Table 1 List of acronyms and symbols used in the main text

From: Improved estimates of future precipitation change in climate models

Symbol or acronym

Definition

\({p(t),{p}}_{i}(t)\)

Precipitation in year t, precipitation in year t during Period \(i\), and i indicates the year (=1 or 2)

\({P}_{1}\), \({P}_{2}\)

Precipitation averaged over Periods 1 and 2, respectively

\({P}_{1}^{j}\), \({P}_{2}^{j}\); \(j=1,\,\mathrm{2,3}\,,\,...,\,{N}_{m}\)

Precipitation averaged over Periods 1 and 2, respectively, in the model or simulation \(j=1,\,2,\,3,\,...,\,{N}_{m}\)

\({\mu }_{j}\)

Population mean precipitation in the Period \(j\)

\(\% \varDelta P\)

\(=100({\mu }_{2}-{\mu }_{1})/{\mu }_{1}\), the percentage change in population mean precipitation, from Period 1 to Period 2

\(\% \varDelta {P}^{j}\)

\(=100({P}_{2}^{j}-{P}_{1}^{j})/{P}_{1}^{j}\), the standard estimate of the percentage change in the model or simulation \(j\)

\(\% \overline{\Delta {P}\,^{j}}\)

\(=\frac{1}{{N}_{m}}{\sum }_{j=1}^{{N}_{m}}\{ \% \varDelta {P}^{j}\}\), the standard estimate of the percentage change in a model with \({N}_{m}\) runs, or an ensemble of \({N}_{m}\) models consisting of one run per model

\(m\)

The number of years in the reference period (i.e., Period 1)

EFC

externally forced change

E(X)

The Expectation Value of X

EM; MMEM; MMM

Ensemble mean; multi-model ensemble mean; multi-model mean

CoV; \({{{\rm {CoV}}}}_{i}\)

Coefficient of variation = \(\sigma /\mu\), where \(\sigma\) is the standard deviation and \(\mu\) is the population mean; CoV in Period i

\(D\)

\(= \% \overline{\Delta {P}\,^{j}}- \% \varDelta P\), the difference between the standard estimate and the population mean, i.e., the error in the standard estimate

\({D}_{0}\)

The value of \(D\) in the case where the EFC = 0