# GHG quantification

Calculations of GHG emissions for the baseline and project scenarios shall follow a robust, recognized method and good practice guidance. The overall methodological approach is a comparative life cycle assessment (LCA) at the project-scale, based on [ISO 14064-2:2019](#user-content-fn-1)[^1].

This methodology shall be used in conjunction with the Rainbow modules listed below. **Modules are like mini-methodologies** that only cover a part of the project life-cycle. Combining the relevant modules for a project results in a complete picture of the required data, calculations, monitoring plans, and other information needed for a full GHG quantification.

<table data-view="cards"><thead><tr><th></th><th data-hidden data-card-target data-type="content-ref"></th><th data-hidden data-card-cover data-type="image">Cover image</th></tr></thead><tbody><tr><td>Processing and energy use</td><td><a href="/pages/BTxxPIM3a4Nai1Wkwu2Y">/pages/BTxxPIM3a4Nai1Wkwu2Y</a></td><td><a href="/files/xqDoBuMbX7fcBqJ8AanC">/files/xqDoBuMbX7fcBqJ8AanC</a></td></tr><tr><td>Transportation</td><td><a href="/pages/VTWdCc7guKu1x0azAizi">/pages/VTWdCc7guKu1x0azAizi</a></td><td><a href="/files/XAxrYlLSh0qtvbDkKkqp">/files/XAxrYlLSh0qtvbDkKkqp</a></td></tr><tr><td>Infrastructure and machinery</td><td><a href="/pages/IwqpSqlee22qTIPti3Sl">/pages/IwqpSqlee22qTIPti3Sl</a></td><td><a href="/files/gE6Zo8o6awA0p9LnSTnF">/files/gE6Zo8o6awA0p9LnSTnF</a></td></tr></tbody></table>

**GHG quantification shall be done separately for each biochar** [**Production Batch**](#user-content-fn-2)[^2], since each batch by definition has distinctly measured biochar carbon characteristics. The GHG quantification results of multiple Production Batches may be combined for one monitoring period.

## System boundary

The system boundary of this quantification section starts at the procurement of biomass feedstock, and ends at the biochar end of life, after accounting for decay and re-emission in its end use application. Biomass feedstock production impacts are excluded because biomass is required to be waste or invasive species, and therefore not allocated any production or cultivation emissions. The system boundary includes the following key steps, also displayed in Figure 1:

* biomass collection
* biomass transport to the kiln
* biomass processing (including but not limited to drying and chipping)
* energy used to start the kiln (including high-quality wood, and any associated leakage emissions)
* energy used to combust methane emissions within the reactor
* embodied emissions from manufacturing the kilns, including their shipping to the pyrolysis site and end of life waste treatment
* methane emissions from the pyrolysis process
* biochar transport to the site of use

<figure><img src="/files/rOSKGxO5AUAL4Li8oReq" alt=""><figcaption><p>Figure 1 The system boundary of the distributed biochar quantification is summarized. Processes are grouped and color-coded according to the section below where they are described in detail.</p></figcaption></figure>

Any steps that are fully manual do not incur any GHG emissions. Any steps that would have occurred anyway in the baseline scenario shall be excluded from the system boundary.

The following high-level equations shall be used to calculate carbon removals from distributed biochar projects.

<details>

<summary><strong>Calculations:</strong> Removals</summary>

$$\textbf{(Eq.1)}\ Net\ Removal = R\_{baseline}-R\_{project}-E\_{project}$$

where,

* $$Net\ Removal$$ represents the net removals from the project during the monitoring period, in tonnes of CO$$\_2$$eq. Its sign is positive.
* $$R\_{baseline}$$ represents any baseline GHG removals, representing permanent storage that would have occurred in the absence of the project, in tonnes of CO$$\_2$$eq. Its sign is negative. Its value is zero, as outlined in the [baseline scope](/methodologies/distributed-closed-kiln-biochar/eligibility-and-scope.md#baseline-scope) section.
* $$R\_{project}$$ represents the project's gross GHG removals, in tonnes of CO$$\_2$$eq. Its sign is negative.
* $$E\_{project}$$ represents the project's total induced GHG emissions across the project life cycle, in tonnes of CO$$\_2$$eq. Its sign is positive.

$$\textbf{(Eq.2)}\ E\_{project} = {E}*{project,\ leakage} + E*{project,\ methane}+ {E}*{Transport,\ total}+ E*{infra,\ machinery} + E\_{project,\ processing}$$

where,

* $$E\_{project}$$ was described in Eq. 1.
* $$E\_{project,\ leakage}$$ represents the project's GHG emissions from leakage from use of biomass.
* $$E\_{project,\ methane}$$ represents the total methane emissions from pyrolysis, in tCO$$\_2$$eq, calculated in the [Pyrolysis process](#pyrolysis-process) section below.
* $${E}\_{Transport,\ total}$$ represents the project's GHG emissions from the [Transportation](/modules/transportation.md) module, including the energy use and embodied emissions involved in transporting all input and output materials.
* $$E\_{infra,\ machinery}$$ represents the total emissions from the [Infrastructure and machinery](/modules/infrastructure-and-machinery.md) module allocated to the project for the monitoring period.
* $$E\_{project,\ processing}$$ represents the total emissions from other inputs and outputs calculated in the [Processing and energy use](/modules/processing-and-energy-use.md) module.

***

GHG quantification is performed for each Production Batch, based on the amount of biochar produced, but removal Rainbow Carbon Credits (RCCs) are issued on the basis of biochar delivery and application in an eligible end use. The following equation is used to determine the number of RCCs to issue per monitoring period, accounting for **a potential delay in biochar use after production**. See the [Functional unit](#kpxsamb8logm) section for more details.

$$\textbf{(Eq.3)}\ Removal\ RCCs= \frac{Net\ removal}{tonne\ or\ m^3\ biochar\ produced} \times tonne\ or\ m^3\ biochar\ delivered$$

Where

* $$Removal\ RCCs$$ represents the number of removal credits to be issued at the end of the monitoring period.
* $$Net\ removal$$ was calculated in Eq. 1.
* $$tonne\ or\ m^3\ biochar\ produced$$ represents the amount of **biochar produced** in the entire Production Batch. Project Developers may choose whether to report it by mass or volume, in tonnes or in m<sup>3</sup> of biochar.
* $$tonne\ or\ m^3\ biochar\ delivered$$ represents the amount of **biochar delivered in an eligible end use** in the monitoring period, for the given Production Batch. It must be reported in the same units as for the $$tonne\ or\ m^3\ biochar\ produced$$ variable.

</details>

## Functional unit <a href="#kpxsamb8logm" id="kpxsamb8logm"></a>

The functional unit shall be **1 tonne of biochar produced** or **1 m**<sup>**3**</sup>**&#x20;of biochar produced**, depending on the project's chosen measurement method for the [Biochar amount produced](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md#biochar-amount-produced).

Input data shall be provided for all processes related to biochar production in the given Production Batch, and net project removals are first calculated for **all processes across the entire duration of the Production Batch**.

This is normalized to net removals per functional unit by **dividing by the amount of biochar produced** in the Production Batch.

The number of credits to issue in the given monitoring period is calculated by multiplying the amount of biochar applied in an eligible end use, by the net removals per tonne or m<sup>3</sup> of biochar produced.

This approach is detailed in Eq. 3 above.

## Data sources <a href="#kpxsamb8logm" id="kpxsamb8logm"></a>

The required **primary data for GHG calculations** from projects are presented in Table 1. These data shall be **aggregated for all kiln runs within a** **Production Batch**, after being measured and reported in dMRV at the frequencies summarized in the [Monitoring](/methodologies/distributed-closed-kiln-biochar/principles-and-requirements.md#monitoring) section, and made publicly available.

Note that the table **does not include all information needed for project monitoring and verification: only the data inputs for ongoing GHG quantification**. The full list of information is provided in the minimum requirements for a [Monitoring Plan](broken://pages/kRkqwDGuCJMBhsZ0VuaV#monitoring).

*Table 1 Summary of primary data needed from projects and their source for GHG quantification. All primary data sources listed here are required to be monitored and updated during verification. \*Note that only one approach is required for reporting transport data. See the* [*Transportation module*](/modules/transportation.md) *for more details. \*\*See the* [*Infrastructure and machinery*](/modules/infrastructure-and-machinery.md#ghg-quantification) *module for more details.*

<table><thead><tr><th width="160.6605224609375">Category</th><th width="209.40625">Parameter</th><th width="159.3359375">Unit</th><th>Source</th></tr></thead><tbody><tr><td>General, credit issuance</td><td>Volume or mass of biochar delivered in permanent end use</td><td>m<sup>3</sup> or tonnes of biochar</td><td>Measured onsite, dMRV</td></tr><tr><td>Carbon storage</td><td>Volume or mass of biochar produced</td><td>m<sup>3</sup> or tonnes of biochar</td><td>Measured onsite, dMRV</td></tr><tr><td>Carbon storage</td><td>Bulk density of biochar (<em>only if using volume</em>)</td><td>tonne of biochar/m<sup>3</sup></td><td>Measured onsite, dMRV</td></tr><tr><td>Carbon storage</td><td>Biochar moisture content (<span class="math">M_{\text{%}}</span>) (<em>only if using mass</em>)</td><td>Percent</td><td>Elemental analysis by accredited laboratory</td></tr><tr><td>Carbon storage</td><td>Biochar <span class="math">H/C_{\text{org}}</span></td><td>Ratio</td><td>Elemental analysis by accredited laboratory</td></tr><tr><td>Carbon storage</td><td>Biochar organic carbon content</td><td>Percent</td><td>Elemental analysis by accredited laboratory</td></tr><tr><td>Carbon storage</td><td>Fraction of <span class="math">R_{O}</span><br>distribution measurements above 2% (<em>only if using 1000-year approach</em>)</td><td>Fraction</td><td>Analysis by accredited laboratory</td></tr><tr><td>Carbon storage</td><td>Residual organic carbon (<span class="math">C_{org,\ f\ residual}</span>) (<em>only if using 1000-year approach</em>)</td><td>Fraction</td><td>Analysis by accredited laboratory</td></tr><tr><td>Carbon storage</td><td><a data-footnote-ref href="#user-content-fn-3">GPS coordinates </a>of biochar spreading sites (for determining soil temperature)</td><td>coordinates</td><td>dMRV</td></tr><tr><td>Biomass leakage</td><td>Carbon sequestration rate (<em>or use default 0.5%)</em></td><td>Percent</td><td>Secondary literature, models</td></tr><tr><td>Pyrolysis process</td><td>Methane emissions rate</td><td>g CH<sub>4</sub>/kg dry biochar</td><td>Analyses from accredited independent provider</td></tr><tr><td>Pyrolysis process</td><td>Energy or wood for starting pyrolysis (amount and type)</td><td>MJ, kWh, liters fuel, kg wood</td><td>Measured onsite, dMRV</td></tr><tr><td>Pyrolysis machinery</td><td><p>Item and material type, material amount,</p><p>item lifetime**</p></td><td><ul><li>kg, tonne, m<sup>3</sup></li><li>years</li><li>e.g. kiln made of 80 kg steel for 5 years</li></ul></td><td>Technical specifications, bill of materials, invoices</td></tr><tr><td>Transport of biomass</td><td>Distance biomass transported by motorized vehicle*</td><td>km</td><td>Operational records, conservative justified estimates</td></tr><tr><td>Transport of biomass</td><td>Weight of biomass transported*</td><td>tonne</td><td>Operational records, conservative justified estimates</td></tr><tr><td>Transport of biomass</td><td>Vehicle type for biomass transport*</td><td>category</td><td>Operational records, conservative justified estimates</td></tr><tr><td>Transport of biomass</td><td>Fuel quantity consumed for biomass transport*</td><td>liters fuel</td><td>Operational records, conservative justified estimates</td></tr><tr><td>Transport of biochar</td><td>Distance biochar transported by motorized vehicle*</td><td>km</td><td>Operational records, conservative justified estimates</td></tr><tr><td>Transport of biochar</td><td>Weight of biochar transported*</td><td>tonne</td><td>Operational records, conservative justified estimates</td></tr><tr><td>Transport of biochar</td><td>Vehicle type for biochar transport*</td><td>category</td><td>Operational records, conservative justified estimates</td></tr><tr><td>Transport of biochar</td><td>Fuel quantity consumed for biochar transport*</td><td>liters fuel</td><td>Operational records, conservative justified estimates</td></tr></tbody></table>

The [ecoinvent database](#user-content-fn-4)[^4] version 3.12 (hereafter referred to as ecoinvent) shall be the main source of emission factors unless otherwise specified. Ecoinvent is preferred because it is traceable, reliable, and well-recognized. The ecoinvent processes selected are detailed in [Appendix 1](#appendix).

No other secondary data sources are used in this methodology.

## Assumptions

1. All biochar from the same Production Batch has the same characteristics (e.g. $$M\_{\text{%}}$$, $$H/C\_{\text{org}}$$...).
2. All biochar made from the same feedstock has the same methane emission rate from pyrolysis.
3. The permanent carbon sequestration rate from biomass leakage, where the alternate fate is being left on the field to decompose, is at least 0.5%.

## Baseline scenario <a href="#ly65klblzpa9" id="ly65klblzpa9"></a>

There is no baseline because it is assumed that there is no significant share of the project activity already occurring in business-as-usual. Therefore, the baseline for removal credits is zero and is omitted from calculations.

According to the [Rainbow Standard Rules](/rainbow-standard-documents/rainbow-standard-rules/project-and-baseline-scope.md#updating-the-baseline), this assumption shall be re-assessed at a minimum every 5 years, and any changes to this assumption would be [applied to existing projects](/rainbow-standard-documents/procedures-manual/project-certification-procedure.md#compliance-and-project-updates).

## Project scenario <a href="#i4figd8ytjua" id="i4figd8ytjua"></a>

### Biomass leakage

{% hint style="info" %}
This section is only required if the feedstock's alternative use was to be **left on the soil or reapplied to soils for nutrient recycling**. This includes but is not limited to:

* mulching
* composting
* spreading fast-decaying cellulose-based residues (e.g. decay within 5 years)
  {% endhint %}

Project leakage shall account for permanent carbon storage that would have occurred anyway in the absence of the project.

Although most biomass carbon would be released before the project's permanence horizon, a small fraction may be stabilized permanently as soil carbon. This portion is counted as leakage and deducted from the project's carbon removal capacity.

The uncertainty around biomass carbon being 1) naturally incorporated into the soil and 2) converted to a stable carbon form is high, influenced by factors such as climate, soil type, soil health, and land use, making it hard to estimate for individual projects. Thus, it is assumed that a default **0.5% of the carbon in the biomass feedstock** left on the soil, or reapplied to soil, will be permanently stored in soils.

Project Developers may conduct a project-specific assessment and provide a different carbon sequestration rate, but the final rate used in calculations shall be 0.5% or higher.

#### Biomass diversion and replacement

Leakage associated with the diversion and replacement of the biomass from its alternative use shall be quantified for each biomass used.

Project Developers shall follow the [Alternative use](/methodologies/distributed-closed-kiln-biochar/principles-and-requirements.md#alternative-use) and [Biomass diversion and replacement](/methodologies/distributed-closed-kiln-biochar/principles-and-requirements.md#biomass-diversion-and-replacement) guidelines in the Leakage section to determine the type and amount of replacement/substitute product or process.

Project Developers shall provide a conservative and representative emission factor for the production and use of the replacement product.

<details>

<summary><strong>Calculations:</strong> Biomass leakage, biomass amount, biochar amount</summary>

$$\textbf{(Eq.4)}\ {E}*{project\ leakage}= E*{CF\ carbon\ storage}+ E\_{replacement}$$

Where,

* $$E\_{CF\ carbon\ storage}$$ represents the biomass leakage from the monitoring period, in tCO$$\_2$$eq. This value shall be applied to Equation 2.
* $$E\_{CF\ carbon\ storage}$$ represents the permanent carbon removal in the baseline scenario in the monitoring period, in tCO$$\_2$$eq.
* $$E\_{replacement}$$ represents the leakage emissions from the diversion of biomass and replacement of its substitute, in tCO<sub>2</sub>eq.

$$\textbf{(Eq.5)}\ E\_{CF\ carbon\ storage}= A\_{biomass}\times C\_{biomass} \times S\_{biomass} \times C\ to\ {CO}\_{2}$$

Where,

* $$E\_{CF\ carbon\ storage}$$ was described in Equation 4.
* $$A\_{biomass}$$ represents the amount of biomass feedstock used in the monitoring period, in tonnes of dry matter. It may be **weighed directly** and converted to dry mass using biomass moisture content measurement&#x73;**, or calculated** using Eq. 6 below
* $$C\_{biomass}$$ represents the concentration of carbon in the biomass feedstock, in tonnes of carbon per tonne of dry matter. This value may come from secondary sources.
* $$S\_{biomass}$$ represents the permanent sequestration rate of carbon applied to soils, which may be provided by the Project Developer from secondary sources, but shall be at least 0.5%, as described in the [Assumptions ](#id-4l7lx2ihb6hj)section.
* $$C\ to\ {CO}\_{2}$$ is 44/12 = 3.67, and represents the molar masses of CO$$\_2$$ and carbon respectively, and is used to convert tonnes of carbon to tonnes of CO$$\_2$$eq.

$$\textbf{(Eq.6)}\ A\_{biomass} = A\_{biochar} \div CF\_{biomass\ to\ biochar}$$

Where,

* $$A\_{biomass}$$ was described in Eq. 5.
* $$A\_{biochar}$$ represents the amount of biochar produced during the monitoring period, in tonnes of dry biochar. It shall be calculated using either Equation 7, 8, or 9, depending on the project's chosen [biochar amount measurement method](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md#amount-of-biochar-produced).
* $$CF\_{biomass\ to\ biochar}$$ represents the biomass to biochar conversion factor, as tonnes fresh biomass input $$\div$$ tonnes dry biochar output. It may be taken from secondary sources or measured for each project, as detailed in the [Sampling and measurements](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md#amount-of-biomass-used) section.

$$\textbf{(Eq.7)}\ A\_{biochar} = V \* BD\_{fresh}\*(1-M\_{fresh%})$$

where,

* $$A\_{biochar}$$ represents the amount of biochar produced during the monitoring period, in tonnes of dry biochar.
* $$V$$ represents the volume of biochar produced in m<sup>3</sup>.
* $$BD\_{fresh}$$ represents the bulk density of fresh biochar (as opposed to dry biochar), considering the mass of fresh biochar, in tonnes biochar/m<sup>3</sup>.
* $$M\_{fresh%}$$ represents the moisture content of fresh biochar, on a weight basis (%w/w), so $$1-M\_{fresh%}$$ converts to dry mass of biochar.

$$\textbf{(Eq.8)}\ A\_{biochar} = mass\_{fresh}\*(1-M\_{fresh%})$$

where,

* $$A\_{biochar}$$ represents the amount of biochar produced during the monitoring period, in tonnes of dry biochar.
* $$mass\_{fresh}$$ represents the mass of fresh or quenched biochar directly measured with scales at each kiln, in tonnes.
* $$M\_{fresh%}$$ represents the moisture content of fresh biochar, on a weight basis (%w/w), so $$1-M\_{fresh%}$$ converts to dry mass of biochar.

$$\textbf{(Eq.9)}\ A\_{biochar} = mass\_{bone\ dry}$$

where,

* $$A\_{biochar}$$ represents the amount of biochar produced during the monitoring period, in tonnes of dry biochar.
* $$mass\_{bone\ dry}$$ represents the mass of dry biochar directly measured with scales at each kiln, in tonnes. Since it is measured on biochar immediately after exiting the kiln, it is assumed to be bone dry (i.e. 0% moisture content).

$$\textbf{(Eq.10)}\ E\_{replacement}=A\_{biomass}*F\_{conversion}* EF\_{alternative \ use}$$

where,

* $$E\_{replacement}$$ was described in Equation 4.
* $$A\_{biomass}$$ was calculated in Eq. 5.
* $$F\_{conversion}$$ represents a conversion factor for biomass replacement of its substitute.
* $$EF\_{alternative \ use}$$ represents the conservative and representative emission factor for the replacement product of the biomass, in tCO<sub>2</sub>eq/appropriate unit.

</details>

### Biomass processing

The Rainbow [Processing and energy use](/modules/processing-and-energy-use.md) module shall be used to quantify the emissions from energy or material use for preparing biomass for pyrolysis. This includes but is not limited to drying and chipping biomass.

### Transport of biomass and biochar

If biomass is transported to a pyrolysis site, or biochar is transported to its end-use point, using **a vehicle that is not manually powered**, transport emissions shall be accounted for using the [Transportation module](/modules/transportation.md) to calculate $${E}\_{Transport,\ total}$$ used in Eq. 2.

For this distributed small-scale technology type, it is expected that direct proof of transport will be unavailable (e.g., distance transported or fuel use during delivery). Therefore, Project Developers may provide **justified and conservative estimates** of transport distance, fuel consumed, and transport method.

### Pyrolysis process

Any energy used to start the kiln (including high-quality wood and any associated leakage emissions), as well as energy used to combust methane emissions within the reactor, shall be included in the project’s total induced GHG emissions quantification. These emissions shall be calculated using the [Processing and energy use module](/modules/processing-and-energy-use.md).

Methane emissions from pyrolysis shall be accounted for using direct methane measurements on a subset of representative kiln runs, following the [Sampling and measurements](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md#methane-emissions) requirements, and using the following equations.

<details>

<summary><strong>Calculations</strong>: Pyrolysis methane emissions</summary>

$$\textbf{(Eq.11)}\ {E}*{project,\ methane}= A*{biochar}\* E\_{bioCH\_4}\div 1000\*GWP\_{bioCH\_4}$$

Where,

* $$E\_{project,\ methane}$$ represents the total methane emissions from pyrolysis, in tCO$$\_2$$eq. It shall be used in Equation 2.
* $$A\_{biochar}$$ represents the amount of biochar produced during the monitoring period, in tonnes of dry biochar. It shall be calculated using either Equation 7, 8 or 9, depending on the project's chosen [biochar amount measurement method](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md#biochar-amount-produced).
* $$E\_{bioCH\_4}$$ represents the emission rate of biogenic methane from the pyrolysis process, in gCH<sub>4</sub>/kg dry biochar, measured according to the [Sampling and Measurement ](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md#methane-emissions)requirements.
* $${GWP}\_{bio\ CH4}$$ represents the global warming potential of biogenic CH$$\_4$$ over 100 years, which is 27[^5] tCO$$\_2$$eq/t CH$$\_4$$.
* Divided by 1000 to convert from gCH<sub>4</sub>/kg dry biochar to tonne CH<sub>4</sub>/tonne dry biochar.

</details>

### Infrastructure and machinery

The Rainbow [Infrastructure and machinery module](/modules/infrastructure-and-machinery.md) shall be used to quantify the embodied emissions of kilns.

### Biochar carbon storage

Project Developers shall choose between one of two approaches to quantify the gross carbon removals from their biochar product, as described in the [Durability](/methodologies/distributed-closed-kiln-biochar/principles-and-requirements.md#lc9eewbyvlyk-1) section. A single approach must be used consistently throughout each monitoring period, though a different approach may be chosen for subsequent monitoring periods.

1. Modeling 100-year removals using bulk measurements of $$H/C\_{\text{org}}$$, or
2. Estimating 1000-year removals using random reflectance measurements as proxies for inertinite.

#### Approach 1: Modeling 100-year removals using bulk measurements of $$H/C\_{\text{org}}$$ <a href="#id-2rhx2av7of74" id="id-2rhx2av7of74"></a>

Project Developers shall quantify the gross carbon removals from their biochar project by modeling 100-year removals using bulk measurements of $$H/C\_{\text{org}}$$. These measurements shall be done once per [Production Batch](#user-content-fn-2)[^2]. The measurements shall be done on the **Production Batch Representative Sample**, mixing biochar from each kiln run. See [Sampling and measurements](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md) for more details.

This approach is based on research from [Woolf et al., 2021](#user-content-fn-6)[^6], and the [IPCC modeling method](#user-content-fn-7)[^7]. It is rooted in soil ecology and soil biochemistry disciplines. The **permanent fraction** of biochar carbon remaining after 100 years ($$F\_{\text{perm 100}}$$) is modeled according to the local average annual temperature.

Temperature shall be obtained in the following ways:

* Biochar application to soil or mixing into horticultural products: Soil temperature shall be obtained for the end use location of each biochar spreading or mixing event, using the GPS coordinates provided in the Verification of end use report and the global soil temperature dataset from [Lembrechts et al., 2021](#user-content-fn-8)[^8]. The Rainbow Certification Team can provide soil temperature values for Project Developers based on the provided GPS coordinates.
* Biochar mixing into concrete: Average annual air temperature at the location where biochar is mixed into concrete shall be used. It shall be taken from reputable public databases.

*Table 2 Soil temperature ranges are categorized and their corresponding c and m regression coefficients are presented, which are used in Eq. 10 below to calculate* $$F\_{perm}$$. *Values are taken from* [*Woolf et al., 2021*](#user-content-fn-6)[^6]*.*

| Soil temperature (°C) | c    | m    |
| --------------------- | ---- | ---- |
| <7.49                 | 1.13 | 0.46 |
| 7.5-12.49             | 1.10 | 0.59 |
| 12.5-17.49            | 1.04 | 0.64 |
| 17.5-22.49            | 1.01 | 0.65 |
| >22.5                 | 0.98 | 0.66 |

<details>

<summary><strong>Calculations:</strong> Biochar carbon storage</summary>

$$\textbf{(Eq.12)}\ F\_{perm\ 100} = c - m\*H/C\_{org}$$

where,

* $$F\_{perm\ 100}$$ represents the fraction of biochar carbon remaining after 100 years
* $$c$$ and $$m$$ represent regression coefficients, taken from [Woolf et al., 2021](#user-content-fn-6)[^6], and summarized in Table 2 for the corresponding project location's soil or air temperature.
* $$H/C\_{org}$$ represents the ratio of molar hydrogen to organic carbon in biochar, measured via elemental analysis by an accredited laboratory for each production batch.

$$\textbf{(Eq.13)}\ R\_{project}= F\_{perm\ 100}\*{C\_{org}*A}*{biochar}\*C\ to\ {CO}*{2}*-1$$

where,

* $$R\_{project}$$ represents the total carbon removals from biochar during the monitoring period, in tonnes of CO$$\_2$$eq. This value shall be applied to Equation 1 to calculate total project removals.
* $$F\_{perm\ 100}$$ is calculated in Equation 12.
* $$C\_{org}$$ represents the concentration of organic carbon in biochar, on a dry weight basis.
* $$A\_{biochar}$$ represents the amount of biochar delivered during the monitoring period, in tonnes of dry biochar. It is obtained using Equation 7, 8 or 9 depending on the project's chosen measurement method.
* $$C\ to\ {CO}\_{2}$$ is 44/12 = 3.67, and represents the molar masses of CO$$\_2$$ and C respectively, and is used to convert tonnes C to tonnes of CO$$\_2$$eq.
* It is multiplied by -1 to obtain a negative sign. Removals are reported as a negative value.

</details>

#### Approach 2: Estimating 1000-year removals based on inertinite fraction <a href="#id-2rhx2av7of74" id="id-2rhx2av7of74"></a>

This approach is based on the research from [Sanei et al., 2024](#user-content-fn-9)[^9], and is rooted in the organic petrology and geochemistry disciplines. This approach is built upon research showing that fractions of inertinite in biochar samples are:

* [inert and permanent](#user-content-fn-10)[^10] and will not re-release their carbon for at least 1000 years.
* represented by the fraction of residual (i.e. not reactive, not labile) organic carbon in the sample with a Random Reflectance ($$R\_o$$) of [2% or higher](#user-content-fn-9)[^9].

Project Developers shall provide $$R\_o$$ distribution, [labile organic carbon content](#user-content-fn-11)[^11], and moisture content for biochar from each [Production Batch](#user-content-fn-2)[^2], following the [Sampling requirements](/methodologies/distributed-closed-kiln-biochar/sampling-and-measurements.md#biochar-sampling-procedure).

To determine the inertinite fraction of the biochar's organic carbon, first the labile carbon fraction is measured and subtracted from total organic carbon content, and only the residual organic carbon content is considered.

Next, random reflectance measurements are used to determine the fraction of residual organic carbon that is classified as inertinite:

* The fraction of the distribution with an $$R\_o$$ **above 2%** represents the fraction of the biochar carbon that is stored permanently for 1000 years.
* The fraction of the distribution with an $$R\_o$$ **below 2%** represents the fraction of biochar carbon that is not permanently stored, and for which no removal RCCs are issued.

$$R\_o$$ distribution shall be based on at least 500 measurements, yielding a frequency distribution diagram similar to the examples in Figure 2a and 2b.

![Figure 2a An example of a random reflectance frequency distribution diagram, with an analysis described below.](/files/RvDwkJem5UkBnsnCmFSv)

{% hint style="info" %}
Example 1: This biochar sample has heterogenous quality and a wide distribution of $$R\_o$$ measurements. The biochar sample has:

* labile organic carbon content of 5%,
* residual organic carbon content of 95%,
* mean $$R\_o$$ of 2.12, and
* 72% of the $$R\_o$$ measurements are above the 2% inertinite threshold.

Therefore, this biochar sample has an $$F\_{\text{perm\ 1000}}$$ of $$0.72 \times 0.95=0.684$$ , so 68.4% of the organic carbon in the sample will be converted to CO$$\_2$$eq and considered as 1000-year carbon removals. The remaining 31.6% of carbon is assumed to decompose within the 1000-year permanence horizon, and is not considered for any removal RCCs.
{% endhint %}

![Figure 2b An example of a random reflectance frequency distribution diagram, with an analysis described below.](/files/zys8iUA26XGiah6RpKoc)

{% hint style="info" %}
Example 2: This biochar sample has more homogenous quality and a narrow distribution of $$R\_o$$ measurements. The biochar sample has:

* labile organic carbon content of 1%
* residual organic carbon content of 99%
* mean $$R\_o$$ of 2.32, and
* 95% of the $$R\_o$$ measurements are above the 2% inertinite threshold.

Therefore, this biochar sample has an $$F\_{\text{perm\ 1000}}$$ of $$0.99\*0.95=0.94$$, so 94% of the organic carbon in the sample will be converted to CO$$\_2$$eq and considered as 1000-year carbon removals. The remaining 6% of carbon is assumed to decompose within the 1000-year permanence horizon, and is not considered for any removal RCCs.
{% endhint %}

<details>

<summary><strong>Calculations: 1000-year removal credits with random reflectance</strong></summary>

$$\textbf{(Eq.14)}\ F\_{perm\ 1000} = {Sample\ fraction}*{> 2%\ Ro} \times C*{org,\ f\ residual}$$

where,

* $$F\_{perm\ 1000}$$ represents the fraction of biochar carbon remaining after 1000 years.
* $${Sample\ fraction}\_{> 2%\ Ro}$$ represents the fraction of the distribution sample that has a random reflectance ($$R\_O$$) of 2% or higher.
* $$C\_{org,\ f\ residual}$$ represents the fraction of the biochar organic carbon that is residual carbon, as opposed to reactive/labile organic carbon. It may be measured and reported directly, or obtained by subtracting measured *reactive* carbon from 100.

$$\textbf{(Eq.15)}\ R\_{project,\ 1000}=F\_{perm\ 1000}\*{C\_{org}*A}*{biochar}\*C\ to\ {CO}*{2}*-1$$

where,

* $$R\_{project,\ 1000}$$ represents the total carbon removals from biochar during the monitoring period, in tonnes of CO$$\_2$$eq. This value shall be applied to Equation 1 to calculate overall project removals.
* $$F\_{perm\ 1000}$$ is calculated in Equation 14.
* $$C\_{org}$$, $$A\_{biochar}$$ and $$C\ to\ {CO}\_{2}$$ are described in Equation 13.
* It is multiplied by -1 to obtain a negative sign. Removals are reported as a negative value.

</details>

## Uncertainty assessment <a href="#dk35zb8m2b1p" id="dk35zb8m2b1p"></a>

An uncertainty assessment is presented below for all aspects of GHG quantification set **at the methodology level**. The findings from this assessment are then applied **at the project level**, where project-specific GHG quantification also undergoes an uncertainty assessment.

The **overall project GHG quantification uncertainty** is determined by qualitatively combining both the methodology-level and project-specific uncertainties for each identified source of uncertainty.

The uncertainty of [assumptions](#assumptions) are assessed below:

| Assumption                                                                                                                                   | Uncertainty                                                                                                                                                                                |
| -------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ |
| All biochar from the same Production Batch has the same characteristics (e.g. $$M\_{\text{%}}$$, $$H/C\_{\text{org}}$$, inertinite content). | In principle this assumption has low uncertainty, but the ability of Kiln Operators to maintain consistent pyrolysis conditions across sites and across kiln runs is moderately uncertain. |
| All biochar made from the same feedstock has the same methane emission rate from pyrolysis.                                                  | In principle this assumption has low uncertainty, but the ability of Kiln Operators to maintain consistent pyrolysis conditions across sites and across kiln runs is moderately uncertain. |
| The permanent carbon sequestration rate from biomass leakage, where the alternate fate is being left on the field to decompose, is 0.5%.     | High uncertainty, but the total net project removals is not sensitive to this assumption, so a low overall impact.                                                                         |

The equations and models have moderate uncertainty. The model for 100-year permanence from [Woolf et al., 2021](#user-content-fn-6)[^6] has high uncertainty because it is a model fitted to experimental data, which always introduces variability. The equations for 1000-year permanence from [Sanei et al., 2024](#user-content-fn-12)[^12] have low uncertainty because they are basic conversion equations.

Estimates may be used for the amount of processing and energy use inputs and the transport steps, rather than providing direct proof of each step. This is expected to introduce negligible to moderate uncertainty, depending on the level of justification provided for each project. For example, it may be negligible if the process is entirely manual/not motorized, requiring no transport or energy inputs. The uncertainty of these estimates and specific input data shall be assessed at the project level.

The uncertainty at the methodology level of the above-mentioned points are estimated to be moderate. This translates to a **minimum discount factor of at least 6%** for projects under this methodology.

[^1]: ISO 14064-2:2019. Greenhouse gases — Part 2: Specification with guidance at the project level for quantification, monitoring and reporting of greenhouse gas emission reductions or removal enhancements.

[^2]: A production batch is defined as the biochar produced across multiple kilns of the same technology type, with the same biomass feedstock type or mixture, quenching approach, and pyrolysis temperature curve.<br>

    A production batch is valid for **a maximum of 6 months operating time or 200 tonnes of biochar**, whichever comes first.

[^3]: The coordinates are used by Rainbow Certification Team to obtain the average soil temperature (°C) where the biochar is spread.

[^4]: Wernet, G., Bauer, C., Steubing, B., Reinhard, J., Moreno-Ruiz, E., Weidema, B., 2016. The ecoinvent database version 3 (part I): overview and methodology. Int J Life Cycle Assess 21, 1218–1230. <https://doi.org/10.1007/s11367-016-1087-8>

[^5]: Intergovernmental Panel on Climate Change 2021. Chapter 7: The Earth’s Energy Budget, Climate Feedbacks, and Climate Sensitivity. In Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, doi:10.1017/9781009157896.009.

[^6]: Woolf, D., Lehmann, J., Ogle, S., Kishimoto-Mo, A.W., McConkey, B., Baldock, J., 2021. Greenhouse Gas Inventory Model for Biochar Additions to Soil. Environmental Science & Technology 55, 14795–14805.[ https://doi.org/10.1021/acs.est.1c02425](https://doi.org/10.1021/acs.est.1c02425)

[^7]: IPCC 2019. Appendix 4 Method for Estimating the Change in Mineral Soil Organic Carbon Stocks from Biochar Amendments: Basis for Future Methodological Development. 2019 Refinement to the 2006 IPCC Guidelines for National Greenhouse Gas Inventories, Volume 4 Agriculture, Forestry and Other Land Use. [URL](https://www.ipcc-nggip.iges.or.jp/public/2019rf/pdf/4_Volume4/19R_V4_Ch02_Ap4_Biochar.pdf).

[^8]: Lembrechts et al., Global maps of soil temperature (2021). Global Change Biology. DOI: [10.1111/gcb.16060](https://onlinelibrary.wiley.com/doi/full/10.1111/gcb.16060). [URL](https://zenodo.org/records/7134169).

[^9]: Sanei, H., Rudra, A., Przyswitt, Z.M.M., Kousted, S., Sindlev, M.B., Zheng, X., Nielsen, S.B., Petersen, H.I., 2024. Assessing biochar’s permanence: An inertinite benchmark. International Journal of Coal Geology 281, 104409[ https://doi.org/10.1016/j.coal.2023.104409](https://doi.org/10.1016/j.coal.2023.104409)

[^10]: International Committee for Coal and Organic Petrology (ICCP), 2001. The new inertinite classification (ICCP System 1994). Fuel 80, 459–471.[ https://doi.org/10.1016/S0016-2361(00)00102-2](https://doi.org/10.1016/S0016-2361\(00\)00102-2)

[^11]: determined by e.g. thermogravimetric analysis (TGA) or Rock-Eval 6

[^12]: Sanei, H., Rudra, A., Przyswitt, Z.M.M., Kousted, S., Sindlev, M.B., Zheng, X., Nielsen, S.B., Petersen, H.I., 2024. Assessing biochar’s permanence: An inertinite benchmark. International Journal of Coal Geology 281, 104409 <https://doi.org/10.1016/j.coal.2023.104409>


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