Cubic Foot Volume Equations for Southeastern United States

Cubic Foot Volume Equations for Southeastern United States Instructions Verify that your Project Area is located within one of the Supersections in the table below. Use the equations provided to calculate cubic foot volume for each tree. There is a separate equation for each of the following five categories: saplings plantation planted slash pine and loblolly pine saplings plantation planted saplings of other species poles (different diameter breaks for conifers and hardwoods) saw timber (different diameter breaks for conifers and hardwoods) Adjust the resulting VOLCFGRS (gross cubic foot volume) to VOLCFSND (sound cubic foot volume) by subtracting rotten and missing cull volume in the central stem of each tree. Use VOLCFSND with Appendix J of the FIA Database Users Manual which is titled Biomass Estimation Using the Component Ratio Method found on the Forest Project Protocol Resources page. Volume Equation Group Southeastern United States Supersection Atlantic Coastal Plain & Flatwoods Blue Ridge Mountains Central Interior Broadleaf Forest Eastern Low Plateau Central Interior Broadleaf Forest Western Low Plateau Cross Timbers and Prairie Eastern Broadleaf Forest Cumberland Plateau & Valley Florida Coastal Plains Central Highlands Florida Everglades Gulf Coastal Plain MS River Delta MS River Mixed Forest Northern Atlantic Coastal Plain Ozark Broadleaf Forest-Meadow Boston Mountains SE Middle Mixed Forest Arkansas Valley SE Middle Mixed Forest Cumberland Plateau & Valley 1

Volume Equation Group Southeastern United States Supersection SE Middle Mixed Forest Piedmont SE Middle Mixed Forest Western Mid Coastal Plains Southwest High Plains Southwest Plateau Subtropical Prairie Parkland Gulf & Oak Prairie Equations Computes cubic foot volume from a 1 foot stump to a 4 inch top (VOLCFGRS) for poles and sawtimber and total volume for saplings. Saplings: DBH 1.0 and < 5.0 Plantation planted saplings: Poles: Saw timber: Where, VOLCFGRS = A1(SPN) + A2(SPN)x DBH 2 x HT Slash pine and loblolly pine (SPN 111 and 131): All other species: VOLCFGRS = B1(SPN) + B2(SPN)x DBH 2 x HT VOLCFGRS =.045146+.002357 x DBH 2 x HT Conifer (SPN<300), DBH 5.0 and < 9.0 Hardwood (SPN 300), DBH 5.0 and < 11.0 VOLCFGRS = C1(SPN) + C2(SPN) x DBH 2 x HT Conifer (SPN<300), DBH 9.0 Hardwood (SPN>300), DBH 11.0 VOLCFGRS = D1(SPN) + D2(SPN) x DBH 2 x HT VOLCFGRS = Cubic foot volume for use with FIA Database Description and Users Manual, Appendix J, Tables 4 and 5 DBH = Diameter at breast height (inches) H = Height (feet) A1 D2 = Coefficients by species (see table following equation) SPN = Species number 2

Cubic Foot Volume Equations for Southeastern US July 9, 2010 Volume Equation Coefficients by Species Species ID Common Name Genus Species A1 A2 B1 B2 C1 C2 D1 D2 10 fir spp. Abies spp. 0.065755 0.002813-0.09992 0.002097 0.879371 0.001845 43 Atlantic white-cedar Chamaecypar is thyoides 0.010169 0.002839 0.247418 0.002161 1.668389 0.001822 60 Drooping juniper Juniperus flaccida 0.052928 0.002853-0.31588 0.002207-0.10425 0.002145 67 southern redcedar Juniperus virginiana 0.052928 0.002853-0.31588 0.002207-0.10425 0.002145 68 eastern redcedar Juniperus virginiana 0.052928 0.002853-0.31588 0.002207-0.10425 0.002145 90 spruce spp. Picea spp. 0.065755 0.002813-0.09992 0.002097 0.879371 0.001845 107 sand pine Pinus clausa 0.079225 0.00249-0.51486 0.002472 0.377006 0.002239 110 shortleaf pine Pinus echinata 0.066654 0.002168-0.70617 0.002215-0.68706 0.002211 111 slash pine Pinus elliottii 0.070229 0.002111 0.132056 0.002113-0.79788 0.002128-0.61123 0.002088 115 spruce pine Pinus glabra 0.081287 0.002219 0.248714 0.002143 0.118241 0.002168 121 longleaf pine Pinus palustris 0.058586 0.002429-0.94422 0.002265-0.44319 0.002165 123 Table Mountain pine Pinus pungens 0.081287 0.002219-0.01355 0.002453 0.870587 0.002205 126 pitch pine Pinus rigida 0.081287 0.002219-0.47066 0.002194-0.37967 0.002171 128 pond pine Pinus serotina 0.047587 0.002354-0.63294 0.002177-0.2796 0.002093 129 eastern white pine Pinus strobus 0.074791 0.002881-0.04096 0.002011 0.604023 0.001857 131 loblolly pine Pinus taeda 0.060342 0.002197 0.150292 0.001994-0.81968 0.00214-0.65832 0.002107 132 Virginia pine Pinus virginiana 0.034943 0.002569-0.28496 0.002264 0.333364 0.002118 221 baldcypress Taxodium distichum 0.094132 0.002743 0.241431 0.002047 1.757944 0.001752 222 pondcypress Taxodium ascendens 0.101432 0.002744-0.29611 0.002037 1.044195 0.001712 241 northern white-cedar Thuja occidentalis 0.065755 0.002813-0.09992 0.002097 0.879371 0.001845 260 hemlock spp. Tsuga spp. 0.065755 0.002813-0.25918 0.001808-0.21608 0.001798 311 Florida maple Acer barbatum 0.058647 0.002378-0.34784 0.001837-0.20228 0.001818 313 boxelder Acer negundo 0.054564 0.002565-0.45195 0.001921 0.518892 0.001802 316 red maple Acer rubrum 0.023326 0.00286-0.10402 0.00185 0.680247 0.001742 317 silver maple Acer saccharinum 0.054564 0.002565-0.45195 0.001921 0.518892 0.001802 318 sugar maple Acer saccharum 0.058647 0.002378-0.05283 0.001891 0.352087 0.001838 330 buckeye, horsechestnut spp. Aesculus spp. 0.054564 0.002565-0.43976 0.00194 0.218924 0.001833 370 birch spp. Betula spp. 0.058647 0.002378 0.371605 0.001773 0.543581 0.001751 3

Species ID Common Name Genus Species A1 A2 B1 B2 C1 C2 D1 D2 371 yellow birch Betula alleghaniensi s 0.058647 0.002378 0.998628 0.001765 0.169526 0.001893 400 hickory spp. Carya spp. 0.04762 0.002192-0.66593 0.001868-0.79318 0.001884 460 hackberry spp. Celtis spp. 0.054564 0.002565-0.19368 0.00177 0.500522 0.00167 491 flowering dogwood Cornus florida 0.037005 0.002729-0.34784 0.001837-0.20228 0.001818 521 common persimmon Diospyros virginiana 0.034641 0.002546-0.40294 0.001931-1.17304 0.002028 531 American beech Fagus grandifolia 0.058647 0.002378-0.399 0.002026 1.468854 0.001765 540 ash spp. Fraxinus spp. 0.064004 0.00241-0.39282 0.001921 0.172701 0.001851 552 honeylocust Gleditsia triacanthos 0.058647 0.002378-0.34784 0.001837-0.20228 0.001818 555 loblolly-bay Gordonia lasianthus 0.012745 0.003005-0.19841 0.001901 0.735415 0.001775 580 silverbell spp. Halesia spp. 0.054564 0.002565-0.45195 0.001921 0.518892 0.001802 591 American holly Ilex opaca 0.058647 0.002378-0.17256 0.002151 0.762909 0.001965 601 butternut Juglans cinerea 0.054564 0.002565-0.45195 0.001921 0.518892 0.001802 602 black walnut Juglans nigra 0.058647 0.002378-0.03381 0.001656 0.42189 0.001596 611 sweetgum Liquidambar styraciflua 0.045146 0.002357-0.93612 0.001991-0.62917 0.001955 621 yellow-poplar Liriodendron tulipifera 0.019361 0.002514-0.55318 0.001922 0.485232 0.001807 651 cucumbertree Magnolia acuminata 0.051279 0.002641-0.19841 0.001901 0.735415 0.001775 652 southern magnolia Magnolia grandiflora 0.051279 0.002641-0.19841 0.001901 0.735415 0.001775 653 sweetbay Magnolia virginiana 0.057904 0.002603-0.19841 0.001901 0.735415 0.001775 680 mulberry spp. Morus spp. 0.058647 0.002378-0.34784 0.001837-0.20228 0.001818 691 water tupelo Nyssa aquatica 0.062785 0.002458-0.26711 0.001904 1.749738 0.001659 693 blackgum Nyssa sylvatica 0.048582 0.002498-0.22515 0.001902 0.69073 0.001767 694 swamp tupelo Nyssa biflora 0.088427 0.002681-0.46695 0.001972 1.284413 0.00176 731 American sycamore Platanus occidentalis 0.054564 0.002565 0.229691 0.001901 2.326908 0.001649 740 cottonwood and poplar spp. Populus spp. 0.054564 0.002565-0.45195 0.001921 0.518892 0.001802 741 balsam poplar Populus balsamifera 0.054564 0.002565-0.45195 0.001921 0.518892 0.001802 762 black cherry Prunus serotina 0.155471 0.002461-0.5472 0.001948-0.60733 0.001957 802 white oak Quercus alba 0.044339 0.002539-0.37698 0.001948 0.148434 0.00188 804 swamp white oak Quercus bicolor 0.041238 0.002603-0.27904 0.001894 0.248363 0.001823 806 scarlet oak Quercus coccinea 0.067831 0.00266-0.22563 0.001917 0.003343 0.001887 808 Durand oak Quercus sinuata 0.080702 0.002467-0.31658 0.001817-0.08543 0.001783 812 southern red oak Quercus falcata 0.080702 0.002467-0.31658 0.001817-0.08543 0.001783 813 cherrybark oak Quercus pagoda 0.041238 0.002603 0.046929 0.00195 1.212451 0.001791 4

Species ID Common Name Genus Species A1 A2 B1 B2 C1 C2 D1 D2 817 shingle oak Quercus imbricaria 0.041238 0.002603-0.27904 0.001894 0.248363 0.001823 820 laurel oak Quercus laurifolia 0.024511 0.002637-0.35114 0.002014 0.846919 0.00184 822 overcup oak Quercus lyrata 0.041238 0.002603-0.27904 0.001894 0.248363 0.001823 823 bur oak Quercus macrocarpa 0.041238 0.002603-0.27904 0.001894 0.248363 0.001823 824 blackjack oak Quercus marilandica 0.053215 0.002475-0.18395 0.001841-0.03532 0.001807 825 swamp chestnut oak Quercus michauxii 0.041238 0.002603 0.343571 0.001822 0.376354 0.001818 826 chinkapin oak Quercus muehlenberg ii 0.041238 0.002603-0.27904 0.001894 0.248363 0.001823 827 water oak Quercus nigra 0.030987 0.00267-0.26569 0.001986 1.195722 0.001795 830 pin oak Quercus palustris 0.041238 0.002603-0.27904 0.001894 0.248363 0.001823 831 willow oak Quercus phellos 0.041238 0.002603-0.38348 0.001893-0.46076 0.001904 832 chestnut oak Quercus prinus 0.014284 0.002521-0.37798 0.001859-0.06995 0.001818 833 northern red oak Quercus rubra 0.041238 0.002603-0.09581 0.001889 0.793996 0.001779 834 Shumard oak Quercus shumardii 0.041238 0.002603-0.27904 0.001894 0.248363 0.001823 835 post oak Quercus stellata 0.051922 0.002631-0.36146 0.001892 0.301286 0.001791 836 Delta post oak Quercus similis 0.053215 0.002475-0.18395 0.001841-0.03532 0.001807 837 black oak Quercus velutina 0.042519 0.002613-0.51313 0.001775-0.51537 0.001775 838 live oak Quercus virginiana 0.05082 0.002776 0.459129 0.00156 0.344387 0.00158 840 dwarf post oak Quercus margarettiae 0.053215 0.002475-0.18395 0.001841-0.03532 0.001807 842 bluejack oak Quercus incana 0.053215 0.002475-0.18395 0.001841-0.03532 0.001807 901 black locust Robinia pseudoacaci a 0.058647 0.002378-0.20621 0.001592 0.603856 0.001483 920 willow spp. Salix spp. 0.054564 0.002565-0.45195 0.001921 0.518892 0.001802 950 basswood spp. Tilia spp. 0.054564 0.002565 0.198966 0.00186 0.0344 0.001882 970 elm spp. Ulmus spp. 0.032199 0.002589-0.15507 0.001828-0.31601 0.001851 999 Other or unknown live tree Tree unknown 0.062125 0.002494-0.37883 0.001855 0.82352 0.00163 5

References McClure, J. and Cost, N. Unpublished equations developed by Joe McClure and Noel Cost. REF_VOLCFGRS_VW data base. Acquired from: Glenn Christensen, Resource Monitoring and Assessment/Forest Inventory and Analysis, USDA Forest Service, PNW Research Station, Portland Forest Sciences Laboratory. April 2010. 6