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Partition: BEA Make-Use

The first step in the build stream involves partitioning BEA supply/use data into parameters by filtering this data based on sectors and goods. Generally, BEA input (i) maps to goods (g), and BEA output (j) maps to sectors (s).

SLiDE.partition_bea — Function
partition_bea(dataset::Dataset, d::Dict, set::Dict; kwargs...)

Arguments

  • dataset::Dataset identifier
  • d::Dict of model parameters
  • set::Dict of Arrays describing parameter indices (years, regions, goods, sectors, etc.)

Returns

  • d::Dict of model parameters
  • set::Dict of Arrays describing parameter indices (years, regions, goods, sectors, etc.)
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SLiDE._partition_io! — Function

ys0(yr,s,g), sectoral supply (with byproducts), and id0(yr,g,s), intermediate input demand

Filter from supply/use data:

\[\begin{aligned} \tilde{id}_{yr,s,} = \left\{{use}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, s \in j \right\} \\ \tilde{ys}_{yr,s,g} = \left\{{supply}\left(yr,j,i\right) \;\vert\; yr,\, s \in j,\, g \in i \right\} \end{aligned}\]

Treat negative inputs as outputs:

\[\begin{aligned} \tilde{ys}_{yr,s,g} &= \tilde{ys}_{yr,s,g} - \min\left\{0, \tilde{id}_{yr,g,s} \right\} \\ \tilde{id}_{yr,g,s} &= \max\left\{ 0, \tilde{id}_{yr,s,g} \right\} \end{aligned}\]

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Use

SLiDE._partition_ts0! — Function

ts(yr,ts,s), taxes and subsidies

\[\tilde{ts}_{yr,ts,s} = \left\{{use}\left(yr,i,j\right) \;\vert\; yr,\, ts \in i,\, s \in j \right\}\]

Treat negative inputs as outputs:

\[\tilde{ts}_{yr,ts,s} = - \tilde{ts}_{yr,ts,s} \;\forall\; ts = subsidies\]

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SLiDE._partition_va0! — Function

va(yr,va,s), value added

\[\tilde{va}_{yr,va,s} = \left\{{use}\left(yr,i,j\right) \;\vert\; yr,\, va \in i,\, s \in j \right\}\]

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SLiDE._partition_x0! — Function

x(yr,g), exports of goods and services

\[\tilde{x}_{yr,g} = \left\{{use}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, exports \in j \right\}\]

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SLiDE._partition_fd! — Function

fd(yr,g,fd), final demand, and fs(yr,g), household supply

\[\begin{aligned} \tilde{fd}_{yr,g,fd} &= \left\{{use}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, fd \in j \right\} \\ \tilde{fs}_{yr,g} &= \left\{\tilde{fd}_{yr,g,fd} \;\vert\; yr,\, g \in i,\, fd = pce \right\} \end{aligned}\]

\[\begin{aligned} \tilde{fs}_{yr,g} &= - \min\left\{0, \tilde{fs}_{yr,g} \right\} \\ \tilde{fd}_{yr,g,fd} &= \max\left\{0, \tilde{fd}_{yr,g,fd} \right\} \end{aligned}\]

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Calculate aggregates

SLiDE._partition_a0! — Function

a(yr,g), Armington supply

\[\tilde{a}_{yr,g} = \sum_{fd}\tilde{fd}_{yr,g,fd} + \sum_{s}\tilde{id}_{yr,g,s}\]

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Supply

Make insurance adjustments.

SLiDE._partition_cif0! — Function

cif(yr,g), CIF/FOB Adjustments on Imports

\[\tilde{cif}_{yr,g} = \left\{{supply}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, j = ciffob \right\}\]

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SLiDE._partition_m0! — Function

m(yr,g), imports

\[\tilde{m}_{yr,g} = \left\{{supply}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, j = imports \right\}\]

Adjust transport margins according to CIF/FOB adjustments:

\[\tilde{m}_{yr,g} = \tilde{m}_{yr,g} + \tilde{cif}_{yr,g} \;\forall\; g = ins\]

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SLiDE._partition_trn0! — Function

trn(yr,g), transportation costs

\[\tilde{trn}_{yr,g} = \left\{{supply}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, j = trncost \right\}\]

\[\tilde{trn}_{yr,g} = \tilde{m}_{yr,g} + \tilde{cif}_{yr,g} \;\forall\; g \neq ins\]

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Calculate margin supply and demand.

SLiDE._partition_mrg0! — Function

mrg(yr,g), trade margins

\[\tilde{mrg}_{yr,g} = \left\{{supply}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, j = margins \right\}\]

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SLiDE._partition_md0! — Function

md(yr,m,g), margin demand

\[\begin{aligned} \tilde{md}_{yr,m,g} &= \begin{cases} \tilde{mrg}_{yr,g} & m = trd \\ \tilde{trn}_{yr,g} & m = trn \end{cases} \\ \tilde{md}_{yr,m,g} &= \max\left\{0, \tilde{md}_{yr,m,g} \right\} \end{aligned}\]

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SLiDE._partition_ms0! — Function

ms(yr,g,m), margin supply

\[\begin{aligned} \tilde{ms}_{yr,g,m} &= \begin{cases} \tilde{mrg}_{yr,g} & m = trd \\ \tilde{trn}_{yr,g} & m = trn \end{cases} \\ \tilde{ms}_{yr,g,m} &= \max\left\{0, -\tilde{ms}_{yr,g,m} \right\} \end{aligned}\]

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SLiDE._partition_y0! — Function

y(yr,g), gross output "Move household supply of recycled goods into the domestic output market from which some may be exported. Net out margin supply from output."

\[\tilde{y}_{yr,g} = \sum_{s}\tilde{ys}_{yr,s,g} + \tilde{fd}_{yr,g} - \sum_{m}\tilde{ms}_{yr,g,m}\]

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Calculate import tariffs.

SLiDE._partition_tax0! — Function

tax(yr,g), taxes on products

\[\tilde{tax}_{yr,g} = \left\{{supply}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, j = tax \right\}\]

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SLiDE._partition_sbd0! — Function

sbd(yr,g), subsidies on products

\[\tilde{sbd}_{yr,g} = \left\{{supply}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, j = subsidies \right\}\]

Treat negative inputs as outputs:

\[\tilde{sbd}_{yr,g} = - \tilde{sbd}_{yr,g}\]

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SLiDE._partition_ta0! — Function

ta(yr,g), import tariff

\[\tilde{ta}_{yr,g} = \frac{\tilde{tax}_{yr,g} - \tilde{sbd}_{yr,g}}{\tilde{a}_{yr,g}}\]

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Calculate tax rate on intermediate demand.

SLiDE._partition_duty0! — Function

duty(yr,g), import duties

\[\tilde{duty}_{yr,g} = \left\{{supply}\left(yr,i,j\right) \;\vert\; yr,\, g \in i,\, j = duties \right\}\]

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SLiDE._partition_tm0! — Function

tm(yr,g), tax net subsidy rate on intermediate demand

\[\tilde{tm}_{yr,g} = \frac{\tilde{duty}_{yr,g}}{\tilde{m}_{yr,g}}\]

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