Hypothetical extraction as a method of input-output economics is highly useful for analyzing the contribution to environmental footprints of specific industries, corporations, or intermediate products. Here, the method is derived in detail, based on a new paper published in the Journal of Industrial Ecology. https://onlinelibrary.wiley.com/doi/full/10.1111/jiec.13522
As an example, results for materials are presented from two additional papers published in Nature Geoscience and Environmental Science & Technology.
https://www.nature.com/articles/s41561-021-00690-8
https://doi.org/10.1021/acs.est.2c05857
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Making sense of industry carbon footprints - the role of supply chains and inter-industry demand.
1. Using the hypothetical extraction
method to understand the role of
materials
Edgar Hertwich
2. 2
Market balance and production balance
Hypothetical extraction as removal of transactions
Quantity and price model
Carbon footprint of materials results
Outline
3. 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
5. 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
6. 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. 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. 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. 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)
11. 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. 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. 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. 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. 15
Production volume to produce imports
External demand for extracted product
Market balance for the extracted
product
A*
Ao
A
y*
yo
To
T*
17. 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. 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
29. 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.
36. 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
#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