- : m

United States

Department nf

Agriculture

Forest S~yvlce

New Orleans,

Louislana

Research Paper

so-219

Novembt:r, 1985
SUMMARY

A prediction system is presented whereby stand and stock tables are calculated for young natural longleaf pine stands of varying initial density. Tables

can be output for stand conditions of 10 to 20 years of age, 300 to 1,500 initial

trees per acre (at age lo), and 70 to 80 feet in site index (index age 50). The

system also allows one to translate from density expressed as trees per acre at

an age between 10 and 20 years to basal area at age 20 and thereby gain entry

to another stand volume prediction and projection system for thinned natural

- longleaf pine that is operable for stand ages of 20 years and older.
Predicting Stand and Stock Tables from a Spacing Study in

Naturally Regenerated Longleaf Pine

Robert M. Farrar, Jr.

INTRODUCTION

Stand volume and volume growth prediction systems for natural, even-aged stands of southern pines

usually use basal area as the stand density variable,

and predictions usually are not feasible before about

20 years of age. Basal area is a very practical density

measure for stands about this age or older but not

very informative or useful if stands are younger, especially if many of the trees are less than 4-l/2 feet tall.

Since intensive management calls for volume and

growth information at these younger ages, methods

are needed to translate from one density measure at

an early age (such as trees per acre) to basal area at

a later age. The following paper outlines a system

developed to do this for young stands of natural longleaf pine (Pinus palustris Mill.) by predicting stand

and stock tables.

METHODS

Study Area

The data were gathered from a natural stand spacing study initiated in the winter of 1967-68 on the

Escambia Experimental Forest in south Alabama.

The study area was a 40-acre stand of dense, evenaged young longleaf pines, resulting principally from

seed-tree regeneration in 1957 and 1958. Seed-trees

were removed in 1961. In 1963, stand density ranged

from about 3,000 to 8,000 trees per acre and averaged

about 6,000. In 1967, when the study was installed,

the stand was 9 to 10 years old from seed. Tree sizes

then ranged from grass-stage seedlings to trees about

3 inches in d.b.h. and 20 feet tall. Dominant and

codominant trees averaged 6 to 10 feet in height. The

soil of the area is Alaga loamy sand, which is common

on ridges and upper slopes in the rolling middle Gulf

Coastal Plain. At about age 20, the site index (Farrar

1973) estimated on study plots ranged from 71 to 86

feet at 50 years and averaged 79 feet.

Treatments

Five tree-frequency densities were replicated three

times on l/&acre permanent plots with l/a-chain isolation strips in a completely randomized design.

Residual densities of exactly 300,600,900,1,200, and

1,500 trees per acre were initially established by manually cutting the trees that appeared poorest in vigor.

No record was kept of the numbers of trees removed.

All hardwoods with d.b.h. 2 1 inch were killed during

the summer of 1968, and the study area was prescription burned in the winters of 1973-74, 1975-76, and

1977-78. No subsequent thinnings have been made.

Inventory

All trees on the l&acre net plot were positively and

permanently identified. Their d.b.h. was measured to

the nearest one-tenth inch on all trees taller than

breast height, and a systematic sample was made of

total heights and heights to the live crown base by

measuring these heights on every sixth tree in each

l-inch d.b.h. class (including the zero class) to the

nearest foot. At least 2 trees were measured per d.b.h.

class, if available, and at least 10 were measured per

plot. Inventories were repeated at 2-year intervals

and occurred in the dormant season. In the winter of

1973-74, at about stand age 15 years, all dominant

and codominant sample trees were bored at 4 feet to

determine age (age = ring count + 7 years). At least

five trees were aged per plot. The mean age determined in this fashion agreed closely with the historical records of reproduction on the area. The last inventory reported on herein was made in the winter of

1977-78.

Analysis

Rather than analyze the stand characteristics and

volume production data to simply detect any significant discrete differences among treatments, it was

decided to employ techniques used to generate preFarrar is a Principal Mensurationist at Forestry Sciences Laboratory, Monticello, AR, Southern Forest Experiment Station, Forest ServiceUSDA, in cooperation with the Department of Forestry and the Arkansas Agricultural Experiment Station, University of Arkansas at

Monticello.

1
dieted stand and stock tables for unthinned pine plantations in relation to stand age, site index, and density. This would allow predictions for a range of stand

conditions (bounded by the limits of the data) rather

than simple treatment means. This approach necessitated the development of the following six groups of

prediction system components by site index and age at

the stand level and/or at the d.b.h. class level.

1. A stand-leuel predictor (eq. 3a) 1 for mean dominant height (dominant and codominant trees) that

uses a published site-index function to widen its utility. The published site-index function chosen (Farrar

1973) was the one for natural longleaf from USDA

Miscellaneous Publication 50 (U.S. Forest Service

19761, hereafter called MP50, because the trends of

dominant height observed in the study followed this

MP50 function better than other available site-index

functions. A given MP50 site-index value at index age

50 for a stand is translated to MP50 site index at

index age 20 (eq. 1). This latter value is used with the

dominant height function (eq. 3d) developed from

study data to extend the dominant height estimates

from age 20 down to age 10 (eq. 3a). The MP50 function could not be used alone because it does not allow

predictions below about age 15, and the study function could not be used alone because its limited data

base does not allow it to be a generally suitable siteindex function.

2. A stand-level function that predicts the survival

of all trees (eq. 4) and one that predicts the number of

surviving trees 1 inch d.b.h. and larger from age 10

into the future by 1 -year increments up to age 20 (eq.

5). For other species, a predictor for trees 1 inch d.b.h.

and larger would be the only one needed. But, since

longleaf has a grass-stage and trees can remain in

this stage for many years, the first predictor is also

necessary here. These functions are similar to a model

presented by Hamilton (1974).

3. A mean total height predictor for each 1 -inch

d.b.h. class (eq. 6a). This function essentially predicts

a proportion for each d.b.h. class that modifies stand

mean dominant height. This function is similar to the

model presented by Clutter and Belcher (1978).

4. A mean crown ratio predictor for each 1 -inch

d. b. h. class (eq. 7a). The underlying model is identical

in form to the one in eq. 6a, but employs stem length

(or height to the live crown base) as the dependent

variable.

5. A function that predicts the number of trees in

each 1 -inch d.b.h. class (eq. 8a). This predictor utilizes

the Weibull cumlative density function and estimates

of the “b” and “I?’ parameters that are predicted by the

stand variables age, dominant height, and trees per

acre (eq. 8b, 8~). The “a” parameter was fixed at 0.55

‘Numbers and letters refer to equations presented in Appendix A.

because it is possible for any natural longleaf stand

aged 10 through 20 years to have a tree in the first

l-inch d.b.h. class. The “b” and “c” parameter predictors were developed using the fitted values of “b” and

“c” from a maximum-likelihood program developed

for this purpose at the Southern Forest Experiment

Station (Bailey 1974).

6. A set of tree volume-defining functions (Farrar

1981) for natural longleaf pines (eq. 10-15).

All functions were fitted using ordinary least

squares multiple linear regression.

RESULTS AND DISCUSSION

All of the above groups and component parts are

presented in Appendix A, along with certain relative

statistics for each critical component in Appendix B.

Also, the components have been inserted into a

BASIC computer program (Appendix C) that allows

generation of stand and stock tables for stands having

the specifications and limits shown in table 1.

Appendix D shows example output from this program, stand and stock tables for ages 10, 15, 20; site

index 70 and 80; and 300,600,900, 1,200, and 1,500

initial trees per acre (all trees, at age 10). By modifying a few program lines, the program can predict tables for other combinations of stand initial and final

age, site index, and initial density within the above

limits on minimum and maximum values given in

table 1.

Several trends are evident upon inspection of these

Appendices. Survival of all trees (TSO) is inversely

related to initial density and is very good for the loyear period studied. The poorest survival was 88 percent at age 20 for 1,500 initial trees per acre at age 10

and site index 70. Similarly, the poorest survival on

site index 80 was 95 percent for otherwise similar

conditions. These trends probably hold through age

20, but beyond that one would expect survival to become relatively poorer for site index 80 as competition

becomes more intense on these better sites (Dell and

others, 1979).

The modal d.b.h. class advances with age and the

advance is most rapid for the lowest initial stand denTable l.-Specifications and limits of stand and stock tables

Stand Minimum Maximum

variable value value

Age (years)

Site index (feet)

(MP50, index

age = 50)

Initial number of

trees per acre

at 10 age

10 20

66 85

300 1,500

2
sity. This effect is shown in figure 1 for initial densities of 300 and 1,500 trees on site index 70. Increasing

site index accelerates the advance.

The number of trees per acre 1 inch d.b.h. and

larger (TSl) is directly related to initbl density, increases with age, and approaches and asymptote or

declines slightly due to mortality in the higher densities (fig. 2). Increasing site index tends to increase the

number of such trees at any age for any initial density.

The quadratic mean d.b.h. is negatively related to

density, appears to approach an asymptote with density, and increases positively with age (fig. 3). The

effect of site index is positive. The arithmetic mean

d.b.h. response is similar but the values are, of course,

smaller.

Total basal area per acre is positively related to

initial density and age and appears to approach an

asymptote with density (fig. 4). Over the lo-year period, the growth rate accelerated during the last 5

years for the lowest initial density and decelerated for

the highest. The effect of site index is positive.

Mean crown ratio has a differential response to initial density and age (fig. 5). At the three lower densities it increases to a peak at middle ages and then

declines with age, but at the two higher densities it

generally declines slowly to the middle ages and then

declines more rapidly. It appears to approach an

rS

I \

i ’

I ’

TSOIO

! \

- 300

2 4 6 0 I O

D. B.H. (INCHES)

Figure l.-Predicted d.6.h. distributions for 300 (solid line) and Figure 3.-Predicted quadratic mean stand d.b.h. at ages 10

1,500 (dashed line) initial trees per acre at ages 10, 15, through 20 years by initial stand density at age 10, site

and 20 years, site index 70. ino!ex 70.

1,500 c

TSOIO

“oL ’

1 I I I

IO 112 14 I6 19 2 0

AGE (YEARS)

Figure 2.-Predicted number of trees per acre (d.6.h. E 0.6”) at ages

10 through 20 years by initial stand density at age 10,

site index 70.

/ - 900

-*- 1,200

--- 1,500

I I I I I J

IO 12 I4 I6 I8 2 0

AGE (YEARS)

3
TSOIO

_---- 300

-..- 600

-.- 1,200

----1,500

AGE (YEARS)

Figure J.-Predicted total stand basal area per acre at ages 10

through 20 years by initial stand density at age 10, site

index 70.

40L '

I I I I I

0 IO 12 14 16 16 20

AGE (YEARS)

Figure B.-Predicted stand mean crown ratio percentage at ages 10

through 20 years by initial stand density at age 10, site_

index 70.

asymptote with density. The general effect of increasing site index is to lower the crown ratio about 5 to 10

percentage points.

The total cubic-foot volume, inside bark, per acre

(TV11 response is similar to the response of total basal

area to age and initial density except that the growth

rate appears to be accelerating for all densities over

the lo-year period (fig. 6); probably because height

growth is overcoming any reduction in basal area

growth. The effect of site index is positive. The greater

the age, site index, and initial density; the greater the

total volume.

Merchantable cubic-foot volume, inside bark

(VI43), is zero for all densities and both sites at age 10.

By age 15, the 900-trees-per-acre density has the most

volume on site index 70 (fig. 7) and 80. By age 20,

volume has increased at an increasing rate such that

the 1,200-trees/acre density has the most volume on

site index 70 and the 1,500-trees/acre density on site

index 80.

The merchantable mean annual volume (VI43) increments to age 20 are not striking, but the responses

between age 10 and 20 are impressive, particularly

for the last 5 years. For the period age 10 to age 20, the

maximum predicted growth rates are 61.2 cubic feet/

acre/year for site index 70 and 1,200 initial trees. For

site index 80, the maximum is 101.5 cubic feet for

1,500 initial trees. Assuming 80 cubic feet/cord, these

figures translate to 0.77 and 1.27 cords/acre/year. For

the last 5 years (age 15 to 201, the maximum rates are

99.7 and 170.5 cubic feet/acre/year for site indices 70

and 80, respectively, and both for initial densities of

1,500 trees. These figures translate to 1.25 and 2.13

cords/acre/year.

If maximum stand merchantable cubic-foot volume

production is desired, the results through age 20 do

not suggest any practical benefit from having more

than about 900 to 1,200 trees per acre at age 10 since

these densities produced maximum or near-maximum

volumes. However, if maximum total cubic-foot volume is desired, the highest initial density (1,500

TSOio) is indicated. This information supports earlier

conclusions (Farrar 1974) that to maximize early merchantable cubic-foot yields a density range of 500 to

1,000 established trees per acre appeared optimal and

that, for this purpose, precommercial thinning should

be considered only if stand density exceeded 1,000

crop seedlings at age 5 to 10 years. As the study continues, it may develop that a medium initial TSO

density will maximize early sawtimber volumes also.

TSOIO

____- JO0

-..- 600

- 900

-*-I,200

---,,500

0 IO 12 14 16 16 20

AGE (YEARS)

Figure B.-Predicted stand total cubic-foot volume, inside bark, per

acre at ages 10 through 20 years by initial stand density

at age 10, site index 70.

4
,-

>-

,-

)-

I-

,-

II0

AGE (YEARS)

Figure T.-Predicted stand merchantable cubic-foot volume, inside

bark, per acre at ages 10 through 20 years by initial

stand density at age 10, site index 70.

Preliminary results from this spacing study have

been reported in two previous publications (Farrar

1974, 1979a). At the time of the first (Farrar 1974),

neither the ages from seed (from increment borings)

nor the site index were determinable. Age, although

not specifically stated, was age from seed-tree removal which is 2 to 3 years younger than age from

seed. Average site index was estimated in surrounding 60-year-old stands on similar soils to be about 70

feet. If the data in Farrar (1974) are updated to reflect

the average age from seed (15 to 16 years) and the

average site index (MP50) of about 80, the results are

comparable to those presented herein.

In the second publication (Farrar 1979a) the ages

are from seed but the average site index was estimated to be in the 70 class (about 75) by the site-index

function in Farrar (1979b). If this site index is translated to MP50 site index, the value is about 80. Then,

with due allowance for a different survival function in

Farrar (1979a), the results are comparable. Since the

results reported in these two previous publications

were preliminary, they can be regarded to be superseded by the results reported herein.

To see, on the average, how well the prediction system reproduces certain observed stand values for the

15 plots at nomin.1 ages 10, 15, and 20 years; the - -

mean difference (d), percent mean difference (%d),

root mean square difference (RMSd), and root mean

square percent difference (RMS%d) were calculated

and are presented in table 2. The latter two measures

are comparable to absolute (algebraic sign ignored)

values. The “observed” values for each plot at each

age were determined by the procedures given by Farrar (197913) for plot inventory summary. Briefly, observed volumes were obtained by fitting a total height

function in terms of d.b.h. for each plot, using this

function in conjunction with the tree volume formulae

presented herein to estimate a volume for every tree

on the plot, and summing tree volumes to obtain plot

volumes. Observed trees per acre and basal area were

the actual values per plot. Observed ages were the

actual mean age at nominal ages 10,15, and 20 years

for each plot.

Predicted plot values were obtained by using the

following inputs to the appended program:

a. Site index (MP50) observed at nominal age 20 on

each plot.

b. The actual plot age at nominal age 20 and backdated 5 and 10 years to obtain estimates at nominal

ages 15 and 10.

c. The number of trees at the age in b., above, were

obtained via the survival function (eq. 4) by starting

with the treatment densities at the backdated age at

nominal age 10 and projecting forward 5 and 10 years.

The results of this exercise (table 2) suggest that

the predictions improve with time and that all are

within usable limits. At ages 15 and 20, they are comparable to results from other studies of natural evenaged southern pine growth and production (Farrar

197913, Murphy and Sternitzke 1979, Murphy and

Beltz 1981). At age 10, the percentage differences are

comparatively large but small in real terms. This is

not surprising because at this young age there is considerable variability in the stand taller than breast

height. Later, as more of the stand passes the breastheight threshold, stand traits become more predictable.

If stand and stock tables are desired for conditions

other than those shown in the Appendix, but within

the study limits, the program (Appendix B) can be

modified to provide output for any integer age between 10 and 20 years, any site index in the 70 and 80

classes, and any initial integer number of trees per

acre between 300 and 1,500. The desired input values

are specified in line 80, and lines 120,130, and 140 are

modified as needed. For example, if annual output is

desired for site index 75 at ages 13 through 17 for 750

initial trees per acre at age 13, the input would be 75,

75,13,17, 750, 750 and line 140 would be altered to

read: FOR A =A1 to A2 STEP 1.

If for some reason the MP50 site-index function is

not deemed appropriate, but the rest of the process is

considered suitable, some other site-index function

thought to be more appropriate can be solved as a

dominant-height function at age 20 and substituted in

line 280.

5
Table 2.-Goodness of fit” statistics for the stand and stock table prediction system’

Predicted value n Obs ;i %d RMSd RMS%d

Age 10

-5.07 5.2 63.73 24.4

0.08 6.4 0.76 26.1

0.05 5.4 7.00 27.1

0.15 5.9 3.93 28.7

TSl (no.)

B Wt2)

TV0 (ft3)

TV1 (ft3)

vo43 (fta)

VI43 (ft3)

15 349.7

15 3.2

15 28.6

15 14.8

. . . . . . .

. . . . . . . .

Age 15

TSl 15 830.7 30.13 0.04 74.66 7.4

B 15 43.1 -0.49 -0.8 4.31 10.3

TV0 15 690.7 -23.85 -4.3 83.09 12.3

TV1 15 453.3 - 15.66 -3.2 55.73 12.6

vo43 15 347.3 - 12.55 -3.0 54.05 16.2

VI43 15 233.3 -6.7 -2.3 36.72 16.5

Age 20

TSl 15 832.0 30.20 3.8 61.26 6.4

B 15 68.0 -0.71 -0.6 4.51 6.9

TV0 15 1454.8 -4.13 0.1 115.09 8.6

TV1 15 1012.0 -4.43 -0.01 81.71 8.8

vo43 15 1088.1 -23.26 -1.4 102.84 9.8

VI43 15 767.6 -16.4 -0.4 72.97 9.8

i

n

$GI = C ((yi - yiYyiYn *(lOO)

i=l )

in = number of observations

yi = ith observed value

yi = ith predicted value

n

;i = C (yi - yi) ( 1

/n

i=l

I

RMS%d = Jc i$C@i - yrYy iY),n*ClOOJ

. . = no data observed or predicted

volume-defining functions but a different site-index

function, the following values are obtained at age 20.

The 36.4-foot dominant height translates to a site ndex (Farrar 1979b) of 65.6 feet and the cubic-fool c, olume estimates are TV1 = 914 and VI43 = 661. These

are within +2 to 8 percent of the above values. At age

25, the predictions from the functions in Farrar

(197913) are B = 99 square feet/acre, TV1 = 1,639, and

VI43 = 1,390.

Besides providing estimates of the production in loto 20-year-old longleaf stands, this system can provide

entry to other growth and production prediction systems that usually start at about age 20. For example,

assume that we have a longleaf stand at age 10 that

has 1,200 trees per acre and a site index of 70 feet

(MP50) and we would like to estimate its volume at

age 25. At age 20, Appendix C shows this stand should

have a dominant height of 36.4 feet, 68.9 square feet

of basal area (B), and the following cubic-foot volumes

per acre: total, inside bark (TV11 = 930; merchantable, inside bark (VI43) = 612. The indicated

merchantable periodic annual increment from age 15

to 20 is 97.8 cubic feet. Using the functions in a recently published system for volume growth and production prediction for thinned natural longleaf (Farrar 1979b) that uses some of the same tree

The estimated average annual growth from age 20

to 25 is 6 square feet of basal area and 145.8 cubic feet

of merchantable volume or 1.82 cords. The merchantable mean annual increments at ages 20 and 25

(33.1 and 55.6 cubic feet) suggest that the periodic

annual cubic-foot volume increment has not peaked

for this stand by age 20.

6
LITERATURE CITED

Bailey, R. L. 1974. Computer programs for quantifying diameter distributions with the Weibull Function. For Sci. 20: 229.

Clutter, J. L., and D. M. Belcher. 1978. Yield of siteprepared slash pine plantations in the lower coastal

plain of Georgia and Florida. In: Proc. of IUFRO

symposium on growth models for long term forecasting of timber yields and forest resources management. Va. Poly. Inst., Blacksburg, Va. p. 53-70.

Dell, T. R., D. P., Feduccia, T. E. Campbell, W. F.

Mann, Jr., and B. H. Polmer. 1979. Yields of unthinned slash pine plantations on cutover sites in

the West Gulf region. U.S. Dep. Agric., For. Serv.

Res. Pap. SO-147. South. For. Exp. Stn., New Orleans, La., 84 p.

Farrar, R. M., Jr. 1973. Southern pine site-index

equations. J.For. 71: 696-697.

Farrar, R. M., Jr. 1974. Growth and yield of young

longleaf pine. In Proc.: Symp. on mangt. of young

pines. (Alexandria, La., Oct.: Charleston, S.C., Dec.

1974), p. 276-287. U.S. Dep. Agric., For. Serv.

Southeast. Area, State and Priv. For., South. and

Southeast. For. Exp. Stns.

Farrar, R. M., Jr. 1979a. Volume production of

thinned natural longleaf. In Longleaf pine workshop (October 17-19, 1978), p. 30-53. Southeast.

Area, State and Priv. For., South. For. Exp. Stn.,

Ala. For. Comm., Ala. Ext. Serv., Mobile, Ala.

Farrar, R. M., Jr. 197913. Growth and yield predictions

for thinned stands of even-aged natural longleaf

pine. U.S. Dep. Agric., For. Serv. Res. Pap. SO-156.

South. For. Exp. Stn., New Orleans, La., 78 p.

Farrar, R. M., Jr. 1981. Cubic-foot volume, surface

area, and merchantable height functions for longleaf pine trees. U.S. Dep. Agric., For. Serv. Res.

Pap. SO-166. South. For. Exp. Stn., New Orleans,

La., 7 p. ’

Hamilton, D. A., Jr. 1974. Event probabilities estimated by regression. USDA For. Serv. Res. Pap.

INT-152, Intermountain Forest and Range Experiment Station, 18 p.

Murphy, P. A., and R. C. Beltz. 1981. Growth and

yield of shortleaf pine in the West Gulf Region. U.S.

Dep. Agric., For. Serv. Res. Pap. SO-169. South.

For. Exp. Stn., New Orleans, La., 15 p.

Murphy, P. A., and H. S. Sternitzke. 1979. Growth

and yield estimation for loblolly pine in the West

Gulf. U.S. Dep. Agric., For. Serv. Res. Pap. SO-154.

South. For:’ Exp. Stn., New Orleans, La., 8 p.

U.S. Forest Service. 1976. Volume, yield, and stand

tables for second-growth southern pines. 1929 (Rev.

1976). USDA Misc. Publ. 50. 202 p.

Appendix A-System Predictor Groups and Components

(1) Hz0 = (S&( 1O)~z’zc’-s’5o’)

(2) Szc = (HdexpM20) - fl2O))l = Hz0

(34 HI& = C320)[exp{f(A) - fIZO)}l

where: Hz0 = mean height of dominant stand at age

20, predicted from MP50 dominantheight function (Farrar 1973), feet

Sso = site index, index age 50 years, feet

(65 < She I 85)

(3b) g(A) = -11.870(1/A) + 1263.79(1/A)3

- 12409.5(1/A)4 (Farrar 1973)

S20 = site index, index age 20 years, feet

(3c) f(A) = 51.5672(1/A) - 976.490(1/A)2

+ 3836.84(1/A)3 ’

‘From the fitted function:

(3d) ln(HDl* = 3.08908 + 51.5672(1/A) - 976.490(1/A)’

+ 3836.84(1/AJ3

A = given age, years

HDIA =predicted mean height of dominant

stand at age A, feet (A, here, = 10, 11,

- - - 19, or 20).

Total tree frequencies per stand at age A

The number of surviving trees per acre is predicted

in an iterative fashion by a modified form of a function

presented by Hamilton (1974).

(4) TSOA + i = TS0,/[0.99999 + exp{-20.964

. + 1.1808(A) - 0.25569(HDl,)

+ O.O031657(TSO,)}]

where: TSOA = number of surviving trees per acre

(all) at age A years

TSOA+i = number of surviving trees per acre

(all) at age (A + 1) years. Note that

TSOA + 1 becomes TSOA for each

new iteration of this function. Minimum A = 10, maximum (A + 1) = 20,

minimum TSOio = 300, maximum

TSOio = 1,500.

7
The number of surviving trees in the l-inch class and

larger is predicted by:

(5) TSIA = TSOJ0.99999 + exp(3.7052

- 2.5068(HDlA/A)

- 94.772(HDlA/TSOA)}l

where: TSIA = number of surviving trees per acre

(d.b.h. > = 0.6 inches) at age A years.

Mean height for a given d.b.h. class at age P

(6a) H&A = (HDlA)[exp{boA + blA(l/Di)}l

where: HliA = predicted mean tree total height for

the ith l-inch d.b.h. class at age A, feet

(6b) bOA = 0.23727 + 5.9139/HDlA

(6~) blA = -0.19070 - 0.012645(TSlA/A)

- 0.11953(HDlA) + 0.0010798(TSlA)

+ 0.0016258(HD1A)2

. Di = midpoint of the ith 1 inch d.b.h. class,

inches.

Mean crown ratio for a given d.b.h. class at age A

(7a) CRiA = {(HliA - SLiA)/HliA}(lOO)

where: CRiA = mean crown ratio for the ith l-inch where: TVOiA = same specifications as TVIiA except

d.b.h. class at age A, percent outside bark

(7b) SLiA = (HDlJ[exp{coA + ciA(l/Di)j1 b. = -0.30925

where: SLiA = predicted mean tree height to the live

crown base for the ith l-inch d.b.h.

class at age A, feet

(7c) C‘,A = 3.4392 - 0.54950(A)

+ O.O45001(HDl) + 0.00057003(A3)

+ 0.000000048139(A3)(TSlA)

(7d) ciA = -0.53734 - 0.0025185(A2)

+ 0.000018202(A)(TS1A). ,

Tree frequencies by d.b.h. class at age A

(8a) TSliA = N~A - NlA

where: NlA = (TSlA)[l - exp{-((Di - a)/bA)cA}]

and

N~A = (TSl,)[l - exp{-((Di + l-a)/bA)cA}]

TSliA = number of surviving trees per acre

(d.b.h. > = 0.6 inch) in the ith l-inch

d.b.h. class at age A years.

a = 0.55

(8b) bA = -0.78012

- O.O00084899(HDlA)(TSlA)

+ 0.17355(HDlA)

+ 0.00087836(TSlA)

- O.OOOOO~~O~~(HD~A)~(TS~A)

+ ~.OOOOOOOO~O~~~(HD~A)~(~~~A)~

(8~) cA = 0.80699 - O.O0025619(HDlA)(TSlA)

+ O.OOOOOO~O~OO(HD~,)(TS~A)~

+ 0.16045(HDlA)

+ O.O0096973(TSl,).

Basal area per acre by d.b.h. class at age A

(9) BiA = (TSliA)(r/576)(Di)2

where: BiA = basal area per acre in the ith l-inch

d.b.h. class at age A, square feet.

Mean tree volume for a given d.b.h. class at age A

(10) TVIiA = 0.00535 + 0.0021971(Di)2(HliA)

where: TVIiA = tree volume in cubic feet, inside bark,

from a 0.2-foot stump to a zero-inch

top d.o.b., d.b.h. > = 0.6 inch

(11) TVOiA = (TVI,){l + (lObo)(TVIiA)b’}

bi = -0.21895

(12) VI42iA = (TVIiA)/{l + ( 10b02)(TVIiA)b’2}

where: VI42iA = tree merchantable volume in cubic

feet, inside bark, from a 0.2-foot

stump to a a-inch top d.o.b.,

d.b.h. > = 3.6 inches

b,, = -1.2415

bi2 = -1.2107

(13) vo42iA = (vI42iA){l + (10bo)(V142iA)b’)

where: VO42iA = same specifications as VI42iAexcept

outside bark

(14) vI43iA = (TVIiA)/{l + ( 10b03)(TVIiA)b’3}

where: VI43iA = tree merchantable volume in cubic

feet, inside bark, from a 0.2-foot

8
stump to a 3-inch top d.o.b.,

d.b.h. > = 3.6 inches

.

b,,a = -0.54930

his = -1.3024

(15) VO43iA = (VI43i,){ 1 + ( 10bo)(V143i~)b’}

where: V043iA = same specifications as VI43iA except

outside bark.

Per acre tabular values

n

(16) TSlA = C (TSliA)

i=l

n

(17) BA = C (BiA)

i=l

n

(13) VolumeA = C {(VolumeiA)(TSliA)} where CRA = arithmetic mean crown rati peri=l centage.

where Volume* = a total volume and VolumeiA = volume per tree in the ith l-inch d.b.h.

class, for any volume function

n

(19) DA = { 2 (Di)(TSliA)}flSlA

i=l

where DA = arithmetic mean d.b.h.

(20) & = ~B,/{(~/g76)(TSl,)}

where Be = quadratic mean d.b.h.

(21) % Survival = TSOJl?SOio

n

(22) CRA = {C (CRiA)(TSliA)}/TSlA

i=l

Appendix B-Coefficient of Determination and Standard Error of Regression for

Fitted Functions

Equation no. n R2 or r2 svx

(3d)

(4)

(5)

(6b)

(6~)

(7c)

(7d)

(8b)

C3c)

90 0.987* 0.063*

150 0.315* 2.653*

90 0.735* 2.211*

90 0.811 0.094

90 0.727 0.214

90 0.482 0.280

90 0.204 0.397

90 0.984 0.148

90 0.846 0.327

*In logarithmic form, from regression where y was transformed

to In (y).

9
Appendix C-BASIC Program to Generate Predicted Stand and Stock Tables for

Young Natural Longleaf Pine

10 REM THIS PRI~I;RHM “LL:~&!~I:l” C;ENERHTE!s :3TAt.+D Ht.jD :$TOC:i:: TPE:L.ES ,=OF: ‘(ijl_:Ii~;

H H T U R H L L 0 N G L E H F P I N E S T A N Is S H H 6 I N r, I N I T I H L H N II F I N AL H 1; E :S F: E T 1.1 E E N 1 13 1-4 t.4 11

20 R EPI 20 ‘,r’E HF: :s , s1 T E 1 t.4 11E X ( I t.4 11 E)( fi I; E 50 ‘,‘EH R !:; , F1 1 :j I: . F 1-1 1: L . 5 0;I !TI F 6 6 TIII ;+ F:

FEET, HND INITIHL DENSITIES OF :300 TO 1500 TREES PER HC:RE liT INITIAL AI;E.

:EE:I i N

30 0 P T I 6 N B H SE 1

4 0 PRINTER IS 0

60 INTEGER H, S, 11

7 0 REAL Nl, NZ, Hl (30:) r T0(30>

8 0 I N P U T “!~l,S2,Hl,fi~,Tl,T2 ‘?“,Sl,S2,Hl,AZ,Tl,T2

8 1 P R I N T L I N 1: 5 >

90 I MHGE “‘fIEl_IIS I;I$‘Et,j T!:;Ci I: # I:!F TREE!2 PER HC:tTyE RT DE!;;

‘I’p1 1: fiL Sl_lR’G 1 yfiL--”

100 P R I N T US I N G 9 0

101 P R I N T L I N C 3 >

110 N’39=1

120 FOR :;=Sl TO S2 STEP 10

130 FOR T0=Tl TO T2 STEP 300

140 FOR A=Hl TO H2 STEP 1

150 IF N99>=:3 THEN 180

l&0 IF ml:>10 THEN 270

170 GOTO 200

171 WHIT 500

172 PRINT LINClZ:,

180 IMAGE 40:X, “c:lJ. FT. ‘VU!_. I=!BI~‘v’E 8.2 FT. :~Tl_ltlF’”

190 PRINT USING 180

191 I;OT[I 226

132 PRINT LINC 121

200 1Mfi1;E 40X:, “CU. FT. C’rJL. HBI:I’v’E 0. 2 FT. STl_lMP”

210 PRINT USING 200

211 IMAGE 40X, “HLL TREES * 4- INCH I:I_H!~!~ & I-IF’”

212 PRINT ClSING 211

I T I P L HGE ‘1 W I

230 PRINT USING 220

240 IMHGE 1X, “T!?O SI HGE D + 11: D B H P E R Jj fi !; Fl L 1:: F: H !,! . c_I1 1 pi 11 kj E:3

* 3 1 t.4 I-’ aHES”

258 PRINT USING 240 2 60 __ I *

IMHLE 1:3~, “HT. “,5X, “HCRE FIRER”,&::%, “HT. cl.b. i .tt. + 0 . t1 .

i.b.”

261 PR I NT US I N G 26 0

262 IMHGE 801::” “>

2 g 13

270

F R I NT US I NC< 2 6 2

N 9 9 = N ‘3 3 + 1

27 1 I F tJ’$‘3 = 4 THEN N’3’3 = 2

280 H20=Ssm 520214437307

281 TBCHl>=T0

2 9 0 FOR I=Hl TO H2 STEP 1

300 H 1 I: I ;I = H 2 0 s E :>( F ,’ 5 1 . 5 6 7 2 / I -‘3 7 6 I 4 ‘3 .>’ I ./.. 2 + 3 :3 3 6 . 8 4 _.’ I ..‘.. 2: - . 6 1 6 7 4 ;,

:3 1 0 T0(I+l>=T0(I~~.~(.‘~399’~+E~~P~-~0.~~~4+1.1:30~~I- . 2 5 5 6 ‘3 + H 1 I:: 1 ::a i , Q 0 :>

ZjgQ td E :< T I

13 :3 0 I = fi

TH T

::I ;a ::I

3 6 0 B=-. 78012-8.48’3’3E-5*Hl(I>sTll+. 17:355%H1(‘:>+8 , 7 8 3 6 E - 4 * T 1 1 - 1 , 3 0 2: :3 E - 6 * H 1 ( I ,:I .“.. 2 *

T 1 1 + 1 , 0 3 2 1 E -‘3 % H 1 I:: I :, ..‘I. 2 * T 1 1 .e. 2

10
470

471

4 8 @I

448

5618

5 1 r_5

520

530

540

5561

568

578

58E1

581

5 ‘a 2

583

584

586

598

6 @ 8

618

629

630

648

658

66W

670

688

681

6582

6 g :3

6 ‘3 0

788

710

720

7 3 8

74G1

741

758

768

761

770

788

781

798

868

801

818

820

C= . 86699-2. 5 6 19E-4+H

Sl l=B

131:3=@

Tlll=8

TlZl=O

Tl2:3=0

Vlll=B

‘$/ 1 2 1 = @

i) 1 2 :3 = 13

V124=0

c: I” p fj = 8

IF Ii=2 THEN Dll=1.5

N 1 = T 1 1 + i; 1 - E 1; p ( - r: ( 11 1 1 -H 4 :, I’ B :) .“.. I;: ‘1 >

1.1 2 = T 1 1 * ( 1 - E >si p (1 - ( ( 11 1 1 + 1 - H 4 :I ./’ 1: ::I .A I: 111 :J

TllS=NZ-Nl

IF D=l THEN T112=Nl

Tl ~Z=PRI:II_INII(T~ 12? Ei:r

B@= , 23727+5.9133..~Hl(H>

Al=_. 19~7~-. @12645+Tl ~,.AA-. 11953+Hl (H>+. ~01~7’~d:~+Tl l+. 0016258+Hl (.R:‘I/~~

H 1 0 = H 1 r: fj :, % E ;.( p I: B bj + B 1 /’ I,l :I

1:: 0 = :3 .73y2- - - , 54r35@+I+. 045B@l+HlC I::g+5. 7 0 0 3 E _ 4 + I ..‘.. 3 + 4 . :s 1 :3 -3 E - ;;: + 1 .+. 3 * T 1 1

1:1=- . 537:34-.@@251857sI^2+1 ,:~~~~E-5’I%Tll

s1 =Hl (I >+EXP(I:~+C~~‘II>

Ct-.=(Hl@-Sl >/‘HlQ%lOB

IF t:r,:=5 T H E N C t-’ = 1 8

B 8 n = Ij .4 2 + ( 3 . 1 4 1 5 ‘3 2 5 4 ./ 5 7 6 > + T’ 1 1 2

TOO=. 1313535+. Q@21971+D”.2+H10

T812=T88*T112

T 0 1 = T Q 0 + ( 1 + 1 @ .+ ( - . 3 0 4 2 5 > + T 0 0 .“. I: - . 2 1 :3 9 5 ::I >

TQl3=T@lsTll2

Tl2l=T121+T812

Tl23=Tl23+T@l:3

Sll=Sll+B08

D12=11*T112

D13=D13+D12

Ct-pc=CrsTl 12

Crpp=Crpp+Crpc

C t-. = P R 0 U N II C C P g - 1 :,

Tlll=T111+T112

IF D=l THEN 8’36

IF Tl 12(. 513@@0@9&3b381 THEH 318

IF TlC4 THEN 898

Is! 1 4 = T @ 0 ,...’ < 1 + 1 0 .A ( - 1 , 2 4 1 5 ;i +j T 0 0 ..“. ( - 1 . 2 1 0 7 ::I ;I

c’l 12=<)14wTl 12

‘v’ll2= p R [I 1-l bl11 ( ‘v’ 1 1 2 , -. 1 i

Iv’ 1 5 = ‘u’ 1 4 * ( 1 + 1 @ A ,: -- . :3 0 ‘3 2 5 ) +. !,! 1 4 ..A. ,,: - . 2 1 8 ‘3 5 :a ::,

$‘l 1:3=‘415+Tl 12

ij 1 1 :3 = p R I] 1-l t.111 ( 0 1 1 :3 r - 1 >

\I 1 5 = T 0 0 i I:: 1 + 1 8 .“Q ( - . 5 4 4 2; ;I s T 0 0 ‘. ( - 1 . :_I 0 ;2 4 ::I ::I

$‘I 14=$‘16wTl 12

‘v’ 1 1 4 = P R 0 U t.4 II C V 1 1 4 9 - 1 ‘1

{,! 1 7 = $1 1 6 + ( 1 + 1 8 ci ( _ . 3 6 ‘3 2 5 1) .j+ ‘,,,’ 1 6 .‘.. r: - . 2 1 :s ‘3 5 ;I :I

c’l 15=‘+17wT1 12

V 1 1 5 = p R III l-1 t.4 11 i ‘8) 1 1 5 r - 1 i

‘d 1 1 1 = v 1 1 1 + v 1 1 2

1,) 1 2 1 = ‘,C 1 2 1 + j/ 1 1 :3

11
830 V123=Vl2:3+‘l)114

848 V124=V124+V115

850 P R I N T US I N G ” 1 7 ):: , D D ~ 2 x , D II Ii ~ 1 :.; ~ D D . II , 2 ( 2 :< ,

, DDD. II> ” ;

II II > , 2 >I I I! D II , II r 2 :,t ~ II II II , II i 2 1:: 2 ::,< r D II D , D , 2 )<

D,Tl12,E88,Cr,H14,T~l:~,T~l2,Vll~~Vll2~~~ll5~~~ll4

868 D=D+ 1

861 Dl l=Dll+l

8761 IF DC11 THEN 588

888 GOTO 91W

898 PRINT USING “17X,DD,2X, DUD, lX,DD. D, at’-

r,HlB,T813,T012

. L~,I~D>,~X,I~I~I~.D,~~,DIIII.II’~;D~T~~~,~~~,~

3861 GUT0 8661

910 D33=D 13/T 1 1

920 I144=!SQR(Sl I/‘(. @05454+Tl 1 >:I

938 Rl=TG1( I>

948 R2=T@i;Hl>

958 S55=Rl/‘R2,lt313

‘3 5 1 E ar c r = C: prp./ T 1 1

96;G1 IMHGE 261X, ‘I 1, 976t PRINT USING - - 360 ---- --v-w ---- _-__

972 I F II,< 5 THEN 1 6168

DD. D, 9861 PRINT USING “261>;, IIIIDD, 2 X , D D . D , 9 X , D D D D . D , 1 X .r D D D D . D 1 X D D 1111 . I I I x II 11 D II . II 1 :< 9

981

1X, DDDD. D”; T1li,S11,T12:3,T121,Vl2l,Vlll,Vl24~Vl2:~: ., .r r , ~ r II

PRINT LINCl>

990 GOTO 1836

1888 PRINT USING

lGtW1 PRINT LINCl>

“28X,DDDD,2X,DD.D,SX,DDD.D, 1X,DDD.D”;T111,S11,T12~~T121

1936 PRINT USING

H = ” , II44

“lTA,D.DD, 1X, 18H,D.DD”; “ARITH. MEHN DBH =“,D35, ‘I QUHDE. k1EHt.j DE

16135 PRINT USING “17H,D.DD,2~1;~,3H,D.DD>“;“WEIBULi PHRfitl: A=“,H~ “B=“,B “~=“,I-:

184Q PRINT USING

TIO >;=‘I, Barer

“12A, 1X, DDD. D, 5X, 19H, 1X, DDD. 0”; “SIJRVIVHL :;=I”, $5;, “~,E& CROf&,-RH

1841 PRINT LINI:E;>

1858 NEXT A

1851 PHUSE

18661 NEXT T8

18761 NEXT S

1098 END

12
Appendix D-Predicted Stand and Stock Tables for Young Natural Longleaf Pine

at Various Initial Densities, Site Indices, and Ages

YIELDS GIVEN TSO (t OF TREES PER ACRE AT DESIRED INITIAL AGE) UITH TYPICAL SURUIUnL--

----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUNP----

nLL TREES t &INCH CLASS AND GREATER

Au. STEM SttlltltSLSLttFOR O.B. TOPS OF----lStttltSSSlltt

TSO(iO) SI AGE D+C DBH PER BASK CR AU. 0 INCHES % 2 INCHES t 3 INCHES

HT. ACRE AREA HT. O.B. I.B. t O.B. X.8. I O.B. I.E.

MtITH. REnN DBH = 1.3 QUADRATIC HEAN DBH =1.33

i 183 1.0 70.2

2 5 9 1.3 76.1

3 i . O 77.0

243 2.3

X SURVIVAL= 100.0

6.7 7.9 3.7

12.2 11.9 6.6

14.9 .s .3

-- --

20.3 10.6

UEIBULL PMMETERS n = .55 B = .BO

HEnN CROWN RATIO = 71.0

c =I.99

----CUBIC FOOT UOLUUE ABOVE 0.2 FOOT STUHP----

llLL TREES t ~-INCH cLnss &ND GREATER

nu. STEHS SttlStWlXtttSFOR 0 .B. TOPS OF----tttlkttbStSLlt

TSO(l0) SI AGE D+C DBH PER BASAL CR nU. 0 INCHES t 2 INCHES $ 3 INCHES

HT. ACRE E\REA HT. O.B. I.E. I O.B. I.E. 8 O.B. I.E.

300 70 15 24.9

MITH. HEkN DBH = 3.2 QUADRATIC REIN DBH =3.35 YEIBULL PARMETERS

i b . I f6.i

2 57 1.2 74.2

3 123 6.0 78.4

: 92 21 8.0 2.9 80.2 81.3

b i .2 81.9

380 -m

X SURUIWL= 100.0 HEAN CROUN RATIO =

5.0 .2 .l

14.1 13.0 7.4

i9.9 78.6 49.2

23.7 fib.6 77.2

26.3 44.3 30.5

28.2 3.2 2.2

- -

255.9 ibb.6

109.4 72.1

42.8 29.4

3.i 2.2

- -

155.3 103.7

A = .SS B =2.98

78.0

88.1 57.0

38.1 26.0

2.9 2.0

129.1 85.0

c -3.40

1 3
----CUBIC FOOT UOLUHE I\BO'JE 0.2 FOOT STWP----

AU. STEHS #WtlLWLWFOR O.B. TOPS OF----SSStllt$ttlXSI:

TSO(i0) SI ACE D+C DBH PER BASAL CR AU. 0 INCHES 8 2 INCHES L 3 INCHES

HT. ACRE AREA HT. O.B. I.B. 8 O.B. I.B. 1 O.B. I.B.

300 79 20 36.4

ARITH. MAN DBH = 4.6

i 0

i 3s 7

4 87

S 107

b 54

7 8

298

0.0 40.5 5.7

.2 60.4 17.6

::3 65.5 67.8 30.9 ES.6

i4.6 69.1 34.6

il.6 69.9 37.3

2.1 70.5 39.4

36.8

0.0 0.0

1.9 i.i

28.1 17.9

i40.7 $95.0

290.8 293.9

22i.4 iS9.6

46.1 33.9

729.1 sii.5

QUADRATIC MEAN DBH =4.75 WEIBULL PAR&METERS A= .ss B =4.48 c =4.40

X SURVIVAL= 99.6 WN CROUN RATIO = 68.0

i34.3 90.4 ii4.3 75.9

283.9 198.7 261.2 181.8

2i8.2 157.2 208.0 149.3

45.6 33.6 44.3 32.5

----

682.0 479.9 627.8 439.5

----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUtlP----

ALL TREES s : 4-INCH CLASS MD GREATER

Av. STENS 8tttSt%8tft8ttFOR O.B. TOPS OF----tltLSltttSLIXS

TSO(iO) SI AGE DtC DBH PER BASAL CR AU. 0 INCHES % 2 INCHES S 3 INCHES

HT. ACRE hREA HT. O.B. I.B. 8 O.B. I.B. 8 O.B. I.B.

600 70 10 9.1

II

2

3

WITH. HEQAN DBH = i.3 QUADRATIC NAN DBH =1.33 UEIBULL PARMETERS

226 i.2 69.5

75 1.6 75.8

i .I 77.6

-iii-r9

6.7 9.7 4.5

i2.i L5.i 8.4

14.8 .S .3

--

25.3 i3.2

X SURVIVAL= 100.0 HEM CROUN RATIO =

A = .SS B = .BO

7i.2

c =1.94

14
----CUBIC FOOT UOLUHE MOUE 0.2 FOOT STUhP----

AU. STEHS t8ttSt8tWttlFOR O.B. TOPS OF----8WtttStttt~t

TSO(iO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES L 2 INCHES t . 3 INCHES

HT. ACRE AREA HT. O.B. I.B. 8 O.B. I.B. I O.B. I.E.

600 70 LS 24.9

ARITH. HEAN DBH = 2.8 QUADRhTIC MEAN DBH =2.98 UEIEULL PARMETERS

49 .3 53.5

i89 4.1 72.8

214 i0.S 77.3

110 9.6 79.2

27 3.7 80.3

3 .6 81.0

592 28.8

X SURVIVAL= 99.9

5.3 1.8 .8

14.6 44.5 25.2

20.4 i39.7 87.5

24.1 t41.7 93.9

26.7 57.7 39.7

28.6 9.6 6.8

- -

394.9 254.0

HEW CROUN RATIO =

133.1 87 8 107.6 69.8

55.8 38.4 49.8 34.0

9.4 6.7 8.8 6.2

- - 198.3 132.9 xizi iio.0

a= .ss 6 =2.ss c =2.49

74.4

----CUBIC FOOT UOLUHE MOUE 0.2 FOOT STUHP----

ALL TREES 8 4-INCH CLASS AND GREATER

AU. STEM ttSStttSS$SttLFOR O.E. TOPS OF----SttttttttWLY

TSO(iO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES * 2 INCHES 1 3 INCHES

HT. ACRE hREA HT. O.B. I.E. t O.B. I.B. t O.B. I.E.

600 70 20 36.4

ARITH. HEAN DBH = 3.8 @JADRATIC HEM DBH =4.03 UEIBULL PARMETERS

10

72

is7

182

i20

43

8

I

593

.i 34.9

1.6 56.2

7.7 bi .7

is.9 64.1

16.4 65.5

!l:: 66.4 67.0

.3 67.5

52.5

x SURuIuAL= 99.1 hEAN CROUN RATIO =

6.5 .4

i8.8 2i.2

26.8 13i.2

32.0 303.5

35.5 334.3

38.1 180.0

40.1 46.9

41.7 7.8

1025.3

.2

52.3

84.0

205.4

234.8

i29.9

34.6

5.9

290.2 195.7 248.4 ibf.5

32b.S 229.0 301.3 210.1

177.5 128.0 ib9.3 i2i .8

4b.S 34.3 45.1 33.2

7.8 5.8 7.6 5.7

- -- -

707.0 848.5 592.8 771.7 536.3

A= .ss B =3.68 c =3.00

62.4

15
----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUHP----

ALL TREES 4-INCH CLASS AND GREATER

AU. STEHS tltS#WMtWlFO: O.B. TOPS OF----kttkktl~ltSSa~X

TSO(l0) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES 2 INCHES t 3 INCHES

HT. ACRE AREA HT. O.B. I.B. : O.B. I.B. t O.B. I.B.

900 70 10 9.1

MITH. NEM DBH = 1.3

: 258 87 ::: 68 75:s 9

3 2 .l 77.4

347 3.4

QUADRATIC HEAN DBH d.34 UEIBULL PARMETERS

X SURUIUM 108.0 MN CROUN RATIO =

6.6 11.1

12.1 17.4 95::

14.8 1.0 .b

- -

29.4 If.4

A = .55 B = .8i c =i.9i

71.8

----CUBIC FOOT UOLUHE ABOVE 0.2 FOOT STUHP----

ALL TREES $ 4-INCH CLASS AND GREATER

AGE Et DBH

STEW

PER BhSAL CR AU.

Wt8tLlSSttttSFOR O.B. TOPS OF----tttSSSL%ttttt#

TSO(I0) 61 0 INCHES 8 2 INCHES 8 3 INCHES

HT. ACRE AREA HT. O.B. I.B. f O.B. I.B. 1 O.B. I.B.

900 70 15 24.9

1 137 .7 51.0

2 315 6.9 71.5

3 255 12.5 76.2

4 11s 18.0 78.3

5 31 4.2 79.4

7 6 55 1 1.0 . 3 80.i 80.6

859 35.6

ARITH. HEYAN DBH = 2.5 QUADRATIC MEAN DBH 12.76

X SURVIVAL= 99.8

5.7 S.3 2.4

IS.) 76.2 43.3

20.8 169.7 106.4

24.5 lS0.3 99.8

27.0 67.0 46.2

28.9 lb.1 11.4

30.2 4.5 3.3

- -

489.0 312.9

YEIBULL PMMHETERS

HEAN CROUN RATIO =

141.4 93.4 Li4.6 74.5

64.9 44.6 58.0 39.6

15.8 ii .2 14.8 10.4

4.4 3.2 4.3 3.1

- - - -

226.5 152.4 191.7 127.6

A= .ss B =2.2S C =2.03

70.9

16
----CUBIC FOOT VOLUHE ABOVE 0.2 FOOT STUHP----

AU. STEM 8SWtL8SttS:LlFOR O.B. TOPS 0F--d-WSt18.tttSLttl

TSO(iO) SI AGE D+C DBH PER BhSK CR hV. 0 INCHES I 2 INCHES L 3 INCHES

HT. ACRE AREA HT. O.B. 1.8. t O.B. I.B. I r O.B. I.B.

900 70 20 36.4

ARITH. UEAN DBH = 3.3

: 198 62 4.3 .3

3 248 12.2

t 197 109 i7.2 i4.9

6 43 8.4

7 12 3.2

8 3 1.0

872 61.6

29.2

51.8

57.6

60.3

61.8

62.7

63.4

63.9

QUADRATIC HEAN DBH =3.60

7 . SURVIVAL= 97.7

2x

2.9

2719

6i.5

2i5.2

33.0 338.2

36.4 3iO.8

38.9 183.5

40.8 71.5

42.3 23.8

1207.a

3s

i38:2

229.3

2i8.7

132.6

52.8

17.9

-E?

UEIBULL PARMETERS

BEAN CROYN RATIO =

323.6 218.9

303.8 ti3.4

i8i.O 130.7

70.9 SE.3

23.6 17.7

909.1 -iai

A= .ss

55.8

B =3.i4 C =2.18

278.7 i86.2

280.9 196.3

172.9 124.5

68.9 SO.7

23.2 17.4

824.

----CUBIC FOOT VOLUHE ABOVE 0.2 FOOT STUMP----

ALL TREES 4-INCH CLASS AND GREATER

&J. STEUS SttSStttlSttt~F~ O.B. TOPS OF--'-SSLtSSttSSLtXS

TSO(iO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES 8 2 INCHES t 3 INCHES

HT. ACRE AREA HT. O.B. I.B. 8 O.B. I.B. $ O.B. I.E.

1200 70 10 9.1

i 293 i.6 68.2 6.5 12.5 5.8

I ioi 2 2.2 .i 75.3 77.2 12.0 14.7 20.1 1.0 ii.2 . 6

3963.9 --e-- 33.6 17.6

ARITH. HEAN DBH = i.3 QUADRATIC HEAN DBH ~1.34 YEIBULL PARMETERS A = .SS E = .8i C =1.87

X SURVIVAL= 100.0 HEAN CROWN RATIO = 70.1

17
----CUBIC FOOT UOLUME ABOVE 0.2 FOOT STUHP----

AU. STEMS S8888tStS88888FOR O.B. TOPS OF----888888888888%8

TSO(iO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES 2 INCHES 8 '' 3 INCHES

HT. ACRE AREA HT. O.B. I.B. : O.B. I.B. 8 O.B. I.B.

1290- 79 if 24.9

i 221 i.2 48.6 6.1 6.9 4.1

3 2 428 297 it: 75.2 70.2 2i.2 15.5 201.0 iO6.i 126.3 60.5

4 ii6 1o.i 77.4 24.9 153.5 iO2.0 144.6 9S.b iii.6 76.5

5 28 3.8 78.6 27.3 6i.i 42.2 59.2 40.8 53.0 36.2

6 5 1.0 79.3 29.1 ib.3 ii.5 16.0 ii .3 14.9 10.5

-GE 40.0 -- --P_

546.9 346.7 219.8 147.7 1BS.S 123.2

ARITH. MEAN DBH = 2.4 QUADRATIC #AN DBH ~2.59 YEIBULL PARMETERS A = .SS B =2.06 C =1.92

x SURVIVAL= 99.4 HEHEAN CROW RATIO = 68.2

----CUBIC FOOT UOLUnE ABOVE 0.2 FOOT STUHP----

ALL TREES 8 4-INCH CLASS AND GREATER

AU. STEHS 88888t8888t8t8F0R O.B. TOPS OF----88888888888tt8

TSO(iI) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES 8 2 INCHES 8 3 INCHES

HT. ACRE AREA HT. O.B. I.B. 8 O.B. I.B. 8 O.B. I.B.

ieoo 70 20 36.4

MITH. MAN DMi = 3.i

124 .7 23.9

300 6.5 47.7

308 iS.i 53.9

2i3 18.6 56.7

iO8 14.7 58.3

42 8.2 59.3

13 3.s 60.0

3 i.0 60.5

i .4 60.9

m ba.9

QUADRATIC HEAN DBH =3.37 UEIBULL PARMETERS

X SURVIVAL= 94.5 HEAN CROYN RATIO =

8.2 6.i

2i.i 97.6

28.9 276.2

33.9 374.0

37.2 314.1

39.6 iB2.2

41.5 78.6

42.9 24.1

44.0 10.3

1364.i

177.8

254.6

221.3

13i.9

58.1

i8.i

7.8

359.4 243.4 310.7 2oe.i

307.2 216.1 204.7 199.2

i79.B 130.0 i72.0 i24.0

77.9 57.6 75.8 55.8

23.9 18.0 23.S 17.6

io.2 7.8 i0.i 7.7

-929.0 --958.4 672.9 876.8 612.4

a = .ss B =2.84 c =i.ps

so.2

18
----CUBIC FOOT UOLUHE ABOVE 0.2 FOOT STUIIP----

AU. STEM ISt:tt8StS~tS8FOR O.B. TOPS OF----tSt:tlStSWtS

TSO(i0) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES 2 INCHES

HT. ACRE AREA HT. O.B. I.B. : O.B.

3 INCHES

I.B. : O.B. I.E.

1500 70 LO 9.1

: 330 ii5 2.5 i.8 75.0 67.5

3 3 .i 77.0

4484.5

ARITH. tiEAN DBH = 1.3 QUADRATXC HEAN DEH =1.3S

X SURUIUAL= iOO.0

6.5 14.0 6.5

12.0 22.8 12.7

i4.7 1.5 .9

- -

38.2 20.i

UEXDULL PARMETERS

HEAN CROUN RATIO =

A = .SS B = .8i c =b.04

69.5

----CUBIC FOOT UOLUHE ABOVE 0.2 FOOT STUIIP----

ALL TREES 8 &INCH CLASS AND GREATER

AV. STEHS StLtMt%ttSSSIFOR O.B. TOPS OF----tltttWttttSSt

TSO(iO) SI- AGE D+C DEH PER BASAL CR AU. 0 INCHES $ 2 INCHES I 3 INCHES

H7. ACRE AREA HT. O.B. I.E. * O.B. I.B. t O.B. I.B.

1500 70 15 24.9

i 263 i.4 46.4

2 sb2 12.3 69.1

3 359 i7.b 74.3

4 108 9.4 76.5

5 ib 2.2 77.8

b i .2 78.6

-iiG 43.1

ARITH. HEAN DBH = 2.3 QUADRATIC liEAN DBH =2.46

X SURVIVAL= 98.6

6.3 10.9 5.0

15.9 i42.4 81.4

21.6 246.7 i55.2

25.2 144.6 96.2

27.6 35.3 24.4

29.4 3.3 2.3

- -

583.2 364.6

UEIBULL PARAHETERS

HEAN CROUN RATIO =

136.3 90.3 iii.2 72.4

34.2 23.6 30.6 20.9

3.2 2.3 3.0 2.1

- --- -

173.7 iib.2 144.8 95.4

A- .55 B =1.96 C =2.07

66.7

19
----CUBIC FOOT 'JOLUME LBO'JE 0.2 FOOT STUHP----

&J. STEM BttttSL8:S8tk8FOR O.B. TOPS OF----tSLtLttS:ltttl

TSO(iO) SI ACE D+C DBH PER BAML CR AU. OINCHES t 2 INCHES 8 3 INCHES

HT. ACRE AREA HT. O.B. I.B. $ O.B. I.B. 8 O.B. I.B.

1501 70 20 36.4

i 141 .8

2 367 8.0

3 378 i0.b

4 244 21.3

S 109 14.9

76 35 8 b-.9 2.1

8 i .3

1283 n.8

19.9 8.9 7.4 3.5

44.6 2i.9 i23.S 72.7

Si.0 29.7 346.9 223.8

53.9 34.5 437.0 297.3

55.5 37.8 321.6 226.8

56.6 40.1 is3.7 iii.3

57.4 4i.9 48.9 3L.i

57.9 43.3 8.1 6.1

ARRITH. HEAN DBH = 3.0 QUADRATIC HEhN DBH =3.23

x sURVIUAL= 88.2

1447.2 977.7

UEIBULL PARMETERS

HEhN CROUN RbTIO =

419.4 204.5 363.8 244.i

314.7 221.6 292.0 204.6

151.7 109.8 145.2 104.8

48.5 35.8 47.1 34.8

8.1 6.1 7.9 5.9

----

942.4 657.8 856.0 594.2

A= .ss B =2.73 C =2.04

46.9

20
----CUBIC FOOT VOLUHE ABOVE Q.2 FOOT STU+---

ALLTREES 8 4-INCH CLASS hND GREATER

AU. STEffi 88888888888888FOR O.B. TOPS OF----88888888888888

TSO(iO) SI ACE D+C DBH 'PER BASAL CR AU. QINCHES 8 2 INCHES 3 INCHES

HT. ACRE AREA HT. O.B. I.B. 8 O.B. I.B. : O.B. I.B.

300 80 10 10.4

ARITH. HEAN DBH = 1.4 RUADRATIC #AN DBH =i.Si

: 104 i62 2:: 70.7 61.2

3 4 .2 73.4

-5 3.3

X SURVIVAL= 100.0

6.3

i2.1 i:::

is.1 2.1 i.2

- -

29.6 is.9

UEIBULL PARAMETERS

HEAN CROUN RATIO =

A= .SS B= .99 C =2.09

b5.i

----CUBIC FOOT VOLWE ABOVE 0.2 FOOT STUHP----

ALL TREES 8 4-INCH CLASS MD GREATER

AU. STEMS 88888888888888FOR O.B. TOPS OF----88888888888888

TSO(iO) SI ME D+C DBH PER BASAL CR IIV. 0 INCHES 8 2 INCHES 8 3 INCHES

HT. ACRE hREh HT. O.B. I.B. 8 O.B. I.B. 8 O.B. I.B.

300 80 15 28.4

ARITH. HEAN DBH = 3.7

: 3: :: 67.0 40.4 14.7 4.9 7.4 .i 4.2 .Q

3 95 4.7 72.9 2i.3 b4.4 40.5

: ii5 5i io.0 7.0 75.4 76.8 25.6 28.5 lf6.i ii5.9 104.0 80.2

6 6 1.2 77.7 30.7 20.5 14.6

380 23.5 -- 3b4.3 243.5

UUADRATIC HEAN DBH =3.79 YEIBULL PhRAHETERS A = .55 B =3.45 c r3.73

X SURVIVIK= iQQ.0 UEAN CROWN RATIO = 73.8

147.3 97.6 120.6 78.6

ii2.4 77.7 101.2 69.4

20.1 14.3 iB.9 13.4

279.8 --- i89.b 240.7 ibi.4

21
----CUBIC FOOT UOLUHE ABOVE 0.2 FOOT STUHP----

AU. STEtlS StSt~tt8tlStSIFOR O.B. TOPS OF----SSXtWLtStSSSX

TSO(iO) SI ACE D+C DBH PER BASAL CR AU. 0 INCHES 8 2 INCHES L 3 INCHES

HT. ACRE MEA HT. O.B. I.E. t O.B. 1.B. t O.B. 1.E

310 80 20 41.6

1.0 26.1 6.6 0.9

ib :: :: Sb.0 49.9 20.1 29.1 14.4 .b

53 98 13.4 4.6 58.8 60.4 35.0 39.1 298.2 9b.i

92 i8.i 61.4 42.b 422.8

34 9.1 62.1 44.3 219.0

3 i.0 62.6 4b.i 25.8

0.0

9::

65.4 92.3 62.6 80.2 53.9

2io .7 292.0 206.i 27i.B 190.9

306.4 416.7 302.4 399.9 289.4

162.4 2i7.2 ibi.0 211.6 156.6

i9.s 25.7 19.4 25.2 i9.0

298 97.8 -- 1076.0 774.1 -- 1043.9 751.5 P_ 988.7 709.8

CIRITH. HEAN DBH = 5.2 QUADRLTIC HEAN DBH =S.36 UEIBULL PhRfaHETERS A = .SS B =5.13 c =4.96

X SURVIUK= 99.9 HEAN CROUN RATIO = 60.0

----CUBIC FOOT 'JOLUHE ABOVE 0.2 FOOT STUHP----

ALL TREES $ 4-INCH CLASS AND GREATER

I\u. STEM ttSlttSt8:LSSSFOR O.B. TOPS OF----ttlLttSStttStt

TSO(iO) SI ACE D+C DBH PER BASAL CR AU. RINCHES s 2 INCHES t 3 INCHES

HT. ACRE AREA HT. O.B. I.B. 8 O.B. 1.B. t O.B. I.B.

400 80 10 10.4

ARITH. HEAN DBH = 1.4 QlJhDRATIC HEM DBH =i.Si

i

2

3

230 1.3 59.4

14i 3.1 70.1

8 .4 72.9

3794.7

X SURVIVAL= 100.0

6.2 9.4 4.4

12.0 28.0 15.6

is.0 3.9 2.4

------

41.4 22.4

NEJBULL PARAHEfERS A = .SS B= .98 C =1.98

HEAN CROUN RATIO = 63.6

22
----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUHP----

AU. STEHS :888888:::88:8FOR O.B. TOPS OF----88888888888888

TSD(iO) SI AGE D+C DBH PER BbSK CR IIV. 0 INCHES 2 INCHES 3 INCHES

HT. ACRE AREA HT. O.B. I.B. : O.B. I.B. : O.B. I.E.

--ho SO i5 20.4

i 31 .2

2 146 3.2

3 210 10.3

: 147 53 i2.8 7.2

b 9 1.8

7 ! .3

-597 -iFi

36.7 5.3 1.2 .5

bS.1 15.3 35.8 20.4

7i.4 21.8 145.5 91.6

74.1 26.0 202.8 i35.2

75.b 28.9 122.0 84.6

7b.b 3i.i 3i.i 22.2

77.2 32.7 4.8 3.5

ARITH. HEAN DBH = 3.1 QUADRATIC HEAN DBH =3.31

% SURVIVhL= 100.0

543.1 358.0

MIBULL PIRAHETERS

HEM CROWN RATIO =

19i.b 127.2

118.4 81.9

30.6 2i .8

4.8 3.5

- -

345.4 234.4

A = .55 B =2.90

b9.2

157.4 102.9

106.8 73.3

28.8 20.4

4.6 3.3

- -

297.6 199.9

C r2.63

----CUBIC FOOT UOLUHE ABOVE 0.2 FOOT STUHP----

ALL TREES 8 4-IWCH CLASS AND GREATER

AV. STEHS :888t888888:88FOR O.B. TOPS OF----88888888888888

TSU(iO) ST AGE D+C DBH PER BASAL CR AV. 0 INCHES 8 2 INCHES 8 3 INCHES

HT. ACRE AREA HT. O.B. I.B. 8 O.B. I.B. 8 O.B. I.B.

--GO SO 20 41.6

ARITH. MEAN DBH = 4.2 QUADRATIC HEAN DBH =4.45 YEIBULL PARAHETERS

5

46

1211

174

151

77

21

3

-57

.a i9.i

1.0 44.5

5.9 5i.i

15.2 54.i

20.6 55.8

15.1 51.9

5.6 57.6

1.0 58.2

b4.5

X SURVIVAL= 99.7 HEAN CROUN RATIO =

7.6 .2 .i

21.5 is.2 8.9

30.4 112.6 72.7

36.1 325.3 222.0

40.i 471.0 333.5

43.0 360.6 262.2

45.2 137.7 io2.2

46.9 26.2 19.8

i448.8 io21.5

3i2.9 2i2.9 273.4 i04.2

461.5 326.3 430.6 303.0

356.3 258.9 342.2 248.0

136.6 101.4 133.2 90.7

2b.i 19.7 25.6 19.3

----

i293.4 919.2 i205.0 853.2

A = .55 B =4.14 C =3.21

53.3

23
----CUBIC FOOT UOLWE ABOVE 0.2 FOOT STUHP----

ALL TREES t &INCH CLASS AND GREATER

AV. STEHS StWWSISXttSFOR 0.B. TOPS OF----tttXISltStStb:

TSO(iO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES L: 2 INCHES $ 3 INCHES

HT. ACRE AREA HT. O.B. I.B. t O.B. I.B. t O.B. I.B.

980 80, 10 10.4

:

3

ARITH. HEM DBH = 1.4

273 i.S 58.2

164 3.6 69.5

10 .s 72.6

4475.6

QUADRATIC MEAN DBH =i.Si

X SURVIVAL= 100.0

6.i 1i.i 5.1

ii.9 32.4 i8.0

14.9 4.9 3.0

48.4 26.2

UEIBULL PARAHETERS

?tEAN CROUN RATIO =

-- --

A = .ss B = .98 c =1.93

62.5

----CUBIC FOOT VOLUHE ABOVE 0.2 FOOT STUHP----

ALL TREES 8 4-INCH CLASS AND GREATER

AU. STEM tltXSLtf%MtStFOR O.B. TOPS OF----lttlStStWttSt

TSO(i0) SI _ AGE D+C DBH PER BASAL CR AU. 0 INCHES $ 2 INCHES 8 3 INCHES

HT. hCRE AREA HT. O.B. I.B. S O.B. I.E. t O.B. I.B.

900 80 15 28.4

ARITH. WEAN DBH = 2.8 QUADRATIC MEAN DBH =3.00

ii2 .6 33.0

204 6.2 63.3

268 i3.2 70.0

is0 13.1 72.8

54 7.4 74.4

13 2.6 75.4

2 .S 76.1

883 43.5

X SUR'JIWL= 99.9

5.6 4.3 2.0

if.8 71.6 40.9

22.3 i89.S ii9.s

26.5 2io.2 i40.3

29.3 125.9 07.3

3i.4 45.4 32.4

33.0 9.8 7.1

- -

656.7 429.6

YEIBULL PARMETERS

MEAN CROYN RATIO =

198.8 132.1 i64.0 i07.3

122.2 84.6 iio.4 75.9

44.6 3i.8 42.0 29.8

9.7 7.0 9.3 6.8

----

375.3 255.5 325.7 219.8

A= .ss B =?.Si C =2.05

64.0

24
----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUtiP----

AU. STEMS ILtttStltlttSLFOR O.B. TOPS OF----ttXltt%tXSSXXX

TSO(l0) SI AGE D+C DBH PER BASAL CR A'J. 0 INCHES t 2 INCHES I 3 INCHES

HT. ACRE AREA HT. O.B. I.B. $ O.B. I.B. 1 : O.B. 1.B

900 80 20 41.6

ARITH. IIEAN DBH = 3.6 QUADRATIC HEAN DBH r3.93 UEIBULL PARAHETERS A = .ss B =3.48 c =2.22

49 .3

167 3.6

230 11.3

209 la.2

137 18.7

67 13.2

2s 6.7

7 2.4

I .4

892 74.8

11.7

38.7

45.7

48.9

50.7

51.9

52.8

53.4

53.8

X SURVIVAL= 99.2 HEAN CROUN RATIO = 44.8

8.6 2.5 1.2

22.9 58.5 34.6

31.7 224.6 145.6

37.3 402.7 275.5

41.2 437.9 310.6

43.9 320.3 233.2

46.0 166.9 124.0

47.7 62.1 46.9

49.0 11.4 a.7

- -

1686.9 1180.3

387.9 264.6

429.4 304.1

3ib.S 230.3

US.6 123.0

61.8 46.7

11.3 a.7

1372.5 977.4

340.7 230.2

401.5 283.0

304.4 220.9

161.5 119.8

60.8 45.9

11.2 8.6

1280.1 908.4

----CUBIC FOOT UOLUNE ABOVE 0.2 FOOT STUHP----

ALL TREES t 4-INCH CLASS AND GREATER

AU. STEHS tUWtttSIStttF0R 0 .B. TOPS OF----lttt#tttltt%t

TSO(l0) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES $ 2 INCHES : 3 INCHES

HT. ACRE AREA HT. O.B. I.B. t O.B. I.B. X O.B. 1.B

1200 80 IO 10.4

ARITH. HEAN DBH = 1.4 QUADRATIC NEAN DBH =l.Sl

1

2

3

316 1.7 57.8

187 4.1 69.0

13 .b 72.2

516b.4

X SURVIVAL= 100.0

6.0 12.8 5.9

11.8 36.7 20.5

i4.8 b.4 3.9

------

55.9 30.2

UEIBULL PARAHETERS A = .S'i B = .98 c =1.88

HEAN CROUN RATIO = 61.7

25
----CUBIC FOOT UOLUHE ABOVE 0.2 FOOT STUMP----

AU. STEMS tStStttStStt:tFOR 0.B TOPS OF----SXttSttSStttM

TSO(iO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES L 2 INCHES t 3 INCHES

HT. hCRE AREA HT. O.B. I.B. t O.B. I.B. t 0.B I E

i200 80 15 28.4

ARITH. HEAN DBH = 2.6

194 i.L 29.4 6.0 7.8 3.6

41i 9.0 bi.5 ib.3 106.6 6i.i

330 ib.2 68.5 22 8 237.9 150.3

157 13.7 7i.5 26.9 223.3 149.2

49 6.7 73.2 29.7 1iS.b 80.2

10 2.0 74.3 31.8 35.3 25.2

2 .s 75.0 33.3 9.8 7.2

- z 49.1 -- 736.3 476.8

GWDRATIC MEAN DBH =2.79 UEIBUtL PARMETERS a= .55 B =2.27 c =I 94

2 SURVIVAL= 99.7 NEAN CROUN RhTIO q 60 I

211 4 140 7 174.9 114 7

1'12.3 77 8 ioi b b9.9

34.7 24.7 32.7 23 2

9.7 7.1 9.4 68

- - _I_- -_.- . _ -._

368.1 250.3 318 6 ii4 6

----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUHP----

ALL TREES $ 4-INCH CLASS AND GREATER

AU. STEMS ttlMStttSttttF0R 0.B TOPS OF----ttttttttStXXtt

TSO(iO) SI AGE D+C DBH PER BASAL CR AV. 0 INCHES t 2 INCHES t 3 INCHES

HT. ACRE AREI HT. O.B. I.B. t O.B. I.B. t 0.B 1.B

1200 80 20 41.6

ARITH. DEAN DBH = 3.3 QUADRATIC HEAN DBH =3.65 YEIBULL PARMETERS

108

274

386

238

i4i

66

25

:

.6 10 0

6.0 32.6

f5.0 40.1

20.8 43.5

19.2 45.4

I3.0 46.7

6.7 47.6

2.8 48.3

.9 48.8

ei.9

X SURVIVAL= 98.0 HEAN CROUN RATIO =

9.8

24.4

33.1

38.5

42.2

44.9

46.8

48.4

49.6

6.0 2.9

ioi.4 60.2

310.3 201.8

472.0 323.6

4bi.3 327.6

321.7 234.5

i69.7 126.2

72.1 54.5

23.1 17.7

- -

1937.4 1349.0

455.2

452.5

3iB.O

168.4

7i.7

23.0

1488.8

A = .55

37.5

311.3 401.7 272 i

32i.0 424.0 299 4

23i.6 306.i 222 5

525.2 ib4.4 122 0

54 2 70 5 53.3

17 b 22.7 i7 4

- - - - -

IOb0.9 1389 4 986 7

R =3.13 c =1.95

26
----CUBIC FOOT VOLUHE ABOVE 0.2 FOOT STUHP----

AU. STEMS StStttttltttS#OR O.B. TWS OF----SSlttttLtWW

TSO(iO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES t 2 INCHES $ 3 INCHES

HT. ACRE AREA HT. O.B. I.B. $ O.B. I.B. I O.B. I.B.

is00 SO 10 10.4

.

1 360 2.0 5.7

2 210 4.6 68.5

3 ib .8 7i.9

5Bb7.3

ARITH. HEAN DBH = i.4 QUADRATIC HEAN DBH d.51

X SURVIVAL= 100.0

5.9 14.4 6.6

ii.8 41.0 22.8

14.8 7.8 4.8

------

63.3 34.2

UEIBULL PARAHETERS A = .55 B = .98 C =I.85

HEAN CROUN RATIO = 60.8

----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUHP----

ALL TREES t 4-INCH CLASS AND GREATER

AU. STEMS ttSSSltXtLtSt&FOR O.B. TOPS OF----:SLtStStlStttS

TSO(IO) SI AGE D+C DBH PER BASAL CR AU. 0 INCHES t 2 INCHES 8 3 INCHES

HT. ACRE AREA HT. O.B. I.B. t O.B. I.B. t O.B. I.B.

i 210 i.1 25.7 6.4 8.8 4.1

2 565 12.3 59.7 ib.8 iso. 86.5

3 444 21.8 67.1 23.2 325.9 206.2

4 isa i3.8 70.3 27.3 227.8 152.5

5 20 3.8 72.0 30.1 66.8 46.4

b 2 .4 73.i 32.1 7.1 5.1

1407 53.5 -- 78b.9 500.7

ARITH. HEAN DBH = 2.5 QUADRATIC HEAN DBH =2.63 UEIBULL PARAIIETERS

X SURVIVAL= 99.2 WEAN CROUN RATIO =

21S.9 143.8 i79.2 ii7.7

64.9 45.0 58.8 40.5

7.0 5.0 6.6 4.7

- - 287.8 i93.8 -iirb-iiz

A = .ss B =2.ib C =2.23

50.4

27
----CUBIC FOOT VOLUME ABOVE 0.2 FOOT STUtlP----

AU. STEMS SSSttLZttLttttFOR O.B. TOPS OF----SStltlXL%ttMY

TSO(iO) SX ACE D*C DBH PER BASAL CR AU. 0 INCHES I 2 INCHES 3 lNCHES

HT. ACRE AREA HT. O.B. I.B. 1: O.B. 1.B. : 0.B 1.h.

iSO0 80 20 4i.b

i 97 .5

2 33i 7.2

3 421 20.7

4 324 28.3

S ibS 22.5

7 6 5 7 1 3 ii.2 3.5

8 2 .7

1410 94.6

10.0 10.9 5.9 2.8

26.7 25.8 i28.S 76.7

34.6 34.3 441.3 287.8

38.3 39.6 bS8.9 452.5

40.4 43.1 550.8 391.8

4i.7 45.7 282.6 206.2

42.6 47.b 89.5 bb.7

43.3 49.i 18.2 13.8

ARITH. HEAN DBH = 3.3 QUADRATIC HEAN DBH =3.51

X SURVIVAL= 95.3

2175.7 1498.4

UEIBULL PARAMETERS

HEAN CROUN RATIO =

b3b.3 435.9 563.7 382.6

540.7 384. i 507.5 358.9

279.4 203.8 269.2 195.9

88.9 bb.i 86.8 64.5

18.2 13.7 17.9 13.5

- - - -

1563.5 1103.6 i44s.i 1015.4

A = .ss B =3.0b C =2,26

33.0

2 8
Farrar, Robert M., Jr. 1985. Predicting stand and stock tables

from a spacing study in naturally regenerated longleaf pine.

U.S. Dep. Agric. For. Serv. Res. Pap. SO-219, 28 p. South.

For. Exp. Stn., New Orleans, LA.

Paper outlines a prediction system developed to calculate

stand and stock tables for stands of natural longleaf pine 10

to 20 years old. The system also provides entry to other stand

volume prediction and projection systems that usually start

at age 20.

Additional keywords: Pinus palustrus; volume prediction;

volume yields; crown ratio, survival prediction.

,lJ.S.GOVERNMENT~GOFFlCE:1985 -659 -080/ 40009 REGlONNO.4

.- ___