An Error Correction Model to Project Sea Level Rise

Abstract

Semi-empirical is a standard approach that is widely used by climate scientists to project the sea level rise, for example, work by Rahmstorf (2007, 2009), Grinsted et al. (2009), and Orlic& Pasaric (2013, 2015). The sea level projections from the these past studies tend to vary widely depending on the relationship assumed and the data used. In this paper, we propose a new approach, which is built on a well-known Econometric model, namely the Error Correction Model (Engle and Granger, 1987), to estimate the relationship between the sea level rise and the global warming. The main advantages of our approach are: 1. sound empirical framework as the ECM model is a well established approach in the Economics literature; 2. capable of estimating both the long-term relationship between the sea level and the temperature, and short-term dynamics of such relationship; 3. the framework is flexible enough to accommodate a wide range of assumptions, therefore can be expanded in future research. Using data from 1882 to 2020, our model estimates that for every one degree Celsius increase in global temperature, the sea level will rise by 279 millimeters over the course of 46 years. The magnitude of our estimate is within the range of the past studies.The parameters from our estimates are statistically significant and the model back tests well in the out-of-sample testing. We then construct sea level rise projections corresponding to different IPCC climate paths. At conclusion, we also propose several future research options that can further refine our method.

Presenters

Qiang Fu
Managing Director, Corporate Model Risk, Wells Fargo, Virginia, United States

Raymond Fu
Student, Not applicable, TJHSST, United States

Details

Presentation Type

Paper Presentation in a Themed Session

Theme

Assessing Impacts in Diverse Ecosystems

KEYWORDS

GLOBAL WARMING, SEA LEVEL RISE, SEMI-EMPIRICAL, STATISTICS, PROJECTION