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Using the hypothetical extraction
method to understand the role of
materials
Edgar Hertwich
2
 Market balance and production balance
 Hypothetical extraction as removal of transactions
 Quantity and price model
 Carbon footprint of materials  results
Outline
3
Supply and Use Tables
System Definition
Industries
Commodity
markets
E
V
U
立
System boundary Flow vector Flow matrix
立  value added
V  industry supply
E  final demand
U  intermediate use
Pauliuk et al., https://doi.org/10.1111/jiec.12306
4
Input-output table
System definition
Industries
Commodity
markets
Y
x
Z

System boundary Flow vector Flow matrix
 factors, value added
x  total output
Y  final demand
Z  inter-industry flow
Pauliuk et al., https://doi.org/10.1111/jiec.12306
5
Input-output table
System definition
Pauliuk et al., https://doi.org/10.1111/jiec.12306
Industries
Commodity
markets
^
pY
^
p x
^
p A ^
x
^
 T ^
x
System boundary Flow vector Flow matrix
  factor use by industry
x  output by industry
Y  final demand for products
Z  inter-industry flow of products
T  factor use per unit industry
output
A  product use per unit industry
output
  factor price
p  product price
Industries
Commodity
markets
Y
x
Z

System boundary Flow vector Flow matrix
 factor use by industry
x  output by industry
Y  final demand for commodities
Z  inter-industry flow of
commodities
T  factor use per unit industry
output
A  commodity input per unit output
  factor price
p  product price
Industries
Commodity
markets
^
pY
^
p x
^
p A ^
x
^
 T ^
x
(a)
(b)
7
Market balance
yields Leontief demand-pull model
Industries
Commodity
markets
Y
x
Z

System boundary
  value added
x  total output
Y  final demand
Z  inter-industry flow
matrix
Inputs to each commodity market = Outputs from the commodity
market
8
Inputs to each commodity market = Outputs from the commodity market
Industries
Commodity
markets
^
pY
^
p x
^
p A ^
x
^
 T ^
x
System boundary
Flow vector
Flow matrix
  factor use by industry
x  commodity output by industry
Y  final demand for commodities
Z  inter-industry flow of
commodities
T  factor use per unit industry
output
A  commodity use per unit industry
output
  factor price
p  commodity price
Market balance
yields Leontief demand model
9
Industries
Commodity
markets
^
pY
^
p x
^
p A ^
x
^
 T ^
x
System boundary
Flow vector
Flow matrix
  factor use by industry
x  commodity output by industry
Y  final demand for commodities
Z  inter-industry flow of
commodities
T  factor use per unit industry
output
A  commodity use per unit industry
output
  factor price
p  commodity price
Production/firm/industry balance
yields Leontief price model
Cost of inputs to each industry = Value of outputs from the industry
(I-A)
10
11
Production of materials in IO
A y
T
Vector describes input per unit material
produced. These are complete inputs.
A Leontief demand pull calculation will
hence give a complete picture of inputs
per unit output.
https://doi.org/10.1038/s41561-021-00690-8
12
Use of materials in IO
A y
T
Materials are used throughout the
economy, including in the production of
materials.
So how much material is produced?
Danger of double counting.
What is the net demand for materials?
https://doi.org/10.1038/s41561-021-00690-8
13
Hypothetical extraction
A* y*
T
Delete/extract the rows in question.
What is production activity without the
inputs of the deleted rows??
Impact of the extracted product:
https://doi.org/10.1038/s41561-021-00690-8
14
Hypothetical extraction as import
is the volume of production
necessary to produce the product(s)
of interest (extracted products, target
products).
final demand for extracted products
intermediate demand for extracted
products to satisfy final demand for
remaining products.
A*
Ao
A
y*
yo
To
T*
15
Production volume to produce imports
External demand for extracted product
Market balance for the extracted
product
A*
Ao
A
y*
yo
To
T*
16
=
=
=
=
?
Series expansion:
17
Production balance
 price vector for goods
 price vector for factor
inputs
T  coefficient matrix of factor
inputs
 transpose of price vector
(row)
 equal factor costs
A*
Ao
A
y*
yo
To
T*
18
Production balance
Production costs of extracted
goods
Product costs of remaining
goods
A*
Ao
A
y*
yo
To
T* Costs of extracted inputs Costs of inputs from the
remaining economy
19

=介

=
(
)
Share of value added from extracted product
20
y
T
A
Cella (1984) - Linkages
A y
T T1
A11
y1
y2
A22
A12
A21
T2
Sectioning of the IO table
21
,






Market balance  quantity model
H
22




Leontief inverse in two parts
23
Cella  Linkages via hypothetical extraction
T1
A11 y1
y2
A22
T2
L =多
24
Cella - Linkages
T1
A11 y1
y2
A22
T2
Backward
linkages
Forward
linkages Backward linkages
Forward linkages
( H A12 L22 2
L22 A21 H A12 L22 2
)=
( 
L22 A21 H)12 22 2
 
=  

 
+
27
Supply chain impact method
T1
y2
A22
T2
L =多
Dente et al. (2018, 2019) and
Cabernad et al. (2019)
28
Production volume of a target sector
y2
A22
T2
Cabernad et al. (2019)
Production volume of a target sector
.. depends on how many
sectors are targeted
y2
A22
T2
30
Global Resources Outlook 2024
1. Increasing resources
use is the main driver for
the triple planetary crises.
Extraction & processing of
material resources accounts
for:
 >90% of impacts on land-use
related biodiversity loss
and water stress
 >55% of GHG emissions
 up to 40% of particulate
matter related pollution.
Work by Cabernard et al.
All sectors extracted at once.
32
33
Results
34
Increasing share of iron and steel
35
The first use of materials
36
Final demand stimulating material use
37
Final demand by region
38
 Hypothetical extraction and supply chain impact analysis
is very useful
 It can isolate the effect of specific sectors
 Provides insight into scope 3 emissions; usefulness of
footprinting for companies
 We have to be careful how we interpret the results
Conclusions
39
Material-related emissions
associated with trade
40
Including past emissions in todays
capital stock
41
Materials produced in Germany
42
First use of materials in Germany
43
Emitting sectors, Germany
44
Heatmap of material-related CF
45
Can efficiency outweigh affluency?
Can efficiency outweigh affluency?
Can efficiency outweigh affluency?
Can efficiency outweigh affluency?
Can efficiency outweigh affluency?

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Editor's Notes

  • #7: In the symmetric IO table , each industry is the exclusive supplier of a single commodity. The interpretation of the market balance is still the same: the total supply is equal to the sum of all demand, both intermediate and final.
  • #8: In the symmetric IO table , each industry is the exclusive supplier of a single commodity. The interpretation of the market balance is still the same: the total supply is equal to the sum of all demand, both intermediate and final.
  • #9: In the symmetric IO table , each industry is the exclusive supplier of a single commodity. The interpretation of the market balance is still the same: the total supply is equal to the sum of all demand, both intermediate and final.
  • #31: Extraction and processing of material resources (fossil fuels, minerals, non-metallic minerals and biomass) accounts for over 90% of impacts on land-use related biodiversity loss and water stress, over 55% of greenhouse gas emissions and up to 40% of particulate matter related pollution. Growing and harvesting biomass (agricultural crops and forestry) contributes over 90% of total land-use related biodiversity loss and water stress. All these impacts show an increasing trend.
  • #46: So, we are comparing 4 6-year periods from 1995 to 2018. And look at how the different drivers have impacted the emissions.
  • #47: These are aggregated embodied emissions for those 6 year periods.
  • #48: First period is dominated by increasing affluency. However, improved energy efficiency is a
  • #49: Things look a bit dire in the middle period
  • #50: Energy efficiency however does a strong comeback As well as metal consumption intensity