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Root-cut estimator

Try a 16-inch tree with a driveway 8 feet out or a 10-inch tree between a curb and a walk 3 feet from each.

Before a driveway, a fence or a utility trench goes in near a tree, the estimator shows how much of the tree's root zone the digging takes. Enter the trunk's diameter, the distance from the trunk to the digging, the shape of the cut and its depth. It gives both root zones, the share of the critical zone beyond the cut, how that share compares with the limits, and the closest distance within them. Every rule is shown with its source, and the answer is an estimate for planning, not an arborist's verdict.

A straight cut past one side, under 12 inches deep, a typical tree · Adjust

Numbers update as you type.

More about this tool

What the cut takes

24-inch trunk, a straight cut past one side 6 ft from it, under 12 inches deepEstimate
Beyond the quarter Purdue and Maryland give, and inside the structural root zone, so a certified arborist first: this cut takes 32 percent of the critical root zone.
24 ftcritical root zone radius at 1 foot per inch of trunk, 36 ft at Purdue's 1.5
12 ftstructural root zone from the trunk, six trunk diameters
32%of the critical root zone beyond the cut, 38% of Purdue's wider zone
12 ftthe closest this cut can come within the limits, 13.5 ft on the wider zone
Plan view of a 24-inch trunk, its root zones and a straight cut past one side 6 feet from it, drawn to scale. The dashed line marked Limits is the closest this cut can come within the limits, 12 feet from the trunk's face.Critical 24 ftWider 36 ftStructural 12 ftCut 6 ftTaken 32%Limits from 12 ft
Drawn to scale: the trunk sits at the center inside its three root zones, and the shaded part of the critical root zone is what the cut takes. The dashed line marked Limits is the closest this cut can come within the limits, 12 feet from the trunk's face.
This cut takes 32 percent of the critical root zone, past a quarter of it, the lowest limit the sources set, so the tree may decline. That is short of the 40 percent at which Fairfax County warns that a tree may not survive. On Purdue Extension's wider zone of 1.5 feet per inch it takes 38 percent, past its quarter too.
At 6 feet from the trunk, the cut is no closer than three trunk diameters, 6 feet, the closest Bartlett Tree Research Laboratories prefers for a cut on one side.
The cut is inside the structural root zone, 12 feet, which Arlington County calls the area essential for the tree's stability. If the tree could reach a house, a road, a car or a place people gather when it falls, any cut here is a question for a certified arborist first. Bartlett's laboratory asks for a tree risk assessment before any root is cut.
The cut's line comes within half the zone's radius, 12 feet from the trunk's center. The City of Austin allows a cut of 4 inches or less there and nothing deeper.
Under 12 inches deep: Purdue Extension finds a large portion of most tree roots in the upper 12 inches, so a shallow cut still takes most of what it crosses. The share counts the same at any depth.
The figures assume level ground, drained soil and a sound, upright tree. In saturated soil, Bartlett's pull tests found a tree much less stable when pulled toward the cut roots. Bartlett counts three trunk diameters as too close for a leaning tree, one with root decay or one with pavement over its other side. If pavement already covers the far side, choose two sides. The University of Florida adds that shallow, compacted or poorly drained soil makes the same cut more injurious. On a slope, a level cut also lowers the grade on its uphill side, and Bartlett keeps every cut in the natural grade outside the dripline.

How old is a 24-inch trunk? The tree age calculator reads the same measure.

How this was worked out: 11 rules and their sources
  • Critical root zone: the City of Austin's Environmental Criteria Manual sets its radius at "a number of feet equal to the diameter in inches of the tree". Arlington County and Fairfax County use the same rule. 24 in × 1 ft = 24 ft.
  • A wider zone: Purdue Extension multiplies the diameter "by 1.5 to get the distance in feet" for trees grown in woods and for young trees, 36 ft here. Mississippi State Extension gives 1.25 feet per inch, 30 ft, and 1.5 for sensitive trees. The City of Austin's arborist may ask for 1.25 to 1.5 times the zone around a species less resilient to development, such as post oak. The estimator follows 1 foot per inch, the rule of three governments and the zone Austin's and Fairfax County's limits are measured on.
  • Structural root zone: Arlington County's standard detail defines it as the area essential for the tree's stability, generally six trunk diameters from the base of the trunk. 24 in × 6 = 144 in, or 12 ft. Bartlett's five to six trunk diameters for cuts on more than one side agree. Mississippi State Extension says the root plate reaches no more than about 10 feet, at about 24 inches of trunk. The estimator keeps six diameters, since Bartlett's distances grow with the trunk and its researchers urge more caution on larger trees.
  • The share: the part of the critical root zone's area beyond the cut. The cut's line is 7 feet from the trunk's center: your 6 feet plus half the trunk, 12 inches. That is 0.292 of the radius of 24 feet. The circle beyond a straight line there is 1.275 − 0.292 × 0.957 = 0.996, divided by π: 31.7%. Here 1.275 is the arccosine of 0.292, and 0.957 the square root of 1 − 0.292². On Purdue's wider zone the same cut takes 38 percent.
  • The limits: Purdue Extension writes "Do not allow more than 25 percent of the roots in the PRZ to be damaged", its protected root zone of 1.5 feet per inch. University of Maryland Extension finds many recover "if the damage does not exceed 1/4 of the total root zone". Fairfax County warns that past 40 percent of the zone "the tree may not survive", and Mississippi State Extension writes "Limit root loss to 40 percent or less." The City of Austin keeps "At least fifty percent of the total area" of the zone at natural grade. The sources measure on different zones: Fairfax County's and Austin's are set on the 1-foot zone the estimator follows, Purdue's quarter is tested on its 1.5-foot zone as well, and Maryland's and Mississippi State's are applied to the 1-foot zone's area, the estimator's own reading.
  • Stability: Bartlett Tree Research Laboratories gives "three times the DBH" as the preferred minimum for a cut on one side, and "5 to 6 times the DBH" for cuts on more than one side. 24 in × 3 = 72 in, or 6 ft. Closer than 1.5 trunk diameters, 3 ft, "it is very likely that tree stability will be affected", and Bartlett says removal should be considered.
  • Austin's inner circles: within half the radius, 12 ft from the trunk's center, the City of Austin allows "cut or fill of four inches or less". Within a quarter, 6 ft, "No cut or fill is allowed".
  • The closest distance within the limits: a straight cut past one side takes a quarter of the zone when its line is 0.404 of the radius from the trunk's center, 9.7 ft. That is 8.7 ft from the trunk's face. Bartlett's minimum for a cut on one side is 6 ft, and the structural root zone reaches 12 ft; the farthest of the three is 12 ft. On Purdue's wider zone it is 13.5 ft.
  • Measuring: you measure from the trunk's face. Austin's circles are centered on the tree, so the share and Austin's lines add half the trunk. Bartlett measures from the trunk and Arlington from its base, and your figure is compared with theirs as it stands.
  • Depth: Purdue Extension finds that "a large portion of most tree roots grow in the upper 12 inches of the soil profile". The estimator counts the same area at any depth, and the depth changes only Austin's line.
  • A second opinion: Mississippi State Extension, after Coder, gives a trench at 60 percent of the radius a loss of "30 percent of the critical root area". The ground beyond such a line is 14 percent. Its figure matches the share of directions from the trunk that the line crosses, 30 percent. By that count this cut takes 41 percent. The estimator follows the ground, the measure Austin's rule uses.

These are estimates for planning, not an arborist's verdict. Roots do not grow in a perfect circle: a street or a slab foundation stops them, which is why Austin lets its arborist redraw the zone where roots are absent. Keep machines, stacked materials and fill off the rest of the zone, as The habitat around a tree explains. How far roots spread and what trenches do to them is in Tree roots run shallow and wide, not deep. Cut support roots can decay and fail years later, Bartlett's laboratory warns, and Fungus on a tree is not a death sentence tells when decay matters. Questions the page leaves open can go to us through the support page.

How to dig near a tree

  • Measure to the edge of the digging. The City of Austin draws the line where the excavation runs, not where the finished edge sits, since a curb is dug out behind its back.
  • Any tree. The estimator needs only the trunk's diameter, so it covers every tree and shrub we grow, and any other with a trunk.
  • Mark a sensitive or young tree. Purdue Extension and Mississippi State Extension give a tree grown in woods with a narrow form, a young tree or one in poor health a wider zone, 1.5 feet per inch. Choose Sensitive or young for such a tree, and the estimator reads the share and every limit on that zone.
  • Read the first line. The result opens with the gravest verdict that applies. Past 40 percent of the zone, Fairfax County warns that the tree may not survive, and Mississippi State Extension says to move the trench. Inside 1.5 trunk diameters, Bartlett Tree Research Laboratories finds stability very likely affected. Past a quarter, the cut is beyond the limit Purdue Extension and University of Maryland Extension give. Inside Arlington County's structural root zone, a certified arborist comes first, as Bartlett's laboratory asks for any root cutting. Otherwise the cut is within the limits the sources give. Past the tested 60 inches, a trunk's figures follow the same rules, under a warning above the verdict that sends the cut to a certified arborist on site.
  • Go under instead. Bartlett Tree Research Laboratories and the City of Austin both name boring or tunneling under the roots as the alternative to a trench.
  • Expose the roots, then cut them clean. Bartlett's laboratory calls a trencher or an excavator one of the worst ways to cut roots. Dig by hand, with air or with water, and cut with a sharp saw.
  • Spare the big roots. Bartlett's laboratory avoids cutting a root over 3 inches across wherever it can, and on a mature tree any root over 2 inches.
  • Move the walk, or bridge it. Bartlett's laboratory curves a sidewalk around a tree or raises it over the roots, which spares the large roots that hold the tree up.
  • Backfill and water the same day. Purdue Extension asks for the trench to be backfilled within an hour of cutting roots and the tree watered within 24 hours.
  • Look up at the crown. Bartlett's laboratory finds that root cuts outside a normal dripline rarely cause permanent damage, and Purdue Extension keeps all work out from under it.
  • Keep machines off the rest of the zone. Purdue Extension warns that compacting the soil around a tree destroys its fine absorbing roots, so keep vehicles and stacked materials off it.
  • Watch for years. Purdue Extension finds that a tree often takes several years to show construction damage, so a tree that looks well the next summer may still decline.
  • The address carries the inputs. A link copied from the estimator opens with the same trunk, distance, cut, depth and tree. The page draws the estimate and its plan view before any script runs, so a shared link and the page's Markdown copy show the figures themselves.

Common questions

How do you calculate a tree's critical root zone?

The City of Austin, Arlington County and Fairfax County give it a foot of radius per inch of trunk diameter at 4.5 feet, so a 16-inch trunk's zone reaches 16 feet. The sources disagree on its size: Purdue Extension gives a sensitive or young tree 1.5 feet per inch.

How close can you dig to a tree without killing it?

Bartlett Tree Research Laboratories prefers a cut on one side no closer than three trunk diameters, and finds stability very likely affected inside 1.5 trunk diameters. For a typical 16-inch trunk, our estimator's closest one-sided cut within every limit is 8 feet, the structural root zone's edge.

How much of a tree's roots can you cut?

The sources' limits run from a quarter to a half: University of Maryland Extension finds many trees recover when root damage stays within a quarter of the root zone. Past 40 percent of the critical root zone, Fairfax County warns the tree may not survive.

What is the structural root zone of a tree?

Arlington County calls it the area essential for the tree's stability, generally six trunk diameters from the trunk's base, so 8 feet for a 16-inch trunk. Any cut inside it, on a tree that could hit a house, a road or people, goes to a certified arborist first.

Is the critical root zone the same as the drip line?

Not in the rules the estimator follows: the City of Austin sets the zone at a foot of radius per inch of trunk diameter, whatever the crown. UF/IFAS Extension fences a tree to its drip line and still expects half or more of its roots affected by construction.

The critical root zone follows the City of Austin's Environmental Criteria Manual, section 3.5.2, where its radius is "a number of feet equal to the diameter in inches of the tree". Austin measures the trunk "at 4-½ feet above grade", and a tree with several trunks as "the diameter of the largest trunk plus ½ the diameter of each additional trunk". Arlington County's standard detail 311300.3 and Fairfax County give the zone the same foot per inch. The sources disagree on its size. Purdue Extension's Construction and Trees multiplies the diameter "by 1.5 to get the distance in feet" for trees grown in woods and young trees. Mississippi State University Extension gives "1.25 feet of protection radius for every 1 inch of stem diameter", and 1.5 for sensitive trees. The estimator follows the foot per inch, since Austin's and Fairfax County's limits are measured on that zone, and shows Purdue's wider zone beside it. With Sensitive or young chosen, it reads the share and every limit on Purdue's wider zone instead. Purdue gives that zone to "sensitive trees that have been growing naturally in a wooded area with a more narrow form, or juvenile trees", and Mississippi State to "species sensitive to damage". Purdue also writes that "newly planted or younger trees typically are more resilient in construction zones", and names juvenile trees for the wider zone all the same. Mississippi State takes "1.5 feet per inch of stem diameter, or the dripline, whichever is greater" for such a tree; the estimator asks nothing of the crown, so the dripline is not applied. Arlington County takes a tree with several stems as the square root of the sum of their squares, a smaller figure, and the hint gives Austin's.

The structural root zone is Arlington County's: the area essential for the tree's stability, generally six trunk diameters from the base of the trunk. The stability distances are those of Bartlett Tree Research Laboratories. Its report on root pruning gives "5 to 6 times the DBH" as the preferred minimum, and "three times the DBH" for cuts on one side only. Its pull tests on young red maples and willow oaks are reported in Getting to the Root of Tree Stability and Construction. They found "a measurable change in tree stability when cuts are made closer to the trunk than three times the trunk diameter". Bartlett's report on sidewalk repair near trees adds that inside 1.5 trunk diameters "it is very likely that tree stability will be affected". Mississippi State caps the root plate at about 10 feet. The estimator keeps six diameters for every trunk, since Bartlett's distances grow with the trunk and its researchers urge more caution on larger trees. The University of Florida reports experts who keep cuts on mature trees "6 to 8 inches from the trunk for each inch in trunk diameter", and others three to five trunk diameters. That page has since left the university's site, and it is read from the Internet Archive's copy of January 21, 2026.

The limits on the share run from a quarter to a half. Purdue Extension writes "Do not allow more than 25 percent of the roots in the PRZ to be damaged", its protected root zone. University of Maryland Extension finds many recover "if the damage does not exceed 1/4 of the total root zone". Fairfax County warns that past 40 percent of the zone "the tree may not survive", and Mississippi State writes "Limit root loss to 40 percent or less." The City of Austin keeps "At least fifty percent of the total area" of the zone at natural grade, and counts a tree as removed when that fails. The estimator calls a quarter or less within the limits, since two sources set it and it is the lowest. Past 40 percent it calls decline likely, the line of Fairfax County and Mississippi State, and Austin's half is shown as the permit limit it is. Each source sets its figure on its own zone. Fairfax County's and Austin's are set on the foot-per-inch zone the estimator follows. Purdue's quarter is set on its 1.5-foot zone, so the estimate tests it there as well and says whether the cut passes it. Applying Maryland's and Mississippi State's to the foot-per-inch zone's area is the estimator's own reading.

The share is the area of the zone beyond the cut, by the geometry of a circle cut by a straight line. Mississippi State's trench guide, after Coder, counts more: by it, a trench at 60 percent of the radius loses "30 percent of the critical root area", where the area beyond is 14 percent. The estimator follows the area, the measure Austin's rule uses, and shows the other count with each answer. Austin allows "cut or fill of four inches or less" within half the zone's radius and none within a quarter. A cut of any depth is counted the same, since Purdue's Why Is My Tree Dying? finds that "a large portion of most tree roots grow in the upper 12 inches of the soil profile".

Bartlett's pull tests found that "if the soil is saturated with water, the tree is much less stable when pulled toward the cut roots". Its root pruning report calls three trunk diameters "too close if there is pavement over the other side of the root system", or if the tree leans or has root decay. The University of Florida finds root cuts more injurious "on shallow, compacted soils or on soils that drain poorly". On a slope, Bartlett's report on grade changes puts every cut in the natural grade outside the dripline. Preventing Construction Damage to Trees warns that cut roots can lead to "structural decay of support roots" and failure years later. UF/IFAS Extension fences a tree to its drip line and warns that "Even with this method, 50% or more of the roots will be impacted by construction."

It is an estimate for planning, not an arborist's verdict. How far roots spread, and what trenches and fill do to them, is in Tree roots run shallow and wide, not deep. Keeping weight and fill off the rest of the zone is in The habitat around a tree is part of the tree. Fungus on a tree is not a death sentence tells when decay in a cut root matters. Questions the page leaves open can go to us through the support page.

The address carries the root-cut estimator's inputs, so a link opens it filled in, and Copy link on a result writes one: dbh (the trunk diameter in inches), distance (the feet from the trunk to the digging), cut (one for a straight cut past one side, two for two sides, around for a cut all the way round), depth (shallow for under 12 inches, deep for 12 or more), tree (typical, or sensitive for a sensitive or young tree). For example, /tools/root-cut/?dbh=16&distance=6&cut=one&depth=shallow&tree=typical.