Sensitivity and feedback loops of a zero-dimensional climate model in the context of the weather and Earth’s climate control

Anthropogenic climate change requires the development of methods to prevent global warming. One of the possible geoengineering ways to stabilize climate is a manipulation of the solar radiation influx by forming artificial aerosol clouds in the stratosphere. The effectiveness of such activities is usually estimated on the basis of numerical modeling outside of the optimal control theory, without the formulation of the objective functional. In this paper, a zero-dimensional energy-balance climate model is discussed, and its basic properties are analyzed that are important from the viewpoint of the development of optimal control systems for climate and weather. On the basis of the model we evaluated the effects of intentional manipulations of the solar radiation influx on the global mean surface temperature. Since the obtained estimates are consistent with the results of previous studies, the present model can be considered as a basis for developing physically sound and technically feasible methods of optimal climate and weather control.