generalize algorithm for all kinds of discrete consumption turnpike model. Mixed-Consumption Turnpike (MCT) model is technology advanced dynamic model. The model uses a series of energy-pollutant-economy IO Tables with capital matrix. Comparing to the classic input-output model, it has two distinguish properties. First, it allows change in structure coefficient to embody technology advance. The technology change is embodied in material saving (the input-output coefficient) and capital composition improvement(capital coefficient). Second, it considers the change of energy mixture and corresponding pollutants removal efficiency. Table 4: Comparison of MCT model with other optimal IO models Theorem Turnpike theorem Non-Turnpike theorem Method model objective constraints model objective constraints - Xia(2010) Minimum Energy IO equations; Constraints of consumption industry structure Fu maximum GDP in IO equations; Carbon Linear Xue(2012) expenditure constraints approach programming Liu et al. maximum GDP in IO equations; Water use (2009) income approach constraints Static (value-added) Minimum cost of Water use constraints; water IO & water, dual resource endowment model problem 1) - Rose maximum IO equations; resource programming (1996) accumulated GDP endowment; investment Dynamic in expenditure accumulation equation approach Capital in Dynamic IO Zhang maximum Dynamic IO equations; Dynamic Linear & final term; equations; (2001) accumulated pollutants constraints; balance resource GDP ; minimum balance growth; final-term Dorfman, et growth rate endowment pollutants condition programming al.[25] IO J. He[1], He Dynamic IO Na,[7][8] model at al.[36], He equations; water at al.[37] resource endowment; final-term condition Yu et Accumulated Dynamic IO equations al.[84] value-added
generalize algorithm for all kinds of discrete consumption turnpike model. Mixed-Consumption Turnpike (MCT) model is technology advanced dynamic model. The model uses a series of energy-pollutant-economy IO Tables with capital matrix. Comparing to the classic input-output model, it has two distinguish properties. First, it allows change in structure coefficient to embody technology advance. The technology change is embodied in material saving (the input-output coefficient) and capital composition improvement(capital coefficient). Second, it considers the change of energy mixture and corresponding pollutants removal efficiency. Table 4: Comparison of MCT model with other optimal IO models Theorem Method Turnpike theorem Non-Turnpike theorem model objective constraints model objective constraints Static IO model Linear programming - Xia(2010) Minimum Energy consumption IO equations; Constraints of industry structure Fu Xue(2012) maximum GDP in expenditure approach IO equations; Carbon constraints Liu et al. (2009) maximum GDP in income approach (value-added) IO equations; Water use constraints & Minimum cost of water, dual problem Water use constraints; water resource endowment Dynamic programming - Rose (1996) maximum accumulated GDP in expenditure approach IO equations; resource endowment; investment accumulation equation Dynamic IO model Linear programming & Dorfman, et al.[25] Capital in final term; balance growth rate Dynamic IO equations; resource endowment Zhang (2001) maximum accumulated GDP ; minimum pollutants Dynamic IO equations; pollutants constraints; balance growth; final-term condition J. He[1], He at al.[36], He at al.[37] Dynamic IO equations; water resource endowment; final-term condition Na,[7][8] Yu et al.[84] Accumulated value-added Dynamic IO equations 1)
2392_20160603031_2392_63-TurnpikeOptimality.docx