Systematic Literature Review (SLR) on Annuity Modeling of Plantation Replanting Cost Reserves Based on the Cobb-Douglas Model

Rayyan Al Muddatstsir Fasa, Herlina Napitupulu, Sukono Sukono


Annuity is a financial concept that involves a series of periodic payments or receipts. In oil palm plantation management, the annuity concept is adapted to model and estimate the reserves required for replanting costs over time. The Cobb-Douglas model is a model that considers the contribution of various factors in the production process. This model can be used to estimate the income of plantations. This study discusses the Systematic Literature Review on Annuity Modeling of Plantation Replanting Cost Reserves through the application of the Cobb-Douglas Model using the Reporting Method of Choice for Systematic Review and Meta-Analysis (PRISMA) method. The study systematically collected and analyzed relevant literature from Scopus, Science Direct, Dimensions, and SAGE databases. The review followed a structured methodology that included four main stages: Identification, Screening, Eligibility, and Inclusion. Analysis was conducted on the datasets obtained at the Eligibility and Inclusion stages. Statistical techniques facilitated by the "bibliometrix" package in RStudio software were used to process the findings. In addition, the results can be accessed through the "biblioshiny ()" command, allowing easy access through a web interface for in-depth exploration. Based on the inclusion and exclusion criteria carried out in this study, it can be concluded that there is no research that discusses the topic of annuity modeling of plantation replanting cost reserves using the Cobb-Douglas model specifically. This can be further research on this topic. 


Financial Mathematics; Annuity; Cobb-Douglas; Cost Reserves; Plantations

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[1] Dym, Clive. Principles of mathematical modeling. Elsevier, 2004.

[2] Kellison, Stephen G. The Theory of Interest, Richard D. Irwin. INC., Burr Ridge,Illinois,1991.

[3] Fathi Manesh, Sirous. Comparing present and accumulated value of annuities with different interest rates. Computational Methods for Differential Equations, 7.4 (Special Issue): 621-625, 2019.

[4] Kementerian Pertanian Republik Indonesia. 2016. Peraturan kementerian pertanian Republik Indonesia Nomor 18 Tahun 2016. Jakarta.

[5] Nurfatriani, F., Ramawati, Sari, G. K., & Komarudin, H. Optimization of crude palm oil fund to support smallholder oil palm replanting in reducing deforestation in Indonesia. Sustainability, 11(18), 4914, 2019

[6] Fasa, Rayyan Al Muddatstsir, Herlina Napitupulu, and Sukono Sukono. "Analysis of Determining The Cost of Replanting for Smallholder Oil Palm Plantations Using Annuities Model with Python." International Journal of Quantitative Research and Modeling 4.4: 286-293, 2023.

[7] Fauziyah, W. N., Chaerani, D., & Napitupulu, H. Systematic Literature Review on Adjustable Robust Shortest Path Problem. CAUCHY: Jurnal Matematika Murni dan Aplikasi, 7(4), 568-584. 2023.

[8] M. Abelha, S. Fernandes, D. Mesquita, F. Seabra, and A. T. Ferreira-Oliveira,“Graduate employability and competence development in higher education-Asystematic literature review using PRISMA,” Sustain., vol. 12, no. 15, 2020.

[9] Chan, Wai-Sum and Tse, Yiu Kuen. Financial mathematics for actuaries. Singapore: World Scientific, 2017.

[10] Raharjaputra, H.S. Buku Panduan Praktis Manajemen Keuangan dan Akuntansi untuk Eksekutif Perusahaan. Jakarta: Salemba Empat, 2009.

[11] Hartono, N. ‘Pengaruh biaya produksi terhadap pendapatan ssaha perkebunan kelapa sawit (Elaeis guineensis Jacq) di Desa Bukit Raya Kecamatan Sepaku Kabupaten Penajam Paser Utara’, Jurnal EPP, 10(1), pp. 20-27, 2013.

[12] Pandiangan, A.K. Study of the Cost of Replanting Oil Palm (Elaeis guineensis Jacq) Crops with Trunk Chopping System in Unit II Afdeling Pondok Seng PT. Mopoli Raya. College of Agricultural Sciences, 2015.

[13] Gerendás, J., & Führs, H. ‘The significance of magnesium for crop quality’, Plant and Soil, 368, pp. 101-128, 2013.

[14] Debertin, D. L. Agricultural production economics: The art of production Theory (No. 1114-2016-91819), 2012.

[15] Stovold, E., Beecher, D., Foxlee, R. & Noel-Storr, A., Study flow diagrams in Cochrane systematic review updates: An adapted PRISMA flow diagram in Systematic Reviews, 2014.

[16] Panic, N., Leoncini, E., De Belvis, G., Ricciardi, W & Boccia, S., Evaluation of the endorsement of the preferred reporting items for systematic reviews and meta-analysis (PRISMA) statement on the quality of published systematic review and meta-analyses. In PLoS ONE, 2013.

[17] Rivero, T., Nuñez, L., Pires, E. & Bueno, O., ADHD rehabilitation through video gaming: A systematic review using PRISMA guidelines of the current findings and the associated risk of bias. In Frontiers in Psychiatry, 2015.

[18] Şalvarlı , S. I. & Griffiths, M., Internet Gaming Disorder and Its Associated Personality Traits: A Systematic Review Using PRISMA Guidelines. International Journal of Mental Health and Addiction, 2019.

[19] Furuya, J., Mar, S. S., Hirano, A., & Sakurai, T. Optimum insurance contract of flood damage index insurance for rice farmers in Myanmar. Paddy and Water Environment, 19(2), 319-330, 2021.

[20] Munezero, E., Adewale, C. I., Okello, D. M., & Mugonola, B. Profit efficiency analysis of red onions production in Sironko district of Uganda. Cogent Food & Agriculture, 9(1), 2222516, 2023.

[21] Josino, M. N., Moreira, J. M. M. Á. P., de Souza, Á. N., Joaquim, M. S., Simioni, F. J., & de Oliveira Gaspar, R. Financial impact of silviculture management regime flexibilization under risk conditions. Scientia Forestalis, 48(125), 2020.

[22] Kumar, P., & Singh, I. P. An Economic Analysis of Pearl Millet Crop in Rain-fed Micro Farming Situation in Zone IB of Rajasthan, India. International Journal of Environment and Climate Change, 13(11), 937-944, 2023.

[23] Poudel, U., Kattel, R. R., Gurung, B., Shrestha, S., Paudel, A., & Paudel, A. Economicanalysis of rice (Oryza sativa L.) cultivation in Gorkha district of Nepal. Archives of Agriculture and Environmental Science, 6(4), 489-497, 2021.

[24] Kumar, A. J. A. Y., Rohila, A. K., & Pal, V. K. Profitability and resource use efficiency in vegetable cultivation in Haryana: Application of Cobb-Douglas production model. Indian Journal of Agricultural Sciences, 88(7), 153-157, 2018.

[25] Bhardwaj, A., Kaur, N., Dhat, A. S., & Gill, R. I. Optimization of onion planting time and variety under Populus deltoides-based agroforestry system in North-Western India. Agroforestry Systems, 95, 533-546, 2021.

[26] Yadav, A., Ratnaparkhe, A. N., Shinde, H. R., Bhosale, A. S., Bavadekar, V. R., & Lohar, S. Economic analysis of production of Bajra in Alwar district of Rajasthan, International Journal of Current Microbiology and Applied Sciences, 2023.

[27] Biam, C. K., Okorie, A., & Nwibo, S. U. Economic efficiency of small scale soyabean farmers in Central Agricultural Zone, Nigeria: A Cobb-Douglas stochastic frontier cost function approach. Journal of Development and Agricultural Economics, 8(3), 52-58, 2016.

[28] Diop, B., Blanchard, F., & Sanz, N. Mangrove increases resiliency of the French Guiana shrimp fishery facing global warming. Ecological Modelling, 387, 27-37, 2018.

[29] SobcZAK, W., & SobcZAK, A. N. N. A. Profitability of red sweet pepper (Capsicum Annuum L.) production in field cultivation. Roczniki (Annals), 2021(1230-2022-844), 2021.



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