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Table 11. Derivation of the Values for the TSAs Use Table

Thursday, August 15, 2024
 
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