Abstract
Key message
A climate-sensitive aboveground biomass model developed by combining a nonlinear mixed-effects model and dummy variable approach led to higher prediction accuracy of biomass than those without climatic variables for three larch species.
Abstract
As native species and being widely distributed in northeastern and northern China, larch forests play a pivotal role in maintaining forest ecosystem functions and mitigation of carbon concentration at the atmosphere. However, the spatial sensitivity of growing and aboveground biomass (AGB) of larch species to climate change is not known. In this study, a climate-sensitive AGB model was developed by combining nonlinear mixed-effects modeling and a dummy variable approach to account for the spatial sensitivity of AGB of three larch species including Dahurian larch (Larix gmelinii (Rupr.) Kuzen.), Korean larch (Larix olgensis Henry.) and Prince Rupprecht larch (Larix principis rupprechtii Mayr.) to climate change in northeastern and northern China. We examined the AGB values of 256 larch trees growing in five secondary climate zones: mid-temperature humid climatic zone, mid-temperature sub-humid climatic zone, mid-temperature semi-arid climatic zone, cool temperature humid climatic zone and warm temperature sub-humid climatic zone in northeastern and northern China. The results showed that the long-term averages of growing season temperature and total growing season precipitation, and the mean temperature and precipitation of wettest quarter, had significant (α = 0.05) effects on AGB. The prediction accuracy of the developed model was much higher than that of the model at the population average level and its base model. Excessive rain and high mean temperature during the growing season increased the AGB values of larch trees, while abundant precipitation and high mean temperature in the wettest quarter led to the decrease of AGB. The AGB of the larch species from the mid-temperature semi-arid climatic zone had the greatest values, which indicated that climate conditions were more favorable in this zone than in the other four secondary climate zones. It is expected that the findings from this study can be combined with the knowledge of adaptive management to reduce the risks and uncertainties associated with forest management decisions.
Similar content being viewed by others
References
Abaimov AP, Zyryanova OA, Prokushkin SG, Koike T, Matsuura Y (2000) Forest ecosystems of the cryolityhic zone of Siberia; regional features, mechanisms of stability and pyrogenic changes. Eurasian J For Res 1:1–10
Basuki TM, van Laake PE, Skidmore AK, Hussin YA (2009) Allometric equa-tions for estimating the above-ground biomass in tropical lowland Dipterocarp forests. For Ecol Manage 257:1684–1694
Battles JJ, Robards T, Das A, Waring K, Gilless JK, Biging G, Schurr F (2008) Climate change impacts on forest growth and tree mortality: a data-driven modeling study in the mixed-conifer forest of the Sierra Nevada, California. Clim Change 87:193–213
Bi H, Turner J, Lambert MJ (2004) Additive biomass equations for native eucalypt forest trees of temperate Australia. Trees 18:467–479
Blasing TJ (2016) Recent greenhouse gas concentrations. US Department of Energy, Office of Science, Washington, DC. doi:10.3334/CDIAC/atg.032
Boisvenue C, Running SW (2006) Impacts of climate change on natural forest productivity: evidence since the middle of the 20th century. Global Change Biol 12:862–882
Boisvert-Marsh L, Périé C, de Blois S (2014) Shifting with climate? Evidence for recent changes in tree species distribution at high latitudes. Ecosphere 5(7):1–33
Borders BE, Bailey RL, Ware KD (1984) Slash pine site index from a polymorphic model by joining (splining) nonpolynomial segments with an algebraic difference method. For Sci 30:411–423
Bragg DC (2001) A local basal area adjustment for crown width prediction. North J Appl For 18(1):22–28
Calama R, Montero G (2004) Interregional nonlinear height-diameter model with random coefficients for stone pine in Spain. Can J For Res 34:150–163
Chen Y, Song X, Zhang Z, Shi P, Tao F (2015) Simulating the impact of flooding events on non-point source pollution and the effects of filter strips in an intensive agricultural watershed in China. Limnology. 16(2):91–101
Daniels LD, Veblen TT (2004) Spatiotemporal influences of climate on altitudinal tree line in northern Patagonia. Ecology 85:1284–1296
Davidian M, Giltinan DM (1995) Nonlinear models for repeated measurement data. Chapman and Hall, New York
Dong L, Zhang L, Li F (2015a) A three-step proportional weighting system of nonlinear biomass equations. For Sci 61(1):35–45
Dong L, Zhang L, Li F (2015b) Developing additive systems of biomass equations for nine hardwood species in Northeast China. Trees 29:1149–1163
Dong L, Zhang L, Li F (2016) Developing two additive biomass equations for three coniferous plantation species in northeast china. Forests. doi:10.3390/f7070136
Fang Z, Bailey RL (2001) Nonlinear mixed-effect modeling for slash pine dominant height growth following intensive silvicultural treatments. For Sci 47:287–300
Fang J, Wang G, Liu G, Xu S (1998) Forest biomass of China: an estimate based on the biomass-volume relationship. Ecol Appl 8:1084–1091
Fehrmann L, Lehtonen A, Kleinn C, Tomppo R (2008) Comparison of linear and mixed-effect regression models and a k–nearest neighbor approach for estimation of single-tree biomass. Can J For Res 38:1–9
Fu LY, Zeng WS, Tang SZ, Sharma RP, Li HK (2012) Using linear mixed model and dummy variable model approaches to construct compatible single-tree biomass equations at different scales—a case study for Masson Pine in Southern China. J For Sci 58(3):101–115
Fu L, Sun H, Sharma RP, Lei Y, Zhang H, Tang S (2013) Nonlinear mixed-effects crown width models for individual trees of Chinese fir (Cunninghamia lanceolata) in south-central China. For Ecol Manage 302:210–220
Fu L, Wang M, Lei Y, Tang S (2014a) Parameter estimation of two-level nonlinear mixed effects models using first order conditional linearization and the EM algorithm. Comput Stat Data An 69:173–183
Fu L, Zeng W, Zhang H, Wang G, Lei Y, Tang S (2014b) Generic linear mixed-effects individual-tree biomass models for Pinus massoniana Lamb, Southern China. South Forests 76(1):47–56
Fu L, Zhang H, Lu J, Zang H, Lou M, Wang G (2015) Multilevel nonlinear mixed-effect crown ratio models for individual trees of mongolian oak (Quercus mongolica) in Northeast China. PLoS One 10(8):e0133294. doi:10.1371/journal.pone.0133294
Fu L, Lei Y, Wang G, Bi H, Tang S, Song X (2016) Comparison of seemingly unrelated regressions with multivariate errors-in-variables models for developing a system of nonlinear additive biomass equations. Trees 30:839–857
Fu L, Zhang H, Sharma RP, Pang L, Wang G (2017) A generalized nonlinear mixed-effects height to crown base model for Mongolian oak in northeast China. For Ecol Manage 384:34–43
Hamann A, Wang T (2006) Potential effects of climate change on ecosystem and tree species distribution in British Columbia. Ecology 87:2773–2786
Hijmans RJ, Cameron SE, Parra JL, Jones PG, Jarvis A (2005) Very high resolution interpolated climate surfaces for global land areas. Int J of Climatol 25:1965–1978
Iverson LR, Prasad AM (1998) Predicting abundance of 80 tree species following climate change in the eastern United States. Ecol Monogr 68:465–485
Jenkins JC, Chojnacky DC, Heath LS, Birdsey RA (2003) National-scale biomass estimators for United States tree species. For Sci 49(1):12–35
Jiang H, Radtke PJ, Weiskittel AR, Coulston JW, Guertin PJ (2015) Climate- and soil-based models of site productivity in eastern US tree species. Can J For Res 45:325–342
Kiernan DH, Bevilacqua E, Nyland RD (2008) Individual-tree diameter growthmodel for sugar maple trees in uneven-aged northern hardwood stands under selection system. For Ecol Manage 256:1579–1586
Knutti R (2008) Should we believe model predictions of future climate change? Phil. Trans. R. Soc. 366:4647–4664
Lei X, Yu L, Hong L (2016) Climate-sensitive integrated stand growth model (CS-ISGM) of Changbai larch (Larix olgensis) plantations. For Ecol Manage 376:265–275
Leng W, He HS, Bu R, Dai L, Hu Y, Wang X (2008) Predicting the distributions of suitable habitat for three larch species under climate warming in Northeastern China. For Ecol Manage 254:420–428
Li Y, Sun W, Zhu H, Zhao X, Bai Y, Zhang Y (2015) Multi-time scale analysis on the variations of temperature and precipitation of main urban in Northeast of China. Sci Tech Eng 15(9):23–31
Lindstrom MJ, Bates DM (1990) Nonlinear mixed effects models for repeated measures data. Biometrics 46:673–687
Liu Z, Cheng R, Xiao W, Guo Q, Wang N (2014) Effect of off-season flooding on growth, photosynthesis, carbohydrate partitioning, and nutrient uptake in distylium chinense. PLoS One 9(9):e107636. doi:10.1371/journal.pone.0107636
McDowell NG, Beerling DJ, Breshears DD, Fisher RA, Raffa KF, Stitt M (2011) The interdependence of mechanisms underlying climate-driven vegetation mortality. Trends Ecol Evol 26:523–532
Medlyn BE, Duursma RA, Zeppel MJB (2011) Forest productivity under climate change: a checklist for evaluating model studies. Wiley Interdiscip Rev Clim Change 2:332–335
Meng SX, Huang S (2009) Improved calibration of nonlinear mixed-effects models demonstrated on a height growth function. For Sci 55(3):239–248
Monleon VJ, Lintz HE (2015) Evidence of tree species’ range shifts in a complex landscape. PLoS One 10(1):e0118069. doi:10.1371/journal.pone.0118069
Muukkonen P (2007) Generalized allometric volume and biomass equations for some tree species in Europe. Eur J Forest Res 126:157–166
Návar J (2009) Biomass component equations for Latin American species and groups of species. Ann Forest Sci 66(2):208
Nemani RR, Keeling CD, Hashimoto H, Jolly WM, Piper SC, Tucker CJ, Myneni RB, Running SW (2003) Climate-driven increases in global terrestrial net primary production from 1982–1999. Science 300:1560–1564
Nord-Larsen T, Meilby H, Skovsgaard JP (2009) Site-specific height growth models for six common tree species in Denmark. Scand J For Res 24:194–204
Parde J (1980) Forest biomass. For Abstr 41(8):336–343
Parresol BR (1999) Assessing tree and stand biomass: a review with examples and critical comparisons. For Sci 45(4):573–593
Parresol BR (2001) Additivity of nonlinear biomass equations. Can J For Res 31:865–878
Peterson DW, Peterson DL (2001) Mountain hemlock growth responds to climatic variability at annual and decadal time scales. Ecology 82:3330–3345
Pinheiro JC, Bates DM (2000) Mixed-effects models in S and S-PLUS. Springer-Verlag, New York
R Development Core Team (2011) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Australia. Available at: http://www.r-project.org. Accessed 4 Sept 2011
Rijal B, Weiskittel AR, Kershaw JA (2012) Development of height to crown base models for thirteen tree species of the North American Acadian Region. For Chron 88(1):60–73
Ruiz-Peinado R, Montero G, Del Rio M (2012) Biomass models to estimate carbon stocks for hardwood tree species. Forest Syst 21:42–52
Saatchi SS, Houghton RA, Dos Santos Alvalá RC, Soares JV, Yu Y (2007) Distribution of aboveground live biomass in the Amazon basin. Global Change Biol 13:816–837
Saeed IAM, Rouse DI, Harkin JM, Smith KP (1997) Effects of soil water content and soil temperature on efficacy of metham-sodium against Verticillium dahliae. Plant Dis 81:773–776
SFA (State Forestry Administration of China) (2007) China’s forestry 1999–2005. China Forestry Publishing House, Beijing (In Chinese)
SFA (State Forestry Administration of China) (2015) Technical regulation on sample collections for tree biomass modeling. China Standard Press, Beijing, China. 11 p. (in Chinese)
Sharma RP, Breidenbach J (2015) Modeling height-diameter relationships for Norway spruce, Scots pine, and downy birch using Norwegian national forest inventory data. For Sci Tech 11(1):44–53
Sharma RP, Vacek Z, Vacek S (2016) Individual tree crown width models for Norway spruce and European beech in Czech Republic. For Ecol Manage 366:208–220
Shi F (1999) Genetic ecology of Larix in northeast China. Northeast Forestry University Press, Harbin (in Japanese)
Shi F, Zu Y, Suzuki K, Yamamoto S, Nomura M, Sasa K (2000) Effects of site preparation on the regeneration of larch dominant forests after forest fire in the Daxinganling Mountain region, northeast China. Eurasian J For Res 1:11–17
Subedi N, Sharma M (2013) Climate-diameter growth relationships of black spruce and jack pine trees in boreal Ontario, Canada. Global Change Biol 19:505–516
Sun FH, Yang SY, Chen PS (2005) Climatic warming-drying trend in Northeastern China during the last 44 years and its effects. Chin J Appl Ecol 24:751–755 (in Chinese with English abstract)
Sun Y, Wang L, Chen J, Duan J, Zhao X, Cheng K (2010) Growth characteristics and response to climate change of Larix Miller tree-ring in China. Sci China Earth Sci 40(5):645–653
Temesgen H, Affleck D, Poudel K, Gray A, Sessions J (2015) A review of the challenges and opportunities in estimating above ground forest biomass using tree-level models. Scand J For Res 30:326–335
Ter-Mikaelian MT, Korzukhin MD (1997) Biomass equations for sixty-five North American tree species. For Ecol Manage 97(1):1–24
Tian X, Sohngen B, Kim JB, Ohrel S, Cole J (2016) Global climate change impacts on forests and markets. Environ Res Lett 11:035011
Timilsina N, Staudhammer CL (2013) Individual tree-based diameter growth model of slash pine in florida using nonlinear mixed modeling. For Sci 59(1):27–31
Tumwebaze SB, Bevilacqua E, Briggs R, Volk T (2013) Allometric biomass equations for tree species used in agroforestry systems in Uganda. Agroforest Syst 87:781–795
Vonesh EF, Chinchilli VM (1997) Linear and nonlinear models for the analysis of repeated measurements. Marcel Dekker, New York
Wagner RG, Ter-Mikaelian MT (1999) Comparison of biomass component equations for four species of northern coniferous tree seedlings. Ann Forest Sci 56:193–199
Wang C (2006) Biomass allometric equations for 10 co-occurring tree species in Chinese temperate forests. For Ecol Manage 222:9–16
Wang X, Zhao C, Jia Q (2013) Impacts of climate change on forest ecosystems in Northeast China. Adv Clim Change Res 4(4):230–241
West PW, Ratkowsky DA, Davis AW (1984) Problems of hypothesis testing of regressions with multiple measurements from individual sampling units. For Ecol Manage 7:207–224
Wirth C, Schumacher J, Schulze E (2004) Generic biomass functions for Norway spruce in Central Europe—a meta-analysis approach toward prediction and uncertainty estimation. Tree Physiol 24:121–139
Wu X, Liu H, Guo D, Anenkhonov OA, Badmaeva NK et al (2012) Growth decline linked to warming-induced water limitation in Hemi-Boreal Forests. PLoS One 7(8):e42619. doi:10.1371/journal.pone.0042619
Wykoff WR (1990) A basal area increment model for individual conifers in the northern Rocky Mountains. For Sci 36:1077–1110
Xu H (1998) Da Hinggan Ling Mountains forests in China. Science Press, Beijing (in Chinese with English abstract)
Yang Y, Huang S (2011) Comparison of different methods for fitting nonlinear mixed forest models and for making predictions. Can J For Res 41(8):1671–1686
Yang Y, Huang S, Meng SX, Trincado G, VanderSchaaf CL (2009) A multilevel individual tree basal area increment model for aspen in boreal mixedwood stands. Can J For Res 39:2203–2214
Yu D, Gu H, Wang J, Wang Q, Dai L (2005) Relationships of climate change and tree ring of Betula ermanii tree line forest in Changbai Mountain. J Forest Res 16(3):187–192
Zeng WS (2015) Integrated individual tree biomass simultaneous equations for two larch species in northeastern and northern China. Scand J For Res 30(7):594–604
Zeng WS, Tang SZ (2012) Modeling compatible single-tree biomass equations of Masson pine (Pinus massoniana) in Southern China. J Forest 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
Zhang ZX (2010) Dendrology (The North). 2nd China Forestry Publishing House, Beijing, 2nd ed. (In Chinese)
Zheng D, Hunt ER, Running SW (1993) A daily soil temperature model based on air temperature and precipitation for continental applications. Clim Res 2:183–191
Zhou Y (1991) The vegetation of Daxingan mountains in China. Science press, Beijing China (in Chinese)
Zhou X, Wang X, Han S, Zou C (2002) The effect of global climate change on the dynamics of Betula ermanii-tundra ecotone in the Changbai Mountains. Earth Sci Front 9(1):227–231 (In Chinese with English abstract)
Zianis D, Mencuccini M (2004) On simplifying allometric analyses of forest biomass. For Ecol Manage 187:311–332
Zianis D, Muukkonen P, Mäkipää R, Mencuccini M (2005) Biomass and stem volume equations for tree species in Europe. Silva. Fenn. 4:1–63
Acknowledgements
We thank the Forestry Public Welfare Scientific Research Project of China (no. 201404417), the Central Public-interest Scientific Institution Basal Research Fund (grant no. 2014QB017) and the Chinese National Natural Science Foundations (nos. 31270679, 31470641, 31300534, 31570628) for the financial support of this study. We also appreciate the valuable comments and constructive suggestions from two anonymous referees and the associate editor.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Communicated by R. Grote.
Appendix
Appendix
An R program for evaluating the base allometric aboveground biomass (AGB) Model (1), the AGB model without inclusion of climate variables Model (2), the base Model (9) and the nonlinear mixed-effects climatic-sensitive AGB Model (12) in two cases: at the population average (PA) level and province level using the leave-one-out cross-validation approach is given as follows:
Rights and permissions
About this article
Cite this article
Fu, L., Sun, W. & Wang, G. A climate-sensitive aboveground biomass model for three larch species in northeastern and northern China. Trees 31, 557–573 (2017). https://doi.org/10.1007/s00468-016-1490-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00468-016-1490-6