PMID- 34717325 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20211031 IS - 1089-7682 (Electronic) IS - 1054-1500 (Linking) VI - 31 IP - 10 DP - 2021 Oct TI - A flexible data-driven cyclostationary model for the probability density of El Nino-Southern Oscillation. PG - 103126 LID - 10.1063/5.0060104 [doi] AB - Model simulations of El Nino-Southern Oscillation (ENSO) are usually evaluated by comparing them to observations using a multitude of metrics. However, this approach cannot provide an objective summary metric of model performance. Here, we propose that such an objective model evaluation should involve comparing the full joint probability density functions (pdf's) of ENSO. For simplicity, ENSO state is defined here as sea surface temperature anomalies over the Nino 3 region and equatorial Pacific thermocline depth anomalies. We argue that all ENSO metrics are a function of the joint pdf, the latter fully specifying the underlying stochastic process. Unfortunately, there is a lack of methods to recover the joint ENSO pdf from climate models or observations. Here, we develop a data-driven stochastic model for ENSO that allows for an analytic solution of the non-Markov non-Gaussian cyclostationary ENSO pdf. We show that the model can explain relevant ENSO features found in the observations and can serve as an ENSO simulator. We demonstrate that the model can reasonably approximate ENSO in most GCMs and is useful at exploring the internal ENSO variability. The general approach is not limited to ENSO and could be applied to other cyclostationary processes. FAU - Olson, Roman AU - Olson R AD - Irreversible Climate Change Research Center, Yonsei University, Seoul 03722, South Korea. FAU - Fan, Yanan AU - Fan Y AD - School of Mathematics and Statistics and UNSW Data Science Hub, UNSW Sydney, 2052 Sydney, Australia. FAU - An, Soon-Il AU - An SI AUID- ORCID: 000000020003429X AD - Irreversible Climate Change Research Center, Yonsei University, Seoul 03722, South Korea. FAU - Kim, Soong-Ki AU - Kim SK AUID- ORCID: 000000016586780X AD - Irreversible Climate Change Research Center, Yonsei University, Seoul 03722, South Korea. LA - eng PT - Journal Article PL - United States TA - Chaos JT - Chaos (Woodbury, N.Y.) JID - 100971574 SB - IM EDAT- 2021/11/01 06:00 MHDA- 2021/11/01 06:01 CRDT- 2021/10/31 20:27 PHST- 2021/10/31 20:27 [entrez] PHST- 2021/11/01 06:00 [pubmed] PHST- 2021/11/01 06:01 [medline] AID - 10.1063/5.0060104 [doi] PST - ppublish SO - Chaos. 2021 Oct;31(10):103126. doi: 10.1063/5.0060104.