Publication Abstracts

Lunt et al. 2021, accepted

Lunt, D.J., D. Chandan, H.J. Dowsett, A.M. Haywood, G.M. Lunt, J.C. Rougier, U. Salzmann, G.A. Schmidt, and P.J. Valdes, 2021: Multi-variate factorisation of numerical simulations. Geosci. Model Dev., accepted.

Factorisation is widely used in the analysis of numerical simulations. It allows changes in properties of a system to be attributed to changes in multiple variables associated with that system. There are many possible factorisation methods; here we discuss three previously-proposed factorisations that have been applied in the field of climate modelling: the linear factorisation, the Stein and Alpert (1993) factorisation, and the Lunt et al (2012) factorisation. We show that, when more than two variables are being considered, none of these three methods possess all three properties of "uniqueness", "symmetry", and "completeness". Here, we extend each of these factorisations so that they do possess these properties for any number of variables, resulting in three factorisations — the linear-sum factorisation, the "shared-interaction" factorisation, and the "scaled-total" factorisation. We show that the linear-sum factorisation and the shared-interaction factorisation reduce to be identical. We present the results of the factorisations in the context of studies that used the previously-proposed factorisations. This reveals that only the linear-sum/shared-interaction factorisation possesses a fourth property — "boundedness", and as such we recommend the use of this factorisation in applications for which these properties are desirable.

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BibTeX Citation

  author={Lunt, D. J. and Chandan, D. and Dowsett, H. J. and Haywood, A. M. and Lunt, G. M. and Rougier, J. C. and Salzmann, U. and Schmidt, G. A. and Valdes, P. J.},
  title={Multi-variate factorisation of numerical simulations},
  journal={Geosci. Model Dev.},

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RIS Citation

ID  - lu07100r
AU  - Lunt, D. J.
AU  - Chandan, D.
AU  - Dowsett, H. J.
AU  - Haywood, A. M.
AU  - Lunt, G. M.
AU  - Rougier, J. C.
AU  - Salzmann, U.
AU  - Schmidt, G. A.
AU  - Valdes, P. J.
PY  - 2021
TI  - Multi-variate factorisation of numerical simulations
JA  - Geosci. Model Dev.
ER  -

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