Analisis Kestabilan Model Penurunan Sumber Daya Hutan Akibat Industri

Abstract

AbstrakPertumbuhan populasi penduduk karena perkembangan industri di Indonesia memberikan dampak negatif terhadap sumber daya hutan. Pada penelitian ini bertujuan untuk menganalisis kerusakan hutan dengan adanya pengaruh laju pertumbuhan penduduk karena faktor migrasi penduduk. Permasalahan tersebut kemudian diformulasikan ke dalam bentuk model matematika dan dianalisis kestabilan sistemnya. Persamaan model matematika ini merupakan sistem persamaan diferensial nonlinier. Kestabilan sistem diperoleh dengan menganut kriteria Routh-Hurwitz. Selanjutnya, dari titik kesetimbangan yang diperoleh dilakukan simulasi numerik. Pada hasil numerik menunjukkan terjadinya peningkatan kesetimbangan dari populasi penduduk dan industrialisasi yang mengakibatkan tingkat kesetimbangan biomassa hutan mengalami penurunan. Populasi memiliki dampak besar terhadap ekologi stabilitas sehingga dilakukan pengendalian terhadap pertumbuhan populasi atau untuk melindungi sumber daya hutan dari kepunahan. Katakunci: Analisis Kestabilan, Sumber Daya Hutan, Industri Abstract Population growth due to industrial development in Indonesia has a negative impact on forest resources. In this study aims to analyze the damage to the forest with the influence of population growth due to migration. The problem was then formulated into a mathematical model and analyzed the stability of the system. The equation of this mathematical model is

Mathematical Modelling of Deforestation Due to Population Density and Industrialization

“…The model is expressed in a non-linear differential equation, which fulfils the initial conditions of each positive variable where x(0) ≥ 0, y(0) ≥ 0, and z(0) ≥ 0 (Anggriani et al, 2018).…”

“…The next study (Misra et al, 2014;Ramdhani et al, 2015) examines the density of industrialization and the addition of controls on industrial density, so that preventive measures are needed on industrial growth through policies or regulations from the government regarding the existence of the industry. Referring to this study (Anggriani et al, 2018) conducted model reconstruction by considering migration factors as population growth which is formulated into a mathematical model and analysed for system stability.…”

“…This simulation aims to identify things that might happen to system dynamics and system changes. For this reason, giving the parameter values used in model ( 1) is done by modifying the parameter values in (Dubey and Narayanan, 2010;Anggriani et al, 2018), namely K = 40; r = 24; q = 0.5; α = 1.2; β = 1.5; s = 11; L = 50; p = 10; σ = 0.01; ϑ = 0.02; b = 0.01; δ = 1.5; and = 0.5. This parameter is used to determine the equilibrium point of the model (1).…”

“…Indonesia is one of the countries in the world with the largest area of natural forest in the world. The wealth of forest resources causes people to depend on forest resources, such as collecting various types of forest resources to meet their daily needs without destroying them (Agarwal and Pathak, 2015;Anggriani et al, 2018). The population density in recent years has increased.…”

The Impact of Social Forestry on Communities and Forest Areas Salimbutan Lubuk Alung

“…Indonesia is one of the countries that has the largest area of natural forest in the world and is often referred to as one of the world's lungs which contributes oxygen for the survival of living things (Shafitri et al, 2018). According to the Director General of Forestry Planning and Environmental Management of the Ministry of Environment and Forestry, Indonesia's forest area will cover 125,795,306 Ha in 2022 and is equivalent to 49.1% of the land area in Indonesia, this causes people to depend on forests for their livelihoods to meet their living needs (Anggriani et al, 2018).…”