In order to inform better policy, and allow for a smoother transition away from fossil fuels with least cost in mind, this project will attempt to offer an improved mathematical model of the effects of different greenhouse gases on the environment by way of emissions equivalences, over a variety of timescales, and more accurately represent the effect that methane has in the role of global warming in comparison to CO2.
The concentration of a gas in the atmosphere can be accurately approximated as a function of time by the convolution integral of emissions with a so-called response function, which is specific to the gas being considered. By taking the Laplace transform of this relation, the convolution integral is converted to the product of two functions, and thus simpler equations can be derived between the key quantities. The transformed equations will be used as the jumping off point for this project, as they allow for modelling approximations that are simpler and more accurate than existing equivalence relations such as GWP.
Swinburne University of Technology
Having an interest in mathematics from a young age, Joshua has gone onto study an eclectic mix of subjects at university, with a combination of a Bachelor of Arts and Bachelor of Science in Film Studies and Applied Mathematics respectively. Whether it be understanding nature phenomena or envisioning unexplored problems, Joshua’s goal is to systematically problem-solve anything thrown at him.
If he’s not doing mathematics, then he can be found participating in any of his hobbies such as studying video game history, programming, learning Polish, or enjoying a glass of Georgian wine.