23 4 Vol. 23 No. 4 2010 8 World Forestry Research Aug12010 3 (, 100091) :, :,,,,, : S75815 : A : 1001-4241 (2010) 04-0030 - 06 Sta tus and Prospects of S ingle - Tree B ioma ssm odeling Abroad Zeng W eisheng Tang Shouzheng (Research Institute of Forest Resources Information Techniques, Chinese Academy of Forestry, Beijing 100091, China) Abstract: The forest ecosystem is the largest terrestrial carbon pool which p lays an irrep laceable role in m itigating the global clim ate warm ing. Estimation of forest biomass can p rovide a basis for assessing the contribution of forest ecosystem to global carbon cycle. The status of single - tree biomass modeling abroad was reviewed in this paper. The key technical aspects on single - tree biom ass modeling, including samp le data collection, modeling p rocedure, model evaluation, and model app lication, were summ arized systematically. In addition, considering the needs of conducting national forest biom ass monitoring, the general single - tree biomass modeling was suggested to be the study emphases. Key words: single - tree biom ass, forest biomass, allometric equation, modeling p rocedure, model evaluation, p rediction error, [ 1-5 ] : ; [ 6 ], [ 6 ], 1 [ 7 ] 19 1876 Ebermayer,, 50 20, Jensen Burger Harper, 20 50 50 3 : 2010-03 - 01 : : (1966 - ),,,,, E - mail: zengweisheng@ so2 hu1com
4, : 31, 1964 1974 ( IUFRO) [ 8-10 ], [ 11 ], 20 90, 1997 Ter - M ikaelian 65, M = ad b 803 [ 12 ] 1999 2001 Parresol [ 13-14 ] 2001 B i 2, [ 7 ] 2002, Bond - Lamberty 6 [ 15 ], Han2 sen F IA, F IA [ 16 ] 2003 Jenkins 300 ( 100 ), ( 10 ) [ 17 ] 2004, B i 15 [ 18 ] Zianis 3 [ 19 ] 2005 Zianis, 39 607 [ 20 ] 2006, Zianis [ 21 ] Snorrason 11, [ 22 ] Vallet 7 ( ), [ 23 ] 2007, Repola 3 [ 24 ] Muukkonen, [ 25 ] 2008, Case Hall 10,, [ 26 ] Fehrmann NF I, k - ( k - NN) [ 27 ] 2009, Basuki 4 [ 28 ] N var 10, [ 29 ] 2 211 21111, ( ) 2 300, 100 [ 30 ] Ter - M ikaelian 65 803 [ 12 ], Zi2 anis 39 607 [ 20 ],,,, [ 15, 17, 22-25, 29 ], [ 16, 28, 31-35 ] 21112, Ter - M ikaelian 803 734, 4 ; 50 19% ; 30 51% [ 12 ] Zianis 607 1 503, 3 ; 435, 50 27% ; 30 58% [ 20 ], ( 50 ),,
32 23 [ 12, 24, 29 ], 1, 30 100 ;, 30 [ 36 ], [ 22, 36-38 ] 21113 [ 13, 14, 37, 39 ],, [ 13 ] 3 ( 2 4 ), 3,, [ 7, 24, 38, 40-42 ],, [ 7, 13, 15, 22, 27, 33, 37-38, 40-45 ] Samalca [ 38 ], Peichl 1 /10, 2 cm [ 42 ], Bond - Lamberty 6 5 mm, 011 513 cm [ 15 ] Saint - Andr, ( ) ( 10 mm ) (5 10 mm ) ( 5 mm ) [ 40 ] Peichl, ( 20 mm) ( 5 20 mm ) ( 2 5 mm ), 2 mm, 1 3 [ 42 ],,,, 55 105 55 [ 33 ] 60 [ 45 ], 65 [ 13, 40-42 ], 70 [ 7 ], 75 [ 41 ], 80 [ 22 ], 85 [ 37 ] 105 [ 38 ], (103 2) (70 2) [ 44 ], 212,,,,,, 21211 3 [ 13-14 ] : : y = 0 + 1 x 1 + + j x j + (1) : y = 0 x 1 j 1 x j + (2) : y = 0 x 1 1 x j j (3), y, x j, j, (2) (3), (2), (3) D D 2 H D 2 H ;, [ 12, 20, 24, 35, 46 ] D, M = ad b, M [ 12, 17, 25-26, 29, 47 ],,, M D 8 /3, b = 8 /3 [ 48-49 ], [ 19, 21, 30, 50 ] 2 : ;, [ 7, 13, 14, 18, 35, 46 ] 21212 ( 1), (2) (3), (3) : lny = ln 0 + 1 lnx 1 + + j lnx j + ln (4), (4) ( lny), (1) (2),,,,,
4, : 33 [ 7, 13-14 ], ;,, [ 7, 13-14, 35 ] 213 Parresol 7 : (R 2 ) ( SEE) (CV ) Furnival (MPSE) ( PE), [ 13 ] Zianis [ 19 ] Zabek BC SEE, (MB ) (MAB ) [ 44 ] Harmel (MAE) (RMSE), (CE) ( IA) [ 51 ] Case, [ 26 ], A IC B IC [ 52 ], 214,,,,,, 3 [ 13, 38 ] : : [ 13 ] ( ) 0, 0,, [ 38 ], [ 13, 38 ], 3415%, 6515% [ 38 ] 3,,, ;, ;, ;,, 4, [ 53-55 ],, [ 16-17, 22-26, 29-30 ] 1964 1974,,,, 1),,,,,,
34 23 2),,, ;,,,, ( ) 3),,, 4) ;,,,,,,, [ 1 ] Fang J Y,W ang Z M1 Forest biomass estimation at regional and global levels, with special reference to Chinaπs forest biomass [ J ]1 Ecological Research, 2001, 16 (3) : 587-5921 [ 2 ]Cronan C S1 Belowground biomass, p roduction, and carbon cycling in mature Norway sp ruce, Maine, U1S1A1[ J ]1 Can J For Res, 2003, 33 (2) : 339-3501 [ 3 ]Houghton R A1 Aboveground forest biomass and the global carbon bal2 ance [ J ]1Global Change B iology, 2005, 11: 945-9581 [ 4 ]Muukkonen P1 Forest inventory - based large - scale forest biomass and carbon budget assessment: new enhanced methods and use of re2 mote sensing for verification[ R ]1 Finland: Department of Geography, University of Helsinki, 20061 [ 5 ]Woodbury P B, Sm ith J E, Heath L S1 Carbon sequestration in the U1S1 forest sector from 1990 to 2010 [ J ] 1 Forest Ecology and Man2 agement, 2007, 241 (1 /3) : 14-271 [ 6 ] Somogyi Z, Cienciala E, MgkipggR, et al1 Indirect methods of large - scale forest biomass estimation [ J ] 1 Eur J Forest Res, 2007, 126 (2) : 197-2071 [ 7 ]B i H, B irk E, Turner J, et al1 Converting stem volume to biomasswith additivity, bias corrections and confidence bands for two Australian tree species [ J ] 1 New Zealand Journal of Forestry Science, 2001, 31 (3) : 298-3191 [ 8 ],, 1 [M ]. :, 19991 [ 9 ],, 1 [ J ] 1, 2003, 22 (3) : 57-601 [ 10 ], 1 [ J ] 1, 2004, 24 (3) : 283-2881 [ 11 ] IUFRO1 International guidelines for forest monitoring [ S ] 1V ienna: IUFRO World Series: Vol1 5, 19941 [ 12 ] Ter - M ikaelian M T, Korzukhin M D1 B iomass equations for sixty - five North American tree species [ J ] 1 Forest Ecology and Manage2 ment, 1997, 97 (1) : 1-241 [ 13 ] Parresol B R1 A ssessing tree and stand biomass: a review with exam2 ples and, critica1 comparisons [ J ] 1 Forest Science, 1999, 45 ( 4) : 573-5931 [ 14 ] Parresol B R1 Additivity of nonlinear biomass equations [ J ] 1 Can J For Res, 2001, 31 (5) : 865-8781 [ 15 ]Bond - Lamberty B, W ang B C, Gower S T1 Above - ground and belowground biomass and sapwood area allometric equations for six boreal tree species of northern Manitoba[ J ]1Can J For Res, 2002, 32 (8) : 1441-14501 [ 16 ]Hansen M1 Volume and biomass estimation in FIA: national consis2 tency vs1 regional accuracy: GTR NC - 230 [ R ]1 North Central Re2 search Station, Forest Service USDA, 2002: 109-1201 [ 17 ]Jenkins J C, Chojnacky D C, Heath L S, et al1 National - scale bio2 mass estimators forunited States tree species [ J ]1 For Sci, 2003, 49 (1) : 12-351 [ 18 ]B i H, Turner J, LambertM J1 Additive biomass equations for native eucalypt forest trees of temperate [ J ] 1Australia Trees, 2004, 18 ( 4) : 467-4791 [ 19 ] Zianis D, MencucciniM1 On simp lifying allometric analyses of forest biomass [ J ] 1 Forest Ecology and Management, 2004, 187 ( 2 /3 ) : 311-3321 [ 20 ] Zianis D, Muukkonen P, MgkipggR, et al1 B iomass and stem vol2 ume equations for tree species in Europe [ J ] 1Silva Fennica (Mono2 graphs 4), 20051 [ 21 ] Zianis D, Radoglou K1 Comparison between empirical and theoretical biomass allometric models and statistical imp lications for stem volume p redictions [ J ]1 Forestry, 2006, 79 (4) : 477-4871 [ 22 ] Snorrason A, Einarsson S F1 Single - tree biomass and stem volume functions for eleven tree species used in Icelandic forestry[ J ]. Icelan2 dic Agric Sci, 2006, 19: 15-241 [ 23 ]Vallet P, Dhgte J - F, Le Mogu dec G, et al1 Development of total aboveground volume equations for seven important forest tree species in
4, : 35 France[J ]1Forest Ecology and Management, 2006, 229 (1 /3) : 98-1101 [ 24 ]Repola J, O jansuu R, Kukkola M1 B iomass functions for Scots pine, Norway spruce and birch in Finland: working papers of the Finnish Forest Research Institute 53 [ R /OL ]1 (2007) 1 [ 2010-01 - 02 ]. ht2 tp: / /www1metla1fi/ julkaisut/ working papers/2007 /mwp0531htm1 [ 25 ]Muukkonen P1Generalized allometric volume and biomass equations for some tree species in Europe [ J ] 1 Eur J Forest Res, 2007, 126 (2) : 157-1661 [ 26 ]Case B, Hall R J1 A ssessing prediction errors of generalized tree bio2 mass and volume equations for the boreal forest region of west - cen2 tral Canada [ J ]1 Can J For Res, 2008, 38 (4) : 878-8891 [ 27 ] Fehrmann L, Lehtonen A, Kleinn C, et al1 Comparison of linear and mixed - effect regression models and a k - nearest neighbor approach for estimation of single - tree biomass[j ]1Can J For Res, 2008, 38: 1-91 [ 28 ]Basuki T M, Laake P E, Skidmore A K, et al1 A llometric equations for estimating the above - ground biomass in trop ical lowland D ip tero2 carp forests [ J ] 1Forest Ecology and Management, 2009, 257 ( 8 ) : 1684-16941 [ 29 ]N var J1 A llometric equations for tree species and carbon stocks for forests of northwestern Mexico [ J ]1 Forest Ecology and Management, 2009, 257 (2) : 427-4341 [ 30 ]Chojnacky D C1 A llometric scaling theory app lied to F IA biomass es2 timation: GTR NC - 230 [ R ]1North Central Research Station, Forest Service USDA, 2002: 96-1021 [ 31 ] Yang X M, Cunia T1 Construction and application of biomass regres2 sions to size - classes of trees: PNW - GTR - 263 [ R ] 1 Pacific Northwest Research Station, Forest Service, USDA, 1990: 254-2591 [ 32 ] KetteringsQ M, Coe R, NoordwijkM V, et al1 Reducing uncertainty in the use of allometric biomass equations for predicting aboveground tree biomass in m ixed secondary forests[ J ]1Forest Ecology and Man2 agement, 2001, 146 (1 /3) : 199-2091 [ 33 ] Cairns M A, O lm sted I, Granados J, et al1 Composition and aboveground tree biomass of a dry sem i - evergreen forest on Mexicoπs Yucatan Peninsula [ J ] 1Forest Ecology and Management, 2003, 186 (1 /3) : 125-1321 [ 34 ] Kajimoto T, Matsuura Y, O sawa A, et al1 Size - mass allometry and biomass allocation of two larch species growing on the continuous per2 mafrost region in Siberia[ J ] 1Forest Ecology and Management, 2006, 222 (1 /3) : 314-3251 [ 35 ]Ant nio N, Tom M, Tom J, et al1 Effect of tree, stand, and site variables on the allometry of Eucalyptus globulus tree biomass [ J ]. Can J For Res, 2007, 37 (5) : 895-9061 [ 36 ]MacD icken K G1 A guide to monitoring carbon storage in forestry and agroforestry projects[ R ] 1 Forest Carbon Monitoring Program, W in2 rock Internationl Institute for Agricultural Development, 19971 [ 37 ] Forestry Research and Development Agency ( FORDA ), Japan Inter2 national Cooperation Agency (J ICA) 1 Manual of biomass survey and analysis[ R ]1 Indonesia: FORDA, 20051 [ 38 ] Samalca I K1 Estimation of forest biomass and its error: a case in Kali2 mantan, Indonesia [D ]1 Netherlands: International Institute for Geo - information Science and Earth Observation, 20071 [ 39 ] Hoover C M1 Field measurements for forest carbon monitoring: a landscape - scale app roach[m ]1 New York, USA: Springer, 20081 [ 40 ] Saint - Andr L, M Bou A T, Mabiala A, et al1 Age - related equations for above - and below - ground biomass of a Eucalyptus hybrid in Congo [J ]1Forest Ecology and Management, 2005, 205 (1 /3) : 199-2141 [ 41 ] Zhou X H, B randle J R, Schoeneberger M M, et al1 Develop ing a2 bove - ground woody biomass equations for open - grown, multip le - stemmed tree species: logical modeling, 2007, 202: 311-3231 shelterbelt - grown Russian - olive [ J ]. Eco2 [ 42 ] PeichlM, A rain M A1 A llometry and partitioning of above - and be2 lowground tree biomass in an age - sequence of white p ine forests [ J ]. Forest Ecology and Management, 2007, 253 (1 /3) : 68-801 [ 43 ] Segura M1 A llometric Models for tree volume and total aboveground biomass in a trop ical hum id forest in Costa R ica [ J ] 1 B iotrop ica, 2005, 37 (1) : 2-81 [ 44 ] Zabek L M, Prescott C E1 Biomass equations and carbon content of aboveground leafless biomass of hybrid poplar in CoastalBritish Columbia [J ]1Forest Ecology and Management, 2006, 223 (1 /3) : 291-3021 [ 45 ] Fatem i F R1 Aboveground biomass and nutrients in developing north2 ern hardwood stands in New Hampshire, USA [D ]1 New York, USA: College of Environmental Science and Forestry, New York, 20071 State University of [ 46 ]Carvalho J P, Parresol B R1 Additivity in tree biomass components of Pyrenean oak ( Quercus pyrenaica W illd1) [ J ] 1Forest Ecology and Management, 2003, 179 (1 /3) : 269-2761 [ 47 ] Zianis D1 Predicting mean aboveground forest biomass and its associ2 ated variance [ J ]1 Forest Ecology andmanagement, 2008, 256 (6) : 1400-14071 [ 48 ]W est G B, B rown J H, EnquistB J1 A generalmodel for the origin of allometric scaling laws in biology [ J ]1 Science, 1997, 276 (5309) : 122-1261 [ 49 ]W est G B, B rown J H, Enquist B J1 A general model for the struc2 ture and allometry of plant vascular system s [ J ] 1 Nature, 1999, 400: 664-6671 [ 50 ] Pilli R, Anfodillo T, Carrer M1 Towards a functional and simp lified allometry for estimating forest biomass[ J ] 1Forest Ecology and Man2 agement, 2006, 237 (1 /3) : 583-5931 [ 51 ]Harmel R D, Smith P K1 Consideration of measurement uncertainty in the evaluation of goodness - of - fit in hydrologic and water quality modeling[ J ]1Journal of Hydrology, 2007, 337 (3 /4), 326-3361 [ 52 ] W ebster R, O liver M A1 Geostatistics for environmental scientists [M ]1second edition1england: John W iley & Sons L td, 20071 [ 53 ] FAO1FRA - Philipp ines country report 2005 (D raft) : FAO working paper 96 [ R ]1Rome: Food and Agriculture O rganization of the United Nations, 20051 [ 54 ] FAO1 Global forest resources assessment 2005: p rogress towards sus2 tainable forest management: FAO forestry paper 147 [ R ] 1 Rome: Food and Agriculture O rganization of the United Nations, 20061 [ 55 ] Tomppo E, Gschwantner T, Lawrence M, et al1 National forest in2 ventories: pathways for common reporting [M ] 1 New York, USA: Sp ringer, 201017