Designing an optimal 'tech fix' path to global climate stability: Directed R&D and embodied technical change in a multi-phase framework


Adriaan van Zon & Paul A. David

#2013-041

The research reported here gives priority to understanding the inter-temporal resource allocation requirements of a program of technological changes that could halt global warming by completing the transition to a "green" (zero net CO2-emission) production regime within the possibly brief finite interval that remains before Earth's climate is driven beyond a catastrophic tipping point. This paper formulates a multi-phase, just-in-time transition model incorporating carbon-based and carbon-free technical options requiring physical embodiment in durable production facilities, and having performance attributes that are amenable to enhancement by directed R&D expenditures. Transition paths that indicate the best ordering and durations of the phases in which intangible and tangible capital formation is taking place, and capital stocks of different types are being utilized in production, or scrapped when replaced types embodying socially more efficient technologies, are obtained from optimizing solutions for each of a trio of related models that couple the global macro-economy's dynamics with the dynamics of the climate system. They describe the flows of consumption, CO2 emissions and the changing atmospheric concentration of green-house gas (which drives global warming), along with the investment dynamics required for the timely transformation of the production regime. These paths are found as the welfare-optimizing solutions of three different "stacked Hamiltonians", each corresponding to one of our trio of integrated endogenous growth models that have been calibrated comparably to emulate the basic global setting for the "transition planning" framework of dynamic integrated requirements analysis modeling (DIRAM). As the paper's introductory section explains, this framework is proposed in preference to the (IAM) approach that environmental and energy economists have made familiar in integrated assessment models of climate policies that would rely on fiscal and regulatory instruments -- but eschew any analysis of the essential technological transformations that would be required for those policies to have the intended effect. Simulation exercises with our models explore the optimized transition paths' sensitivity to parameter variations, including alternative exogenous specifications of the location of a pair of successive climate "tipping points": the first of these initiates higher expected rates of damage to productive capacity by extreme weather events driven by the rising temperature of the Earth's surface; whereas the second, far more serious "climate catastrophe" tipping point occurs at a still higher temperature (corresponding to a higher atmospheric concentration of CO2). In effect, that sets the point before which the transition to a carbon-free global production regime must have been completed in order to secure the possibility of future sustainable development and continued global economic growth.

JEL classification: Q540, Q550, O310, O320, O330, O410, O440.

Keywords: global warming, tipping point, catastrophic climate instability, extreme weatherrelated damages, R&D, directed technical change, capital-embodied technologies, optimal sequencing, multi-phase optimal control, sustainable endogenous growth.

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UNU-MERIT