• WITCH documentation
  • 1 Introduction
  • 2 The WITCH model
    • 2.1 General Framework
      • 2.1.1 Methodology and features
      • 2.1.2 Policy Applications
    • 2.2 Model scope
      • 2.2.1 Energy Sector
      • 2.2.2 Land Use Sector
      • 2.2.3 Greenhouse gases and air pollutants
      • 2.2.4 Regions
      • 2.2.5 Coalitions
      • 2.2.6 Time horizon
  • 3 The Economy
    • 3.1 Welfare function
      • 3.1.1 Utility function
      • 3.1.2 Welfare of coalitions
    • 3.2 The general economy
      • 3.2.1 Consumption
      • 3.2.2 Output
      • 3.2.3 Capital
      • 3.2.4 Energy Services
      • 3.2.5 Energy
    • 3.3 Calibration of future Productivity and Energy Demand
      • 3.3.1 Population
      • 3.3.2 Total Factor Productivity
      • 3.3.3 Energy Intensity
  • 4 The Energy sector
    • 4.1 Energy supply
      • 4.1.1 Electric energy technology sectors
      • 4.1.2 Capital accumulation for electric energy technology sectors
      • 4.1.3 Production in electric sector
      • 4.1.4 Additional constraints in the electric sector
      • 4.1.5 Non-electric energy sectors
      • 4.1.6 Primary Energy Supply of Fuels
    • 4.2 Research and Development
      • 4.2.1 Knowledge stock in backstop technologies, electric batteries, and energy efficiency
      • 4.2.2 Two-Factor Learning Curve
      • 4.2.3 One-Factor Learning Curve
    • 4.3 Solar power
      • 4.3.1 Competition area
    • 4.4 Wind power
    • 4.5 System integration
      • 4.5.1 Flexibility constraint
      • 4.5.2 Capacity constraint
      • 4.5.3 Electrical grid
    • 4.6 Advanced bio-fuels (non-electric backstop technology)
    • 4.7 Carbon capture and storage (CCS)
      • 4.7.1 Technologies
      • 4.7.2 Transport and storage
    • 4.8 Traditional Biomass
    • 4.9 Road transport
      • 4.9.1 Number of Vehicles
      • 4.9.2 Kilometre Demand and Fuel Consumption
      • 4.9.3 Cost of Vehicles
      • 4.9.4 Technology Restrictions and Constraints
  • 5 Fossil Fuel Resources
    • 5.1 Oil extraction
      • 5.1.1 Oil production
      • 5.1.2 Extraction capacity
      • 5.1.3 Emissions from Oil extraction
    • 5.2 Coal and Gas: extraction and trade
      • 5.2.1 Fossil fuel availability curves
  • 6 Land-use
    • 6.0.1 Livestock
    • 6.0.2 Land use
    • 6.0.3 Crop yields
    • 6.0.4 Nitrogen fertilizers
    • 6.0.5 Pasture productivity
    • 6.0.6 Food wastes and agricultural losses
    • 6.1 Link with the WITCH model
  • 7 Emissions and the climate
    • 7.1 Greenhouse gas emissions
      • 7.1.1 CO2 emissions
      • 7.1.2 Other greenhouse gas emissions
      • 7.1.3 Emission costs
    • 7.2 Climate module
      • 7.2.1 Carbon-cycle
      • 7.2.2 Accumulation of non-CO2 ghg in the atmosphere
      • 7.2.3 Radiative Forcing
      • 7.2.4 Global temperature increase from pre-industrial levels
    • 7.3 Air pollutant emissions
      • 7.3.1 Air pollution Policies
  • 8 Impacts and Adaptation
    • 8.1 Economic impacts from climate change
      • 8.1.1 Calibration
    • 8.2 Adaptation
      • 8.2.1 Calibration of adaptation costs
  • 9 Climate Policy
    • 9.1 Policy Options
      • 9.1.1 Carbon market clearing
      • 9.1.2 Bank and borrowing
  • 10 Implementation of the SSPs
    • 10.1 Implementation of the Shared Socioeconomic Pathways (SSPs)
      • 10.1.1 Gross Domestic Product (GDP) and Population
      • 10.1.2 Energy Intensity
      • 10.1.3 Land-use
      • 10.1.4 Technology
      • 10.1.5 Personal transport
      • 10.1.6 Air pollutant emissions
      • 10.1.7 Fossil Fuel Resources
      • 10.1.8 Adaptation
    • 10.2 Results for the Shared Socioeconomic Pathways (SSPs)
      • 10.2.1 Energy
      • 10.2.2 Emissions
      • 10.2.3 Policy costs
  • 11 Appendix
    • 11.1 Flowchart
    • 11.2 List of parameters, variables, GAMS names, and parameter values
  • References
  • The WITCH model

WITCH documentation

6.1 Link with the WITCH model

The major interaction with the core of the WITCH model comes from the woody biomass supply curve which is one of the out coming from the GLOBIUM model. The supply curves, representing a mapping from production of woody biomass levels to production cost, are provided for each time period and for each shared socio-economic scenario. Moreover, the supply curves are also dependent of the price of land-use related CO2 emissions.

\[ COST_{wbio} = f_{t}(Q_{wbio},P_{CO2}) \]