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The increase in glacial cycle length from approximately $41$ to on average$100$ thousand years around $1$ million years ago, called the MiddlePleistocene Transition (MPT), lacks a conclusive explanation. We describe adynamical mechanism which we call Ramping with Frequency Locking (RFL), thatexplains the transition by an interaction between the internal period of aself-sustained oscillator and forcing that contains periodic components. Thismechanism naturally explains the abrupt increase in cycle length fromapproximately $40$ to $80$ thousand years observed in proxy data, unlike somepreviously proposed mechanisms for the MPT. A rapid increase in durations canbe produced by a rapid change in an external parameter, but this assumes ratherthan explains the abruptness. In contrast, models relying on frequency lockingcan produce a rapid change in durations assuming only a slow change in anexternal parameter. We propose a scheme for detecting RFL in complex,computationally expensive models, and motivate the search for climate variablesthat can gradually increase the internal period of the glacial cycles.

The Middle Pleistocene Transition by frequency locking and slow ramping of internal period