Bauhus J, Khanna P, Menden N (2000) Aboveground and belowground interactions in mixed plantations of Eucalyptus globulus and Acacia mearnsii. Can J For Res 30:1886–1894. doi:10.1139/x00-141
Article
Google Scholar
Bauhus J, Van Winden AP, Nicotra AB (2004) Aboveground interactions and productivity in mixed-species plantations of Acacia mearnsii and Eucalyptus globulus. Can J For Res 34:686–694. doi:10.1139/x03-243
Article
Google Scholar
Berrill J-P, O’Hara KL (2013) Estimating site productivity in irregular stand structures by indexing the basal area or volume increment of the dominant species. Can J For Res 44:92–100. doi:10.1139/cjfr-2013-0230
Article
Google Scholar
Box GE, Cox DR (1964) An analysis of transformations. J R Stat Soc Ser B Stat Methodol 26:211–252
Google Scholar
Buongiorno J, Dahir S, Lu H-C, Lin C-R (1994) Tree size diversity and economic returns in uneven-aged forest stands. For Sci 40:83–103
Google Scholar
Canham CD (1989) Different responses to gaps among shade-tolerant tree species. Ecology 70:548–550. doi:10.2307/1940200
Article
Google Scholar
Clark JS (2010) Individuals and the variation needed for high species diversity in forest trees. Science 327:1129–1132
CAS
Article
PubMed
Google Scholar
Condés S, Sterba H (2005) Derivation of compatible crown width equations for some important tree species of Spain. For Ecol Manage 217:203–218. doi:10.1016/j.foreco.2005.06.002
Article
Google Scholar
Cotta H (1828) Anweisung zum Waldbau, 4th edn. Arnoldische Buchhandlung, Dresden
Google Scholar
Dormann CF, Elith J, Bacher S, Buchmann C, Carl G, Carré G, Marquéz JRG, Gruber B, Lafourcade B, Leitão PJ, Münkemüller T, McClean C, Osborne PE, Reineking B, Schröder B, Skidmore AK, Zurell D, Lautenbach S (2013) Collinearity: a review of methods to deal with it and a simulation study evaluating their performance. Ecography 36:27–46. doi:10.1111/j.1600-0587.2012.07348.x
Article
Google Scholar
Fahey RT, Fotis AT, Woods KD (2015) Quantifying canopy complexity and effects on productivity and resilience in late-successional hemlock–hardwood forests. Ecol Appl 25:834–847. doi:10.1890/14-1012.1
Article
PubMed
Google Scholar
Fichtner A, Forrester DI, Härdtle W, Sturm K, von Oheimb G (2015) Facilitative-competitive interactions in an old-growth forest: the importance of large-diameter trees as benefactors and stimulators for forest community assembly. PLoS One 10:e0120335. doi:10.1371/journal.pone.0120335
Article
PubMed
PubMed Central
Google Scholar
Forrester DI (2014) The spatial and temporal dynamics of species interactions in mixed-species forests: from pattern to process. For Ecol Manage 312:282–292
Article
Google Scholar
Franklin JF, Spies TA, Pelt RV, Carey AB, Thornburgh DA, Berg DR, Lindenmayer DB, Harmon ME, Keeton WS, Shaw DC (2002) Disturbances and structural development of natural forest ecosystems with silvicultural implications, using Douglas-fir forests as an example. For Ecol Manage 155:399–423. doi:10.1016/S0378-1127(01)00575-8
Article
Google Scholar
Gamfeldt L, Snäll T, Bagchi R, Jonsson M, Gustafsson L, Kjellander P, Ruiz-Jaen MC, Fröberg M, Stendahl J, Philipson CD, Mikusiński G, Andersson E, Westerlund B, Andrén H, Moberg F, Moen J, Bengtsson J (2013) Higher levels of multiple ecosystem services are found in forests with more tree species. Nat Commun 4:1340. doi:10.1038/ncomms2328
Article
PubMed
PubMed Central
Google Scholar
Gough CM, Vogel CS, Hardiman B, Curtis PS (2010) Wood net primary production resilience in an unmanaged forest transitioning from early to middle succession. For Ecol Manage 260:36–41. doi:10.1016/j.foreco.2010.03.027
Article
Google Scholar
Grace JB (2006) Structural equation modeling and natural systems. Cambridge University Press, Cambridge
Book
Google Scholar
Grace JB, Bollen KA (2005) Interpreting the results from multiple regression and structural equation models. Bull Ecol Soc Am 86:283–295. doi:10.1890/0012-9623(2005)86[283:ITRFMR]2.0.CO;2
Article
Google Scholar
Grossiord C, Granier A, Ratcliffe S, Bouriaud O, Bruelheide H, Chećko E, Forrester DI, Dawud SM, Finér L, Pollastrini M (2014) Tree diversity does not always improve resistance of forest ecosystems to drought. Proc Natl Acad Sci USA 111:14812–14815. doi:10.1073/pnas.1411970111
CAS
Article
PubMed
PubMed Central
Google Scholar
Hanewinkel M, Kuhn T, Bugmann H, Lanz A, Brang P (2014) Vulnerability of uneven-aged forests to storm damage. Forestry 87:525–534. doi:10.1093/forestry/cpu008
Article
Google Scholar
Hardiman BS, Bohrer G, Gough CM, Vogel CS, Curtis PS (2011) The role of canopy structural complexity in wood net primary production of a maturing northern deciduous forest. Ecology 92:1818–1827. doi:10.1890/10-2192.1
Article
PubMed
Google Scholar
Hardiman BS, Gough CM, Halperin A, Hofmeister KL, Nave LE, Bohrer G, Curtis PS (2013) Maintaining high rates of carbon storage in old forests: a mechanism linking canopy structure to forest function. For Ecol Manage 298:111–119. doi:10.1016/j.foreco.2013.02.031
Article
Google Scholar
Hooper DU, Chapin F III, Ewel J, Hector A, Inchausti P, Lavorel S, Lawton J, Lodge D, Loreau M, Naeem S (2005) Effects of biodiversity on ecosystem functioning: a consensus of current knowledge. Ecol Monogr 75:3–35. doi:10.1890/04-0922
Article
Google Scholar
Ishii HT, S-i Tanabe, Hiura T (2004) Exploring the relationships among canopy structure, stand productivity, and biodiversity of temperate forest ecosystems. For Sci 50:342–355
Google Scholar
Jactel H, Brockerhoff EG (2007) Tree diversity reduces herbivory by forest insects. Ecol Lett 10:835–848. doi:10.1111/j.1461-0248.2007.01073.x
Article
PubMed
Google Scholar
Jucker T, Bouriaud O, Avacaritei D, Dănilă I, Duduman G, Valladares F, Coomes DA (2014) Competition for light and water play contrasting roles in driving diversity–productivity relationships in Iberian forests. J Ecol 102:1202–1213. doi:10.1111/1365-2745.12276
Article
Google Scholar
Jucker T, Bouriaud O, Coomes DA (2015) Crown plasticity enables trees to optimize canopy packing in mixed-species forests. Funct Ecol 29:1078–1086. doi:10.1111/1365-2435.12428
Article
Google Scholar
Kelty MJ (1992) Comparative productivity of monocultures and mixed-species stands. In: Kelty MJ, Larson BC, Oliver CD (eds) The ecology and silviculture of mixed-species forests. Kluwer, Dordrecht, pp 125–141
Chapter
Google Scholar
Kelty MJ (2006) The role of species mixtures in plantation forestry. For Ecol Manage 233:195–204. doi:10.1016/j.foreco.2006.05.011
Article
Google Scholar
Kneeshaw DD, Kobe RK, Coates KD, Messier C (2006) Sapling size influences shade tolerance ranking among southern boreal tree species. J Ecol 94:471–480. doi:10.1111/j.1365-2745.2005.01070.x
Article
Google Scholar
Körner C (2005) An introduction to the functional diversity of temperate forest trees. In: Scherer-Lorenzen M, Körner C, Schulze E-D (eds) Forest diversity and function, vol 176. Springer, Heidelberg, pp 13–37
Chapter
Google Scholar
Kuehne C, Weiskittel AR, Fraver S, Puettmann KJ (2015) Effects of thinning-induced changes in structural heterogeneity on growth, ingrowth, and mortality in secondary coastal Douglas-fir forests. Can J For Res 45:1448–1461. doi:10.1139/cjfr-2015-0113
Article
Google Scholar
Lei X, Wang W, Peng C (2009) Relationships between stand growth and structural diversity in spruce-dominated forests in New Brunswick, Canada. Can J For Res 39:1835–1847. doi:10.1139/X09-089
Article
Google Scholar
Lexerød NL, Eid T (2006) An evaluation of different diameter diversity indices based on criteria related to forest management planning. For Ecol Manage 222:17–28. doi:10.1016/j.foreco.2005.10.046
Article
Google Scholar
Liang J, Buongiorno J, Monserud RA (2005) Growth and yield of all-aged Douglas-fir—western hemlock forest stands: a matrix model with stand diversity effects. Can J For Res 35:2368–2381. doi:10.1139/x05-137
Article
Google Scholar
Liang J, Buongiorno J, Monserud RA, Kruger EL, Zhou M (2007) Effects of diversity of tree species and size on forest basal area growth, recruitment, and mortality. For Ecol Manage 243:116–127. doi:10.1016/j.foreco.2007.02.028
Article
Google Scholar
Long JN, Shaw JD (2010) The influence of compositional and structural diversity on forest productivity. Forestry 83:121–128. doi:10.1093/forestry/cpp033
Article
Google Scholar
Loreau M, Hector A (2001) Partitioning selection and complementarity in biodiversity experiments. Nature 412:72–76. doi:10.1038/35083573
CAS
Article
PubMed
Google Scholar
Magurran AE (2004) Measuring biological diversity. Blackwell, Malden
Google Scholar
McElhinny C, Gibbons P, Brack C, Bauhus J (2005) Forest and woodland stand structural complexity: its definition and measurement. For Ecol Manage 218:1–24. doi:10.1016/j.foreco.2005.08.034
Article
Google Scholar
McGill BJ, Enquist BJ, Weiher E, Westoby M (2006) Rebuilding community ecology from functional traits. Trends Ecol Evol 21:178–185. doi:10.1016/j.tree.2006.02.002
Article
PubMed
Google Scholar
Monserud RA, Sterba H (1996) A basal area increment model for individual trees growing in even-and uneven-aged forest stands in Austria. For Ecol Manage 80:57–80. doi:10.1016/0378-1127(95)03638-5
Article
Google Scholar
Morin X, Fahse L, Scherer-Lorenzen M, Bugmann H (2011) Tree species richness promotes productivity in temperate forests through strong complementarity between species. Ecol Lett 14:1211–1219. doi:10.1111/j.1461-0248.2011.01691.x
Article
PubMed
Google Scholar
Naeem S (2002) Ecosystem consequences of biodiversity loss: the evolution of a paradigm. Ecology 83:1537–1552. doi:10.1890/0012-9658(2002)083[1537:ECOBLT]2.0.CO;2
Article
Google Scholar
Nakagawa S, Schielzeth H (2013) A general and simple method for obtaining R2 from generalized linear mixed-effects models. Methods Ecol Evol 4:133–142. doi:10.1111/j.2041-210x.2012.00261.x
Article
Google Scholar
Oberski D (2014) Lavaan. survey: an R package for complex survey analysis of structural equation models. J Stat Softw 57:1–27
Article
Google Scholar
Osawa A (1995) Inverse relationship of crown fractal dimension to self-thinning exponent of tree populations: a hypothesis. Can J For Res 25:1608–1617. doi:10.1139/x95-175
Article
Google Scholar
Paquette A, Messier C (2011) The effect of biodiversity on tree productivity: from temperate to boreal forests. Global Ecol Biogeogr 20:170–180. doi:10.1111/j.1466-8238.2010.00592.x
Article
Google Scholar
Parker GG (1997) Canopy structure and light environment of an old-growth Douglas-fir/western hemlock forest. Northwest Sci 71:261–270
Google Scholar
Parker GG, Russ ME (2004) The canopy surface and stand development: assessing forest canopy structure and complexity with near-surface altimetry. For Ecol Manage 189:307–315. doi:10.1016/j.foreco.2003.09.001
Article
Google Scholar
Parker GG, Davis MM, Chapotin SM (2002) Canopy light transmittance in Douglas-fir–western hemlock stands. Tree Physiol 22:147–157. doi:10.1093/treephys/22.2-3.147
Article
PubMed
Google Scholar
Parker GG, Harmon ME, Lefsky MA, Chen J, Van Pelt R, Weis SB, Thomas SC, Winner WE, Shaw DC, Frankling JF (2004) Three-dimensional structure of an old-growth Pseudotsuga-Tsuga canopy and its implications for radiation balance, microclimate, and gas exchange. Ecosystems 7:440–453. doi:10.1007/s10021-004-0136-5
Article
Google Scholar
Pinheiro JC, Bates DM (2000) Mixed-effects models in S and S-PLUS. Springer, New York
Book
Google Scholar
Piotto D (2008) A meta-analysis comparing tree growth in monocultures and mixed plantations. For Ecol Manage 255:781–786. doi:10.1016/j.foreco.2007.09.065
Article
Google Scholar
Pommerening A (2002) Approaches to quantifying forest structures. Forestry 75:305–324. doi:10.1093/forestry/75.3.305
Article
Google Scholar
Potvin C, Gotelli NJ (2008) Biodiversity enhances individual performance but does not affect survivorship in tropical trees. Ecol Lett 11:217–223. doi:10.1111/j.1461-0248.2007.01148.x
Article
PubMed
Google Scholar
Pretzsch H (2005) Diversity and productivity in forests: evidence from long-term experimental plots. In: Scherer-Lorenzen M, Körner C, Schulze E-D (eds) Forest diversity and function, vol 176. Springer, Heidelberg, pp 41–64
Chapter
Google Scholar
Pretzsch H (2009) Forest dynamics, growth, and yield. Springer, Berlin
Book
Google Scholar
Pretzsch H (2014) Canopy space filling and tree crown morphology in mixed-species stands compared with monocultures. For Ecol Manage 327:251–264. doi:10.1016/j.foreco.2014.04.027
Article
Google Scholar
Pretzsch H, Schütze G (2009) Transgressive overyielding in mixed compared with pure stands of Norway spruce and European beech in Central Europe: evidence on stand level and explanation on individual tree level. Eur J For Res 128:183–204. doi:10.1007/s10342-008-0215-9
Article
Google Scholar
Pretzsch H, Block J, Dieler J, Dong P, Kohnle U, Nagel J, Spellmann H, Zingg A (2010) Comparison between the productivity of pure and mixed stands of Norway spruce and European beech along an ecological gradient. Ann For Sci 67:712. doi:10.1051/forest/2010037
Article
Google Scholar
R Core Team (2014) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, http://www.R-project.org/. Accessed 1 Dec 2015
Reich PB (2012) Key canopy traits drive forest productivity. Proc R Soc Lond B Biol Sci 283:1–7. doi:10.1098/rspb.2011.2270
Google Scholar
Richards AE, Forrester DI, Bauhus J, Scherer-Lorenzen M (2010) The influence of mixed tree plantations on the nutrition of individual species: a review. Tree Physiol 30:1192–1208. doi:10.1093/treephys/tpq035
Article
PubMed
Google Scholar
Rosseel Y (2012) lavaan: an R package for structural equation modeling. J Stat Softw 48:1–36
Article
Google Scholar
Ryan MG, Stape JL, Binkley D, Fonseca S, Loos RA, Takahashi EN, Silva CR, Silva SR, Hakamada RE, Ferreira JM (2010) Factors controlling Eucalyptus productivity: how water availability and stand structure alter production and carbon allocation. For Ecol Manage 259:1695–1703. doi:10.1016/j.foreco.2010.01.013
Article
Google Scholar
Scherer-Lorenzen M, Schulze E-D, Don A, Schumacher J, Weller E (2007) Exploring the functional significance of forest diversity: a new long-term experiment with temperate tree species (BIOTREE). Perspect Plant Ecol Evol Syst 9:53–70. doi:10.1016/j.ppees.2007.08.002
Article
Google Scholar
Schwinning S, Weiner J (1998) Mechanisms determining the degree of size asymmetry in competition among plants. Oecologia 113:447–455. doi:10.1007/s004420050397
Article
Google Scholar
Sprugel D (1983) Correcting for bias in log-transformed allometric equations. Ecology 64:209–210
Article
Google Scholar
Staudhammer CL, LeMay VM (2001) Introduction and evaluation of possible indices of stand structural diversity. Can J For Res 31:1105–1115. doi:10.1139/x01-033
Article
Google Scholar
Sterba H, Zingg A (2006) Abstandsabhängige und abstandsunabhängige Bestandesstrukturbeschreibung. Allg Forst Jagdztg 177:169–176
Google Scholar
Tilman D, Knops J, Wedin D, Reich P, Ritchie M, Siemann E (1997) The influence of functional diversity and composition on ecosystem processes. Science 277:1300–1302. doi:10.1126/science.277.5330.1300
CAS
Article
Google Scholar
Tilman D, Reich PB, Knops J, Wedin D, Mielke T, Lehman C (2001) Diversity and productivity in a long-term grassland experiment. Science 294:843–845. doi:10.1126/science.1060391
CAS
Article
PubMed
Google Scholar
Valladares F, Niinemets Ü (2008) Shade tolerance, a key plant feature of complex nature and consequences. Annu Rev Ecol Evol Syst. doi:10.1146/annurev.ecolsys.39.110707.173
Google Scholar
Vilà M, Vayreda J, Gracia C, Ibáñez JJ (2003) Does tree diversity increase wood production in pine forests? Oecologia 135:299–303. doi:10.1007/s00442-003-1182-y
Article
PubMed
Google Scholar
Vilà M, Carrillo-Gavilán A, Vayreda J, Bugmann H, Fridman J, Grodzki W, Haase J, Kunstler G, Schelhaas M, Trasobares A (2013) Disentangling biodiversity and climatic determinants of wood production. PLoS One 8:e53530. doi:10.1371/journal.pone.0053530
Article
PubMed
PubMed Central
Google Scholar
Yachi S, Loreau M (2007) Does complementary resource use enhance ecosystem functioning? A model of light competition in plant communities. Ecol Lett 10:54–62. doi:10.1111/j.1461-0248.2006.00994.x
Article
PubMed
Google Scholar
Yang X, Bauhus J, Both S, Fang T, Härdtle W, Kröber W, Ma K, Nadrowski K, Pei K, Scherer-Lorenzen M (2013) Establishment success in a forest biodiversity and ecosystem functioning experiment in subtropical China (BEF-China). Eur J For Res 132:593–606. doi:10.1007/s10342-013-0696-z
Article
Google Scholar
Zhang Y, Chen HYH (2015) Individual size inequality links forest diversity and above-ground biomass. J Ecol 103:1245–1252. doi:10.1111/1365-2745.12425
Article
Google Scholar
Zhang Y, Chen HY, Reich PB (2012) Forest productivity increases with evenness, species richness and trait variation: a global meta-analysis. J Ecol 100:742–749. doi:10.1111/j.1365-2745.2011.01944.x
Article
Google Scholar