28Carbon dioxide equivalence of change carbon stock for a project area with 60% probability of exceedance

28 Carbon dioxide equivalence of change carbon stock for a project area with 60% probability of exceedance

  Calculate the carbon dioxide equivalence of the change in soil organic carbon stock for a project area between the baseline sampling round and subsequent sampling round associated with a 60% probability of exceedance (the View image in the official source), in tonnes of CO2-e, using the following equation:

| View image in the official source View image in the official source | equation 29 |

View image in the official source is the value for View image in the official sourcein tonnes of soil organic carbon per project area, given by equation 28.  

View image in the official source is the sum of:

 (a) if the carbon content of any biochar applied in all CEAs in the project area from the declaration of the project to the end of the reporting period is known—the amount of carbon in that biochar, in tonnes; and

 (b) if the carbon content of any biochar applied in all CEAs in the project area from the declaration of the project to the end of the reporting period is not known—the total quantity of that biochar (if any) applied in all CEAs in the project area from the declaration of the project to the end of the reporting period, in tonnes.

Note: The value View image in the official sourceconverts tonnes of carbon to tonnes of CO2-e.

29 Creditable change in soil organic carbon for a project area for a reporting period

  The View image in the official sourcein tonnes of CO2-e, is given by the following equation:

| View image in the official source | equation 30 |

View image in the official source is the value for View image in the official source, in tonnes of CO2-e, given by equation 29.  

Note: The 0.5 is a temporary discount to the creditable amount of change in carbon stock due to the use of only 2 sampling rounds.

Subdivision 3—Where 3 or more sampling rounds are conducted

30 Application of this Subdivision

  This subdivision applies to the calculation of  View image in the official source if the baseline sampling round and 2 or more subsequent sampling rounds have been conducted in relation to the project area.

31 Median day of a sampling round

  In this Subdivision, the median day of a sampling round is:

 (a) if the sampling was conducted on a single day—that day; or

 (b) if the sampling was conducted over an odd number of days counting from the first to last day—the middle day; or

 (c) if the sampling was conducted over an even number of days counting from the first to last day—the second of the two middle days.

32 Average project duration

  Calculate the average project duration between all completed sampling rounds (the View image in the official source, in years, using the following equation:

| View image in the official source | equation 31 |

View image in the official sourceis the duration of the project associated with each sampling round t calculated as the time, in decimal years, between the median day of sampling round and the median day of the baseline sampling round.

33 Average carbon stock across all completed sampling rounds

  Calculate the average carbon stock across all completed sampling rounds (the View image in the official source), in tonnes of soil organic carbon per CEA, using the following equation:

| View image in the official source | equation 32 |

View image in the official sourceis the value for View image in the official source for the sampling round, in tonnes of soil organic carbon per CEA, given by equation 12, 19 or 20.

34 Average rate of change in carbon stock across all completed sampling rounds (slope of linear regression)

  Calculate the average rate of change of carbon stock across all completed sampling rounds (the View image in the official source), in tonnes of soil organic carbon per CEA per year, using the following equation:

| View image in the official source | equation 33 |

View image in the official sourceis the duration of the project associated with each sampling round t calculated as the time, in decimal years, between the median day of sampling round and the median day of the baseline sampling round.

View image in the official sourceis the value for View image in the official source for the sampling round, in tonnes of soil organic carbon per CEA, given by equation 12, 19 or 20.

View image in the official sourceis the value for View image in the official source, in tonnes of soil organic carbon per CEA, given by equation 32.

35 Y-intercept of linear regression (line of best fit)

  Calculate the y-intercept of the linear regression (the View image in the official source), in tonnes of soil organic carbon per hectare, using the following equation:

| View image in the official source | equation 34 |

View image in the official sourceis the value for View image in the official source, in tonnes of soil organic carbon per CEA, given by equation 32.

View image in the official source is the value of View image in the official source, in tonnes of soil organic carbon per CEA per year, given by equation 33.

36 Predicted soil organic carbon stock from linear regression

  Calculate the predicted soil organic carbon stock of the CEA from the linear regression (the View image in the official source), in tonnes of soil organic carbon per CEA, using the following equation:

| View image in the official source | equation 35 |

View image in the official source is the value of View image in the official source, in tonnes of soil organic carbon per hectare, given by equation 34.

View image in the official source is the value of View image in the official source, in tonnes of soil organic carbon per CEA per year, given by equation 33.

View image in the official sourceis the duration of the project associated with the last completed sampling round t calculated as the time, in decimal years, between the median day of sampling round and the median day of the baseline sampling round.

37 Alpha value for students t test

  Calculate the alpha value View image in the official source for the one-tail student’s t test in equation 39, using the following equation:

| View image in the official source | equation 36 |

View image in the official sourceis deemed to be 60, based on a conservative estimate of the probability that the true soil organic carbon stock value will exceed the calculated value.

38 Degrees of freedom for students t test

  Calculate the degrees of freedom df to use the one-tail student’s t test in equation 39, using the following equation:

| View image in the official source | equation 37 |

39 Standard error of slope of linear regression

  Calculate the standard error of the slope of the linear regression b1 (the View image in the official source using the following equation:

| View image in the official source | equation 38 |

View image in the official sourceis the value for View image in the official source for the sampling round, in tonnes of soil organic carbon per CEA, given by equation 12, 19 or 20.

View image in the official sourceis the value for View image in the official sourcefor the sampling round, in tonnes of soil organic carbon per CEA, given by equation 35.

View image in the official source is the value of View image in the official source given by equation 37.

View image in the official sourceis the duration of the project associated with the last completed sampling round t calculated as the time, in decimal years, between the median day of sampling round and the median day of the baseline sampling round.

40 Rate of change in carbon stock for a CEA with 60% probability of exceedance

  Calculate the rate of change in soil organic carbon stock for the CEA between the baseline sampling round and the last sampling round associated with a 60% probability of exceedance (the View image in the official source), in tonnes of carbon per CEA per year, using the following equation:

| View image in the official source | equation 39 |

View image in the official source is the value of View image in the official source, in tonnes of soil organic carbon per CEA per year, given by equation 33.

View image in the official source is the value for View image in the official sourcegiven by equation 38.

View image in the official source is the t value derived from a one-tailed student’s t-distribution with the value for alpha View image in the official source given by equation 36 and the degrees of freedom View image in the official source given by equation 37.