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Calcimator

Timber Cruising Calculator

Estimate total stand timber volume from sample plot data using expansion factors and statistical analysis.

About this calculator

Timber cruising estimates the total volume of standing timber in a stand without measuring every tree, by extrapolating from a sample of plots. This calculator takes Total Sample Plot Volume — the combined volume tallied across all plots you actually measured — and an Expansion Factor equal to Total Plots in Stand divided by Plots Measured, then multiplies the average volume per plot by the total plot count to get Estimated Stand Volume. Total Sample Plot Volume enters as a direct multiplier, so raising it always raises the estimate. Plots Measured moves the estimate in the opposite direction: because the sample total is held fixed while it changes, spreading the same tallied volume across more measured plots lowers the assumed per-plot average and therefore lowers the estimate — but only up to the point where Plots Measured reaches Total Plots in Stand.

Past that you have censused the whole stand, the expansion factor is 1, and the estimate stops moving: it is simply your tallied volume. Both inputs can move the result by substantial amounts depending on where in their declared ranges you start from, so neither one is reliably the more sensitive of the two across every scenario. Precision is estimated using a fixed 40% coefficient of variation, a widely-used rule of thumb for timber stands rather than a measurement of this specific stand's real variability, combined with a finite-population correction so that a complete census correctly reports zero sampling error; together these produce the Standard Error and 95% confidence interval. Recommended Plots for 10% allowable error is derived from that same fixed 40% CV assumption plus the finite-population correction against Total Plots in Stand, so it does not respond to your actual tallied volume or how many plots you have already measured — it reflects what sampling intensity that generic variability assumption would require, not a property of the stand you cruised.

Inputs

MBF
acres

Results

Estimated Stand Volume

600 MBF

Volume Per Acre

6 MBF/acre

Average Volume Per Plot12 MBF
Expansion Factor5
Sampling Intensity20%
Standard Error11.3%
95% CI Lower Bound467 MBF
95% CI Upper Bound733 MBF
Recommended Plots (10% error)29 plots
NoteInputs consistent.
How to Use This Calculator
  1. Enter the Total Sample Plot Volume in MBF from your field tally and the number of Plots Measured.
  2. Enter the Total Plots in Stand and Stand Acreage to compute expansion factors.
  3. Review Estimated Stand Volume and Volume Per Acre as the primary cruise outputs.
  4. Check Standard Error and the 95% Confidence Interval to assess cruise precision.
  5. Use Recommended Plots to determine if additional sampling is needed to reach 10% error or better.

How the result changes with Plots Measured

Plots MeasuredEstimated Stand VolumeVolume Per Acre
51,200 MBF12 MBF/acre
7.5800 MBF8 MBF/acre
15400 MBF4 MBF/acre
25240 MBF2.4 MBF/acre

What each input means

Total Sample Plot Volume
Combined volume in thousand board feet (MBF) measured across all sample plots.
Plots Measured
Number of sample plots where trees were measured.
Total Plots in Stand
Total number of possible plot locations across the entire stand.
Stand Acreage
Total area of the timber stand being cruised in acres.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Total Sample Plot Volume = 120, Plots Measured = 10, Total Plots in Stand = 50, Stand Acreage = 100 = 4 input(s) provided
  2. Calculate Estimated Stand Volume
    Estimated Stand Volume
    600 = 600
  3. Calculate Volume Per Acre
    Volume Per Acre
    6 = 6
  4. Calculate Average Volume Per Plot
    Average Volume Per Plot
    12 = 12
  5. Calculate Expansion Factor
    Expansion Factor
    5 = 5

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Which matters more to the estimate: Total Sample Plot Volume or Plots Measured?

Both can move it substantially, in opposite directions. Total Sample Plot Volume is a direct multiplier, so raising it always raises the estimate. Plots Measured sits in the denominator when computing average volume per plot, so raising it — while holding the sample total fixed — lowers the estimate instead. Which one swings the result further depends on where you're starting from in each input's range. Plots Measured stops lowering the estimate once it reaches Total Plots in Stand — past that point you have censused the whole stand and the estimate is flat at your tallied volume.

Does Stand Acreage change my Estimated Stand Volume figure?

No — Stand Acreage is used only to compute Volume Per Acre, a separate output. Estimated Stand Volume comes entirely from Total Sample Plot Volume and the expansion factor built from Plots Measured and Total Plots in Stand, so acreage has no effect on it, though it directly determines the per-acre figure.

Where does the 40% coefficient of variation in the confidence interval come from?

It's a commonly cited rule-of-thumb figure for timber stand variability, not a number measured from your specific sample. The Standard Error and 95% confidence interval both derive from this assumed 40% CV rather than from the spread across your individual plot measurements, so treat the interval as a generic estimate of typical cruise precision, not a statistically rigorous analysis of this stand. The interval also carries the finite-population correction, so it narrows as your sampling intensity rises and collapses to zero at a 100% census.

Why doesn't Recommended Plots change when I enter more sample data?

It does not use Total Sample Plot Volume or Plots Measured, because it answers a design question rather than a results question: how many plots a stand with the assumed 40% coefficient of variation needs to hit a 10% allowable error at 95% confidence. It does respond to Total Plots in Stand, through the finite-population correction — a stand with only 50 possible plot locations needs 29 plots for that precision, while a very large stand approaches 64.

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