markov chain model for sequences of wet and dry days, Journal of Applied Meteorology (1962-1982), Vol. 6, Issue 5, pp. 770-773. https://www.jstor.org/stable/26173497
GAALOUL N. (2015). Modeling of underground flows in unsaturated porous medium: application to artificial recharge by treated wastewater - Korba coastal water table (cap-bon, Tunisia), Larhyss Journal, No 21, pp. 181-190. (In French)
GABRIEL K.R., NEUMANN J. (1962). A Markov chain model for daily rainfall occurrence at Tel Aviv, Quarterly Journal of the Royal Meteorological Society, Vol. 88, Issue 375, pp. 90-95. https://doi.org/10.1002/qj.49708837511
GOYAL P., AGGARWAL R., GILL K. (2015). Probability distributions for long-term rainfall data in Ludhiana-A case study, MAUSAM, Vol. 66, Issue 4, pp. 815-824. https://doi.org/10.54302/mausam.v66i4.591
HAMIMED A., ZAAGANE M., OUALID A.T., TEFFAHI M., BAKHTIAR D. (2017). Monitoring daily actual evapotranspiration and surface water status over an agricultural area in western Algeria using remote sensing data, Larhyss Journal, No 29, pp. 45-59.
HOUICHI L. (2017). Appropriate formula for estimating rainfall intensity of selected duration and frequency: a case study, Larhyss Journal, No 30, pp. 67-87. (In French)
JAISWAL R.K., LOHANI A.K., GALKATE R.V. (2023). Rainfall and agro related climate extremes for water requirement in paddy grown Mahanadi basin of India, Agricultural Research, Vol. 12, Issue 1, pp. 20-31.
https://doi.org/10.1007/s40003-022-00629-4
JAYASENA H.A.H., RATHNAYAKE R.D.D.P., CHANDRASENA M.G.P.N., RANATHUNGA B.P.D.W. (2021). A classic example of urban-rural linkages through ancient Voda Ela in Sri Lanka - symbiosis of total environment on efficient water management, Larhyss Journal, No 47, pp. 59-82.
KEZZAR M., SOUAR A. (2024). The water management system in the village of Menades in Algeria between past and present, Larhyss Journal, No 57, pp. 55-79.
KINGRA P.K., GILL K.K., SINGH S. (2013). Wet and dry spell analysis for crop planning in sub-mountainous Punjab using Markov chain approach, Journal of Agricultural Physics, Vol. 13, Issue 2, pp. 193-202. https://orcid.org/signin
KOULOUGHLI C.E., TELLI A. (2023). Modern water supply management techniques and methods: a review, Larhyss Journal, No 55, pp. 7-23.
KULANDAIVELU R. (1984). Probability analysis of rainfall and evolving cropping system for Coimbatore, Mausam, Vol. 35, Issue 3, pp. 257-258.
https://doi.org/10.54302/mausam.v35i3.2036
KUMAR K.K., RAO T.V.R. (2005). Dry and wet spells at Campina Grande-PB, Revista Brasileira de Meteorologia, Vol. 20, Issue 1, pp. 71-74.
LAZRI M., AMEUR S., HADDAD B. (2007). Analysis of precipitation data using the Markovian approach, Larhyss Journal, No 6, pp. 7-20. (In French)
MAH D.Y.S., DAYANG NUR HUWAIDA A.S., TEO F.Y. (2023). Investigation of historical extreme rainfall on permeable road in a commercial centre, Larhyss Journal, No 53, pp. 165-182.
MANIKANDAN M., THIYAGARAJAN G., BHUVANESWARI J. (2016). Wet and dry spell analysis for agricultural crop planning using Markov chain probability model at Bhavanisagar, International Journal of Agricultural Science, Vol. 7, Issue 1, pp. 11-22. http://krishi.icar.gov.in/jspui/handle/123456789/10165
MANNING H.L. (1950). Confidence limits of expected monthly rainfall, The Journal of Agricultural Science, Vol. 40, Issue 1-2, pp. 169-176.
https://doi.org/10.1017/S0021859600045640
MEHTA D., ACHOUR B., PASTAGIA J., AZAMATHULLA H. VERMA S. (2023). Review of reservoir operation, Larhyss Journal, No 56, pp.193-214.
MEHTA D., PRAJAPATI K., VERMA S. KUMAR V. (2024). Analysis of water distribution network using Epanet: a case study of variav headwork Surat-India, Larhyss Journal, No 57, pp.81-100.
MEHTA D., YADAV S. (2024). Rainfall runoff modelling using HEC-HMS model: case study of Purna river basin, Larhyss Journal, No 59, pp. 101-118.
NASSA R.A.K., KOUASSI A.M., BOSSA S.J. (2021). Analysis of climate change impact on the statistical adjustment models of extreme rainfall case of Ivory Coast, Larhyss Journal, No 46, pp. 21-48.
NIANG D., YACOUBA H., DOTO C.V, KARAMBIRI H., LAHMAR R. (2015). Land degradation impact on water transfer of soil-plant-atmosphere continuum in the Burkinabe Sahel, Larhyss Journal, No 24, pp. 109-127.
NICHANE M., KHELIL M.A. (2015). Climate change and water resources in Algeria - vulnerability, impact and adaptation strategy, Larhyss Journal, No 21, pp. 25-33. (In French)
OGA Y.M.S., ADJA M., YAPI A.F., KPAN J.G., BAKA D. (2016). Projection of climate variability by 2050 in the coastal area in the southeast of ivory coast (Abidjan in Aboisso), Larhyss Journal, No 25, pp. 67-81. (In French)
OUATTARA D., DIAWARA H., SOUMAORO L., KONE A.B., GAIDUKOVA E.V. (2022). Realization of a layout and management plan for the Sadiola bottomland in the Koutiala cercle in southern Mali, Larhyss Journal, No 52, pp. 61-76.
PANDEY P., MISHRA R., CHAUHAN R.K. (2022). Future prospects in the implementation of a real-time smart water supply management and water quality monitoring system, Larhyss Journal, No 51, pp. 237-252.
PATEL P., MEHTA D.J., SHARMA N.D. (2023a). A GIS-based DRASTIC Model for Assessing Groundwater Quality Vulnerability: Case Study of Surat and its Surroundings, Journal of the Geological Society of India, Vol. 99, Issue 4, pp. 578-582. https://doi.org/10.1007/s12594-023-2347-4
PATEL P., MEHTA D., SHARMA N. (2023c). Assessment of groundwater vulnerability using the GIS approach-based GOD method in Surat district of Gujarat state, India, Water Practice & Technology, Vol. 18, Issue 2, pp. 285-294.
https://doi.org/10.2166/wpt.2023.004
PATEL S., MEHTA D. (2023b). Statistical analysis of climate change over Hanumangarh district, Journal of Water and Climate Change, Vol. 14, Issue 6, pp. 2029-2041. https://doi.org/10.2166/wcc.2023.227
PERERA H.K.W.I., SONNADARA D.U.J., JAYEWARDENE D.R. (2002). Forecasting the occurrence of rainfall in selected weather stations in the wet and dry zones of Sri Lanka, Sri Lankan Journal of Physics, Vol. 3, Issue 1, pp. 39-52.
http://dx.doi.org/10.4038/sljp.v3i0.184
PHIEN H.N., AJIRAJAH T.J. (1984). Applications of the log Pearson type-3 distribution in hydrology, Journal of Hydrology, Vol. 73, Issue 3-4, pp. 359-372.
https://doi.org/10.1016/0022-1694(84)90008-8
PIYADASA P.M., SONNADARA D.U.J. (2010). Analysis of wet and dry behavior of weather through Markov models, Proceedings of the Technical Sessions, Institute of Physics-Sri Lanka, Vol. 26 Issue 1, pp. 25-32.
http://archive.cmb.ac.lk:8080/xmlui/handle/70130/3267
PRADHAN D., SAHU R.T., VERMA M.K. (2022). Flood inundation mapping using GIS and Hydraulic model (HEC-RAS): A case study of the BurhiGandak river, Bihar, India, In Soft Computing: Theories and Applications: Proceedings of SoCTA 2021, Vol. 425, Issue 1, pp. 135-145. https://doi.org/10.1007/978-981-19-0707-4_14
QURESHI H.U., ABBAS I., SHAH S.M.H., TEO F.Y. (2024). Hydrologic evaluation of monthly and annual groundwater recharge dynamics for a sustainable groundwater resources management in Quetta city, Pakistan, Larhyss Journal, No 60, pp. 27-53.
RAY M., BISWASI S., SAHOO K. C. (2018). A Markov chain approach for wet and dry spell and probability analysis, International Journal of Current Microbiology and Applied Sciences, Vol. 1, Issue 6, pp. 1005-1013.
REMINI B. (2010). The problem of water in Northern Algeria, Larhyss Journal, No 8, pp. 27-46. (In French)
REMINI B. (2020). Algeria: the climate is changing, the water is becoming scarce, what to do? Larhyss Journal, No 41, pp. 181-221. (In French)
REMINI B., AMITOUCHE M. (2023a). Is sustainable desalination the safe way for achieve water security? Larhyss Journal, No 54, pp. 239-267.
REMINI B., AMITOUCHE M. (2023b). Desalination plants search good quality raw water, Larhyss Journal, No 55, pp. 243-267.
RIAHI R., BELAID H., HATIRA A., BACCOUCHE S. (2020). Contribution to the study of runoff and erosion of low slope homogeneous hydrological units of a watershed of the middle valley of Medjerda (Tunisia), Larhyss Journal, No 43, pp. 119-137.
SAHU R. T., VERMA M. K., AHMAD I. (2021a). Characterization of precipitation in the subdivisions of the Mahanadi River basin, India, Acta Scientific Agriculture, Vol. 5, Issue 12, pp. 50-61. http://dx.doi.org/10.31080/ASAG.2021.05.1085
SAHU R.T., VERMA M.K., AHMAD I. (2021b). Regional frequency analysis using L-moment methodology-a review, In Recent Trends in Civil Engineering: Select Proceedings of ICRTICE 2019, Vil. 77, Issue 1, pp. 811-832.
https://doi.org/10.1007/978-981-15-5195-6_60
SAHU R.T., VERMA M.K., AHMAD I. (2022a). Interpreting different timeslot precipitation characteristics in the Seonath River basin, Chhattisgarh during 1901–2017, In Recent Advances in Sustainable Environment: Select Proceedings of RAiSE 2022, Vol. 285, Issue 1, pp. 21-37. https://doi.org/10.1007/978-981-19-5077-3_3
SAHU R.T., VERMA M.K., AHMAD I. (2022b). Segmental variability of precipitation in the Mahanadi River basin from 1901 to 2017, Geocarto International, Vol. 37, Issue 27, pp. 14877-14898. https://doi.org/10.1080/10106049.2022.2091163
SAHU R.T., VERMA M.K., AHMAD I. (2022c). Some non-uniformity patterns spread over the lower Mahanadi River Basin, India, Geocarto International, Vol. 37, Issue 25, pp. 8792-8814. https://doi.org/10.1080/10106049.2021.2005699
SAHU R.T., VERMA S., KUMAR K. (2022d). Testing some grouping methods to achieve a low error quantile estimate for high-resolution (0.25° x 0.25°) precipitation data, Journal of Physics: Conference Series, Vol. 2273, Issue 1, pp. 012-017.
https://doi.org/10.1088/1742-6596/2273/1/012017
SATPATHI A., SETIYA P., DAS, B. (2023). Comparative analysis of statistical and machine learning techniques for rice yield forecasting for Chhattisgarh, India, Sustainability, Vol. 15, Issue 3, pp. 27-86. https://doi.org/10.3390/su15032786
SIMANE B., STRUIK P.C. (1993). Agroclimatic analysis: A tool for planning sustainable durum wheat (Triticum turgidum var. durum) production in Ethiopia, Agriculture, Ecosystems & Environment, Vol. 47, Issue 1, pp. 31-46.
https://doi.org/10.1016/0167-8809(93)90134-B
SINGH K.A., SIKKA A.K., RAI S.K. (2008). Rainfall distribution pattern and crop planning at Pusa in Bihar. Journal of Agrometeorology, Vol. 10, Issue 2, pp. 198-203. https://doi.org/10.54386/jam.v10i2.1204
SMADHI D., ZELLA L., AMIROUCHE M., BACHIR H. (2021). Rainfall Trends in Semi-Arid Cereal Regions of Algeria, Al-Qadisiyah Journal for Agriculture Sciences (QJAS), Vol. 11, Issue 1, pp. 36-44.
SORO G.E., NOUFE D., GOULA BI T.A. (2018). Sensitivity analysis of a global hydrological model to the estimates of average rainfall and potential evapotranspiration: application to the Marahoue basin in Cote d'Ivoire, Larhyss Journal, No 23, pp. 115-168. (In French)
TANDEL D., VERMA S., KUMAR K. (2023). Impact assessment of wet and dry spells on agriculture productivity of Chhattisgarh, India, Journal of Environmental Informatics Letters, Vol. 10, Issue 1, pp. 10-22.
https://doi.org/10.3808/jeil.202300108
USMAN M.T., REASON C.J.C. (2004). Dry spell frequencies and their variability over southern Africa, Climate Research, Vol. 26, Issue 3, pp. 199-211.
https://doi.org/10.3354/cr026199
VERMA S.K., PRASAD A.D., VERMA M.K. (2022g). A framework for the evaluation of MRP complex precipitation in a CORDEX-SA regional climate applied to REMO, International Journal of Hydrology Science and Technology, Vol. 17, Issue 1, pp. 17-45. http://dx.doi.org/10.1504/IJHST.2022.10049165
VERMA S.K., PRASAD A.D., VERMA M.K. (2022b). An assessment of ongoing developments in water resources management incorporating SWAT model: Overview and perspectives, Nature Environment and Pollution Technology, Vol. 21, Issue 4, pp. 1963-1970. https://doi.org/10.46488/NEPT.2022.v21i04.051
VERMA S.K., PRASAD A.D., VERMA M.K. (2022f). Optimal operation of the multi-reservoir system: A comparative study of robust metaheuristic algorithms, International Journal of Hydrology Science and Technology, Vol. 17, Issue 3, pp. 239-266. http://dx.doi.org/10.1504/IJHST.2022.10052274
VERMA S.K., SAHU R.T., SINGH H. (2022d). A study of environmental and ecological impacts due to construction and operation of Tehri-Polavaram Dam, In IOP Conference Series: Earth and Environmental Science, Vol. 1032, Issue 1, pp. 012-020. https://doi.org/10.1088/1755-1315/1032/1/012020
VERMA S., KUMAR K., VERMA M.K. (2023c). Comparative analysis of CMIP5 and CMIP6 in conjunction with the hydrological processes of reservoir catchment, Chhattisgarh, India, Journal of Hydrology: Regional Studies, Vol. 50, Issue 4, pp. 101-533. https://doi.org/10.1016/j.ejrh.2023.101533
VERMA S., PRASAD A.D., VERMA M.K. (2021). Trend analysis and rainfall variability of monthly rainfall in Sheonath River Basin, Chhattisgarh, In Recent Trends in Civil Engineering: Select Proceedings of International Conference of Recent Trends in Civil Engineering (ICRTICE) 2019, June 7-9, Indore, India, Vol. 77, Issue 1, pp.777-790. https://doi.org/10.1007/978-981-15-5195-6_58
VERMA S., PRASAD A.D., VERMA M.K. (2022a). Optimizing multi-reservoir systems with the aid of genetic algorithm: Mahanadi Reservoir Project Complex, Chhattisgarh, In Applied Geography and Geoinformatics (ICGGS) for Sustainable Development: Proceedings of ICGGS 2022, Vol. 1, Issue 1, pp. 35-49, April 7-8, in Phuket, Thailand. https://doi.org/10.1007/978-3-031-16217-6_3
VERMA S., PRASAD A.D., VERMA M.K. (2022c). Time series modelling and forecasting of mean annual rainfall over MRP Complex Region, Chhattisgarh, associated with climate variability, Select Proceedings of Recent Advances in Sustainable Environment (RAiSE) 2022, Vol. 285, Issue 1, pp. 51-67. February 19-20, in Gangoh, Uttar Pradesh, India. https://doi.org/10.1007/978-981-19-5077-3_5
VERMA S., PRASAD A.D., VERMA M.K. (2022i). Trends of rainfall and temperature over Chhattisgarh during 1901–2010, In the Book “Advanced Modelling and Innovations in Water Resources Engineering (AMIWRE): Select Proceedings of AMIWRE 2021”, Vol. 176, Issue 1, pp. 3-19.
https://doi.org/10.1007/978-981-16-4629-4_1
VERMA S., SAHU I., PRASAD A.D. (2023d). Modified particle swarm optimization for the optimum use of multi-reservoir systems: MRP Complex, Chhattisgarh, Journal of Environmental Informatics Letters, Vol. 11, Issue 1, pp. 1-13.
https://doi.org/10.3808/jeil.202300111
VERMA S., SAHU R.T., PRASAD A.D. (2022). Development of an optimal operating policy of multi-reservoir systems in Mahanadi Reservoir Project Complex, Chhattisgarh, In Journal of Physics: Conference Series, Vol. 2273, Issue 1.
https://doi.org/10.1088/1742-6596/2273/1/012020
VERMA S., SAHU R., PRASAD A., VERMA M.K. (2023a). Reservoir operation optimization using ant colony optimization: A case study of Mahanadi Reservoir Project Complex, Chhattisgarh-India, Larhyss Journal, No 53, pp. 73-93.
VERMA S., VERMA M.K., PRASAD A.D. (2023b). Modeling of uncertainty in the estimation of hydrograph components in conjunction with the SUFI-2 optimization algorithm by using multiple objective functions, Modeling Earth Systems and Environment, Vol. 10, Issue 1, pp. 61-79.
https://doi.org/10.1007/s40808-023-01758-7
VICTOR U.S., SASTRY P.S.N. (1979). Dry spell probability by Markov chain model and its application to crop developmental stages, Mausam, Vol. 30, Issue 4, pp. 479-484. https://doi.org/10.54302/mausam.v30i4.3092
WILHITE D.A., GLANTZ M.H. (1985). Understanding the drought phenomenon: The role of definitions, Water International, Vol. 10, Issue 3, pp. 111-120.
https://doi.org/10.1080/02508068508686328
ZEGGANE H., GHERNAOUT R., BOUTOUTAOU D., ABDULLAH S.S., REMINI B. (2021). Multidimensional analysis of precipitation in central-northern region of Algeria, Larhyss Journal, No 47, pp. 209-231.
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