PENERAPAN POLINOMIAL ORDE-N DAN MALTHUSIAN PADA STUDI KASUS KAJIAN DAYA TAMPUNG WISATAWAN

Penulis

  • Mario Nikolaus Dalengkade Program Studi Matematika, Fakultas Ilmu Alam dan Teknologi Rekayasa, Universitas Halmahera, Jl. Wari Raya, Tobelo, Halmahera Utara 97762
  • Masitah Yusniar Program Studi Fisika, Fakultas Ilmu Alam dan Teknologi Rekayasa, Universitas Halmahera, Jl. Wari Raya, Tobelo, Halmahera Utara 97762
  • Willyam Tjape Program Studi Matematika, Fakultas Ilmu Alam dan Teknologi Rekayasa, Universitas Halmahera, Jl. Wari Raya, Tobelo, Halmahera Utara 97762
  • Fiktor Imanuel Boleu Program Studi Kehutanan, Fakultas Ilmu Alam dan Teknologi Rekayasa, Universitas Halmahera, Jl. Wari Raya, Tobelo, Halmahera Utara 97762
  • Oktosea Buka Program Studi Fisika, Fakultas Ilmu Alam dan Teknologi Rekayasa, Universitas Halmahera, Jl. Wari Raya, Tobelo, Halmahera Utara 97762

DOI:

https://doi.org/10.23887/jstundiksha.v10i2.38969

Kata Kunci:

fungsi, wisatawan, daya dukung

Abstrak

Terletak di kawasan timur Indonesia, Tobelo Kabupaten Halmahera Utara terkenal dengan keindahan alamnya. Mamuya adalah destinasi wisata pemandian air panas yang memiliki keindahan alam. Pemandian air panas ini selalu ramai dikunjungi wisatawan lokal. Tapi pada faktanya destinasi mamuya belum dikelola berdasarkan ekologi. Luaran analisis menunjukan y=-0.179x^6+7.086x^5-109.0x^4+824.1x^3-3176x^2-5756x-2832 dengan R2 = 0.793. Fungsi tersebut merepresentasikan kunjungan wisatawan, setiap bilangan yang bernilai positif mengindikasikan penambahan wisatawan. Sedangkan bilangan negatif merupakan kebalikan dari positif. Analisis daya dukung destinasi mamuya yakni 606.25 wisatawan per tahun sedangkan populasi maksimum kunjungan menyentuh angka 737.15 wisatawan per tahun. Data ini mengindikasikan terjadinya kelebihan kapasitas di kawasan wisata.

Referensi

Armono, H. D., Rosyid, D. M., & Nuzula, N. I. (2017). Carrying Capacity Model Applied to Coastal Ecotourism of Baluran National Park, Indonesia. IOP Conference Series: Earth and Environmental Science, 79(1), 012004.

Arrow, K., Bolin, B., Costanza, R., Dasgupta, P., Folke, C., Holling, C. S., Jansson, B.-O., Levin, S., Mäler, K.-G., Perrings, C., & Pimentel, D. (1995). Economic Growth, Carrying Capacity, and the Environment. Ecological Economics, 15(2), 91–95.

Ayuni, D., & Priyana, E. B. (2019). Analysis of Mount Rinjani National Park’s Carrying Capacity Using Sustainable Tourism Management Model. International Journal of Scientific and Technology Research, 8(12), 3951–3957.

Bacaër, N. (2011). A Short History of Mathematical Population Dynamics. Springer London.

Baldigara, T., & Koic, M. (2015). Modelling the International Tourism Demand in Croatia Using a Polynomial Regression Analysis. Turisticko Poslovanje, 15(15), 29–38.

Barros, A., Monz, C., & Pickering, C. (2015). Is Tourism Damaging Ecosystems in the Andes? Current Knowledge and an Agenda for Future Research. AMBIO, 44(2), 82–98.

Braithwaite, J. E., Meeuwig, J. J., & Jenner, K. C. S. (2012). Estimating Cetacean Carrying Capacity Based on Spacing Behaviour. PLoS ONE, 7(12), e51347.

Brauer, F., & Castillo-Chavez, C. (2012). Mathematical Models in Population Biology and Epidemiology. In The American Mathematical Monthly (Vol. 40, Issue 3). Springer New York.

Brown, J. H., Gillooly, J. F., Allen, A. P., Savage, V. M., & West, G. B. (2004). Toward A Metabolic Theory of Ecology. Ecology, 85(7), 1771–1789.

Carbone, C., & Gittleman, J. L. (2002). A Common Rule for the Scaling of Carnivore Density. Science, 295(5563), 2273–2276.

Cash, G. G. (2000). The Permanental Polynomial. Journal of Chemical Information and Computer Sciences, 40(5), 1203–1206.

Castellani, V., Sala, S., & Pitea, D. (2007). A New Method for Tourism Carrying Capacity Assessment. Ecosytems and Sustainable Development VI, I, 365–374.

da Silva, C. P. (2002). Beach Carrying Capacity Assessment: How important is it? Journal of Coastal Research, 36, 190–197.

Dalengkade, M. N. (2019). Pemodelan Reaksi Suhu Udara Terhadap Penyinaran Cahaya Matahari dalam Hutan Bakau. BAREKENG: Jurnal Ilmu Matematika Dan Terapan, 13(2), 061–068.

Dalengkade, M. N. (2020a). Profil 24 Jam Kuat Penerangan, Suhu Udara, Kelembaban Udara Di Luar dan Di Dalam Hutan Mangrove. BAREKENG: Jurnal Ilmu Matematika Dan Terapan, 14(1), 047–058.

Dalengkade, M. N. (2020b). Fluktuasi Temporal Kelembaban Udara Di Dalam Dan Luar Ekosistem Mangrove. BAREKENG: Jurnal Ilmu Matematika Dan Terapan, 14(2), 159–166.

Damuth, J. (1981). Population Density and Body Size in Mammals. Nature, 290(5808), 699–700.

Dawed, M. Y., Koya, P. R., & Goshu, A. T. (2014). Mathematical Modelling of Population Growth: The Case of Logistic and Von Bertalanffy Models. Open Journal of Modelling and Simulation, 02(04), 113–126.

Deka, G., & Pachuau, R. (2019). Carrying Capacity Analysis in Mizoram Tourism. Senhri Journal of Multidisciplinary Studies, 4(1), 30–37.

Del Monte-Luna, P., Brook, B. W., Zetina-Rejón, M. J., & Cruz-Escalona, V. H. (2004). The Carrying Capacity of Ecosystems. Global Ecology and Biogeography, 13(6), 485–495.

Demenchuk, A. K., & Makarov, E. K. (2009). Explicit Polynomial Formulas for Solutions of the Matrix Equation AX−XA=C. Journal of Mathematical Physics, 50(8), 083508.

Doust, R. M. H., & Saraj, M. (2015). The Logistic Modeling Population: Having Harvesting Factor. Yugoslav Journal of Operations Research, 25(1), 107–115.

Garside, G. R., Jarat, P., & Mack. C. (1968). A New Method for Solving Polynomial Equations. The Computer Journal, 11(1), 87–90.

Getz, D., & Page, S. J. (2016). Progress and Prospects for Event Tourism Research. Tourism Management, 52, 593–631.

Gurtner, Y. (2016). Returning to Paradise: Investigating Issues of Tourism Crisis and Disaster Recovery on the Island of Bali. Journal of Hospitality and Tourism Management, 28, 11–19.

Kantorovich, L. (2016). Mathematics for Natural Scientists. Springer New York.

Kostopoulou, S., & Kyritsis, I. (2006). A Tourism Carrying Capacity Indicator for Protected Areas. Anatolia, 17(1), 5–24.

Lgbozurike, U. M. (1981). The Concept of Carrying Capacity. Journal of Geography, 80(4), 141–149.

Marshall, C. R., & Quental, T. B. (2016). The Uncertain Role of Diversity Dependence in Species Diversification and the Need to Incorporate Time-Varying Carrying Capacities. Philosophical Transactions of the Royal Society B: Biological Sciences, 371(1691), 20150217.

May, R., & Mclean, A. (2007). Theoretical Ecology (R. May & A. R. McLean (Eds.); Third Edit). Oxford University Press.

McCool, S. F., & Lime, D. W. (2001). Tourism Carrying Capacity: Tempting Fantasy or Useful Reality? Journal of Sustainable Tourism, 9(5), 372–388.

Nghi, T., Lan, N. T., Thai, N. D., Mai, D., & Thanh, X. (2007). Tourism Carrying Capacity assessment for Phong Nha - Ke Bang and Dong Hoi, Quang Binh Province. VNU Journal of Science Earth Sciences, 23, 80–87.

Peng, B., Wang, Y., Elahi, E., & Wei, G. (2018). Evaluation and Prediction of the Ecological Footprint and Ecological Carrying Capacity for Yangtze River Urban Agglomeration Based on the Grey Model. International Journal of Environmental Research and Public Health, 15(11), 2543.

Shaofeng, C. (2004). Carrying Capacity: An Overview. Chinese Journal of Population Resources and Environment, 2(1), 35–40.

Sharma, R. (2016). Evaluating Total Carrying Capacity of Tourism Using Impact Indicators. Global Journal of Environmental Science and Management, 2(2), 187–196.

Silva, A. A. da, Silva e Meirelles, D., & Porto, E. C. (2015). Development Cycle and Carrying Capacity. Management Research: The Journal of the Iberoamerican Academy of Management, 13(3), 285–314.

Simón, F. J. G., Narangajavana, Y., & Marqués, D. P. (2004). Carrying Capacity in the Tourism Industry: A Case Study of Hengistbury Head. Tourism Management, 25(2), 275–283.

Wang, Y., Peng, B., Wei, G., & Elahi, E. (2019). Comprehensive Evaluation and Spatial Difference Analysis of Regional Ecological Carrying Capacity: A Case Study of the Yangtze River Urban Agglomeration. International Journal of Environmental Research and Public Health, 16(18), 3499.

White, R. S. A., Wintle, B. A., McHugh, P. A., Booker, D. J., & McIntosh, A. R. (2017). The Scaling of Population Persistence with Carrying Capacity Does Not Asymptote in Populations of A Fish Experiencing Extreme Climate Variability. Proceedings of the Royal Society B: Biological Sciences, 284(1856), 20170826.

Ye, F., Park, J., Wang, F., & Hu, X. (2020). Analysis of Early Warning Spatial and Temporal Differences of Tourism Carrying Capacity in China’s Island Cities. Sustainability, 12(4), 1328.

Zacarias, D. A., Williams, A. T., & Newton, A. (2011). Recreation Carrying Capacity Estimations to Support Beach Management at Praia de Faro, Portugal. Applied Geography, 31(3), 1075–1081.

Zhiming, F., Tong, S., Yanzhao, Y., & Huimin, Y. (2018). The Progress of Resources and Environment Carrying Capacity: from Single-factor Carrying Capacity Research to Comprehensive Research. Journal of Resources and Ecology, 9(2), 125–134.

Zhou, X.-Y., Zheng, B., & Khu, S.-T. (2019). Validation of the Hypothesis on Carrying Capacity Limits Using the Water Environment Carrying Capacity. Science of The Total Environment, 665, 774–784.

Ziaabadi, M., Malakootian, M., Zare Mehrjerdi, M. R., Jalaee, S. A., & Mehrabi Boshrabadi, H. (2017). How to use composite indicator and linear programming model for determine sustainable tourism. Journal of Environmental Health Science and Engineering, 15(1), 9.

Unduhan

Diterbitkan

2021-11-03

Cara Mengutip

Dalengkade, M. N., Yusniar, M., Tjape, W., Boleu, F. I., & Buka, O. (2021). PENERAPAN POLINOMIAL ORDE-N DAN MALTHUSIAN PADA STUDI KASUS KAJIAN DAYA TAMPUNG WISATAWAN. JST (Jurnal Sains Dan Teknologi), 10(2), 220–229. https://doi.org/10.23887/jstundiksha.v10i2.38969

Terbitan

Vol 10 No 2 (2021)

Bagian

Articles

Lisensi

Authors who publish with the Jurnal Sains dan Teknologi (JST)   agree to the following terms:

  1. Authors retain copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. 
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work. (See The Effect of Open Access)