Carrot White Paper
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  • CARROT NETWORK
  • documentation
    • Introduction
      • Recycling Systems Are Broken
      • Earth Limitations
      • From Linear to Circular
      • What is Zero Waste?
      • Extended Producer Responsibility
      • Carbon Markets: From Problem to Solution
      • Greenwash & ESG
      • Solution
    • The Product
      • Carrot Network
        • Creating Value
        • dMRV
        • Creating a Market
        • Demand-Side Market
        • Atomic Network
        • Methodology Creators
        • Ownership
        • Summary Diagram
      • Recycling Supply Chain
        • Reaching the Source of Waste Creation
        • Participants
        • Validators & SOs
        • Local vs Long Hauling
      • MassIDs: Codifying Waste
        • Participant Categories and Wallets
        • MassID Composition
        • MassID Notation
        • MassID Creation
        • MassID Splits
        • Waste Validation & Audits
        • Proof-of-Authority
        • Proof-of-Work & Provenance
      • Recycling Tokens
        • Minting TRCs
        • TCC (Carbon Credits)
          • GasID Creation
          • GasID Notation
          • Minting TCCs
          • Calculating GasIDs
          • GasIDs from Composting
          • TCCs from Composting
        • Carrot Registry (EPR/ESG)
        • $CARROT Distribution Model
          • Waste Source Not Identified
        • Carbon Credit Tokens from Composting
      • Tokenomics
        • Supply and Demand
        • AMM & LPs
        • $CARROT Stablecoins/Fiat
        • Burn-As-A-Service
        • Lending & Forwards
        • Carrot Ecosystem Fees
        • Carrot Incentive Mechanism
        • Tokenomics Conclusion
      • Value Proposition
        • Network Integrators
        • Producers (Credit Buyers)
        • Recyclers, Haulers & Processors
        • Waste Generators
        • Bin Custodians
        • State and Federal
        • Municipalities
        • Fund Managers
        • NGOs & Donors
        • Partners
        • External Service Providers (ESPs)
      • Closing the Loop
        • Proof-of-Recycled-Content
        • Product Composition
        • Local Recyclability
      • Product Roadmap
        • Product Decentralization
        • Protocol Selection
    • Governance
      • Carrot DAO
        • $CARROT Token Governance
        • Carrot Improvement Proposal Process
        • Carrot DAO Maintenance and Processes
        • Carrot Retroactive Funding
      • Progressive Decentralization
        • Incentives for Participation
        • 3 Phases of Decentralization
      • Security
        • Community Values
        • Community Guidelines
        • Holder Reputational System
    • The Carrot Foundation
      • Mission
      • Goals
      • Vision
      • $CARROT Allocation
      • $CARROT Supply
      • Treasury Reserve
      • Wallet Onboarding
      • The Genesis Team
      • Community Fund
      • Launch Strategy
      • NFT Auctions w/ Options
      • Stewards & Board
      • Advisors
      • Founders
    • Conclusion
      • Acknowledgements
    • Appendix
      • Formula comparison Between TRCs And TCCs
      • Formula for Project and Leakage Emissions From Composting
      • Formula For Baseline Emissions of CO2
      • CWIP Process (Extended)
      • Generating Reputational Metrics
      • Applying Reputational Metrics
      • Holder Reputational System Token Implementation
  • Carrot Methodologies
    • Glossary
    • Rewards Distribution Policy
    • BOLD Recycling Credit
    • BOLD Carbon (CH4)
  • More
    • Terms & Conditions
      • T&C of Use
      • T&C for Sales and Purchases of TRCs and TCCs
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  1. documentation
  2. The Product
  3. Recycling Tokens
  4. TCC (Carbon Credits)

Calculating GasIDs

As discussed before, to define a GasID the weight (w) or total avoided emissions of GHGs (AE) must be calculated. Again, the equation for this is as follows:

where..where.. where..
AE is the Total Avoided Emissions of GHGs from recycling mass (m) AE \: is\: the \:Total \:Avoided \:Emissions \:of\: GHGs\:from \:recycling \:mass \:(m) AEistheTotalAvoidedEmissionsofGHGsfromrecyclingmass(m)
BE is the Baseline Emissions of GHGs for when mass (m) is not recycledBE \: is \:the \:Baseline \:Emissions \:of \:GHGs\: for \:when \:mass \:(m) \:is \:not \:recycledBEistheBaselineEmissionsofGHGsforwhenmass(m)isnotrecycled
RE is the Real Emissions of GHGs from mass (m) when successfully recycledRE \:is \:the \:Real \:Emissions \:of \:GHGs\: from \:mass\: (m) \:when \:successfully \:recycledREistheRealEmissionsofGHGsfrommass(m)whensuccessfullyrecycled
AE=BE−REAE =BE-REAE=BE−RE

To understand this process let’s explore an example of calculating a GasID for a glass TRC originated in San Francisco, California municipality #1.

where...where...where...
TrSF1 is the example TRC of recycled glass materialTr_SF1 \: is\: the \:example\: TRC\: of\: recycled\: glass \:materialTrS​F1istheexampleTRCofrecycledglassmaterial
TrSF1={M0,M1,...,MN}Tr_SF1={\{M_0,M_1,...,M_N\}}TrS​F1={M0​,M1​,...,MN​}
and the equation of one MassID (e.g.M0)looks likeand \: the\: equation\: of \:one\: MassID \:(e.g.M_0) looks \:likeandtheequationofoneMassID(e.g.M0​)lookslike
M0={clear–glass,50kg,{...,San Francisco municipality 1Processor}}M_0= {\{ clear–glass,50 kg, {\{ ..., San \: Francisco\: municipality\: 1 Processor \}} }\}M0​={clear–glass,50kg,{...,SanFranciscomunicipality1Processor}}

The first step to finding the avoided emissions (AE) for TrSF1 Tr_SF1TrS​F1 is finding the baseline emissions (BE). In this instance, without recycling the glass there would have been GHG emissions from sources like the extraction of sand, transportation to factories, and preliminary processing. (Note, in a study conducted by the European Glass Federation replacing 100% of the virgin materials with recycled glass used in a glass bottling plant cuts CO2 emissions by approximately 58%[69]).

Zero Waste Auditors will work with the recycling entities in order to provide accurate CO2e baselines based on the type of material and location. These formulas are known by corporations from their supply chain cost calculations which auditors can then apply to the creation of GasIDs from TRCs of plastics, paper, glass, and more based on the unique impact of recycling these materials in each location. From this, we know the baseline emissions (BE).

For this example we will assume that the Zero Waste Auditors have informed us that 1 ton of clear-glass in TrSF1Tr_SF1 TrS​F1 produced from raw materials has a baseline GHG emissions of 500 kgs.

where..where.. where..
BE is the Baseline  Emissions of GHGs for when mass (m) used in production was not recycledBE \: is\: the \:Baseline \:\:Emissions \: of \:GHGs \:for\: when \:mass\: (m) \:used \:in\: production\: was \:not\: recycledBEistheBaselineEmissionsofGHGsforwhenmass(m)usedinproductionwasnotrecycled
BE=500 kgsBE=500 \:kgsBE=500kgs

The second step is to find the real emissions (RE). This variable is also provided by the Zero Waste Auditors through tracking the emissions from cullet recovery and repurposing it in the facility at San Francisco, municipality #1. Let’s assume that the real emissions (RE) of GHGs from TrSF1Tr_{SF1}TrSF1​, when successfully recycled is 210 kgs.

where..where.. where..
RE is the Real Emissions of GHGs from mass (m)when successfully recycledRE\: is\: the \:Real \:Emissions\: of \:GHGs\: from \:mass \:(m) when\: successfully\: recycledREistheRealEmissionsofGHGsfrommass(m)whensuccessfullyrecycled
RE=210 kgsRE=210 \: kgsRE=210kgs

Now, the avoided emissions (AE) can be calculated as follows:

where..where..where..
AE=BE−REAE =BE-REAE=BE−RE
AE=500 kgs−210 kgsAE =500 \:kgs-210 \:kgsAE=500kgs−210kgs
AE=290 kgsAE =290 \:kgsAE=290kgs
and as previously definedand \:as \:previously \:definedandaspreviouslydefined
where...where...where...
w is the weight (kg) of Total Avoided GHGs (AE) in the form of CO2ew \:is \:the \:weight \:(kg) \:of \:Total\: Avoided \:GHGs \:(AE) \:in\: the \:form\: of\: CO2ewistheweight(kg)ofTotalAvoidedGHGs(AE)intheformofCO2e
w=AEw=AEw=AE
which allows the GasID GSF1 from TSF1 to be defined aswhich \:allows \:the \:GasID \:G_SF1 \:from\: T_SF1\: to \:be \:defined \:aswhichallowstheGasIDGS​F1fromTS​F1tobedefinedas
GSF1={290 kgs,TSF1}G_SF1={\{290 \: kgs,T_SF1\}}GS​F1={290kgs,TS​F1}

GasIDs can be calculated in the same fashion for just about every other waste type (Plastic, Cardboard, Paper, Aluminum, etc.) at each recycling facility, using tools like the EPA’s WARM Model.. By measuring carbon emissions from supply chains and valuing the climate benefits that recycling brings to a circular economy, the Carrot Fndn will be able to incentivize recycling and eliminate tremendous amounts of waste and carbon emissions. Each Ton of recycled waste will be able to be tracked and GasID calculations will be available to all for transparency and continuous improvement.

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Last updated 1 year ago

For more information on the equation of a TRC see

For more information on the equation of a MassID see

69. FEVE: The European Glass Federation,

Minting TRCs
MassID Composition
Vision - Environment