Abstract
Climate change has increased the need of information on amount of forest biomass. The biomass and carbon storage for larch (Larix spp.) in large geographic regions in China were failed to be accurately estimated from current biomass equations, because they were usually based on a few sample trees on local sites, generally incompatible to volume estimation, and not additive between components and total biomass. China needs reliable biomass estimation of the important species in the whole country. This study was based on the mensuration data of above- and belowground biomass from 600 and 198 destructive sample trees of larch from four regions in China, respectively. The main purpose was to develop compatible individual tree equations on both national and regional levels for above- and belowground biomass, biomass conversion factor and root-to-shoot ratio, using the nonlinear error-in-variable simultaneous equation approach. In addition, diameter at breast height (D) and tree height (H) growth models were also developed, and effects of key climate variables on biomass variation and growth process were analyzed. The results showed that mean prediction errors (MPEs) of regional aboveground biomass models were from 3.86 to 7.52%, and total relative errors (TREs) are within ±3%; and for regional belowground biomass equations, the MPEs are from 9.91 to 28.85%, and the TREs are within ±4%. The above- and belowground biomass and D- and H-growth were significantly related to mean annual temperature and mean annual precipitation. The biomass equations and growth models developed in this paper will provide good basis for estimating and predicting biomass of larch forests in China.
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References
Affleck DLR, Diéguez-Aranda U (2016) Addtive nonlinear biomass equations: a likelihood-based approach. For Sci 62(2):129–140
Ashraf MI, Meng FR, Bourque CP-A, MacLean DA (2015) A novel modeling approach for predicting forest growth and yield under climate change. PLoS ONE 10(7):e0132066. doi:10.1371/journal.pone.0132066
Blujdea VNB, Pilli R, Dutca I, Abrudan IV (2012) Allometric biomass equations for young broadleaved trees in plantations in Romania. For Ecol Manag 264:172–184
Bond LB, Wang BC, Cower ST (2002) Aboveground and below-ground biomass and sapwood area allometric equations for six boreal tree species of northern Manitoba. Can J For Res 32:1441–1450
Borders BE (1989) Systems of equations in forest stand modeling. For Sci 35(2):548–556
Brown S (2002) Measuring carbon in forests: current status and future challenges. Environ Pollut 116:363–372
Case B, Hall RJ (2008) Assessing prediction errors of generalized tree biomass and volume equations for the boreal forest region of west-central Canada. Can J For Res 38:878–889
Clark J, Murphy G (2011) Estimating forest biomass components with hemispherical photography for Douglas-fir stands in northwest Oregon. Can J For Res 41:1060–1074
Condes S, Garcia-Robredo F (2012) An empirical mixed model to quantify climate influence on the growth of Pinus halepensis Mill. stands in south-eastern Spain. For Ecol Manag 284:59–68
Crecente-Campo F, Soares P, Tomé M, Diéguez-Aranda U (2010) Modelling annual individual-tree growth and mortality of Scots pine with data obtained at irregular measurement intervals and containing missing observations. For Ecol Manag 260:1965–1974
Dixon RK, Trexler MC, Wisniewski J, Brown S, Houghton RA, Solomon AM (1994) Carbon pools and flux of global forest ecosystems. Science 263:185–190
Dong LH, Zhang LJ, Li FR (2014) A compatible system of biomass equations for three conifer species in Northeast, China. For Ecol Manag 329:306–317
Fayolle A, Doucet JL, Gillet JF, Bourland N, Lejeune P (2013) Tree allometry in Central Africa: Testing the validity of pantropical multi-species allometric equations for estimating biomass and carbon stocks. For Ecol Manag 305:29–37
Fu LY, Lei YC, Wang GX, Bi HQ, Tang SZ, Song XY (2016) Comparison of seemingly unrelated regressions with error-in-variable models for developing a system of nonlinear additive biomass equations. Trees 30:839–857
Han YZ, Li YE, Liang SF, Li HY (1997) Study on individual tree biomass of Larix principis-rupprechtii plantations. J Shanxi Agric Univ 17(3):278–283
Henry M, Bombelli A, Trotta C et al (2013) GlobAllomeTree: international platform for tree allometric equations to support volume, biomass and carbon assessment. iForest (early view): e1–e5 [online 2013-07-18]. http://www.sisef.it/ iforest/contents/?id=ifor0901-006
IPCC (2006) IPCC guidelines for national greenhouse gas inventories–agriculture, forestry and other land use, vol 4. IGES, Hayama
Jenkins JC, Chojnacky DC, Heath LS, Birdsey RA (2003) National-scale biomass estimators for United States tree species. For Sci 49:12–35
Kozak A, Kozak R (2003) Does cross validation provide additional information in the evaluation of regression models? Can J For Res 33(6):976–987
Lambert MC, Ung CH, Raulier F (2005) Canadian national tree aboveground biomass equations. Can J For Res 35:1996–2018
Li HK, Lei YC (2010) Estimation and evaluation of forest biomass and carbon storage in China. Chinese Forestry Press, Beijing, p 60
Li HK, Zhao PX (2013) Improving the accuracy of tree-level aboveground biomass equation with height classification at a large regional scale. For Ecol Manag 289:153–163
Liu ZG, Ma QY, Pan XL (1994) A study on the biomass and productivity of the natural Larix gmelinii forests. Acta Phyioecol Sin 18(4):328–337
Luo YJ, Zhang XQ, Hou ZH, Yu PT, Zhu JH (2007) Biomass carbon accounting factors of Larix forests in China based on literature data. J Plant Ecol (Chinese version) 31(6):1111–1118
Meng SX, Huang S, Lieffers VJ et al (2008) Wind speed and crown class influence the height–diameter relationship of lodgepole pine: nonlinear mixed effects modeling. For Ecol Manag 256:570–577
Mugasha WA, Eid T, Bollandsas OM, Malimbwi RE, Chamshama SAO, Zahabu E, Katani JZ (2013) Allometric models for prediction of above- and belowground biomass of trees in the miombo woodlands of Tanzania. For Ecol Manag 310:87–101
Muukkonen P (2007) Generalized allometric volume and biomass equations for some tree species in Europe. Eur J For Res 126:157–166
Návar J (2009) Allometric equations for tree species and carbon stocks for forests of northwestern Mexico. For Ecol Manag 257:427–434
PajtÃk J, Konôpka B, Lukac M (2008) Biomass functions and expansion factors in young Norway spruce (Picea abies L. Karst) trees. For Ecol Manag 256:1096–1103
Parresol BR (1999) Assessing tree and stand biomass: a review with examples and critical comparisons. For Sci 45:573–593
Parresol BR (2001) Additivity of nonlinear biomass equations. Can J For Res 31:865–878
Picard RR, Cook RD (1984) Cross-validation of regression models. J Am Stat Assoc 79:575–583
Quint TC, Dech JP (2010) Allometric models for predicting the aboveground biomass of Canada yew (Taxus canadensis Marsh.) from visual and digital cover estimates. Can J For Res 40:2003–2014
Rutishauser E, Noor’an F, Laumonier Y, Halperin J, Rufi’ie, Hergoualc’h K, Verchot L (2013) Generic allometric models including height best estimate forest biomass and carbon stocks in Indonesia. For Ecol Manag 307:219–225
Schroeder P, Brown S, Mo J, Birdsey R, Cieszewski C (1997) Biomass estimation for temperate broadleaf forests of the United States using inventory data. For Sci 43:424–434
Scolforo JRS, Maestri R, Filho ACF, Mello JM, Oliveira AD, Assis AL (2013) Dominant height model for site classification of Eucalyptus grandis incorporating climatic variables. Int J For Res. ID: 139236. doi:10.1155/2013/139236
Sileshi GW (2014) A critical review of forest biomass estimation models, common mistakes and corrective measures. For Ecol Manag 3:237–254
Snorrason A, Einarsson SF (2006) Single-tree biomass and stem volume functions for eleven tree species used in Icelandic forestry. Icel Agric Sci 19:15–24
Somogyi Z, Cienciala E, Mäkipää R, Muukkonen P, Lehtonen A, Weiss P (2007) Indirect methods of large-scale forest biomass estimation. Eur J For Res 126:197–207
State Forestry Administration of China (2014) Report of Forest Resources in China (2009–2013). China Forestry Press, Beijing, p 86
State Forestry Administration of China (2015) Technical regulation on sample collections for tree biomass modeling. China Standard Press, Beijing, p 11
Stegen JC, Swenson NG, Enquist BJ, White EP, Phillips OL, Jorgensen PM, Weiser MD, Mendoza AM, Vargas PN (2011) Variation in above-ground forest biomass across broad climatic gradients. Glob Ecol Biogeogr 20(5):744–754
Tang SZ, Wang YH (2002) A parameter estimation program for the error-in-variable model. Ecol Model 156:225–236
Tang SZ, Li Y, Wang YH (2001) Simultaneous equations, error-in-variable models, and model integration in systems ecology. Ecol Model 142:285–294
Tang SZ, Lang KJ, Li HK (2008) Statistics and computation of biomathematical models. Science Press, Beijing, p 584
Ter-Mikaelian MT, Korzukhin MD (1997) Biomass equations for sixty-five north American tree species. For Ecol Manag 97:1–24
Vallet P, Dhôte JF, Le Moguédec G, Ravart M, Pignard G (2006) Development of total aboveground volume equations for seven important forest tree species in France. For Ecol Manag 229:98–110
Wang XP, Fang JY, Zhu BA (2008) Forest biomass and root–shoot allocation in northeast China. For Ecol Manag 255:4007–4020
Wang XP, Ouyang S, Sun JX, Fang JY (2013) Forest biomass patterns across northeast China are strongly shaped by forest height. For Ecol Manag 293:149–160
West GB, Brown JH, Enquist BJ (1997) A general model for the origin of allometric scaling laws in biology. Science 276(5309):122–126
West GB, Brown JH, Enquist BJ (1999) A general model for the structure and allometry of plant vascular systems. Nature 400:664–667
Zang H, Lei XD, Ma W, Zeng WS (2016) Spatial heterogeneity of climate change effects on dominant height of larch plantations in northern and northeastern China. Forests 7:151. doi:10.3390/f7070151
Zeng WS (2014a) Establishment of compatible tree volume equation systems of Chinese fir. For Res 27:6–10
Zeng WS (2014b) Development of monitoring and assessment of forest biomass and carbon storage in China. For Ecosyst 1:20. doi:10.1186/s40663-014-0020-5
Zeng WS (2015a) Using nonlinear mixed model and dummy variable model approaches to construct origin-based single tree biomass equations. Trees-Struct Funct 29(1):275–283. doi:10.1007/s00468-014-1112-0
Zeng WS (2015b) Integrated individual tree biomass simultaneous equations for two larch species in northeastern and northern China. Scand J For Res 30(7):594–604. doi:10.1080/02827581.2015.1046481
Zeng WS, Tang SZ (2011a) Establishment of below-ground biomass equations for larch in northeastern and Masson pine in southern China. J Beijing For Univ 33:1–6
Zeng WS, Tang SZ (2011b) Goodness evaluation and precision analysis of tree biomass equations. Scientia Silvae Sinicae 47(11):106–113
Zeng WS, Tang SZ (2011c) A new general allometric biomass model. Nat Preced. doi:10.1038/npre.2011.6704.2
Zeng WS, Tang SZ (2011d) Bias correction in logarithmic regression and comparison with weighted regression for non-linear models. Nat Preced. doi:10.1038/npre.2011.6708.1
Zeng WS, Tang SZ (2012) Modeling compatible single-tree aboveground biomass equations of Masson pine (Pinus massoniana) in southern China. J For Res 23:593–598
Zeng WS, Zhang HR, Tang SZ (2011) Using the dummy variable model approach to construct compatible single-tree biomass equations at different scales – a case study for Masson pine (Pinus massoniana) in southern China. Can J For Res 41:1547–1554
Zeng M, Nie XY, Zeng WS (2013) Compatible tree volume and aboveground biomass equations of Chinese fir in China. Scientia Silvae Sinicae 49:74–79
Zhao TS, Guang ZY, Zhao YM, Liu GW (1999) Study on biomass and productivity of Larix kaempferi plantation. Acta Agriculturae Universitalis Henanensis 33(4):350–353
Zianis D, Mencuccini M (2004) On simplify allometric analyses of forest biomass. For Ecol Manag 187:311–332
Zianis D, Muukkonen P, Mäkipää R, Mencuccini M (2005) Biomass and stem volume equations for tree species in Europe. Silva Fennica (Monographs 4). Tammer-Paino Oy, Tampere, Finland, p 63
Acknowledgements
This paper was financially supported by the Natural Science Foundation of China under (Grant No. 31270697 and 31370634). The authors acknowledge the National Biomass Modeling Program in Continuous Forest Inventory (NBMP-CFI), which was funded by the State Forestry Administration of China, for providing mensuration biomass data of larch. The authors also thank the Forestry Departments of related provinces for their efforts in sample collection and appreciate the reviewers and editors for providing valuable comments and constructive suggestions.
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Communicated by Aaron R Weiskittel.
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Zeng, W., Duo, H., Lei, X. et al. Individual tree biomass equations and growth models sensitive to climate variables for Larix spp. in China. Eur J Forest Res 136, 233–249 (2017). https://doi.org/10.1007/s10342-017-1024-9
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DOI: https://doi.org/10.1007/s10342-017-1024-9