Table 11. Derivation of the Values for the TSAs Use Table
Commodity | Industry | Final demand | Total commod-ity output | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
In-house transportation | Personal consump-tion | Private Fixed Investment | Other | ||||||||
Industry1 | Air | Rail | Truck | Water | HPTS | Industryn | |||||
Commodity1 | nTIST11 | ∑jiTISTAIR i=1 | ∑jiTISTRAIL i=1 | ∑jiTISTTRUCK i=1 | ∑jiTISTWATER i=1 | Amount of commodity 1 used to support automobile operating expenditures (taken from PCE) | nTIST1n | I-O use value less automobile ownership and operating inputs | I-O use value increased by automobile ownership inputs from PCE | I-O use value | Row sum |
In-house transportation | |||||||||||
Air | ∑iiTISTAIR j=1 | 0 | 0 | 0 | 0 | 0 | ∑iiTISTAIR j=n | 0 | 0 | 0 | Row sum |
Rail | ∑iiTISTRAIL j=1 | 0 | 0 | 0 | 0 | 0 | ∑iiTISTRAIL j=n | 0 | 0 | 0 | Row sum |
Truck | ∑iiTISTTRUCK j=1 | 0 | 0 | 0 | 0 | 0 | ∑iiTISTTRUCK j=n | 0 | 0 | 0 | Row sum |
Water | ∑iiTISTWater j=1 | 0 | 0 | 0 | 0 | 0 | ∑iiTISTWATER j=n | 0 | 0 | 0 | Row sum |
HPTS | 0 | 0 | 0 | 0 | 0 | 0 | 0 | Total HPTS output | 0 | 0 | Row sum |
Commodityn | nTISTn1 | ∑jiTISTAIR i=n | ∑jiTISTRAIL i=n | ∑jiTISTTRUCK i=n | ∑jiTISTWATER i=n | Amount of commodity i used to support automobile operating expenditures (taken from PCE) | nTISTnn | I-O use value less automobile ownership and operating inputs | I-O use value increased by automobile ownership inputs from PCE | I-O use value | Row sum |
Total intermediate inputs | Intermediate input column sum | Intermediate input column sum | Intermediate input column sum | Intermediate input column sum | Intermediate input column sum | Intermediate input column sum | Intermediate input column sum | N/A | N/A | N/A | N/A |
Total value added | ∑nTISTVAj=1 | ∑jiTISTAIR i=VA | ∑jiTISTRAIL i=VA | ∑jiTISTTRUCK i=VA | ∑jiTISTWATER i=VA | Sum of the value of labor services from use of private automobiles by households and depreciation of automobiles | ∑nTISTVAj=n | N/A | N/A | N/A | N/A |
Industry output | Intermediate input + total value added | Intermediate input + total value added | Intermediate input + total value added | Intermediate input + total value added | Intermediate input + total value added | Intermediate input + total value added | Intermediate input + total value added | N/A | N/A | N/A | Column sum |
KEY: N/A = not applicable
VA = value -added
i = ith commodity
j = jth industry
∑iiTISTkj = column total from the iTIST table for industry j and mode k, where k = air, rail, water, or truck
∑jiTISTkj = row total from the iTIST table for commodity i and mode k, where k = air, rail, water, or truck
∑jiTISTji=va = row total from the iTIST table for all value-added commodities used in mode k, where k= air, rail, water, or truck
∑nTISTVAj = sum of nTIST values for value-added commodities for industry j