1979
DOI: 10.2172/5927764
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Modeling the circulation of carbon in the world's terrestrial ecosystems

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Cited by 15 publications
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“…Similarly, forcing the model of Emanuel et al . () with a time depending signal also confirms that incorrectly using the autonomous case formulas for the nonautonomous case results in large discrepancies between the two estimates of transit times (Fig. ).…”
Section: Carbon Cycle Models As Dynamical Systemssupporting
confidence: 65%
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“…Similarly, forcing the model of Emanuel et al . () with a time depending signal also confirms that incorrectly using the autonomous case formulas for the nonautonomous case results in large discrepancies between the two estimates of transit times (Fig. ).…”
Section: Carbon Cycle Models As Dynamical Systemssupporting
confidence: 65%
“…As an example, consider the five‐pool carbon cycle model of Emanuel et al . (). The model is expressed in matrix and vector form as dbold-italicxdt=x˙=bold-italicI+A·bold-italicx, where x is a vector of carbon pools, I is a vector of photosynthetic inputs, and A is a matrix of cycling and transfer rates.…”
Section: Carbon Cycle Models As Dynamical Systemsmentioning
confidence: 97%
“…However, since the model biosphere does not predict any CO 2 concentrations in leaves, the respective proportions of F L and GPP to NPP were estimated by the following procedures. where φ is the proportion of CO 2 released by plant respiration relative to GPP. In a reflexive way, we obtain, In this study, the values of φ were set to be 0.8, 0.6 and 0.4 for low, middle and high latitudes (Box, 1978; Emanuel et al, 1981; Jarvis and Leverenz, 1983; Medina and Klinge, 1983). The ratio of F L / F IN is thought to be the same as that of β= C c / C a where C c and C a are CO 2 concentrations in chloroplast and ambient air, respectively.…”
Section: Model Descriptionmentioning
confidence: 99%
“…The matrix equation has long been used to examine carbon balance in and transfers among pools (Bolin & Eriksson, ; Emanuel et al ., ) and can be argued to represent internal processes that drive carbon cycle toward equilibrium for all types of terrestrial ecosystems on the Earth (Bolker et al ., ; Luo & Weng, ). It has been recently used to derive a semi‐analytic solution to accelerate the computationally expensive spin up of the land models (Xia et al ., ) and to establish a traceability framework to facilitate model intercomparisons, benchmark analyses, and data assimilation (Xia et al ., ).…”
Section: Mathematical Analysis Of Predictabilitymentioning
confidence: 99%