﻿Table 
  2.— 
  A 
  guide 
  for 
  using 
  woodland 
  volume 
  equations 
  and 
  tables 
  in 
  the 
  centra 
  

  

  Rocky 
  Mountain 
  States 
  

  

  

  

  

  Area 
  of 
  

  

  Volume 
  equation 
  coefficients^ 
  

  

  Volume 
  table 
  number 
  

  

  State 
  

  

  Species 
  

  

  application 
  

  

  a 
  

  

  b 
  

  

  

  (in 
  appendix 
  B) 
  

  

  Colorado 
  

  

  Hardw/oods^ 
  

  

  entire 
  State 
  

  

  -0.13822 
  0.121850 
  

  

  

  

  18 
  

  

  

  

  poctprn 
  Colorado 
  

  

  -.19321 
  

  

  136101 
  

  

  0.038187 
  

  

  12 
  

  

  

  Utah 
  juniper 
  

  

  western 
  Colorado 
  

  

  -.08728 
  

  

  135420 
  

  

  -.019587 
  

  

  9 
  

  

  

  Rocky 
  Mountain 
  juniper 
  

  

  entire 
  State 
  

  

  .02434 
  

  

  119106 
  

  

  

  

  11 
  

  

  

  Pinyon 
  

  

  entire 
  State 
  

  

  

  

  .054178 
  

  

  14 
  

  

  

  Gambel 
  oak 
  

  

  entire 
  State 
  

  

  -.13600 
  

  

  145743 
  

  

  

  

  15 
  

  

  Idaho 
  

  

  Mountain-mahogany 
  

  

  southern 
  Idaho 
  

  

  -.13363 
  

  

  128222 
  

  

  r\ 
  r\ 
  r\ 
  f\ 
  c\ 
  

  

  .080208 
  

  

  17 
  

  

  

  

  southern 
  Idaho 
  

  

  -.13822 
  

  

  121850 
  

  

  

  

  18 
  

  

  

  Western 
  juniper 
  

  

  southern 
  Idaho 
  

  

  -.22048 
  

  

  125468 
  

  

  .100092 
  

  

  10 
  

  

  

  Utah 
  juniper 
  

  

  southern 
  Idaho 
  

  

  -.13386 
  

  

  133726 
  

  

  .036329 
  

  

  6 
  

  

  

  Rocky 
  Mountain 
  juniper 
  

  

  southern 
  Idaho 
  

  

  .02434 
  

  

  119106 
  

  

  

  

  11 
  

  

  

  Singleleaf 
  pinyon 
  

  

  southern 
  IdahO'^ 
  

  

  -.14240 
  

  

  148190 
  

  

  -.016712 
  

  

  13 
  

  

  Nevada 
  

  

  Mountain-mahogany 
  

  

  entire 
  State 
  

  

  — 
  . 
  1 
  oouo 
  

  

  

  .080208 
  

  

  17 
  

  

  

  Western 
  juniper 
  

  

  entire 
  State 
  

  

  -.22048 
  

  

  .125468 
  

  

  .100092 
  

  

  10 
  

  

  

  Utah 
  juniper 
  

  

  Carson 
  City, 
  Battle 
  

  

  

  

  

  

  

  

  Mountain, 
  Elko, 
  and 
  

  

  

  

  

  

  

  

  Las 
  Vegas'' 
  

  

  -.13386 
  

  

  .133726 
  

  

  .036329 
  

  

  g 
  

  

  

  Utah 
  juniper 
  

  

  Ely'' 
  

  

  -.03655 
  

  

  .135689 
  

  

  - 
  .018476 
  

  

  7 
  

  

  

  Utah 
  iiininpr 
  

  

  Winnemucca 
  and 
  

  

  

  

  

  

  

  

  Susanville" 
  

  

  .04829 
  

  

  114358 
  

  

  -.045779 
  

  

  8 
  

  

  

  Singleleaf 
  pinyon 
  

  

  entire 
  State 
  

  

  -.14240 
  

  

  148190 
  

  

  -.016712 
  

  

  13 
  

  

  South 
  Dakota 
  

  

  Bur 
  oak 
  

  

  Black 
  Hills 
  

  

  .12853 
  

  

  105885 
  

  

  

  

  16 
  

  

  Utah 
  

  

  Mountain-mahogany 
  

  

  eastern 
  Utah 
  

  

  -.13363 
  

  

  128222 
  

  

  .080208 
  

  

  17 
  

  

  

  Utah 
  juniper 
  

  

  eastern 
  Utah 
  

  

  - 
  .08728 
  

  

  .135420 
  

  

  -.019587 
  

  

  9 
  

  

  

  Utah 
  juniper 
  

  

  western 
  Utah 
  

  

  -.13386 
  

  

  .133726 
  

  

  .036329 
  

  

  6 
  

  

  

  Rocky 
  Mountain 
  juniper 
  

  

  eastern 
  Utah 
  

  

  .02434 
  

  

  .119106 
  

  

  

  

  11 
  

  

  

  Pinyon 
  

  

  eastern 
  Utah 
  

  

  - 
  .20296 
  

  

  .150283 
  

  

  .054178 
  

  

  14 
  

  

  

  Singleleaf 
  pinyon 
  

  

  western 
  Utah 
  

  

  -.14240 
  

  

  .148190 
  

  

  -.016712 
  

  

  13 
  

  

  Wyoming 
  

  

  Mountain-mahogany 
  

  

  entire 
  State 
  

  

  -.13363 
  

  

  128222 
  

  

  .080208 
  

  

  17 
  

  

  

  Hardw/oods^ 
  

  

  entire 
  State 
  

  

  -.13822 
  

  

  .121850 
  

  

  

  

  18 
  

  

  

  Utah 
  juniper 
  

  

  entire 
  State 
  

  

  - 
  .08728 
  

  

  .135420 
  

  

  -.019587 
  

  

  9 
  

  

  

  Rocky 
  Mountain 
  juniper 
  

  

  entire 
  State 
  

  

  .02434 
  

  

  .119106 
  

  

  

  

  1 
  1 
  

  

  

  Pinyon 
  

  

  entire 
  State^ 
  

  

  -.20296 
  

  

  .150283 
  

  

  .054178 
  

  

  14 
  

  

  

  Bur 
  oak 
  

  

  Black 
  Hills 
  

  

  .12853 
  

  

  .105885 
  

  

  

  

  16 
  

  

  / 
  V 
  = 
  gross 
  cubic 
  foot 
  volume 
  of 
  wood 
  and 
  bark 
  to 
  a 
  1.5-inch 
  mbd 
  

   ^The 
  volume 
  equation 
  is: 
  V 
  = 
  [a 
  + 
  b(DRSQH)'" 
  + 
  c 
  STEM]^, 
  where: 
  < 
  DRSQH 
  = 
  DRC 
  (inches) 
  squared 
  times 
  height 
  (feet) 
  

  

  ' 
  STEM 
  = 
  1 
  for 
  single-stem 
  trees; 
  for 
  multiple-stem 
  trees. 
  

   ^This 
  equation 
  is 
  a 
  rough 
  approximation 
  for 
  the 
  following 
  trees: 
  willow, 
  boxelder, 
  maple, 
  hawthorn, 
  ash, 
  locust, 
  and 
  cherry. 
  

   ^Only 
  a 
  few 
  trees 
  were 
  represented 
  in 
  the 
  sample 
  for 
  this 
  State. 
  

   ■"These 
  are 
  BLM 
  districts 
  in 
  Nevada. 
  

  

  A 
  recomputed 
  statistic 
  is 
  listed 
  for 
  each 
  volume 
  

   equation 
  in 
  table 
  3. 
  The 
  statistic 
  was 
  recomputed 
  in 
  

   the 
  original 
  cubic 
  foot 
  volume 
  scale 
  using 
  the 
  following 
  

   formula: 
  

  

  n 
  

  

  (n-1) 
  E 
  (V-V/ 
  

  

  R2 
  = 
  1 
  (4) 
  

  

  n 
  

  

  (n-p) 
  E 
  (V 
  -Vf 
  

   i 
  = 
  1 
  

  

  where 
  

   /\ 
  

  

  Vj 
  = 
  predicted 
  volume 
  (ft^) 
  of 
  the 
  ith 
  tree 
  

  

  Vj 
  = 
  visually 
  estimated 
  volume 
  (ft^) 
  of 
  the 
  ith 
  tree 
  

  

  V 
  = 
  mean 
  of 
  n 
  visually 
  estimated 
  volumes 
  (ft^) 
  

   n 
  = 
  number 
  of 
  trees 
  

  

  p 
  = 
  number 
  of 
  model 
  parameters 
  (in 
  this 
  case 
  p=3). 
  

  

  7 
  

  

  