## Bayesian Analysis

- Bayesian Anal.
- Volume 3, Number 1 (2008), 1-37.

### Inferring climate system properties using a computer model

Chris E. Forest, Bruno Sansó, and Daniel Zantedeschi

#### Abstract

A method is presented to estimate the probability distributions of climate system properties based on a hierarchical Bayesian model. At the base of the model, we use simulations of a climate model in which the outputs depend on the climate system properties and can also be compared with observations. The degree to which the model outputs are "consistent" with the observations is used to obtain the likelihood for the climate system properties. We define the climate system properties as those properties of the climate model that control the large-scale response of the climate system to external forcings. In this paper, we use the MIT 2D climate model (MIT2DCM) to provide simulations of ocean, surface and upper atmospheric temperature behavior over zones defined by latitude bands. In the MIT2DCM, the climate system properties can be set via three parameters: Climate sensitivity (the equilibrium surface temperature change in response to a doubling of CO2 concentrations), the rate of deep-ocean heat uptake (as set by the diffusion of temperature anomalies into the deep-ocean below the climatological mixed layer), and net strength of the anthropogenic aerosol forcings. In this work, we use output from MIT2DCM coupled with historical temperature records to make inference about these climate system properties. Even though the MIT2DCM is far less computationally demanding than a full 3D climate model, the task of running the model for each combination of the climate parameters and processing its output is computationally demanding. Thus, a statistical model is required to approximate the model output. We obtain results that are critical for understanding uncertainty in future climate change and provide an independent check that the information contained in recent climate change is robust to statistical treatment.

#### Article information

**Source**

Bayesian Anal. Volume 3, Number 1 (2008), 1-37.

**Dates**

First available in Project Euclid: 22 June 2012

**Permanent link to this document**

http://projecteuclid.org/euclid.ba/1340370557

**Digital Object Identifier**

doi:10.1214/08-BA301

**Mathematical Reviews number (MathSciNet)**

MR2383247

**Zentralblatt MATH identifier**

1330.86029

**Keywords**

Model calibration Climate change Climate sensitivity Bayesian methods

#### Citation

Sansó, Bruno; Forest, Chris E.; Zantedeschi, Daniel. Inferring climate system properties using a computer model. Bayesian Anal. 3 (2008), no. 1, 1--37. doi:10.1214/08-BA301. http://projecteuclid.org/euclid.ba/1340370557.

#### See also

- Related item: James Gattiker, Dave Higdon. Comment on article by Sansó et al. Bayesian Anal., Vol. 3, Iss. 1 (2008), 39-44.Project Euclid: euclid.ba/1340370558
- Related item: Jonathan Rougier, Dave Higdon. Comment on article by Sansó et al. Bayesian Anal., Vol. 3, Iss. 1 (2008), 45-56.Project Euclid: euclid.ba/1340370559
- Related item: Chris E. Forest, Bruno Sansó, Daniel Zantedeschi. Rejoinder. Bayesian Anal., Vol. 3, Iss. 1 (2008), 57-61.Project Euclid: euclid.ba/1340370560