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The resilience metrics, i.e. the autocorrelation at lag 1, normalised spectral entropy and the spectral scaling component, are explained more thoroughly based example time series of a stable and unstable ecosystem.

Data S1. Understanding the stability metrics.

Figure S1. Example of the stability metrics: (a) The time series (ts) of a stable ecosystem X (red dashed line), the climatology (tsC, black) and the anomalies (tsA, red); (b) The time series of a stable ecosystem Y (red dashed line), the climatology (black) and the anomalies (blue); (c) The histogram of the anomalies of time series X (red) and Y (blue); (d) The sample autocorrelation of time series X (red) and Y (blue), (e) The spectrum upon the frequency and the logarithmic relationship between the spectrum and 1/frequency for time series X (red) and Y (blue).

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