Optimum Plant Mix Selection for Urban Home Gardens: an Attempt on Genetic Algorithm and Integer Linear Programming
Keywords:
Home Gardening , Genetic Algorithm , Integer Linear Programming , Optimum plant mix , Plant diversity , Plantation areaAbstract
Home gardening is a highly deliberated topic in the current world as a consequence of social, economic, and environmental benefits. Due to the lack of mathematical applications in non-profit-based home gardens, this study is mainly focused on the social and environmental aspects of home gardening rather than focusing on the economic perspective. Therefore, this study was scrutinized in an urban city in Sri Lanka where home gardening is disparate from the economic perspective due to various reasons. In the initial stage of the research process, a novel approach to plant ranking was proposed under the concept of home gardening. The Genetic Algorithm (GA) and Integer Linear Programming (ILP) models were proposed in this study under two scenarios and implemented using both primary and secondary data. Implementation of GA was performed using MATLAB software and parameter values were determined by the trial and error method. The second scenario was accomplished through the ILP model along with sensitivity analysis using Excel Solver. Both methods provided optimum plant mix effectively and efficiently for the selected garden considering a horizontal space.
References
. D. H. Galhena, R. Freed, and K. M. Maredia, “Home gardens: a promising approach to enhance household food security and wellbeing,” Agric. Food Secur., vol. 2, no. 1, p. 8, Dec. 2013, doi: 10.1186/2048-7010-2-8.
. A. W. Drescher, R. J. Holmer, and D. L. Iaquinta, “Urban homegardens and allotment gardens for sustainable livelihoods: Management strategies and institutional environments,” in Tropical Homegardens: A Time-Tested Example of Sustainability, vol. 3, B. M. Kumar and P. K. R. Nair, Eds. Dordrecht: Springer Netherlands, 2006, pp. 317–338.
. D. K. N. . Pushpakumara, B. Marambe, G. L. L. P. Silva, J. Weerahewa, and B. V. R. Punyawardena, “A review of research on homegardens in Sri Lanka: the status, importance and future perspective,” Trop. Agric., vol. 160, pp. 55–125, 2012, [Online]. Available: https://www.researchgate.net/publication/236117466.
. M. Buddhi et al., “Vulnerability of homegarden system to climate change and its impacts on food security in South Asia,” 2011. [Online]. Available: https://www.apn-gcr.org/wp-content/uploads/2020/09/3ddf57b875774091a38f95bdfee0b6c9.pdf.
. L. G. D. S. Yapa, “Contribution of Home Gardens to Household Food Security in Sri Lanka: A Comparative Study on Wet Zone and Intermediate Zone,” J. Soc. Sci. Humanit. Rev., vol. 3, no. 3, p. 124, Sep. 2018, doi: 10.4038/jsshr.v3i3.11.
. T. T. Ranasinghe, “Manual of low/no-space agriculture -CUM-Family Business Gardens (FBG),” Resource Centres on Urban Agriculture and Food Security and International Water Management Institute, 2009.
. S. Chetty, “Studies in heuristics for the annual crop planning problem,” University of KwaZulu-Natal, South Africa, 2012.
. M. Felix, M. Judith, M. Jonathan, and S. Munashe, “Modeling a Small Farm Livelihood System using Linear Programming in Bindura, Zimbabwe,” Res. J. Manag. Sci., vol. 2, no. 5, pp. 20–23, 2013, [Online]. Available: www.isca.in.
. G. Buzuzi and A. N. Buzuzi, “A Mathematical Programming Technique to Crop Mix Problem on a Farm in Mutasa, Manicaland Province, Zimbabwe,” SSRG Int. J. Econ. Manag. Stud., vol. 5, no. 11, pp. 6–10, 2018, doi: 10.14445/23939125/ijems-v5i11p102.
. N. Patel, M. Thaker, and C. Chaudhari, “Agricultural land allocation to the major crops through linear programming model,” Int. J. Sci. Res., vol. 6, no. 4, pp. 519–522, 2017.
. J. Ward and J. Symons, “Optimising crop selection for small urban food gardens in dry climates,” Horticulturae, vol. 3, no. 2, p. 33, May 2017, doi: 10.3390/horticulturae3020033.
. O. Adekanmbi, O. Olugbara, and J. Adeyemo, “An investigation of generalized differential evolution metaheuristic for multiobjective optimal crop-mix planning decision,” Sci. World J., vol. 2014, pp. 1–8, 2014, doi: 10.1155/2014/258749.
. J. Adeyemo and F. Otieno, “Optimizing planting areas using Differential Evolution (DE) and Linear Programming (LP),” Int. J. Phys. Sci., vol. 4, no. 4, pp. 212–220, 2009.
. J. A. Adeyemo and F. A. O. Otieno, “Optimum crop planning using multi-objective differential evolution algorithm,” J. Appl. Sci., vol. 9, no. 21, pp. 3780–3791, 2009, doi: 10.3923/jas.2009.3780.3791.
. M. Glavan et al., “The economic performance of urban gardening in three European cities – examples from Ljubljana, Milan and London,” Urban For. Urban Green., vol. 36, no. October, pp. 100–122, 2018, doi: 10.1016/j.ufug.2018.10.009.
. G. A. S. Ginigaddara, Sri Lankan home gardens and household food security. Rajarata University of Sri Lanka, 2019.
. P. H. H. P. N. De Silva, G. H. J. Lanel, and M. T. M. Perera, “Integer Quadratic Programming (IQP) Model for Cut Order Plan,” IOSR J. Math., vol. 13, no. 02, pp. 76–80, Mar. 2017, doi: 10.9790/5728-1302027680.
. M. T. M. Perera and G. H. J. Lanel, “A Model to Optimize University Course Timetable Using Graph Coloring and Integer Linear Programming,” IOSR J. Math., vol. 12, no. 05, pp. 13–18, May 2016, doi: 10.9790/5728-1205031318.
. Export Development Board, “Industry Capability Report-Sri Lanakan Floriculture Sector,” 2019. [Online]. Available: https://www.srilankabusiness.com/publications/industry-capability-reports/.
. Export Development Board, “Industry Capability Report-Spice and Concentrates,” 2020. [Online]. Available: https://www.srilankabusiness.com/publications/industry-capability-reports/.
. Export Development Board, “Industry Capability Report Fresh Fruit & Vegetable,” 2019. [Online]. Available: https://www.srilankabusiness.com/publications/industry-capability-reports/.
. U. Rajapaksha, Traditional Food Plants in Sri Lanka. Hector Kobbekaduwa Agrarian Research and Training Institute, 1998.
. United States General Services Administration, Circulation: defining and planning. Washington, DC, 2012.
. M. Amberber, M. Argaw, and Z. Asfaw, “The role of homegardens for in situ conservation of plant biodiversity in Holeta Town, Oromia National Regional State, Ethiopia,” Int. J. Biodivers. Conserv., vol. 6, no. 1, pp. 8–16, 2014, doi: 10.5897/IJBC2013.0583.
. A. Hassanat, K. Almohammadi, E. Alkafaween, E. Abunawas, A. Hammouri, and V. B. S. Prasath, “Choosing mutation and crossover ratios for genetic algorithms-a review with a new dynamic approach,” Information, vol. 10, no. 12, 2019, doi: 10.3390/info10120390.
. R. Peet, “The Measurement of Species Diversity,” Annu. Rev. Ecol. Syst., vol. 5, no. 1, pp. 285–307, 1974, doi: 10.1146/annurev.es.05.110174.001441.
. R. Neelamegam, S. Roselin, A. M. A. Priyanka, and V. M. Pillai, “Diversity Indices of Home Garden Plants in Rural and Urban Areas in Kanyakumari District, Tamil Nadu, India,” Sch. Acad. J. Biosci., vol. 3, no. 9, pp. 752–761, 2015.
. R. Ponce-Hernandez, P. Koohafkan, and J. Antoine, “Assessing carbon stocks and modelling win-win scenarios of carbon sequestration through land-use changes,” Rome, 2004. [Online]. Available: https://www.fao.org/3/y5490e/y5490e.pdf.
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