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Table 1.

Investigated systems and their abbreviations.

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Table 1 Expand

Table 2.

EWSs for systems with absolute noise.

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Table 2 Expand

Table 3.

EWSs for systems with relative noise.

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Table 3 Expand

Fig 1.

System QG with absolute noise.

Both standard deviation (center row, left) and autocorrelation (center row, right) show a significant positive trend.

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Fig 1 Expand

Fig 2.

System LOG absolute noise.

Both standard deviation and autocorrelation show a significant positive trend.

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Fig 2 Expand

Fig 3.

System LND with relative noise.

Standard deviation shows a sharp increase, while autocorrelation increases more slowly.

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Fig 3 Expand

Fig 4.

System TD with relative noise.

Both standard deviation and autocorrelation show a significant positive trend.

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Fig 4 Expand

Fig 5.

System LNG with absolute noise.

For this system no EWS were detected. Standard deviation as well as autocorrelation decrease over time, while skewness and kurtosis show random fluctuations, but no clear trend.

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Fig 5 Expand

Fig 6.

System LOD with relative noise after global detrending.

Detrending successfully removes the false positive: The standard deviation now decreases, while the autocorrelation only shows random fluctuations.

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Fig 6 Expand

Fig 7.

Global surface temperature change.

Both standard deviation and autocorrelation increase, which can be interpreted as an EWS.

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Fig 7 Expand