A Mathematical Model to Study the Impact of Mining Activities and Pollution on Forest Resources and Wildlife Population

Jyotsna, Kumari; Tandon, Abhinav

doi:10.1142/s0218339017500115

Cited by 14 publications

(6 citation statements)

References 17 publications

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“…Where M: Health expenditure of an individual h 0 : The initial state of health of the individual B: The budget that the individual has for their expenses z: Externalities caused by mining (pollution) A: Physical and social characteristics of the individual. Jyotsna and Tandon (2017) propose a mathematical model to show the impact of pollution caused by mining on forests and wildlife.…”

Section: The Mining Sector and Co 2 Pollutionmentioning

confidence: 99%

Incidence of Energy Consumption, Mining Sector and Economic Growth on CO2 Emission Levels: Evidence from Peru

Acuña-Ascencio,

Carhuamaca-Coronel,

Mougenot

2024

IJEEP

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Environmental pollution and its harmful effects have become a growing topic of study in recent years because the exploitation of resources, rationalized by the prevailing desire for economic growth, is going to directly affect the sustainability of our existing ecosystem in the coming decades. This is considering that there are productive sectors that have a larger environmental footprint, such as the mining industry. This study focuses on establishing the relationship between the variables of energy consumption, GDP per capita, and mineral rents and their impact on the level of pollution by CO2 emissions in the period 1971–2019, using the Environmental Kuznets Curve (EKC) theory. To this end, we used statistical and econometric tools based on the ARDL dynamic model through a time series analysis starting from historical data. We concluded that the variables CEpc, PBIpc, and RM have deleterious effects as a 1% increase in these variables increases the level of environmental pollution by CO2 emissions by 0.724%, 0.136%, and 0.061%, respectively.

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Section: The Mining Sector and Co 2 Pollutionmentioning

confidence: 99%

Incidence of Energy Consumption, Mining Sector and Economic Growth on CO2 Emission Levels: Evidence from Peru

Acuña-Ascencio,

Carhuamaca-Coronel,

Mougenot

2024

IJEEP

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“…He assumed that the rate of growth of wildlife population totally depends on forestry biomass. In a similar study, Jyotsna and Tandon [9] investigated a nonlinear mathematical model to check the impact of mining activities and pollution on forest resources and wildlife populations. They applied numerical simulations and element of stability theory to analyze their model.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Analysis for the Preservation of Forestry Biomass Using the Laplace Decomposition Method

Etin-Osa¹,

Charles²

2022

PAMJ

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In this work, a numerical analysis of a mathematical model for the preservation of forestry biomass is investigated. The model is divided into three compartments as density of forest biomass, density of wood based industries and density of synthetic industries. The Laplace Decomposition Method is used to obtain approximate solutions in the form of infinite series. Numerical justification is performed on the model parameter values with the aid of Maple 18 software to obtain the results. The behavior of the results obtained, is presented graphically. From the results, it was observed that the population of forest biomass increases exponentially as we increase the competitive effect of forest biomass c 1 , on wood industries. It was also observed that the wood based industries will have no depleting effect on the forest biomass even when the competitive effect parameter of wood based industries c 2 , on forest biomass was increased, and this was likened to increase awareness on synthetics as alternatives to wood, government control policies on deforestation, and an increase in prices of timber. It was also obvious from the result that as sufficient synthetic materials are supplied to the synthetic industries, the industries explode exponentially with time, and would serve as a good alternative to wood inpreserving the forestry biomass.

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“…The formulation of mathematical models in terms of nonlinear dynamical system of differential equations is a popular tool for researchers to conduct studies of natural resource systems and their connected different population ecosystems and environment. Out of diverse natural resources, however, many nonlinear research studies concentrate on forest resources systems, where the effects of different population ecosystems and their associated activities have been investigated on forest resources using consumer–resource type interactions (Shukla & Dubey, 1997; Dubey, Upadhyay, & Hussain, 2003; Dubey, Sharma, Sinha, & Shukla, 2009; Shukla, Lata, & Misra, 2011; Misra, Lata, & Shukla, 2014; Misra & Lata, 2015; Jyotsna & Tandon, 2017a, 2017b). Shukla and Dubey (1997), in their nonlinear modeling study on the impact of population growth and its associated pollution on forest resources, found that the conservation of forest resources, along with control over excessive population growth and pollution should be properly addressed to maintain resource biomass at its required level.…”

Section: Introductionmentioning

confidence: 99%

“…They found the extinction of forest resource in the presence of unprecedented industrialization and therefore, suggested for employing control over industrialization growth to establish ecological stability. Recently, Jyotsna and Tandon (2017a and 2017b) demonstrated the behavior of forest resources along with their dependent wildlife and human populations, in the presence of perturbations caused due to mining activities. In these studies, authors qualitatively and quantitatively analyzed the forest resources based model system and obtained relevant conditions to maintain the stability of such type of systems.…”

Section: Introductionmentioning

confidence: 99%

Dynamical behavior of tribal‐forest system in the presence of development activities: Leslie–Gower‐based nonlinear modeling study

Tandon

2020

Natural Resource Modeling

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A nonlinear dynamical system is developed in the proposed study to gain insight into the tribal-forest system in the presence of unplanned development activities. Here, the system is comprised of densities of forest resources, tribal population, and development activities as dynamic variables. The realistic dynamics between the tribal population and forest resources is considered to be of modified Leslie-Gower consumerresource type. The qualitative properties of the system are obtained by establishing the equilibrium points and their stabilities. However, permanence is derived to prove the system's viability in the long run. The model is also quantitatively examined using global sensitivity and bifurcation analyses. Through these analyses, sensitivity to different parameters and their thresholds for qualitative behavioral change are determined. The mathematical analyses prove that excessive overexploitation of forest resources and uncontrollable development activities can put the system in a state of destabilization and impermanence. Recommendations for Resource Managers• A harmonious tribal-forest system can be established by devising proper schemes to check unprecedented and unplanned development activities in the tribal region. For this, development projects should be thoroughly evaluated by the government agencies, before their approval.• Measures to increase the density of forest resources should be practised to cover up the loss incurred due to their utilization in development activities. This can be achieved by increasing the forest cover with enhanced plantation in and around forests and through effective protection schemes. • Initiatives to retain and employ tribal people in forests should be adopted for the protection and expansion of forests. The extraordinary knowledge inherited in tribal people about flora and fauna of forest system can be productively utilized for the conservation of biodiversity.

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A Mathematical Model to Study the Impact of Mining Activities and Pollution on Forest Resources and Wildlife Population

Cited by 14 publications

References 17 publications

Incidence of Energy Consumption, Mining Sector and Economic Growth on CO2 Emission Levels: Evidence from Peru

Incidence of Energy Consumption, Mining Sector and Economic Growth on CO2 Emission Levels: Evidence from Peru

A Mathematical Analysis for the Preservation of Forestry Biomass Using the Laplace Decomposition Method

Dynamical behavior of tribal‐forest system in the presence of development activities: Leslie–Gower‐based nonlinear modeling study

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