Abstract
Analysis of a high resolution record of climate change spanning the past 2.6 million years suggests that the dynamics of the climate is not high dimensional, similar to previous results using much shorter records [Nicolis & Nicolis 1984, Vautard & Ghil 1989]. The correlation dimension is significantly less than the dimension of a linear, Gaussian process with the same power spectrum (i.e., phase-randomized surrogate data) as the climate record. The climatic correlation dimension is similar to the dimension of a model of the solar forcing of climate, suggesting the possibility of a linear climate-system response to orbital forcing, consistent with frequency-domain analysis results [Hays et al., 1976, Imbrie & Imbrie, 1980]. Consequently, inferring an inherently nonlinear (possibly chaotic) climate system without considering the nonlinear (possibly chaotic) insolation forcing dynamics could be misleading.
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