MLchartDataset catalogue

Ergodicity

Term · Meteorology and atmospheric science · MLC-T-MET-005465

A property of a stochastic process where the time average of a single realization of the process is equal to the ensemble average over all possible realizations. In atmospheric science, this concept is sometimes applied to climate models, suggesting that a sufficiently long simulation of a single model run can represent the statistical properties of the climate system. However, the atmosphere's inherent non-linearity and chaotic nature often limit the strict applicability of ergodicity.

Table 1. Record
IdentifierMLC-T-MET-005465
FieldMeteorology and atmospheric science
Synonymsstatistical stationarity
See alsoEnsemble average
Record as JSON
{
  "id": "MLC-T-MET-005465",
  "term": "Ergodicity",
  "field": "Meteorology and atmospheric science",
  "definition": "A property of a stochastic process where the time average of a single realization of the process is equal to the ensemble average over all possible realizations. In atmospheric science, this concept is sometimes applied to climate models, suggesting that a sufficiently long simulation of a single model run can represent the statistical properties of the climate system. However, the atmosphere's inherent non-linearity and chaotic nature often limit the strict applicability of ergodicity.",
  "synonyms": [
    "statistical stationarity"
  ],
  "see_also": [
    "ensemble average"
  ],
  "url": "https://mlchart.com/terminology/meteorology/ergodicity/"
}

Record 3,332 of 10,816 in Meteorology and atmospheric science terminology (MLC-0110). Request the full dataset.