Presents equations and tables for esti

....._,

INTERMOUNTAIN FOREST & RANG!': EXPERIMENT STATION SO? 25th STREET OGDEN. UTAH 84401

USDA Forest Service Research Note INT-212

November 1976

BREAST JEIGHJ

David W. Hann, Research Forester ABSTRACT

'Presents equations and tables for estimating diameter at breast height from stump diameter for ponderosa pine ("yellow" and "blackjack" pine separately), Douglas-fir^ aspeni white fir,, southwestern white pine, and from combined data for Engelmann spruee and oorkbark fir. The basic data oame from five National Forests in Arizona and New Mexico, and were analyzed using weighted least squares regression techniques. KEYWORDS:

diameter measurements (stem), stump-d.b.h,, conversion tables

When reconstructing temporary growth plots, or when conducting a forest inventory or a timber trespass appraisal, it is often necessary to estimate a cut tree's volume by estimating its diameter at breast height (d.b.h.) from the diameter of the remaining stump and an estimate of the height of the removed tree. An estimate of tree height can be obtained by the d.b.h.-tree height relationship of other trees in the area or bymeasuring the distance from the stump to the top remnants, if they exist. This paper presents estimated d.b.h. values for given stump diameters for seven tree species in Arizona and New Mexico. DATA SOURCES AND METHODS The data used in this study were collected from five National Forests by field crews from the Division of Timber Management, Southwestern Region, Forest Service, Albuquerque, New Mexico (table 1) „ In the study area, "Blackjack" and "yellow" pines are distinguished on the basis of bark color that is related to their age, growth, and vigor rather than botanically; "blackjack" pines have very dark bark and "yellow" pines heavily plated, orange bark. Foresters in the Southwest find this distinction useful in forest management planning.

,-A .-

-
. 3 28 ,4 29,2 29 ,3 3 0 , 2 30 .2 31.1 31 .2 3 2 . 0 32 .1 52.9 33 .0 6,4

0.5

0,4

5,6 6,5 7,5 8,4 9.3 10,2 11.1 12 .0 1 2. Q 13,9 1 4 ,6 15.7 16« 6 17,5 18,4 1 '-i . «

20.3 21,2 22.1 23,0 23,9 24,6 25.8 26,7 27,6 28,5 29,4 30,3 31.3 32.2 33.1

i - i ' i

L

t * i* i i L

5,7

6» 6 7,5

0 ,6

0,8

0, 9

5,9 6 ,8 7.7 6,6 9, 6 10,5 11.4 12.3 13.2 14,1 15.1 16 . C 1 6. 9 17 . 8 1 6.7 19, 6

6,0 6.9 7,6 8,7 9,7

6, 1 7. C 7, 9 p;. p, 9•7 10. 7 11. 6 12. 5 13, 4 14. 3 15. 2 16. 2 17, 1

J

5 .8 6 .7

7 .6 a .6 9 ,5 9,4 1 U . 3 10 . 4 11.2 11 ,3 12.1 12 .2 13,0 13 .1 14.0 14 .0 14.9 15 ,0 15.8 15 ,9 16.7 16 .8 17.6 1 f ,7 1 8 . 5 14 ,6 19.4 19 ,5 20,4 2 ,J .5 2 1 . 3 2i, .4 2 2 . 2 21 .3 23. 1 Z;> .2 24,0 2-t ,1 2 4 . 9 2 5 .0 2 s , 9 / ^ .9 2 6 . 8 c 5 ,9 2 ? , 1 2? »e 2 ti , 6 23 ,7 2 9 , 5 29 ,6 3 0 , 4 3J ,5 3 i , 3 31 .4 3 e. . j 32 .4 33 . 3 33,2

e..j»

C.7

20,5 21.5 22.4 23,3 24,2 25,1 26.0 "> 7 , C

27,9 28,6 29.7 30.6 31.5 32.4 33.4

10.6 11.5 12.4 13,3 14.2 15,1 16. 1 17,0 17.9 16,9 19.7 P.O. 6 21.6 22.5 23.4

24,3 25.2 26. 1 2 7 ,0 26.0 26.9 29, 8 30.7 31.6 32. 5 33.5

IR.0 la. 9

19, 8 ?e. 7 21. 6 22. 6 23. 3 24 . 4

25 .

26. 7^ 27. 1 2s, 1 2*. 0 29. 0 30, R 31. 7 32. 6 33. 5

TABLE 4.

- - TREE D.B.H.

O U T S I D E B A R K , FROM D I A M E T E R I N S I D E B A R K AT THE TOP OF A

1 .2-FGQT-HIGH STUMP SOUTHWESTERN WHITE PINE L I N C O L N N.F. STUKP DIAMETER (INCHES)

0.0

0. 1

0. 2

0 ,3

0. 4

0,5

j.6

n .7

0. e

( K=* a*

t X « 3 C X 3 S : W X

0 .9 £ X 3E 3C S£ X £!

- D. B . H • I N I N C H 5 6 7 d 9

10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35

5,1 6, 1 7,0 8.0 8.9 9,9 10,9 11.8 12.8 13,7 14.7 15.6 16,6

17,5 18.5 19.4 20,4 21.3 22.3 23.2 24,2 25.1 26.1 27,0 28, 0 29,0 29.9 30,9 31,8 32. b 33,7

5,2 6, 2 7 .1 8, 1 9. 0 10. 0 10. 9 11. 9 12. 9 13. 8 14. 8 15. 7 16. 7 17. b 18. 6 19. 5 20, 5 21. 4 22. 4 23, 3 24, 3 25. 2 26, 2 27. 1 28. 1 29. 0 30. 0

il.0 31, 9 32, 9 33. 6

5, 3 6. 3 7. 2 8, 2 9. 1 10. 1 11. 0 12, 0 12. 9 13, 9 14. 9 15. 8 16. 8 17, 7 18. 7 19, 6 20, 6 21. 5

iZ, 5 23, 4 24, 4 25, 3 26, 3 27. 2 2». 2 29. 1 30. 1 31. 0 32. 0 33. 0 33. 9

5 ,4 6 ,4

5, 6. 5 7. 4 7 .3 e .3 8. 4 9 ,2 9, 3 10 ,2 10, 3 11 .1 11. 2 12 . 1 12. 2 13 .0 13. 1 14 ,0 14, I 15, 0 14 ,9 15 , 9 16. 0 16 ,9 16. 9 17 .8 17. 9 18 . t> 18. 9 19. 8 19 , 7 2C .7 2 0 , 8 21 ,6 21. 7 2 2 ,6 2 2 , 7 2 3 .5 23. 6 2 4 .5 2 4 , 6 25. 5 25 , 4 2 6 .4 26. 5 27 .3 2 7 . 4 28 .3 2 8 , 4 29 , 2 29, 3 30. 3 30 .2 31 .1 31, 2 32 . 1 32, 2 33 .0 33, 1 34 .0 3 4 . 1

5 ,7 o. 7 7.5 7.6 «. 5 ;K6 9,4 9, 5 1 U , 4 10 .5 11,4 11.3 12.3 12 .4 13.2 13.3 14.3 14,2 15.1 15.2 16.1 16.2 17.0 17,1 16.0 18.1 18.9 19.0 19.9 20 .0 2 0 . 9 21.0 21, fa 2 1 , 9 22. d 22. 9 23.7 23,8 24.7 24.8 25.6 25.7 2 6 . 6 26 • 7 27,5 2/.6 23.5 23.6 29.4 29.5 30.4 3:) . 5 31.3 31.4 32.3 32.4 33.2 33,3 34.2 34.3 5,6 6, t>

5 .8 5. 9 6,8 6, 9 7. a 7 .7 e .7 8, 8 Q .6 9. 7 10 .6 10. 7 11 • ^ 11. 6 12 . 5 12. 6 13 . 4 13. 5 14 , 5 14 .4 15 . 3 15. 4 16 . 3 l b « 4, 17 .2 17. 3 18 , 2 18. 3 19 ,1 19. 2 20 . 1 20. 2 21 , 0 El, 1 22 .0 2 2 . 1 2 3 .0 23. 0 23 .9 2 4 . 0 2 4 .9 25, 0 2 5 .8 25. 9 2 6 . 9 26. 9 27 ,7 2 7 , 8 28 .7 2 6 . 8 29 .6 29. 7 30 .6 30. 7 31 .5 31. 6 32 .5 32, 6 33 . 4 33, 5 34 . 4 34, 5

6 .0 6 .9 7 .9 r! . 9 V. 8 1 j, 8 11 .7

12 , 7 13 , < > 14 . 0 1 J ,5 16 .5 17 .4 18 .4 19 .3 20 , 3 21 . 2 22 , 2 2 3 .1 24 .1 25 .0 26 .0 27 .0 27 . 9 28 .9 29 .3 30 .8 31 .7 32 .7 33 .6 34 .6 e x a * —x

TABLE 5. - - T R E E D.B.H.

STUMP DIAMETER {INCHES)

0.0

B S 56 S 3 * Si i S T B G IS y * Si £ s

OUTSIDE B A R K , F R O M D I A M E T E R I N S I D E B A R K AT THE TOP OF A 1 .0-FOOT-HIGH STUMP ENGELMANN SPRUCE-CORKBARK FIR SANTA FE, C A R S O N N . F .

0,2

0.1 s s & a 3f

»

0,4

0.3

0.5

0,6

Q

0.8

0,9

5.6

5 .7 6.6 7.5 9.4 q.?

*- ~_=_

S 3S, B X 3 S

~ "*~ *"

0,7

i_J

* o»H«

5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

4 9 5, b 6.7 7.6 8.4 9.3 10.2 11.1 12.0 12.8 13.7 14.6 15.5 16.4 17.2 18.1 19.0 19.9 20.7 21.6 22.5 23.4 24,3 25.1 26.0 26.9 27. a 23.6 29.5 30. 4 31.3

5. 0 5. 9 6. 8 7. 7 8. 5 9. 4 10. 3 11. 2 12. 0 12, 9 13. 8 14. 7 15. 6 16. 4 17. 3 18. 2 19. 1 20. 0 20. 8 21. 7 22. 6 23. 5 24. 3 25. 2 26. 1 27. 0 27. 9 28, 7 29, 6 30. 5 31. 4

5.1 6.0 6.9 7.7 8.6 9. 5 iO.4 11.3 ±2.1 13.0 13.9 14. o 15.6 16.5 17.4 lb.3 19.2 20.0 20.9 21.8 22.7 23.5 24.4 2>,3 26.2 27. 1 27.9 28. e 29.7 30.6 Jl.5

5.2 6,1 7.0 7.8 8,7 9.6 10.5 11.3 12,2 13,1 14.0 14.9 15.7 16.6 17.5 18.4 19.2 20.1 21.0 21.9 22.8 23.6 24,5 25.4 26,3 27,1 28.0 2d,9 29.8 30.7 31.5

5,3 6.2 7.0 7.9

s. a

9.7 10.6 11.4 12,3 13.2 14.1 14.9 15.8 16.7 17.6

lb .5

19.3 20.2 21. 1 22.0 22.8 23.7 24.6 25.5 26.4 27.2 28.1 29.0 29.9 30. 7 31.6

5.4 6,3 7.1 CJ.O

o,9 9.8 10.6 11.5 12.4 13.3 14.2 15,0 15.9

16, d

17.7 Id. 5 19.4 20.3 21,2 2.,6 15.7

3.6 •*,& 10,6

16.6 J7.6 Id. 5 19,5

20.5 21.5 22.5 23.5 24.5 25.5

16,7 17,7 18,6 19.6 20,6 21.6

22.6 23.6 24.6 25.^ 25.6 26. 4 26. 5 26.6 27.4 27.5 27 .6 28,