Modelling the depletion of forestry resources by population and population pressure augmented industrialization

Dubey, B.; Sharma, Shalini; Sinha, Prawal; Shukla, J.B.

doi:10.1016/j.apm.2008.10.028

Cited by 67 publications

(37 citation statements)

References 13 publications

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“…Population pressure is caused due to excessive increase in population density, and so, its growth rate is supposed to be proportional to population density (Dubey et al 2009). In addition to regular mining activities required for power, energy, infrastructure etc., more of them could also be needed in order to fulfill the demands arising from population pressure.…”

Section: Mathematical Modelmentioning

confidence: 99%

A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources

Tandon

Jyotsna

Dey

2017

Environ Dev Sustain

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Here, we develop a mathematical model which investigates the impact of growing population and rampant mining on forest resources, present in an urban region. In order to demonstrate the effect imposed by the overgrowing population on the environment, population pressure is incorporated in the model, which augments mining activities in the given region. The obtained model is studied qualitatively using stability theory of differential equations, while it is quantitatively analyzed through numerical simulation. The results of the model reveal that a whopping increase in unchecked mining activities, induced through excessive population growth, leads to declination of forest resources in a region. Therefore, sustainable mining is suggested through control measures imposed by the government on mining activities.

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Section: Mathematical Modelmentioning

confidence: 99%

A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources

Tandon

Jyotsna

Dey

2017

Environ Dev Sustain

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“…As the climate changes driven by the enhanced concentration of atmospheric CO 2 have adverse effects on the human life, we assume that the human population decreases due to increase in the concentration of CO 2 . Since the human population clear forests for their needs and this deforestation facilitates the population growth (Shukla and Dubey 1997;Hartwick 2005;Dubey et al 2009;Shukla et al 2011;Misra and Lata 2013), it is assumed that the forest biomass decreases due to increase in human population whereas the growth rate of human population increases due to increase in forest biomass. The implementation rate of technological options is assumed to be proportional to the emission rate of CO 2 from human activities.…”

Section: Mathematical Modelmentioning

confidence: 99%

Optimal control of anthropogenic carbon dioxide emissions through technological options: a modeling study

Verma

Misra

2016

Comp. Appl. Math.

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The anthropogenic emission of carbon dioxide (CO 2 ) is the prime culprit for the menace of global warming. To achieve the goal of mitigation of global warming, it is crucial to curb the anthropogenic carbon dioxide emissions. The prime anthropogenic source of CO 2 is fossil fuel burning. In this paper, we propose a nonlinear mathematical model to study the impact of technological options, used for the reduction of CO 2 emissions from fossil fuel burning and industrial processes, on the control of atmospheric CO 2 . In the modeling process, it is assumed that the technological options are implemented to curb the CO 2 emissions from the source at a rate proportional to the anthropogenic CO 2 emissions. Model analysis reveals that the atmospheric level of CO 2 can be effectively reduced by increasing the implementation rate of technological options and their efficiency. The strategies which optimally reduce atmospheric CO 2 levels while minimizing the cost associated with the implementation of technological options are identified using optimal control theory. Numerical simulation has been carried out to illustrate theoretical results.

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“…Penelitian pertama Dubey dkk mempelajari masalah efek industrialisasi dan populasi terhadap hutan [2]. Pada tahun 2010, Dubey dan Narayana mengemukakan model matematika mengenai pengaruh industrialisasi, populasi, dan polusi terhadap pengurangan sumber daya terbaharui [3].…”

Section: Pendahuluanunclassified

Analisis Kestabilan Model Penurunan Sumber Daya Hutan Akibat Industri

Anggriani

Nurhayati

Subchan³

2018

LIMITS

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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

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Modelling the depletion of forestry resources by population and population pressure augmented industrialization

Cited by 67 publications

References 13 publications

A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources

A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources

Optimal control of anthropogenic carbon dioxide emissions through technological options: a modeling study

Analisis Kestabilan Model Penurunan Sumber Daya Hutan Akibat Industri

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