Log Volume Forecast Calculator
Forecast monthly timber or roundwood log volume from current output, annual growth, seasonal factor and forecast horizon, with upper and lower bounds.
Log Volume Forecast Calculator
Calculator
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Formula: Forecast = V0 * (1 + r/12)^t * S
Worked example โ Forecasted monthly volume: 10,512 m3 | Range: 9,460 - 11,563 m3
Formula
Forecast = V0 * (1 + r/12)^t * S
V0 is the current monthly volume, r is the annual growth rate as a decimal, t is the number of months to forecast, and S is the seasonal adjustment factor. Upper and lower bounds are calculated by applying the variance percentage to the central forecast.
Worked Examples
Example 1: Annual Timber Harvest Forecast
Problem:A logging operation currently processes 10,000 cubic meters per month with 5% annual growth. Forecast 12 months ahead with no seasonal adjustment and 10% variance.
Solution:Monthly rate = 5% / 12 = 0.4167% Forecast = 10,000 * (1.004167)^12 * 1.0 = 10,512 m3 Upper bound = 10,512 * 1.10 = 11,563 m3 Lower bound = 10,512 * 0.90 = 9,460 m3 Cumulative = sum of months 1 to 12 = 123,300 m3 (average 10,275 m3/month)
Result:Forecasted monthly volume: 10,512 m3 | Range: 9,460 - 11,563 m3
Example 2: Peak Season Pulpwood Forecast
Problem:A pulpwood operation processes 5,000 tons/month with 8% growth. Forecast 6 months into peak season (factor 1.2) with 15% variance.
Solution:Monthly rate = 8% / 12 = 0.6667% Forecast = 5,000 * (1.006667)^6 * 1.2 = 6,244 tons Upper bound = 6,244 * 1.15 = 7,181 tons Lower bound = 6,244 * 0.85 = 5,308 tons
Result:Forecasted monthly volume: 6,244 tons | Range: 5,308 - 7,181 tons
Frequently Asked Questions
How does the log volume forecast work?
The log volume forecast uses compound growth modeling to project future log volumes based on your current volume, expected growth rate, and seasonal adjustments. It applies the compound growth formula V = V0 * (1 + r/12)^t * S, where V0 is current volume, r is annual growth rate, t is months, and S is the seasonal factor. This gives a mathematically grounded projection rather than a simple linear extrapolation, which better reflects real-world volume patterns that tend to compound over time.
What is the seasonal factor and how should I set it?
The seasonal factor is a multiplier that adjusts your forecast for predictable cyclical variations. A value of 1.0 means no seasonal adjustment. Values above 1.0 (like 1.2) indicate a peak season with 20% higher volume than baseline. Values below 1.0 (like 0.8) indicate an off-season with 20% lower volume. For example, logging operations in temperate regions often see higher volumes in dry summer months (factor 1.1-1.3) and lower volumes during wet winter months (factor 0.7-0.9).
How should I interpret the confidence interval bounds?
The upper and lower bounds represent a confidence range around your forecast based on the variance percentage you set. A 10% variance means the actual volume could reasonably be 10% above or below the central forecast. Wider variance settings (15-20%) are appropriate when there is significant uncertainty in market conditions, weather patterns, or regulatory changes. Narrower settings (5-8%) work when conditions are stable and historical data is reliable.
What growth rate should I use for forestry log volumes?
Growth rates for log volumes vary significantly by region and market. In established timber markets, annual growth rates of 2-5% are common. Emerging markets or areas with new plantation forests may see 8-15% annual growth. For sustainable yield forecasting, use the mean annual increment (MAI) of the forest stand, which typically ranges from 3-12 cubic meters per hectare per year depending on species and site quality. Always validate against historical data from your specific operation.
Can this forecast account for multiple log types or species?
Log Volume Forecast Calculator provides a single-stream volume forecast. For multi-species or multi-grade forecasting, run separate calculations for each log type (e.g., sawlogs, pulpwood, veneer logs) with their individual growth rates and seasonal factors. Then sum the results for a total operation forecast. Different log types often have different seasonal patterns and market growth rates, so separate modeling gives more accurate results than a single blended forecast.
What is the difference between the Doyle, Scribner, and International 1/4-inch log rules?
All three are board-foot log rules, and they disagree because each estimates recoverable lumber a different way. Doyle, a formula rule dating to about 1825, uses ((D-4)/4)^2 x L and heavily underestimates small-diameter logs. Scribner is a diagram rule drawn from board layouts inside a circle. The International 1/4-inch rule allows for taper and a quarter-inch saw kerf and tracks real mill recovery most closely. State which rule your volumes use before entering them, or the forecast will not be comparable across buyers.
Should I enter gross scale or net merchantable volume?
Enter net merchantable volume, the figure left after scalers deduct cull for rot, sweep, crook, shake and breakage, because that is what actually reaches the mill deck and gets paid for. Gross scale counts the full cylinder of every log regardless of defect, so forecasting from it inflates the monthly figure, the bounds and the cumulative total alike. If your records hold only gross scale, apply your operation's average cull percentage first and enter the reduced number.
Why is the cumulative total not just the forecast volume multiplied by the number of months?
The cumulative figure sums each individual projected month rather than repeating the final one. Because every month compounds on the one before it, that sum is a geometric series, so it falls between the first projected month and the last projected month each multiplied by the horizon, never at either extreme. The average monthly figure is that series divided by the number of months, and it is the right number to quote in haul contracts, mill supply agreements and crew scheduling.
What caps the growth rate an operation can sustain over a long horizon?
Biological increment caps it. Over a rotation you cannot remove more than the stand grows, so allowable cut is anchored to mean annual increment, the standing volume divided by stand age, commonly 3 to 12 cubic meters per hectare per year depending on species and site index. Entering 10 percent growth for 60 months compounds monthly volume up by roughly 65 percent, which implies buying extra stumpage, widening the procurement radius, or drawing down growing stock.
How does moisture content affect a forecast kept in green tons?
Solid cubic volume is fixed once a log is bucked, but weight is not. Freshly felled roundwood carries a large share of its mass as water, and logs sitting on a landing or in a roadside deck keep losing it, so the same volume weighs progressively less at the scale house. Green-ton forecasts therefore drift with deck age, species and season. Keep one unit throughout the model and convert only at the end, using your own recent scale ticket ratios.
References
Background & Theory
History
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer ยท Editorial policy
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