http://arxiv.org/abs/1402.3243
The rise of oxygen in Earth’s atmosphere that occurred 2.4 to 2.2 billion years ago is known as the Earth’s Great Oxidation, and its impact on the development of life on Earth was profound. The proposed underlying mathematical models are based on physical parameters whose values are currently not well-established owing to uncertainties in geological and biological data. In this paper, a previously developed model of Earth’s atmosphere is modified by adding different strengths of noise to account for the parameters’ uncertainties. The effects of the noise on time variations of oxygen, carbon and methane in Earth’s early atmosphere are investigated by using fractal and multifractal analysis. We show that these time variations cannot properly be described by a single fractal dimension because they exhibit multifractal characteristics. The obtained results also demonstrate that our time series exhibit the multifractality caused by the long-range time correlations.
S. Kumar, Z. Musielak and M. Cuntz
Fri, 14 Feb 14
21/42
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