MATCGE

General Scope and Connection with Climate Mitigation

Introduction

We introduce a CGE model that endogenously includes physical flows subject to material balance constraints. We propose a new framework that more accurately describes the interaction between transaction values and material flows, and thereby becomes particularly relevant for the ex ante analysis of CE policies and autonomous developments.

Global economic/material model

The model structure is very generic and has the following structure: firms producing goods Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i \in I} , factors of production Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f \in F} , and households and institutions Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h \in H} . We have the following variables: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y_I} for output by firms (which equals sales and total production costs), where we may omit the subscript Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I} for convenience as we do not use the symbol Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y} for other agents. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X_{J,I}} for intermediates from firms Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle J} to firms Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I} , using the symbol Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle J} equivalently (alias) to Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I} . Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle L_{F,I}} is factor use by firms, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Omega_{F,H}} is supply by consumers. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C_{I,H}} is consumption by households, respectively. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T_{R/W}} is taxes on resource use or waste generation.

Model Scope

Our model is generic and include only one geographical region for now. It includdes intermediary deliveries, consumption (government and households), labour and investment. It can be used iteratively and a dynamically integrated version is under development.

The main specificity of our model is that material flows are endogenously adjusted. Underlying material flows are indexed Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m \in M} and are linked to economic flows through material intensities Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta_{m}} : Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X_{mij}=\theta^X_{m}X_{ij}} , Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C_{mih}==\theta^C_{m}C_{ih}} .

Material input is a natural resource in production: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_{mi}=\rho_{mi}Y_i} . Waste comes from consumption, capital depreciation and a share Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \epsilon} of material in production.

Note that it is possible to include as many materials Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m \in M} as needed.

Model Development

• Status:
• Environment:
• Documentation:
• Source code:

Circular Economy Features

This section provide the CE features of the model

Insights for Analytical Framework

This section should highlight the features relevant for the CIRCOMOD analytical framework. They should be linked with the previous section which provide more details.

• Key mechanisms and interactions within CE strategies that lead to changes in GHG emissions.
• Tool exploration (demonstrating ideas before implementing them in large-scale quantitative models)
• Communication key CE dynamics (to the broader audience)

Refinement, Integration, Future Development

The following sections are optional and should be completed only if they are relevant.

Refinement process

Please describe how the stylized model will be improved/refined in the CIRCOMOD project.

Integration

Highlight the features to be integrated in larger model in the CIRCOMOD project.

Future features of the model

Not yet implemented, planned model developments, if any.