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In this paper, a fuzzy mathematical model has been developed by considering forest biomass, human population and technological effort for the conservation of forest biomass as separate compartments. We have assumed that the forest biomass and human population grows logistically. We have considered that forest biomass decreases due to industrialization, food, shelter, etc., for humans. For the conservation of forest biomass, some modern technological efforts have been used in this model. Also, time delay of use of modern technological effort for the conservation of forest biomass has been considered on forest biomass. According to the assumptions, a fuzzy mathematical model on forest biomass is formulated. Next we have determined different possible equilibrium points. Also, the stability of our proposed system around these equilibrium points has been discussed. Finally, some numerical simulation results have been presented for better understanding of our proposed mathematical model.

Despite the numerous technical, logistical, and policy challenges associated with the use of bioenergy to mitigate climate change, the latest IPCC report identifies bioenergy as a high-value and large-scale mitigation option to support the transition to a cleaner energy system. This paper links a climate-economic-energy model and a land model to measure the net mitigation effect of using forest biomass for electricity generation and corresponding implications on global temperature. Through the soft-link, the energy model provides to the land model the cost-effective regional consumption of forest biomass under nine carbon price scenarios and measures the effects of its use on fossil fuel emissions and carbon sequestered in carbon capture and storage (CCS). The land model provides the dynamic supply of forest biomass and measures the change in land management/use under each demand scenario and corresponding changes in carbon sequestered in forests. Results suggest that forest biomass should be part of global mitigation efforts despite the expected small share of electricity sourced from it. The net climate benefits of forest biomass energy vary across scenarios and temporally — in most scenarios increased biomass demand results in near term reductions in global forest carbon stocks, but at carbon prices starting at $40/tCO₂e or greater, results show positive net sequestration by 2030. This increased sequestration, coupled with energy emissions displacement and bioenergy with carbon capture and storage (BECCS) implies substantial long-term mitigation potential for forest biomass energy. Our results suggest that high forest biomass demand pathways could also help reduce the magnitude of future temperature growth. Further, we explore the regional effects on energy security of using forest biomass. Results show that its use can have potential large effects on trade dynamics and regional energy security issues, with 4 of the 17 global regions found to be net exporters of forest biomass.

The quantitative estimation of forest biomass provides important reference information for global carbon storage and carbon cycle research. This study based on the four periods TM remote sensing data of 1970s, 1980s, 1990s and early 21st century and forest resources inventory sample data during the same period, with ArcGIS analyzed the forest biomass spatial distribution characteristics of Lesser Khingan Range, and acquired the forest biomass distribution law with elevation and slope change, the study results are important to maintain the ecological balance of the three northeast provinces of China. Research results shows that: in this study area with the increasing of elevation the forest biomass and distribution have a lesser proportion, the sequence of forest biomass distribution with slope change of each period from big to small is: slope class 1 > slope class 2 > slope class 3 > slope class 4 > slope class 5 = slope class 6.