How many inventory plots does your reforestation carbon project need?

For the carbon inventory of a reforestation (ARR) project under Verra VM0047, Gold Standard or the CDM. Enter how much your pilot plots vary and the precision your standard asks for; the count uses the CDM sample-size tool (AR-TOOL03).

Your project

ha
ha
500 m²: a circle of 12.62 m radius
%
Standard deviation of plot biomass ÷ its mean, from 10–15 pilot plots in each stratum

Assumptions

Verra VM0047 deducts uncertainty above this. It is also the CDM sample-size tool’s default.

Plots to measure

44 plots, for ±10% at 90% confidence; install 49.

44plots, for ±10% at 90% confidence

Install 49: IPCC guidance recommends 10% more for plots you can’t find again later.

If one thing changesPlots
Plots vary 1.5 times as much97
Target ±20% at 90% confidence14
95% confidence instead of 90%62

Bigger plots usually vary less, so count both ways with your pilot data before you choose a size.

How it’s worked out
  • (1.645 × 40 ÷ 10)² = 43.3. Equation 1, with its finite-population term, gives 43.1, rounded up.
  • The plots cover 0.44% of the 500 ha.
  • Under VM0047 the 10% applies to the change in carbon since the first (t = 0) inventory. On land with little biomass at the start, that is close to the precision on today’s stock. Permanent plots, measured again each time, usually narrow the change further.

It follows the CDM tool for sample plots in reforestation projects (AR-TOOL03, equation 1). For one stratum and a small share of the area sampled, that comes down to:

n=(t⋅𝐶𝑉E)2n = \left(\frac{t \cdot \mathit{CV}}{E}\right)^{2}

AR-TOOL03, eq. 2

t is the Student’s t-value for your confidence level (1.645 at 90%), CV is how much plot biomass varies as a percentage of the mean, and E is the allowed error as a percentage of the mean. When the answer is under 30 plots, the tool works it out again with the t-value for that many plots minus one, which adds a few. Equation 1 also holds a finite-population term, which takes a few away when plots cover more than a few percent of the area. With strata, plots go to each stratum by its area times its standard deviation, with at least two in each (our choice: the fewest that can estimate a variance), and never more than fit in it.

When plots cover more than 5% of the area, AR-TOOL03 then applies a further cut (equation 3). Equation 1 already holds that finite-population term, so this calculator leaves equation 3 out: on small sites it can give many more plots than the tool.

A planning estimate, not a sample design your verifier has approved. Your methodology and your validation and verification body decide what is enough.

Questions

How it works

Work out how many forest inventory plots a reforestation (ARR) carbon project needs for the precision its standard asks, from how much your pilot plots vary, with strata, plot size and spare plots. Uses the CDM sample-size tool’s equation (AR-TOOL03); your standard sets the precision.

  1. Pick the precision your standard asks for: ±10% at 90% confidence for Verra VM0047 and the CDM tool’s default, ±20% at 90% for projects under Gold Standard’s A/R methodology v2.1 (credits up to 2025 vintage), or your own.
  2. Enter the project area, the plot size and how much plot biomass varies (CV). Split the project into strata if planting years or sites grow differently.
  3. Read the plots to measure, how many to install with spares, and how the count moves if plots vary more or the target changes.

Read the guide: Forest inventory plots for ARR projects

Input and output

Input
A precision target (±10% at 90% confidence, ±20% for Gold Standard credits up to 2025 vintage, or your own), the project area, the plot size and how much plot biomass varies (the coefficient of variation), for the whole project or for each stratum.
Output
The number of plots to measure, plots per stratum, how many to install with 10% spare, the formula with your numbers, and how the count changes if the variation, target or confidence changes.

Example: input

Target ±10% at 90% confidence · 500 ha · 0.05 ha plots · CV 40%

Example: output

44 plots to measure; install 49 with 10% spare
(1.645 × 40 ÷ 10)² = 43.3; AR-TOOL03 equation 1, with its finite-population term, gives 43.1, rounded up
At ±20%: 14 plots (under 30, so t comes from n − 1 degrees of freedom)

Limits

  • The answer is only as good as the coefficient of variation you enter. IPCC’s example is 10–15 pilot plots in each stratum, in a stand like the one you will monitor.
  • It counts plots for one estimate of biomass at one point in time. Under VM0047 the precision that is deducted is on the change since the project started.
  • It uses the CDM sample-size tool (AR-TOOL03) but leaves out its equation 3, so where plots cover more than 5% of the area it gives more plots than the tool. Your methodology and your verifier decide the sample design.
  • It does not place the plots on a map.

How many inventory plots does a reforestation project need?

It depends on how much biomass varies between plots and the precision your standard asks for. The CDM sample-size tool (AR-TOOL03) gives n = (t × CV ÷ E)² for one stratum: with plots that vary by 40% of the mean, ±10% at 90% confidence needs (1.645 × 40 ÷ 10)² = 43.3, rounded up to 44 plots, and ±20% needs 14 once the small-sample t-value is used. IPCC guidance recommends 10% spare plots.

Where do I get the coefficient of variation?

From a pilot: IPCC good practice suggests 10–15 plots in each stratum may be enough, measured in a stand like the one you will monitor, at the age your plots will reach. Divide the standard deviation of plot biomass by its mean. Existing inventory data from the area or a similar one works too.

What happens if my inventory misses the precision target?

Excess sampling uncertainty costs credits; the inventory’s other requirements still apply. Under Verra VM0047, uncertainty above 10% of the change in carbon stocks (at 90% confidence) is deducted point for point from cumulative removals, and no credits are issued if it exceeds 100%. Under Gold Standard’s A/R methodology v2.1, error above ±20% is deducted from the mean; its STARR draft would deduct total uncertainty above 10%.

Is my data uploaded anywhere?

No. The calculation runs in your browser, and the numbers you enter stay there.

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