Calculate plant density per hectare from total count and land area, sample plots, or row and in-row spacing with stand percentage.
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Density Per Hectare Formula
The calculator uses one of three formulas depending on which tab you select.
Count and area:
Sample plots:
Plant spacing:
- D = density per hectare
- N = total count on the surveyed land
- A_ha = land area converted to hectares
- N_s = total count across all sample plots
- p = number of sample plots
- a_ha = area of one plot in hectares
- R = row spacing in meters
- S = in-row spacing in meters
- E = expected stand percentage (0–100)
One hectare equals 10,000 m². The sample-plot method assumes plots are representative of the full area. The spacing method assumes a uniform grid; staggered or contour layouts will deviate.
Reference Tables
Use these to sense-check your result against typical values.
| Crop or stand | Typical density (per ha) |
|---|---|
| Field corn | 75,000–90,000 |
| Soybeans | 300,000–450,000 |
| Wheat | 2,000,000–4,000,000 |
| Apple orchard (semi-dwarf) | 800–1,500 |
| Apple orchard (high density) | 2,000–4,000 |
| Coffee | 2,500–10,000 |
| Pine plantation | 1,000–2,500 |
| Grapevines | 2,000–6,000 |
| Unit | Equals (in hectares) |
|---|---|
| 1 acre | 0.4047 ha |
| 1 km² | 100 ha |
| 1 mi² | 258.999 ha |
| 1 m² | 0.0001 ha |
| 10,000 m² | 1 ha |
Worked Examples
Count and area. You counted 1,250 trees on 3.5 hectares. Density = 1,250 ÷ 3.5 = 357.1 trees per hectare.
Sample plots. Six 5 m × 5 m plots contained 48 seedlings. Sampled area = 6 × 25 m² = 150 m² = 0.015 ha. Density = 48 ÷ 0.015 = 3,200 per hectare.
Plant spacing. Rows at 0.75 m, plants at 0.25 m, 95% expected stand. Theoretical = 10,000 ÷ (0.75 × 0.25) = 53,333. Adjusted = 53,333 × 0.95 = 50,667 plants per hectare.
Which method should you use? Use count and area when you have a full census of a known field. Use sample plots for large areas where a full count is impractical. Use spacing when the field has not been planted yet and you are designing the layout.
