Tree Spacing Calculator
Free Tree spacing Calculator for trees & forestry. Enter variables to compute results with formulas and detailed steps.
Reviewed by Daniel Agrici, Founder & Lead Developer
Formula
TPA = 43,560 / (Row Spacing x Within-Row Spacing)
Trees per acre equals 43,560 square feet (1 acre) divided by the area allocated to each tree. For square spacing, this is spacing squared. For triangular spacing, row spacing equals the tree spacing times sqrt(3)/2.
Worked Examples
Example 1: Pine Plantation (Square)
Problem:Calculate trees per acre for a pine plantation with 10-foot square spacing.
Solution:Area per tree = 10 x 10 = 100 sq ft\nTrees per acre = 43,560 / 100 = 436 TPA\nTrees per hectare = 436 x 2.47 = 1,077 TPH
Result:436 trees per acre
Example 2: Orchard (Triangular)
Problem:An apple orchard uses triangular spacing with 25 feet between trees. Calculate trees per acre.
Solution:Row spacing = 25 x sqrt(3)/2 = 21.65 ft\nArea per tree = 25 x 21.65 = 541.27 sq ft\nTrees per acre = 43,560 / 541.27 = 80 TPA
Result:80 trees per acre
Frequently Asked Questions
What is the best tree spacing for a plantation?
Optimal tree spacing depends on species, site quality, and management goals. For timber production, pine plantations typically use 8x8 to 10x10 foot spacing (435-680 trees per acre). Christmas tree farms use 6x6 to 8x8 foot spacing. Fruit orchards vary widely: apple trees need 20-30 feet, while dwarf varieties can be as close as 8-12 feet. Closer spacing produces more trees but increases competition, requiring earlier thinning. Wider spacing reduces establishment costs and delays the need for thinning.
How does spacing affect tree growth?
Wider spacing gives each tree more sunlight, water, and nutrients, promoting faster diameter growth and larger crowns. Trees in wide spacing develop more taper (thicker at the base relative to height) and more branches. Closer spacing promotes height growth as trees compete for light, producing straighter, less tapered stems with fewer branches, which is desirable for lumber quality. However, overly close spacing stunts growth and increases mortality from competition. Forest managers balance these effects using stand density management diagrams.
How do you calculate trees per acre from spacing?
For square spacing, divide 43,560 (square feet per acre) by the spacing squared. For example, 10-foot spacing gives 43,560 / (10 x 10) = 436 trees per acre. For rectangular spacing, divide 43,560 by the product of row spacing and within-row spacing. For triangular spacing, divide 43,560 by the product of within-row spacing and row spacing (which equals spacing x sqrt(3)/2). For metric calculations, one hectare equals 10,000 square meters.
References
Reviewed by Daniel Agrici, Founder & Lead Developer · Editorial policy