2022
DOI: 10.1007/s00382-022-06469-w
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The backward nonlinear local Lyapunov exponent and its application to quantifying the local predictability of extreme high-temperature events

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Cited by 7 publications
(3 citation statements)
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“…In the present study, SPAI 90d or 30d and STAI 90d or 30d , that is, SAI of 90‐ and 30‐day precipitation and 2‐m air temperature, are used to describe meteorological droughts and concurrent near‐surface temperature anomalies at seasonal and monthly scales. Meanwhile, the traditional percentile‐based indices are usually employed to describe the anomaly degrees of synoptic extremes, such as extreme precipitations (Wang et al, 2022), heat waves (Fang & Lu, 2020; Li et al, 2023; Vogel et al, 2020; Wang et al, 2013, 2016) and cold surges (Dai et al, 2022; Li et al, 2022; Zhang et al, 2022a) on historical records. Therefore, the present study also provides percentile‐based indices (e.g., P ExtrePreci,1d , P Heat,1d and P Cold,1d ) prepared for the detection of synoptic extremes.…”
Section: Methodsmentioning
confidence: 99%
“…In the present study, SPAI 90d or 30d and STAI 90d or 30d , that is, SAI of 90‐ and 30‐day precipitation and 2‐m air temperature, are used to describe meteorological droughts and concurrent near‐surface temperature anomalies at seasonal and monthly scales. Meanwhile, the traditional percentile‐based indices are usually employed to describe the anomaly degrees of synoptic extremes, such as extreme precipitations (Wang et al, 2022), heat waves (Fang & Lu, 2020; Li et al, 2023; Vogel et al, 2020; Wang et al, 2013, 2016) and cold surges (Dai et al, 2022; Li et al, 2022; Zhang et al, 2022a) on historical records. Therefore, the present study also provides percentile‐based indices (e.g., P ExtrePreci,1d , P Heat,1d and P Cold,1d ) prepared for the detection of synoptic extremes.…”
Section: Methodsmentioning
confidence: 99%
“…On the other hand, the Jacobian/indirect approach requires fitting a delayed embedding model (with embedding dimension and lag) to the available time series and calculating the LE from the Jacobian matrix of the model (Nychka et al, 1992). A variety of methods may be used to estimate unknown model frameworks, such as generalized additive models (GAMs) (Benincà et al, 2015), neural networks (Ellner and Turchin, 1995), local linear regression (Sugihara, 1994), and non-linear local LE (Li and Ding, 2022). In particular, to accurately predict the model framework of empirical data, the Jacobian/indirect method usually requires the incorporation of abiotic factors (e.g., temperature) into the system, which inevitably increases the data quality requirements.…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, the Jacobian/indirect approach requires fitting a delayed embedding model (with embedding dimension and lag) to the available time series and calculating the LE from the Jacobian matrix of the model (Nychka et al, 1992). A variety of methods may be used to estimate unknown model frameworks, such as generalized additive models (GAMs) (Benincà et al, 2015), neural networks (Ellner and Turchin, 1995), local linear regression (Sugihara, 1994), and non-linear local LE (Li and Ding, 2022). In particular, to accurately predict the model framework of empirical data, the Jacobian/indirect method usually requires the incorporation of abiotic factors (e.g., temperature) into the system, which inevitably increases the data quality requirements.…”
Section: Introductionmentioning
confidence: 99%