MATHEMATICAL ASPECTS OF THE IMPACT OF URBAN GREENHOUSE GAS EMISSIONS ON GLOBAL WARMING

Abstract

It is well known that the natural earth’s energy balance is influenced by human-induced changes of radiation balance, especially the concentrations of atmospheric greenhouse gases. Therefore, it needs for developing reliable models to gauge, analyse, and monitor the level of greenhouse gas emissions, especially for dense mega-city populations. Focusing on the Karachi Region as a case study, this thesis formulates an imputation scheme for missing data of greenhouse gases from traffic flow. This work also identifies useful parameters of distributions determined by local greenhouse data, performs EDA using classical and modern techniques for modeling the data, discusses the impact of greenhouse gases on local temperature fluctuation. To do bootstrapping of greenhouse data, a new kind of hybrid random number generator is proposed which gives satisfactory results for smaller number of bootstrap samples. Finally, it finds the interrelationship between local and global temperature fluctuations after doing analysis on the dynamics of local and global warming evolution processes.