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Where: Y is the yield (volume, height, DBH, etc.) at times 1 and 2 and T 1 represents the year starting the growth period, and T 2 is the end year. Example: Say that the growth period is from age 5 to age 10, and the yield (height of the tree), is 14 feet at the beginning of the period and 34 feet at the end.
The mean annual increment (MAI) or mean annual growth refers to the average growth per year a tree or stand of trees has exhibited/experienced up to a specified age. For example, a 20-year-old tree that has a stem volume of 0.2 m 3 has an MAI of 0.01 m 3 /year.
The equation for exponential mass growth rate in plant growth analysis is often expressed as: = Where: M(t) is the final mass of the plant at time (t). M 0 is the initial mass of the plant. RGR is the relative growth rate. RGR can then be written as:
The above equation is an expression for computing the stand density index from the number of trees per acre and the diameter of the tree of average basal area. Assume that a stand with basal area of 150 square feet (14 m 2) and 400 trees per acre is measured. The dbh of the tree of average basal area D is:
Value = 17.27939*(diameter^2)*1.0279^(year-1985) ...assuming 2.79% inflation per year. [51] The right side of this equation is written to paste into Excel or Google to perform the calculation. Extrapolations from any model can vary widely, so value estimates for diameters larger than 30 inches (760 mm) may have to be capped so trees do not ...
By contrast, the (roughly) 300-year-old Ice Glen pine in Stockbridge, Massachusetts shows approximately half the annual growth rate of trees in the 90- to 180-year age range, averaging just 5.8 cubic feet (0.16 m 3) per year over a five-year monitoring period. Volume increased as a result of increases in both height and girth.
When stocking, a tree's basal area is measured. The basal area is a cross-sectional area of the stump taken about 4.5 feet (1.4 m) above the ground. [7] The equation for calculating the basal area of trees in a stand is Basal Area = 0.005454 DBH 2, where DBH is the diameter of the tree at the aforementioned measuring height. [7]
Some tree species (e.g. Pistacia aethiopica, Pistacia atlantica) can exist as small bushes and shrubs due to the extremes of their habitat, adverse conditions, or the excessive consumption by wildlife or livestock that hinders growth. [citation needed] Pistacia lentiscus is a very common plant related to P. terebinthus with which it hybridizes.