Tree Value Calculator

Put a defensible dollar figure on a standing tree, either as a replacement-cost appraisal using the CTLA trunk formula or as merchantable timber scaled in board feet.

🌲 Tree Value Calculator
Measurement units
Trunk diameter at breast height (DBH)24.0 in
in
172
Unit tree cost65 / sq in
$/sq in
5200
Species rating80 %
%
0100
Condition rating75 % (Good)
%
0100
Location rating70 %
%
0100
Log rule
Small-end diameter inside bark16.0 in
in
548
Log length16.0 ft
ft
440
Number of logs20 logs
logs
1500
Stumpage price per thousand board feet450 / MBF
$/MBF
502000
Appraised value
—
Trunk area
—
Trunk area (metric)
—
Basic value
—
After species rating
—
After condition rating
—
Combined multiplier
—
Step-by-step working
Total volume
—
Board feet per log
—
Thousand board feet
—
Timber value
—
Value per log
—
Scaled log size
—
Step-by-step working

🌲 What is Tree Value?

Tree value is the money figure attached to a standing tree, and it splits into two very different questions depending on why you are asking. If the tree is a living amenity, a shade maple beside a driveway or a street oak, its value is the cost of putting an equivalent tree back, which is a replacement-cost appraisal. If the tree is a crop, a straight sawlog stem in a woodlot, its value is what a mill will pay for the wood fibre inside it, which is a timber scaling question. This calculator answers both, because landowners routinely need one number for an insurance claim and a completely different number for a harvest contract.

The amenity side uses the trunk formula published by the Council of Tree and Landscape Appraisers, usually shortened to CTLA. The method exists because a mature tree cannot simply be bought and planted. Nursery stock stops at a certain transplantable size, so beyond that point the appraiser scales the cost of the largest available tree upward in proportion to trunk cross-sectional area, then depreciates that basic value for how desirable the species is, how healthy the specimen is, and how well it is placed on the site. Courts, insurers, municipalities and utilities all recognise this approach, which is why it is the number arborists reach for after a storm, a construction injury or an unauthorised removal.

The timber side works from log rules, which are empirical tables that convert a log's small-end diameter and length into board feet of lumber. Three rules dominate in North America. Doyle deducts a fixed four-inch slab allowance and badly understates small logs. Scribner is a diagram rule that sits in the middle. The International 1/4-inch rule models saw kerf and taper properly and is the closest to actual mill recovery. Because a buyer's offer depends on which rule the logs are scaled by, comparing two quotes without knowing the rule is meaningless.

The trap most people fall into is assuming the two numbers should be similar. They are not. A single mature front-yard oak can appraise at well over ten thousand dollars as an amenity, while the same stem sold as sawlogs might fetch a few hundred. One measures the cost of restoring a landscape service, the other measures the market price of wood. This calculator keeps them in separate modes so you never accidentally quote one when you need the other.

📐 Formula

Appraised value  =  π × (DBH ÷ 2)² × C × S × K × L
DBH = trunk diameter at breast height, 4.5 ft (1.37 m) above grade, in inches
π × (DBH ÷ 2)² = trunk area, the stem cross-section in square inches
C = unit tree cost, the installed cost per square inch of trunk area (regional figure)
S = species rating, 0 to 1 (entered as a percentage)
K = condition rating, 0 to 1 (entered as a percentage)
L = location rating, 0 to 1 (entered as a percentage)
Basic value = trunk area × C, before any depreciation is applied
Doyle log rule: BF = ((D − 4) ÷ 4)² × Llog
Scribner log rule: BF = (0.79D² − 2D − 4) × Llog ÷ 16
D = small-end log diameter inside bark (in), Llog = log length (ft)
Timber value = total board feet ÷ 1000 × price per MBF
Example: DBH 24 in gives a trunk area of 452.4 sq in, so at 65 per sq in the basic value is 29,405.

📖 How to Use This Calculator

Steps

1
Pick the valuation mode. Choose CTLA appraisal for a standing amenity tree, or timber scaling if you want the merchantable board-foot value of sawlogs.
2
Enter the trunk diameter. Measure diameter at breast height, 4.5 feet above grade, and enter it in inches or centimetres using the unit selector.
3
Set the unit tree cost. Enter your regional installed cost per square inch of trunk area, taken from a local nursery quote or an appraisal guide.
4
Rate species, condition and location. Enter each rating as a percentage. The three multiply together to depreciate the basic value down to the appraised value.
5
Read the appraisal and breakdown. The calculator reports trunk area, basic value, every depreciation step, the final appraised value, a chart and a breakdown table.

💡 Example Calculations

Example 1 — Mature Front-Yard Oak

24 inch DBH, 65 per sq in, species 80%, condition 75%, location 70%

1
Trunk area = π × (24 ÷ 2)² = π × 144 = 452.4 sq in (2,919 cm²).
2
Basic value = 452.4 × 65 = 29,405.
3
Species 80% gives 23,524, then condition 75% gives 17,643.
4
Location 70% gives 12,350, a combined multiplier of 42.0%.
Appraised value = 12,350 from a basic value of 29,405
Try this example →

Example 2 — Small Boundary Tree of a Weak Species

12 inch DBH, 65 per sq in, species 60%, condition 90%, location 50%

1
Trunk area = π × (12 ÷ 2)² = 113.1 sq in, exactly a quarter of the 24 inch tree.
2
Basic value = 113.1 × 65 = 7,351.
3
Species 60% gives 4,411, condition 90% gives 3,970.
4
Location 50% gives 1,985, a combined multiplier of 27.0%. Excellent health cannot rescue a weak species in a poor spot.
Appraised value = 1,985 from a basic value of 7,351
Try this example →

Example 3 — Woodlot Sawlogs Scaled by Doyle

20 logs, 16 inch small end, 16 ft long, 450 per MBF, Doyle rule

1
Doyle BF per log = ((16 − 4) ÷ 4)² × 16 = 3² × 16 = 144 board feet.
2
Total volume = 144 × 20 = 2,880 board feet, which is 2.880 MBF.
3
Timber value = 2.880 × 450 = 1,296, or 64.80 per log.
Volume = 2,880 BF, timber value = 1,296
Try this example →

Example 4 — The Same Logs Scaled by the International Rule

20 logs, 16 inch small end, 16 ft long, 450 per MBF, International 1/4-inch rule

1
The International 1/4-inch rule reads 185.7 board feet for a 16 by 16 log, against 144 for Doyle.
2
Total volume = 185.7 × 20 = 3,714 board feet, which is 3.714 MBF.
3
Timber value = 3.714 × 450 = 1,671, about 29 percent more than the Doyle figure for identical wood.
Volume = 3,714 BF, timber value = 1,671
Try this example →

❓ Frequently Asked Questions

How do you calculate the value of a tree?+
The CTLA trunk formula multiplies trunk area at breast height by a regional unit tree cost to get a basic value, then depreciates it by species, condition and location ratings. A 24 inch trunk is 452 square inches, and at 65 dollars per square inch the basic value is 29,405, which falls to 12,350 after 80, 75 and 70 percent ratings.
What is the CTLA trunk formula method?+
It is the replacement-cost appraisal method published by the Council of Tree and Landscape Appraisers. It is used when a tree is too large to replace with nursery stock, so its cost is scaled up from the largest transplantable size using trunk cross-sectional area, then depreciated for species desirability, physical condition and site placement.
How is trunk area calculated for tree appraisal?+
Trunk area is the circle area at diameter at breast height, so pi times the radius squared. A 24 inch DBH gives pi times 12 squared, which is 452.4 square inches. If you measured circumference with a tape, divide by pi first to get diameter, then square half of it.
What is a good unit tree cost per square inch?+
Regional appraisal guides typically publish values between 30 and 90 dollars per square inch of trunk area, with high-cost urban markets running higher. The figure comes from the installed price of the largest commonly available nursery tree divided by its own trunk area, so it already includes planting labour and establishment care.
What do the species, condition and location ratings mean?+
Species rating reflects how desirable and long-lived the species is locally. Condition rating reflects health, structure, trunk defects and crown density. Location rating blends site placement, contribution to the property and functional value. Each is a percentage, and the three multiply together, so 80, 75 and 70 percent give a combined 42 percent of basic value.
What is the difference between Doyle, Scribner and International log rules?+
They are three ways of estimating board feet from a log's small-end diameter and length. Doyle deducts a heavy slab allowance and understates small logs, International 1/4-inch models the saw kerf and taper most accurately, and Scribner falls between the two. On a 16 inch by 16 foot log they read 144, 185.7 and 166.2 board feet.
How much is a thousand board feet of timber worth?+
Standing stumpage commonly runs from about 100 dollars per MBF for low-grade pine pulpwood to well over 1,000 dollars per MBF for veneer-quality black walnut or white oak. Delivered mill prices are higher because they include felling, skidding and hauling, so always confirm whether a quote is stumpage or delivered.
Is timber value the same as appraised tree value?+
No, and the two often differ by an order of magnitude. Timber value is what the wood fibre sells for once the tree is cut, typically tens to hundreds of dollars. Appraised value under the trunk formula is the cost of replacing the living amenity, which for a mature shade tree beside a house is frequently five figures.
Does tree value increase with age?+
It increases with trunk diameter, which is loosely tied to age, but only while condition holds. Once decay, dieback or storm damage pull the condition rating down, the depreciation outruns the growth in trunk area, so a hollow veteran can appraise well below a sound tree half its size.
Can I use this appraisal for an insurance claim?+
It gives you a defensible starting figure using the same trunk formula method insurers and courts recognise, but a claim normally needs a written report from a qualified arborist who has inspected the tree. It is worth sanity-checking an adjuster's offer against the trunk formula figure, since the result is highly sensitive to the condition rating.
How do I measure DBH on a leaning or forked tree?+
On a leaning stem, measure perpendicular to the trunk axis at 4.5 feet along the trunk rather than 4.5 feet vertically. If the tree forks below breast height, most protocols measure each stem separately, compute trunk area for each, and sum the areas before applying the unit cost.
Why does the appraised value drop so fast with a poor condition rating?+
Because the ratings multiply rather than add. A tree at 80 percent species, 40 percent condition and 70 percent location keeps only 22.4 percent of basic value, whereas the same tree at 75 percent condition keeps 42 percent. Condition is usually the single biggest lever an arborist's report can move.
Can I enter measurements in centimetres instead of inches?+
Yes. Switch the unit selector to metric and enter DBH in centimetres and log length in metres. The calculator converts internally to inches and feet, because both the trunk formula unit cost and every North American log rule are defined in imperial units, and it reports trunk area in square inches and square centimetres.
How many board feet are in a standing tree?+
Count the merchantable logs the stem will yield, usually 8 to 16 feet each down to a small-end diameter of about 8 to 10 inches, then scale each log separately and add them. A single 20 inch by 40 foot sawtimber stem cut into two 16 foot logs and one 8 foot log commonly yields 300 to 500 board feet by the Doyle rule.

How do you calculate the value of a tree?

The CTLA trunk formula multiplies trunk area at breast height by a regional unit tree cost to get a basic value, then depreciates it by species, condition and location ratings. A 24 inch trunk is 452 square inches, and at 65 dollars per square inch the basic value is 29,405, which falls to 12,350 after 80, 75 and 70 percent ratings.

What is the CTLA trunk formula method?

It is the replacement-cost appraisal method published by the Council of Tree and Landscape Appraisers. It is used when a tree is too large to replace with nursery stock, so its cost is scaled up from the largest transplantable size using trunk cross-sectional area, then depreciated for species desirability, physical condition and site placement.

How is trunk area calculated for tree appraisal?

Trunk area is the circle area at diameter at breast height, so pi times the radius squared. A 24 inch DBH gives pi times 12 squared, which is 452.4 square inches. If you measured circumference with a tape, divide by pi first to get diameter, then square half of it.

What is a good unit tree cost per square inch?

Regional appraisal guides typically publish values between 30 and 90 dollars per square inch of trunk area, with high-cost urban markets running higher. The figure comes from the installed price of the largest commonly available nursery tree divided by its own trunk area, so it already includes planting labour and establishment care.

What do the species, condition and location ratings mean?

Species rating reflects how desirable and long-lived the species is locally. Condition rating reflects health, structure, trunk defects and crown density. Location rating blends site placement, contribution to the property and functional value. Each is a percentage, and the three multiply together, so 80, 75 and 70 percent give a combined 42 percent of basic value.

What is the difference between Doyle, Scribner and International log rules?

They are three ways of estimating board feet from a log's small-end diameter and length. Doyle deducts a heavy slab allowance and understates small logs, International 1/4-inch models the saw kerf and taper most accurately, and Scribner falls between the two. On a 16 inch by 16 foot log they read 144, 185.7 and 166.2 board feet.

How much is a thousand board feet of timber worth?

Standing stumpage commonly runs from about 100 dollars per MBF for low-grade pine pulpwood to well over 1,000 dollars per MBF for veneer-quality black walnut or white oak. Delivered mill prices are higher because they include felling, skidding and hauling, so always confirm whether a quote is stumpage or delivered.

Is timber value the same as appraised tree value?

No, and the two often differ by an order of magnitude. Timber value is what the wood fibre sells for once the tree is cut, typically tens to hundreds of dollars. Appraised value under the trunk formula is the cost of replacing the living amenity, which for a mature shade tree beside a house is frequently five figures.

Does tree value increase with age?

It increases with trunk diameter, which is loosely tied to age, but only while condition holds. Once decay, dieback or storm damage pull the condition rating down, the depreciation outruns the growth in trunk area, so a hollow veteran can appraise well below a sound tree half its size.

Can I use this appraisal for an insurance claim?

It gives you a defensible starting figure using the same trunk formula method insurers and courts recognise, but a claim normally needs a written report from a qualified arborist who has inspected the tree. It is worth sanity-checking an adjuster's offer against the trunk formula figure, since the result is highly sensitive to the condition rating.

How do I measure DBH on a leaning or forked tree?

On a leaning stem, measure perpendicular to the trunk axis at 4.5 feet along the trunk rather than 4.5 feet vertically. If the tree forks below breast height, most protocols measure each stem separately, compute trunk area for each, and sum the areas before applying the unit cost.

Why does the appraised value drop so fast with a poor condition rating?

Because the ratings multiply rather than add. A tree at 80 percent species, 40 percent condition and 70 percent location keeps only 22.4 percent of basic value, whereas the same tree at 75 percent condition keeps 42 percent. Condition is usually the single biggest lever an arborist's report can move.