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Tree leaves calculator

Use your own leaf area index, a plate covered with representative leaves and a measured packing sample. Results scale with these assumptions.

Calculator

Leaves per tree or pile
75,000.000000
Total estimated leaves
75,000.000000
Leaf area index
3.000000
Crown projection diameter
10
Plate diameter
20
Equivalent leaves covering plate
10.000000
Sampling plate area
314.159
Crown projection area
78.5398
One-sided leaf area per tree
235.619
Total leaf mass
75
Leaf volume at calibrated packing
0.392699
Usable volume per bag
50
Whole bags needed
8
Mass of a full bag
9.5493
Packing density (leaves per m³)
190,985.931710

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How this calculator works

Leaf area index (LAI) is one-sided leaf area divided by ground projection area. Cover a circular plate once without overlaps: plate area divided by leaf count estimates a mean leaf area. A circular crown and supplied LAI then give leaf count. No universal species LAI is assumed. A counted spherical sample estimates leaves per packed volume; it must have the same compaction and moisture as the pile or bags. Pile mode assumes a cone. Mass uses your measured mean leaf mass, and whole bags round up. These are sampling estimates, not an exact census.

Formula

N = LAI x (crown diameter / plate diameter)² x leaves on plate. Sample volume = pi d³/6. Conical pile volume = pi D²h/12. Bags = ceiling(total leaves / packing density / bag volume).

Worked example

A 20 cm plate with 10 leaves and a 10 m crown at LAI 2 gives 50000 leaves. Two trees give 100000 leaves, or 100 kg at 1 g per leaf. A 10 cm spherical sample holding 100 leaves implies about 0.524 m³ of packed leaves, needing 11 bags of 50 L.

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Frequently asked questions

Why must I enter LAI?

LAI changes with season, tree health, site and measurement convention. A tree name alone cannot determine it reliably.

Can I mix wet and dry samples?

No. Use the same moisture and packing state for the counted sample, bag volume and mean leaf mass.

What does plate coverage mean?

Use a single non-overlapping layer of representative leaves. Avoid gaps or measure their covered area separately; a plate full of overlapping leaves biases the mean area.

Sources

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