The quick answer
A simple benchmark to start with
As a rough, customer-facing benchmark we use a simple price per centimetre of stump diameter, measured across the widest part of the stump:
Standard access
~£3/cm
75cm or wider, and not through the house.
Restricted access
~£5/cm
Under 75cm wide, or access through the house.
These are useful benchmarks — not the formula we actually use to calculate your estimate.
For example, a 50cm stump at the simple Standard Access benchmark is 50 × £3 = £150. But the actual calculator goes further. It considers the stump diameter, the tree species, the access, the site conditions and the number of stumps — then predicts the amount of work required and converts that workload into a price.
The big picture
How our pricing works
Rather than pricing purely on diameter, our model asks a more useful question: how much work is this particular stump likely to require? Each input feeds into the next, ending in a single estimate.
- Stump diameter
- Predicted grinding time
- Tree species adjustment
- Access
- Site conditions
- Machine + operator + attendance
- Final estimate

Step 1
Stump diameter
Measure across the widest part of the stump, at roughly ground level. The calculator accepts centimetres or inches (1 inch = 2.54cm).
Crucially, grinding time does not increase in a straight line with diameter. Our current Standard Access baseline formula is:
Standard Access baseline (grinding minutes)
Where T is the predicted grinding time in minutes and D is the stump diameter in centimetres. Because the exponent is greater than 1, larger stumps become disproportionately more time-consuming.
| Diameter | Predicted grinding time |
|---|---|
| 30cm | ≈ 3.6 minutes |
| 50cm | ≈ 8.9 minutes |
| 60cm | ≈ 12.2 minutes |
| 75cm | ≈ 18.1 minutes |
| 100cm | exactly 30 minutes |
| 125cm | ≈ 44.5 minutes |
| 150cm | ≈ 61.3 minutes |
These are predicted grinding minutes before any species adjustment — not the total time on site.
A stump twice the diameter can represent considerably more than twice the grinding work.
Why the exponent is 1.7601
The shape of the curve was derived from published stump grinder performance benchmark data — approximately:
300mm stump
3.5 min
600mm stump
9 min
1000mm stump
30 min
A power-law fit to that performance data produced an exponent of approximately 1.7601. This does not make the model perfect — it gives us a rational starting curve that we can calibrate against our own real-world job data over time.
Step 2
Tree species
Two stumps of identical diameter do not necessarily grind at the same rate. Our calculator uses Janka hardness as a practical proxy for the differences between species.
We're transparent about this: Janka hardness measures resistance to indentation. It is not a direct measurement of stump-grinding cutting resistance. Actual performance is also affected by wood density, moisture, grain, decay, root structure, soil contamination and cutter condition. But Janka gives us an objective, repeatable starting point.
Species factor
Where J is the species' Janka value and 2000 N is our reference baseline. We deliberately use the square root to dampen the effect of hardness: a species with twice the Janka hardness is not automatically assumed to take twice as long to grind.
Leylandii baseline
Leylandii working value: 2000 N.
√(2000 / 2000) = 1.00
Leylandii therefore has a species factor of exactly 1.0.
Unknown / Not sure
Most customers won't know the species. Working value: 3000 N.
√(3000 / 2000) = 1.2247
An unknown stump receives about 22.5% more predicted grinding time — a modest uncertainty allowance, not an assumption that it's an extremely hard species.
Species examples
The calculator contains a much larger species database. These are working estimation inputs, not claims that Janka hardness perfectly predicts grinding:
| Species | Janka (N) |
|---|---|
| Leylandii | 2000 |
| Sweet Chestnut | 3000 |
| Oak | 4980 |
| Silver Birch | 5360 |
| Ash | 5900 |
| Beech | 6460 |
| Yew | 6760 |
| Hawthorn | 7000 |
| Hornbeam | 7500 |
Combining diameter and species
Take a 50cm stump. The baseline grinding time is:
Apply the species factor and the same diameter gives different times:
50cm Leylandii
8.86 min
× 1.00
50cm Unknown
10.85 min
× 1.2247
Same diameter, different species, different predicted grinding time.
Step 3
Access
The calculator has two access categories.
Standard access
75cm or wider, and not through the house.
T = 30 × (D / 100)1.7601
Customer benchmark: ~£3/cm
Restricted access
Under 75cm wide, or access through the house.
Restricted work can require completely different equipment, so we use a separate productivity model calibrated to about 10 grinding minutes for a 14-inch (35.56cm) stump — rather than adding an arbitrary surcharge.
Customer benchmark: ~£5/cm
You can see restricted access in practice in our tight-access stump grinding work.
£3/cm and £5/cm are simple customer benchmarks. They do not determine the actual calculator price.
Step 4
Site conditions
Reaching the stump is only part of the work. The calculator uses three categories, and these multipliers affect productive operator time rather than simply increasing machine grinding time.
| Condition | Multiplier | 30 min becomes |
|---|---|---|
| Normal | ×1.50 | 45 operator minutes |
| Difficult | ×1.75 | 52.5 operator minutes |
| Very difficult | ×2.00 | 60 operator minutes |
- Preparing / exposing the stump
- Stones and rocks
- Repositioning equipment
- Protection boards
- Working around walls, fences and paving
- Chainsaw preparation
- Raking grindings
- General preparation and tidying
It's all work, even when the grinding wheel isn't cutting wood.
Step 5
Turning time into money
We're fully transparent about our current commercial model. There are three components.
Attendance
£100
per visit
Machine grinding
£250
per hour
Operator time
£100
per hour
Core price formula
Where T is total predicted grinding minutes and C is the site-condition multiplier (1.50 / 1.75 / 2.00).
Why £100 attendance?
Even a very small stump requires travel, transporting specialist machinery, unloading, access and setup, loading again and travelling away. That fixed £100 happens once per visit — which is exactly why a tiny stump can't simply be priced by multiplying its diameter by £3.
Why £250/hour machine time?
This is a commercial machine selling rate, not simply the cost of fuel. It contributes towards machinery investment, depreciation, fuel, grinding teeth, belts, filters, servicing, repairs, maintenance, transport, downtime and eventual replacement.
Why £100/hour operator time?
Productive labour is more than the minutes spent physically grinding. If the operator is preparing the stump, repositioning equipment, digging around an obstruction or clearing the job, they're still working. The productive operator rate is £100/hour.
Putting it together
A complete worked example
50cm stump, species Unknown / Not sure, Standard access, Normal conditions.
- 1
Diameter
30 × (0.5)1.7601≈ 8.86 minutes
- 2
Species
Unknown = 3000 N → √(3000 / 2000) = 1.2247
8.86 × 1.2247≈ 10.85 grinding minutes
- 3
Machine
10.85 / 60 × £250≈ £45.21
- 4
Operator
10.85 × 1.50 = 16.28 productive minutes
16.28 / 60 × £100≈ £27.13
- 5
Attendance
Fixed, once per visit£100
Raw price
Final price rounding
We don't quote awkward prices like £172.34. The calculator always rounds the final result up to the nearest £5.
| £170.00 | → £170 |
| £170.01 | → £175 |
| £172.34 | → £175 |
| £175.00 | → £175 |
| £175.01 | → £180 |
So the worked example becomes a £175 estimated price.
Estimated time on site
Grinding time isn't the same as total time on site. Our scheduling model adds a fixed 20-minute setup/load allowance, then rounds up to the next 15-minute block:
Site time
20 + (10.85 × 1.50) ≈ 36.28 minutes → rounds up to 45 minutes
£175
45 minutes estimated time on site
The 20-minute scheduling allowance isn't charged as a separate labour item — attendance is already represented by the fixed £100 visit component.
Step 6
Multiple stumps
This part matters. We never simply combine stump diameters before applying the grinding-time curve. Three 50cm stumps are not calculated as one 150cm stump — because the diameter/time relationship is nonlinear, that would incorrectly treat three moderate stumps as one enormous stump.
Instead, each stump is calculated individually
Each stump can also have its own species — for example a 50cm Leylandii, a 70cm Oak and a 35cm Unknown each get their own diameter/species calculation before the grinding times are combined.
Why multiple stumps are better value
The £100 attendance component occurs only once per visit. If several stumps are completed while we're already at the property, the cost of attending is shared, so the effective £/cm naturally falls. This isn't an arbitrary bulk discount — it's the natural result of completing several stumps efficiently during one visit.
Multiple-stump worked example
3 × 50cm Unknown stumps, Standard access, Normal conditions. Each predicted grinding time is ≈ 10.85 minutes.
- 1
Total grinding time
10.85 × 3≈ 32.55 minutes
- 2
Machine
32.55 / 60 × £250≈ £135.63
- 3
Operator
32.55 × 1.50 = 48.83 productive minutes
48.83 / 60 × £100≈ £81.38
- 4
Attendance
Once£100
Raw price → rounded up to nearest £5
Total diameter
150cm
Estimate
£320
Effective rate
£2.13/cm
Multi-stump saving benchmark
The calculator can show how the estimate compares with the simple benchmark rate (£3/cm Standard, £5/cm Restricted). For the example above:
150cm × £3 = £450 benchmark · estimate £320 · difference £130
Multi-stump saving: £130 saved (29%)
Compared with our standard £3/cm rate.
The benchmark does not influence the actual price. The saving is only displayed when there are two or more stumps and the calculated estimate is below the relevant benchmark. Restricted Access uses the £5/cm comparison.
Good to know
What's included?
Standard grinding depth
Approximately 8 inches / 20cm below ground level.
Wood chips / grindings
Normally raked back into the hole. Removal can be quoted separately.
Surface roots
Not automatically included in the calculator. If particular roots need removing for paving, landscaping or another project, they can be assessed separately.
Stump grinding does not mean excavating the entire underground root system — it removes the stump and main root mass to the depth above.
Being honest
What the formula cannot know
This is an estimation model. A stump is a natural object in an uncontrolled environment, and actual performance can be affected by things the calculator simply cannot see:
- Moisture
- Decay
- Unusual root structure
- Soil and stones
- Concrete
- Embedded metal
- Old fencing
- Underground services
- Stump height
- Cutter condition
- Exact access
- Unusual site constraints
And, as above, Janka hardness is a proxy — not a direct measure of stump-grinder cutting resistance. So the calculator produces an estimate, and we ask you to send photos afterwards so we can confirm the quote.
Why we built the model
We could simply charge a flat £3/cm. That would be easier — but it would imply that every stump of the same diameter is the same job. Our approach instead asks: how much work is this particular stump likely to require?
The objective isn't to make the formula complicated. It's to make the estimate increasingly accurate.
As we complete real jobs, we compare predicted grinding time against actual grinding time, predicted site time against actual site time, and predicted workload against actual workload. Real-world data then refines the diameter curve, baseline grinding times, species adjustments, site-condition allowances and restricted-access performance — so the calculator improves as our job dataset grows.
For the curious
The formula at a glance
The current Standard Access mathematical engine behind the estimate, in one place:
Species factor
Grinding time for each stump
Multiple stumps
Productive operator time (C = 1.50 / 1.75 / 2.00)
Raw price
Final price
Estimated site time
Get your stump grinding estimate
You don't need to understand any of the maths above to use the calculator.
- 1Add your stump size and species
- 2Choose the access
- 3Choose the site conditions
Once you have your estimate, send us a few photos of the stump and access on WhatsApp and we'll confirm the quote.