- Stand Density Index
**Stand density index**(also known as**Reineke's Stand Density Index**[*Reineke, L.H. 1933 Perfecting a stand-density index for even-aged forest. "Journal of Agricultural Research" 46:627-638*] after its founder) is a measure of the density of a stand of trees based on the number of trees per unit area anddiameter at breast height of the tree of averagebasal area . It may also be defined as the degree of crowding within stocked areas, using various growing space ratios based on crown length or diameter, tree height or diameter, and spacing. Stand density index is usually well correlated with stand volume and growth , and several variable-density yield tables have been created using it. Basal area, however, is usually satisfactory as a measure of stand density index and because it is easier to calculate it is usually preferred over SDI. [*Avery, Thomas & Burkhart, Harold. 2002. Forest Measurements 5*] Stand density index is also the basis for^{th}edition.Stand density management diagram s.**Calculating Stand Density Index**Plotting the logarithm of the number of trees per acre against the logarithm of the quadratic mean diameter (or the dbh of the tree of average basal area) of maximally stocked stands generally resulted in a straight-line relationship. [

*Nyland, Ralph. 2002. Silvicultural Concepts and Applications 2*] In most cases the line was used to define the limit of maximum stocking. This negatively sloped line, is referred to as the self-thinning line or the maximum-density line.^{nd}edition.The maximum density line is expressed by the equation: log

_{10}N = -1.605(log_{10}D) + kWhere N = number of trees per acreD = dbh of the tree of average basal areak = a constant varying with the species

When the quadratic mean diameter equals 10 inches, the log of N equals the Stand Density Index.

In equation form: log

_{10}SDI = -1.605(1) + kWhich means that: k = log

_{10}SDI + 1.605Substituting the value of k above into the reference-curve formula gives the equation:

log

_{10}N = log_{10}SDI + 1.605 - 1.605 log_{10}DThis equation can be rewritten as:

log

_{10}SDI = log_{10}N + 1.605 log_{10}D - 1.605The 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.

Let's assume that a stand with basal area of 150 square feet and 400 trees per acre is measured. The dbh of the tree of average basal area D is:

$sqrt\; frac\{150\}\{400\; imes\; .005454\}=8.29$

Substituting this value into the stand density equation gives:

log

_{10}SDI = log_{10}(400) + 1.605log_{10}(8.29) - 1.605 = 2.47SDI = 10

^{2.47}SDI = 295

The computed value of SDI is often compared to the species maximum to determine the relative "stand density" or stocking of the stand.

**References**

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