Estimating the Resilience of Non-Stationary Systems

Fuente: arXiv
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Autori principali: Smith, Taylor, Morr, Andreas, Schötz, Christof, Boers, Niklas
Natura: Preprint
Pubblicazione: 2026
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author Smith, Taylor
Morr, Andreas
Schötz, Christof
Boers, Niklas
author_facet Smith, Taylor
Morr, Andreas
Schötz, Christof
Boers, Niklas
contents A wide body of work has applied the concept of critical slowing down to estimate the stability of different Earth system components. Most of them -- such as global vegetation -- are inherently non-stationary, for example due to strong seasonal forcing, which complicates the estimation of their resilience to external perturbations. Here, we introduce a new method to account for non-stationarity in estimating resilience for diverse synthetic and real-world data sets via a regression-based formulation of the Langevin Equation. Our method does not require extensive data pre-processing, is robust to gaps in the data record, and does not require regular time sampling. We further show that our method can incorporate time-varying data uncertainties, recover uncertainty bounds in stability estimates, and can be natively extended to examine spatial systems. Our method is a drop-in replacement for widely-used autocorrelation-based resilience estimates, and can be widely applied across Earth system components.
format Preprint
id arxiv_https___arxiv_org_abs_2604_24345
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Estimating the Resilience of Non-Stationary Systems
Smith, Taylor
Morr, Andreas
Schötz, Christof
Boers, Niklas
Chaotic Dynamics
Geophysics
A wide body of work has applied the concept of critical slowing down to estimate the stability of different Earth system components. Most of them -- such as global vegetation -- are inherently non-stationary, for example due to strong seasonal forcing, which complicates the estimation of their resilience to external perturbations. Here, we introduce a new method to account for non-stationarity in estimating resilience for diverse synthetic and real-world data sets via a regression-based formulation of the Langevin Equation. Our method does not require extensive data pre-processing, is robust to gaps in the data record, and does not require regular time sampling. We further show that our method can incorporate time-varying data uncertainties, recover uncertainty bounds in stability estimates, and can be natively extended to examine spatial systems. Our method is a drop-in replacement for widely-used autocorrelation-based resilience estimates, and can be widely applied across Earth system components.
title Estimating the Resilience of Non-Stationary Systems
topic Chaotic Dynamics
Geophysics
url https://arxiv.org/abs/2604.24345