Arctic feedbacks will accelerate climate change and could jeopardise mitigation efforts. The permafrost carbon feedback releases carbon to the atmosphere from thawing permafrost and the sea ice albedo feedback increases solar absorption in the Arctic Ocean. A constant positive albedo feedback and zero permafrost feedback have been used in nearly all climate policy studies to date, while observations and models show that the permafrost feedback is significant and that both feedbacks are nonlinear. Using novel dynamic emulators in the integrated assessment model PAGE-ICE, we investigate nonlinear interactions of the two feedbacks with the climate and economy under a range of climate scenarios consistent with the Paris Agreement. The permafrost feedback interacts with the land and ocean carbon uptake processes, and the albedo feedback evolves through a sequence of nonlinear transitions associated with the loss of Arctic sea ice in different months of the year. The US's withdrawal from the current national pledges could increase the total discounted economic impact of the two Arctic feedbacks until 2300 by $25 trillion, reaching nearly $120 trillion, while meeting the 1.5 °C and 2 °C targets will reduce the impact by an order of magnitude. from thawing permafrost, i and the sea ice-albedo feedback (SIAF) 8,9 increases solar absorption in the Arctic Ocean. Despite significant advances documented by the 5 th IPCC Assessment Report, projections of future climate using state-of-the-art Earth system models (ESMs) from the CMIP5 project do not include PCF, 10,11 although several models will incorporate the PCF in the 6 th assessment report.
Keywordsii Consequently, most climate policy assessments based on results from the ESMs underestimate the extent of warming in response to anthropogenic emissions. The SIAF, on the other hand, is present in climate projections by the ESMs through the coupling of sea ice models to atmosphere and ocean models. 10 However, existing estimates of the total economic impact of climate change under different policy assumptions using integrated assessment models (IAMs) assume that radiative forcing from SIAF increases linearly with global mean temperature, which is inconsistent with the predictions of the ESMs.iiiThe Paris Agreement of December 2015 sets out ambitious targets to "limit global mean temperature rise well below 2°C and, if possible, below 1.5°C above pre-industrial levels," which are more challenging than the current set of intended nationally determined contributions (INDCs). 12 Achieving these targets represents a significant challenge to the international community. 13,14 The framework set out by the Paris Agreement and its implementation continue to face political hurdles, epitomised by the recent decision of the United States Federal Government to withdraw from it.
15PCF and SIAF represent three of the thirteen main tipping elements the Earth's climate system identified in a recent survey by Schellnhuber et al. 16 Tipping elements are physical processes acting as posi...