We analyze and critique how optimizing Integrated Assessment Models, and specifically the widely-used DICE model, represent abatement costs. Many such models assume temporal independence -abatement costs in one period are not affected by prior abatement. We contrast this with three dimensions of dynamic realism in emitting systems: inertia, induced innovation, and path dependence.We extend the DICE model with a stylized representation of such dynamic factors. By adding a transitional cost component, we characterize the resulting system in terms of its capacity to adapt in path-dependent ways, and the transitional costs of accelerating abatement. We formalize a resulting metric of the pliability of the system, and the characteristic timescales of adjustment.With the resulting DICE-PACE model, we show that in a system with high pliability, the optimal strategy involves much higher initial investment in abatement, sustained at roughly constant levels for some decades, which generates an approximately linear abatement path and emissions declining steadily to zero. This contrasts sharply with the traditional formulation. Characteristic transition timescales of 20-40 years result in an optimum path † Professor of Energy and Climate Change, University College London. m.grubb@ucl.ac.uk ‡ Postdoctoral researcher at which stabilizes global temperatures around a degree below the traditional DICE behavior; with otherwise modest assumptions, a pliable system can generate optimal scenarios within the goals of the Paris Agreement, with far lower long run combined costs of abatement and climate damages.We conclude that representing dynamic realism in such models is as important as -and far more empirically tractable than -continued debate about the monetization of climate damages and 'social cost of carbon'.https://doi.org/10.36687/inetwp106
JEL Codes: Q5, H23, Q54, Q55The aim of the DICE model, and many others following its general philosophy, is to calculate a longterm balance of costs and benefits. Figure 1 shows the results obtained from the most recent version of DICE (2016). With Nordhaus' standard default published assumptions, it produces an emissions path which (after a drop to a present 'optimal level') has modest initial emissions abatement, strengthening over time due to rising climate damages and assumed falling cost of emission abatement. Abatement tends to be deferred, global emissions in 2050 rise back to about present levels before declining at an accelerating rate towards zero early in the next century. The underlying assumptions mean that 'climate damages' -represented as impact on global GDP -remain below 4% of GDP to the end of the century (then doubling by about 2150). Global GDP is assumed to increase seven-fold over the century and climate in the standard DICE is assumed to be a modest issue, with both the global damages and abatement costs having negligible impact on the assumed continued growth in global GDP.