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    Concentration of Carbon Dioxide inside Leaves
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    A linear systems analysis of the Mauna Loa carbon dioxide data is presented using estimated fossil carbon dioxide production as input and observed yearly means of carbon dioxide in the atmosphere as output. The analysis is done on discrete time basis with 1 year as a time step. Because of the near exponential increase in fossil fuel production, not much information is possible to extract from the data concerning system parameters except that at present, 50–60% of the atmosphere “excess” carbon dioxide is transferred to the earth's surface yearly (the oceans and land surfaces). However, the results indicate that the pre-industrial equilibrium level of atmospheric carbon dioxide may have increased to a new “equilibrium” level about 10 per mille higher. This can, however, be due to the slow exchange rate between deep sea water and the more superficial parts, the parameter of which is not possible to deduce from the available set of input-output data.
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    Elevated carbon dioxide throughout the lifespan of soybean causes an increase in photosynthesis, biomass, and seed yield. A rectangular hyperbola model predicts a 32% increase in soybean seed yield with a doubling of carbon dioxide from 315 to 630 ppm and shows that yields may have increased by 13% from about 1800 A.D. to the present due to global carbon dioxide increases. Several other sets of data indicate that photosynthetic and growth response to rising carbon dioxide of many species, including woody plants, is similar to that of soybean. Calculations suggest that enough carbon could be sequestered annually from increased photosynthesis and biomass production due to the rise in atmospheric carbon dioxide from 315 ppm in 1958 to about 345 ppm in 1986 to reduce the impact of deforestation in the tropics on the putative current flux of carbon from the biosphere to the atmosphere.
    Carbon respiration
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    An attempt was made to statistically explain the yearly increased rate of atmospheric carbon dioxide accumulation by means of the yearly emissions of anthropogenic carbon dioxide and the global mean temperature using data from the period 1980–2007. It is commonly assumed (e.g. by the UN Intergovernmental Panel on Climate Change; IPCC) that a part of the emitted carbon dioxide will stay in the atmosphere and, therefore, large emission rate of carbon dioxide should cause large increase rate of atmospheric carbon dioxide. High temperature should also increase the atmospheric carbon dioxide concentration due to lowered solubility of carbon dioxide in the backmixed ocean surface water. However, using two-dimensional regression analysis, the increase rate could not be explained by the emissions because temperature was the dominating parameter that controlled the increase rate. The fraction of the emissions that remained in the atmosphere—or the airborne fraction—decreased significantly despite global warming. This may be explained by increased diffusion or sink flow to the biosphere and the oceans due to increased atmospheric partial pressure of carbon dioxide.
    Atmospheric carbon cycle
    Carbon respiration
    Carbon sink