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Calculate Z, K, C, D, A, B, and O matrices

Source: R/io.R
calc_A.Rd

These matrices define the IO structure of an energy conversion chain.

Usage

calc_A(
  .sutdata = NULL,
  direction = c("upstream", "demand", "Leontief", "downstream", "supply", "Ghosh"),
  R = "R",
  U = "U",
  U_feed = "U_feed",
  V = "V",
  Y = "Y",
  q = "q",
  f = "f",
  g = "g",
  r = "r",
  h = "h",
  Z = "Z",
  K = "K",
  C = "C",
  D = "D",
  A = "A",
  O = "O",
  Z_s = "Z_s",
  C_s = "C_s",
  D_s = "D_s",
  D_feed_s = "D_feed_s",
  B = "B",
  O_s = "O_s"
)

Arguments

.sutdata

a data frame of supply-use table matrices with matrices arranged in columns.

direction

A string that identifies the directionality of the IO matrices. See details. Default is "upstream".

R

resources (R) matrix or name of the column in .sutmats that contains same. Default is "R". R is an optional argument. If all of R is added to V, this argument can be left unspecified.

U

Use (U) matrix or name of the column in .sutmats that contains same. Default is "U".

U_feed

Feed portion of the use matrix (U_feed) or name of the column in .sutmats that contains same. Default is "U_feed".

V

Make (V) matrix or name of the column in .sutmatsthat contains same. Default is "V".

Y

Final demand (Y) matrix or name of the column in .sutmatsthat contains same. Default is "Y".

q

A q vector or name of the column in .sutmats that contains same. Default is "q".

f

An f vector or name of the column in .sutmats that contains same. Default is "r".

g

A g vector or name of the column in .sutmats that contains same. Default is "g".

r

An r vector or name of the column in .sutmats that contains same. Default is "r".

h

An h vector or name of the column in .sutmats that contains same. Default is "h".

Z

The name for the Z matrix on output. Default is "Z". Z is calculated by U * g_hat_inv.

K

The name for the K matrix on output. Default is "K". K is calculated by U * f_hat_inv.

C

The name for the C matrix on output. Default is "C". C is calculated by transpose(V) * g_hat_inv.

D

The name for the D matrix on output. Default is "D". D is calculated by V * q_hat_inv.

A

The name for the A matrix on output. Default is "A". A is calculated by Z * D.

O

The name for the O matrix on output. Default is "O". O is calculated by r_hat_inv * R.

Z_s

The name for the Z_s matrix on output. Default is "Z_s". Z_s is calculated by transpose(V) * f_hat_inv.

C_s

The name for the C_s matrix on output. Default is "C_s". C_s is calculated by U * f_hat_inv.

D_s

The name for the D_s matrix on output. Default is "D_s". D_s is calculated by transpose(U) * q_hat_inv.

D_feed_s

The name for the D_feed_s matrix on output. Default is "D_feed_s". D_s is calculated by transpose(U_feed) * q_hat_inv.

B

The name for the B matrix on output. Default is "B". B is calculated by Z_s * D_s.

O_s

The name for the O_s matrix on output. Default is "O_s". O is calculated by q_hat_inv * Y.

Value

A list or data frame containing Z, K, C, D, A, and O matrices or Z_s, C_s, D_s, D_feed_s, B, and O_s matrices, depending on the value of direction.

Details

Input-output matrices can be calculated for either an upstream swim (demand-sided as Leontief) or a downstream swim (supply-sided as Ghosh). The direction argument defines the direction. Different IO matrices are calculated based on direction. The default is "upstream", meaning that an upstream swim is desired. Note that "upstream", "demand", and "Leontief" are synonyms. "downstream", "supply", and "Ghosh" are synonyms.

For direction = "upstream", Z, K, C, D, A, and O matrices are calculated. For direction = "downstream", Z_s, C_s, D_s, D_feed_s, B, and O_s matrices are calculated.