Optimal control of a global model of climate change with adaptation and mitigation

Atolia, M., Loungani, P., Maurer, H., & Semmler, W. (2023). Optimal control of a global model of climate change with adaptation and mitigation. Mathematical Control and Related Fields 13 (2) 583-604. 10.3934/mcrf.2022009.

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Abstract

The economy-climate interaction and an appropriate mitigation policy for climate protection have been treated in various types of scientific modeling. Here, we specifically focus on the seminal work by Nordhaus [14, 15] on the economy-climate link. We extend the Nordhaus type model to in-clude optimal policies for mitigation, adaptation and infrastructure investment studying the dynamics of the transition to a low fossil-fuel economy. Formally, the model gives rise to an optimal control problem consisting of a dynamic system with five-dimensional state vector representing stocks of private capital, green capital, public capital, stock of brown energy in the ground, and carbon emissions. The objective function captures preferences over consumption but is also impacted by atmospheric CO2 and by mitigation and adaptation policies. Given the numerous challenges to climate change policies the control vector is eight-dimensional comprising mitigation, adaptation and infrastructure invest-ment. Our solutions are characterized by turnpike property and the optimal policies that accomplish the objective of keeping the CO2 levels within bound are characterized by a significant proportion of investment in public capital going to mitigation in the initial periods. When initial levels of CO2 are high, adaptation efforts also start immediately, but during the initial period, they account for a smaller proportion of government’s public investment. © 2023, American Institute of Mathematical Sciences.

Item Type:	Article
Uncontrolled Keywords:	Climate change model; discretization methods; fiscal policy; mitigation; optimal control; turnpike solution
Research Programs:	Advancing Systems Analysis (ASA)
Depositing User:	Luke Kirwan
Date Deposited:	16 Jan 2023 10:31
Last Modified:	16 Jan 2023 10:31
URI:	https://pure.iiasa.ac.at/18569

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