Plant Population Calculator
Count how many plants fit in your field for any spacing – rectangular, square or triangular planting.
Enter your details
Planning seedlings, saplings or drip emitters? Enter your field size and spacing to find the number of plants per acre and for the whole field. Works for row crops, vegetables and orchards, including triangular (hexagonal) layouts.
About the Plant Population Calculator
Plant population – the number of plants per unit area – is one of the main levers on yield. Each crop has a range where it performs best. Below it, the crop doesn't use all the light, water and nutrients available; above it, plants compete and yields of individual plants fall.
This calculator converts spacing into population. It handles three layouts:
- Rectangular (rows): the usual layout for field crops and vegetables, with one distance between rows and another between plants in a row.
- Square: the same distance both ways, common in orchards and some plantation crops.
- Triangular (hexagonal): plants in each row sit opposite the gaps in the next row. At the same spacing it fits about 15% more plants than a square layout – popular for mango, citrus and high-density plantations.
Use the result to order nursery seedlings or saplings, plan drip emitters, or check whether your current spacing gives the recommended population. To work the other way – from a target population to a spacing – use the Plant Spacing Calculator.
How to use the Plant Population Calculator
- 1 Enter the area you are planting.
- 2 Choose your layout: rows, square or triangular.
- 3 Enter the spacing. For rows, give row-to-row and plant-to-plant distance; for square and triangular, give the single spacing.
- 4 If you plant more than one seedling per spot, enter plants per hill.
- 5 Press Calculate to see the plants for your field, per acre and per hectare.
The formula we use
Rectangular: Plants = Area ÷ (Row spacing × Plant spacing) × Plants per hill
Square: Plants = Area ÷ Spacing²
Triangular: Plants = Area ÷ (Spacing² × 0.866)The 0.866 in the triangular formula is sin 60°. In a triangular layout the rows are only 0.866 × the spacing apart, which is why more plants fit.
All measurements are converted to metres and square metres before calculating, so you can mix units freely.
Worked example
Tomato transplanted at 60 × 45 cm on 1 acre:
- Area per plant = 0.60 × 0.45 = 0.27 m².
- Plants = 4,046.86 ÷ 0.27 = 14,988 plants.
Mango orchard at 6 m spacing on 1 acre:
- Square: 4,046.86 ÷ 36 = 112 trees.
- Triangular: 4,046.86 ÷ (36 × 0.866) = 129 trees – 17 more trees on the same land.
In practice, keep in mind that boundary rows, bunds and paths take up some space, so order a few percent fewer saplings than the theoretical figure, plus a margin for gap filling.
Things to keep in mind
- Net vs gross area. The calculator assumes the whole area is planted. Subtract the area of bunds, channels and paths for a real count.
- Keep extra seedlings. Nurseries usually advise 5–10% extra for gap filling after transplanting.
- Recommended spacing varies. Use the spacing recommended for your crop, variety and season.
Frequently asked questions
How do I calculate plant population per acre?
Divide one acre (4,046.86 m²) by the area each plant occupies. For 60 × 45 cm spacing, that is 4,046.86 ÷ (0.60 × 0.45) = 14,988 plants per acre.
What is the difference between square and triangular planting?
In square planting, trees sit at the corners of squares. In triangular planting, each row is shifted by half a spacing, so trees form equilateral triangles. Triangular planting fits about 15.5% more trees at the same spacing.
How many plants per acre at 1 × 1 metre spacing?
About 4,047 plants – one for every square metre of the acre.
Can I use feet for spacing?
Yes. Select "ft" next to the spacing. The calculator converts everything to metres internally.
Guides that use this calculator
Last updated . Spotted a mistake or need a unit we don't support? Tell us.