ArticleJournal of the Royal Society, Interface2022
Ergodic descriptors of non-ergodic stochastic processes.
Article in Journal of the Royal Society, Interface, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
12 citing papers in PubMed.
- Same geometry, different dynamics: what uncontrolled manifold (UCM) analysis misses about motor control.Experimental brain research · 2026Article
- Ball Don't Lie: Commentary on Chemero (2024) and Wallot et al. (2024).Topics in cognitive science · 2026Article
- Non-ergodicity in ecology and evolution.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Beyond hypertrophy: a network physiology perspective on the cardio-neuromuscular trade-off in elite soccer.Frontiers in network physiology · 2026Article
- Multifractal Cascade Modeling Reveals Fundamental Limits of Current Neuroimaging Strategies.Sensors (Basel, Switzerland) · 2025Article
- Wobble Board Instability Enhances Compensatory CoP Responses to CoM Movement Across Timescales.Sensors (Basel, Switzerland) · 2025Article
- Empirical methods that provide physical descriptions of dynamic cellular processes.Biophysical journal · 2025Review
- Convergence and equilibrium in molecular dynamics simulations.Communications chemistry · 2024Article
- Knowledge gaps in psychedelic medicalisation: Clinical studies and regulatory aspects.Neuroscience applied · 2024Review
- Multifractal foundations of biomarker discovery for heart disease and stroke.Scientific reports · 2023Article
- Multifractal test for nonlinearity of interactions across scales in time series.Behavior research methods · 2023Article
- Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The stochastic processes underlying the growth and stability of biological and psychological systems reveal themselves when far-from-equilibrium. Far-from-equilibrium, non-ergodicity reigns. Non-ergodicity implies that the average outcome for a group/ensemble (i.e. of representative organisms/minds) is not necessarily a reliable estimate of the average outcome for an individual over time. However, the scientific interest in causal inference suggests that we somehow aim at stable estimates of the cause that will generalize to new individuals in the long run. Therefore, the valid analysis must extract an ergodic stationary measure from fluctuating physiological data. So the challenge is to extract statistical estimates that may describe or quantify some of this non-ergodicity (i.e. of the raw measured data) without themselves (i.e. the estimates) being non-ergodic. We show that traditional linear statistics such as the standard deviation, coefficient of variation and root mean square can break ergodicity. Time series of statistics addressing sequential structure and its potential nonlinearity: fractality and multi-fractality, change in a time-independent way and fulfil the ergodic assumption. Complementing traditional linear indices with fractal and multi-fractal indices would empower the study of stochastic far-from-equilibrium biological and psychological dynamics.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.