Abstract
This article presents a mathematical model of salinity invasion in agricultural land adjacent to coastal shrimp farming water body. There is an expanse of coastline with fragile estuarine ecosystem in south-east Asia, where unscientific aqua-cultural activity has posed a threat to hydrological dynamics of the area. Soil salinization beyond a threshold level results in dwindling crop yield, which in turn affects the economical and ecological stability of the region. Here, a mathematical model of salt water flow from shrimp farm to adjacent farmland through porous soil is studied using partial differential equation. The analytical results are deduced which can serve as precursor for any similar model. The mathematical solution is compared with numerical simulation results. Further, the change in salinity levels due to temperature and layout change is studied and some observations based on the results are proposed. It is observed that increase in width of guard wall between pond and adjacent farmland is very effective in reducing salinity level of soil.
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References
Al-Ali ZM, Bannari A, Rhinane H et al (2021) Validation and comparison of physical models for soil salinity mapping over an arid landscape using spectral reflectance measurements and landsat-oli data. Remote Sens. https://doi.org/10.3390/rs13030494
Alqasemi AS, Ibrahim M, Al-Quraishi AMF et al (2021) Detection and modeling of soil salinity variations in arid lands using remote sensing data. Open Geosci 13(1):443–453. https://doi.org/10.1515/geo-2020-0244
Asfaw E, Suryabhagavan K, Argaw M (2018) Soil salinity modeling and mapping using remote sensing and gis: the case of wonji sugar cane irrigation farm, ethiopia. J Saudi Soc Agric Sci 17(3):250–258. https://doi.org/10.1016/j.jssas.2016.05.003
Biswas G, Kumar P (2015) Training manual on sustainable brackishwater aquaculture practices. Central Institute of Brackishwater Aquaculture(Indian Council of Agricultural Research), https://krishi.icar.gov.in/jspui/handle/123456789/11064
Bresler E, McNeal B, Carter D (1982) Saline and sodic soils (principles - dynamics - modeling). Springer, Berlin
Clarke D, Williams S, Jahiruddin M et al (2015) Projections of on-farm salinity in coastal Bangladesh. Environ Sci: Process Impact 17:1127–1136. https://doi.org/10.1039/C4EM00682H
Comte JC, Wilson C, Ofterdinger U et al (2017) Effect of volcanic dykes on coastal groundwater flow and saltwater intrusion: a field-scale multiphysics approach and parameter evaluation. Water Resour Res 53(3):2171–2198. https://doi.org/10.1002/2016WR019480
Das P, Das A, Roy S (2016) Shrimp fry (meen) farmers of Sundarban mangrove forest (India): a tale of ecological damage and economic hardship. Int J Agric Food Res. https://www.sciencetarget.com/Journal/index.php/IJAFR/article/view/683
Das P, Das S, Das P et al (2021a) Optimal control strategy for cancer remission using combinatorial therapy: a mathematical model-based approach. Chaos Solit Fract 145(110):789. https://doi.org/10.1016/j.chaos.2021.110789
Das S, Das P, Das P (2021b) Chemical and biological control of parasite-borne disease Schistosomiasis: an impulsive optimal control approach. Nonlinear Dyn 104(1):603–628. https://doi.org/10.1007/s11071-021-06262-0
Das S, Das P, Das P (2021c) Optimal control of behaviour and treatment in a nonautonomous SIR model. Int J Dyn Syst Differ Equ 11(2):108–130. https://doi.org/10.1504/IJDSDE.2021.115178
Gurung TR, Azad AK (2013) Best practices and procedures of saline soil reclamation systems in SAARC countries. SAARC Agric Centre. http://www.sac.org.bd/archives/publications/Saline%20Soil%20Reclamation.pdf
Habibi V, Ahmadi H, Jafari M et al (2021) Quantitative assessment of soil salinity using remote sensing data based on the artificial neural network, case study: Sharif Abad Plain, Central Iran. Model Earth Syst Environ 7(2):1373–1383. https://doi.org/10.1007/s40808-020-01015-1
Hassani A, Azapagic A, Shokri N (2020) Predicting long-term dynamics of soil salinity and sodicity on a global scale. Proc Natl Acad Sci 117(52):33,017–33,027. https://doi.org/10.1073/pnas.2013771117
Hoq ME (2007) An analysis of fisheries exploitation and management practices in Sundarbans mangrove ecosystem. Bangladesh. Ocean Coast Manag 50(5):411–427. https://doi.org/10.1016/j.ocecoaman.2006.11.001
Hossain MS, Uddin MJ, Fakhruddin ANM (2013) Impacts of shrimp farming on the coastal environment of Bangladesh and approach for management. Rev Environ Sci Bio/Technol 12(3):313–332. https://doi.org/10.1007/s11157-013-9311-5
Kabir M, Iva I (2014) Ecological consequences of shrimp farming in Southwestern Satkhira district of Bangladesh. Aust J Earth Sci 1(1):7
Li H, Yi J, Zhang J et al (2015) Modeling of soil water and salt dynamics and its effects on root water uptake in Heihe Arid Wetland, Gansu. China. Water 7(5):2382–2401. https://doi.org/10.3390/w7052382
Mandal UK, Burman D, Bhardwaj A et al (2019) Waterlogging and coastal salinity management through land shaping and cropping intensification in climatically vulnerable Indian Sundarbans. Agric Water Manag 216:12–26. https://doi.org/10.1016/j.agwat.2019.01.012
Marinov I, Marinov AM (2014) A coupled mathematical model to predict the influence of nitrogen fertilization on crop, soil and groundwater quality. Water Resour Manag 28(15):5231–5246. https://doi.org/10.1007/s11269-014-0664-5
Marusic G (2013) A study on the mathematical modeling of water quality in “river-type’’ aquatic systems. WSEAS Trans Fluid Mech 8:80–89
Morshed MM, Islam MS, Lohano HD et al (2020) Production externalities of shrimp aquaculture on paddy farming in coastal Bangladesh. Agric Water Manag 238(106):213. https://doi.org/10.1016/j.agwat.2020.106213
Patle GT, Singh DK, Sarangi A et al (2017) Modelling of groundwater recharge potential from irrigated paddy field under changing climate. Paddy Water Environ 15(2):413–423. https://doi.org/10.1007/s10333-016-0559-6
Pochai N, Pongnoo N (2012) A numerical treatment of a mathematical model of ground water flow in rice field near marine shrimp aquaculture farm. Proc Eng 32:1191–1197. https://doi.org/10.1016/j.proeng.2012.02.076
Rabbani G, Rahman AA, Mainuddin K (2013) Salinity-induced loss and damage to farming households in coastal Bangladesh. Int J Glob Warm 5:400–415. https://doi.org/10.1504/IJGW.2013.057284
Richardson J, Bergsteinsson P, Getz R et al (1965) Sea water mass diffusion coefficient studies. Aeronautic Division, Philco Corporation, Applied Research Laboratories
Singh AK, Arora S, Singh YP et al (2018) Water use in rice crop through different methods of irrigation in a sodic soil. Paddy Water Environ 16(3):587–593. https://doi.org/10.1007/s10333-018-0650-2
Strauss W (2007) Partial differential equations: an introduction. Wiley, Amsterdam
Tre B, Vinh T, Giang K (2016) The drought and salinity intrusion in the Mekong River Delta of Vietnam: Assessment report. https://cgspace.cgiar.org/handle/10568/75633
Vargas R, Pankova EI, Balyuk SA, et al (2018) Handbook for saline soil management, vol 57. Food and Agriculture Organization of the United Nations and Lomonosov Moscow State University, http://www.fao.org/3/i7318en/I7318EN.pdf
Wahid SM, Babel MS, Bhuiyan AR (2007) Hydrologic monitoring and analysis in the Sundarbans mangrove ecosystem, Bangladesh. J Hydrol 332(3):381–395. https://doi.org/10.1016/j.jhydrol.2006.07.016
Yeh TC, Khaleel R, Carroll KC (2015) Darcy’s Law for Saturated Porous Media, Cambridge University Press, pp 32–68. https://doi.org/10.1017/CBO9781139879323.003
Yusuf BL, Mustapha A, Yusuf MA et al (2020) Soil salinity assessment using geostatistical models in some parts of Kano river irrigation project Phase I (KRPI). Model Earth Syst Environ 6(4):2225–2234. https://doi.org/10.1007/s40808-020-00841-7
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Conceptualization: SD, PD; Methodology: SD; Formal analysis and investigation: SD; Writing—original draft preparation: SD; Writing—review and editing: SD, PD; Supervision: PD.
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Das, S., Das, P. Coastal shrimp aquaculture and agriculture: a mathematical model on soil salinity. Model. Earth Syst. Environ. 8, 3293–3304 (2022). https://doi.org/10.1007/s40808-021-01297-z
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DOI: https://doi.org/10.1007/s40808-021-01297-z