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<p><strong>Abstract.</strong> From basic physical assumptions we derive a simple linear model of the global CO<sub>2</sub> cycle without free parameters. It yields excellent agreement with the observations reported by the carbon dioxide information analysis center (CDIAC) as time series of atmospheric CO<sub>2</sub> growth, of sinks in the ocean and of absorption by the biosphere. The agreement extends from the year 1850 until present (2013). Based on anthropogenic CO<sub>2</sub> emissiondoi:10.5194/esdd-6-2043-2015 fatcat:5ivpragwizf5lnyfyaacyzbzb4