Influence of external forcings on abrupt millennial-scale climate changes: a statistical modelling study

TL;DR

This study uses statistical models to analyze how external forcings like insolation and ice volume influence abrupt climate changes during the last glacial period, highlighting ice volume's relative importance.

Contribution

It introduces stochastic dynamical systems models to quantify external forcing impacts on Dansgaard-Oeschger events, with model validation and extension to past glacial periods.

Findings

Ice volume forcing is more influential than insolation in the models.

The stochastic oscillator model accurately reproduces past climate transition frequencies.

Simulations suggest more frequent abrupt changes in older glacial periods than previously recorded.

Abstract

The last glacial period was punctuated by a series of abrupt climate shifts, the so-called Dansgaard-Oeschger (DO) events. The frequency of DO events varied in time, supposedly because of changes in background climate conditions. Here, the influence of external forcings on DO events is investigated with statistical modelling. We assume two types of simple stochastic dynamical systems models (double-well potential-type and oscillator-type), forced by the northern hemisphere summer insolation change and/or the global ice volume change. The model parameters are estimated by using the maximum likelihood method with the NGRIP Ca$^{2+}$ record. The stochastic oscillator model with at least the ice volume forcing reproduces well the sample autocorrelation function of the record and the frequency changes of warming transitions in the last glacial period across MISs 2, 3, and 4. The model performance is improved with the additional insolation forcing. The BIC scores also suggest that the ice volume forcing is relatively more important than the insolation forcing, though the strength of evidence depends on the model assumption. Finally, we simulate the average number of warming transitions in the past four glacial periods, assuming the model can be extended beyond the last glacial, and compare the result with an Iberian margin sea-surface temperature (SST) record (Martrat et al., Science, vol. 317, p. 502, 2007). The simulation result supports the previous observation that abrupt millennial-scale climate changes in the penultimate glacial (MIS 6) are less frequent than in the last glacial (MISs 2-4). On the other hand, it suggests that the number of abrupt millennial-scale climate changes in older glacial periods (MISs 6, 8, and 10) might be larger than inferred from the SST record.