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Tree allometry variation in response to intra- and inter-specific competitions

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Crown, height and stem allometry vary with stand density and species composition, the plasticity in response to inter- and intra-specific competitions being related to species shade tolerances.

Abstract

Determining the way in which variability in tree allometry is modulated by intra- and inter-specific competitions in different species and stand compositions is of particular interest for forest modelling and practice. In this study, we explore this variability by developing models for tree crown diameter, total height and diameter at a height of 4 m, which include intra- and inter-specific competition terms. More than 19,000 Scots pine, silver fir, sessile oak and European beech trees from 4711 sample plots belonging to the Spanish National Forest Inventory were included in the study, covering both monospecific and two species mixed stands in Northern Spain. Trees growing under conditions of high competition displayed narrower crowns, greater heights and less taper for a given tree diameter, the plasticity in crown and height in response to intra-specific competition being related to species shade tolerance. The inter-specific competition effect on crown diameter and height was related to the difference in shade tolerance between the two species of the mixture, while stem taper did not exhibit this pattern. These results suggest that trees in mixed stands indeed show a modified allometry, which might be related to complementary resource acquisition strategies. The large variability observed in tree allometry indicates the need to consider both intra- and inter-specific competitions in allometric models.

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References

  • Baldwin VC Jr, Peterson KD, Clark A III, Ferguson RB, Strub MR, Bower DR (2000) The effects of spacing and thinning on stand and tree characteristics of 38-year-old Loblolly Pine. For Ecol Manag 137:91–102

    Article  Google Scholar 

  • Barbeito I, Dassot M, Bayer D, Collet C, Drössler L, Löf M, del Río M, Ruiz-Peinado R, Forrester DI, Bravo-Oviedo A, Pretzsch H (2017) Terrestrial laser scanning reveals differences in crown structure of Fagus sylvatica in mixed vs. pure European forests. For Ecol Manag 405:381–390

    Article  Google Scholar 

  • Bayer D, Seifert S, Pretzsch H (2013) Structural crown properties of Norway spruce (Picea abies [L.] Karst.) and European beech (Fagus sylvatica [L.]) in mixed versus pure stands revealed by terrestrial laser scanning. Trees 27(4):1035–1047

    Article  Google Scholar 

  • Beauchamp JJ, Olson JS (1973) Corrections for bias in regression estimates after logarithmic transformation. Ecology 54:1403–1407

    Article  Google Scholar 

  • Benneter A, Forrester DI, Bouriaud O, Dormann CF, Bauhus J (2018) Tree species diversity does not compromise stem quality in major European forest types. For Ecol Manag 422:323–337

    Article  Google Scholar 

  • Bielak K, Dudzińska M, Pretzsch H (2014) Mixed stands of Scots pine (Pinus sylvestris L.) and Norway spruce [Picea abies (L.) Karst] can be more productive than monocultures. evidence from over 100 years of observation of long-term experiments. For Syst 23(3):573–589

    Google Scholar 

  • Bravo-Oviedo A, del Río M, Calama R, Valentine HT (2014) New approaches to modelling cross-sectional area to height allometry in four Mediterranean pine species. Forestry 87:399–406

    Article  Google Scholar 

  • Bravo-Oviedo A, Condés S, del Río M, Pretzsch H, Ducey MJ (2018) Maximum stand density strongly depends on species-specific wood stability, shade and drought tolerance. Forestry 91:459–469

    Article  Google Scholar 

  • Brüchert F, Gardiner B (2006) The effect of wind exposure on the tree aerial architecture and biomechanics of Sitka spruce (Picea sitchensis, Pinaceae). Am J Bot 93:1512–1521

    Article  PubMed  Google Scholar 

  • Cameron AD, Watson BA (1999) Effect of nursing mixtures on the stem form, crown size, branching habit and wood properties of Sitka spruce (Picea sitchensis (Bong.) Carr.). For Ecol Manage 122:113–124

    Article  Google Scholar 

  • Condés S, del Río M (2015) Climate modifies tree interactions in terms of basal area growth and mortality in monospecific and mixed Fagus sylvatica and Pinus sylvestris forests. Eur J Forest Res 134:1095–1108

    Article  Google Scholar 

  • Dean TJ, Baldwin VC (1996) The relationship between Reineke’s stand-density index and physical stem mechanics. For Ecol Manag 81(1–3):25–34

    Article  Google Scholar 

  • del Río M, Montero G, Bravo F (2001) Analysis of diameter-density relationships and self-thinning in non-thinned even-aged Scots pine stands. For Ecol Manag 142(1–3):79–87

    Google Scholar 

  • del Río M, Condés S, Pretzsch H (2014) Analyzing size-symmetric vs. size-asymmetric and intra-vs. inter-specific competition in beech (Fagus sylvatica L.) mixed stands. For Ecol Manag 325:90–98

    Article  Google Scholar 

  • del Río M, Pretzsch H, Alberdi I, Bielak K, Bravo F, Brunner A, Condés S, Ducey MJ, Fonseca T, von Lüpke N, Pach M, Peric S, Perot T, Souidi Z, Spathelf P, Sterba H, Tijardovic M, Tomé M, Vallet P, Bravo-Oviedo A (2016) Characterization of the structure, dynamics, and productivity of mixed-species stands: review and perspectives. Eur J Forest Res 135:23–49

    Article  Google Scholar 

  • Dieler J, Pretzsch H (2013) Morphological plasticity of European beech (Fagus sylvatica L.) in pure and mixed-species stands. For Ecol Manag 295:97–108

    Article  Google Scholar 

  • Dietze MC, Wolosin MS, Clark JS (2008) Capturing diversity and interspecific variability in allometries: a hierarchical approach. For Ecol Manag 256:1939–1948

    Article  Google Scholar 

  • Ducey MJ (2012) Evergreenness and wood density predict height-diameter scaling in trees of the northeastern United States. For Ecol Manage 279:21–26

    Article  Google Scholar 

  • Ducey MJ, Knapp RA (2010) A stand density index for complex mixed species forests in the northeastern United States. For Ecol Manag 260(9):1613–1622. https://doi.org/10.1016/j.foreco.2010.08.014

    Article  Google Scholar 

  • Ducey MJ, Woodall CW, Bravo-Oviedo A (2017) Climate and species functional traits influence maximum live tree stocking in the Lake States, USA. For Ecol Manag 386:51–61

    Article  Google Scholar 

  • Duursma RA, Mäkelä A, Reid DEB, Jokela EJ, Porté AJ, Roberts SD (2010) Self-shading affects allometric scaling in trees. Funct Ecol 24:723–730

    Article  Google Scholar 

  • Enquist BJ, Niklas KJ (2002) Global allocation rules for patterns of biomass partitioning in seed plants. Science 295:1517–1520

    Article  CAS  Google Scholar 

  • Enquist BJ, Allen AP, Brown JH, Gillooly JF, Kerkhoff AJ, Niklas KJ, Price CA, West GB (2007) Biological scaling: does the exception prove the rule? Nature 445:E9–E10

    Article  CAS  PubMed  Google Scholar 

  • Forrester DI (2014) The spatial and temporal dynamics of species interactions in mixed-species forests: from pattern to process. For Ecol Manag 312:282–292

    Article  Google Scholar 

  • Forrester DI (2017) Ecological and physiological processes in mixed versus monospecific stands. In: Pretzsch H, Forrester DI, Bauhus J (eds) Mixed-species forests. Ecology and management. Springer, Berlin, pp 73–115

    Chapter  Google Scholar 

  • Forrester DI, Pretzsch H (2015) On the strength of evidence when comparing ecosystem functions of mixtures with monocultures, Tamm review. For Ecol Manag 356:41–53

    Article  Google Scholar 

  • Forrester DI, Benneter A, Bouriaud O, Bauhus J (2017a) Diversity and competition influence tree allometric relationships—developing functions for mixed-species forests. J Ecol 105:761–774

    Article  Google Scholar 

  • Forrester DI, Tachauer IHH, Annighoefer P, Barbeito I, Pretzsch H, Ruiz-Peinado R, Stark H, Vacchiano G, Zlatanov T, Chakraborty T, Saha S, Sileshi GW (2017b) Generalized biomass and leaf area allometric equations for European tree species incorporating stand structure, tree age and climate. For Ecol Manag 396:160–175

    Article  Google Scholar 

  • Forrester DI, Ammer C, Annighöfer PJ, Barbeito I, Bielak K, Bravo-Oviedo A, Coll L, del Río M, Drössler L, Heym M, Hurt V, Löf M, den Ouden J, Pach M, Pereira MG, Plaga BNE, Ponette Q, Skrzyszewski J, Sterba H, Svoboda M, Zlatanov TM, Pretzsch H (2018) Effects of crown architecture and stand structure on light absorption in mixed and monospecific Fagus sylvatica and Pinus sylvestris forests along a productivity and climate gradient through Europe. J Ecol 106(2):746–760

    Article  CAS  Google Scholar 

  • Franceschini T, Schneider R (2014) Influence of shade tolerance and development stage on the allometry of ten temperate tree species. Oecologia 176:739–749

    Article  PubMed  Google Scholar 

  • Harja D, Vincent G, Mulia R, van Noordwijk M (2012) Tree shape plasticity in relation to crown exposure. Trees Struct Funct 26(4):1275–1285

    Article  Google Scholar 

  • Hemery GE, Savill PS, Pryor SN (2005) Applications of the crown diameter-stem diameter relationship for different species of broadleaved trees. For Ecol Manag 215(1–3):285–294

    Article  Google Scholar 

  • Ikonen VP, Kellomäki S, Väisänen H, Peltola H (2006) Modelling the distribution of diameter growth along the stem in Scots pine. Trees Struct Funct 20(3):391–392

    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

    Article  Google Scholar 

  • Karlsson K (2000) Stem form and taper changes after thinning and Nitrogen fertilization in Picea abies and Pinus sylvestris stands. Scand J For Res 15:621–632

    Article  Google Scholar 

  • Larocque GR, Luckai N, Adhikary SN, Groot A, Bell FW, Sharma M (2013) Competition theory-science and application in mixed forest stands: review of experimental and modelling methods and suggestions for future research. Environ Rev 21:71–84

    Article  Google Scholar 

  • Larson PR (1963) Stem form development of forest trees. For Sci Monogr 4:a0001–a00042

    Google Scholar 

  • Lines ER, Zavala MA, Purves DW, Coomes DA (2012) Predictable changes in aboveground allometry of trees along gradients of temperature, aridity and competition. Glob Ecol Biogeogr 21:1017–1028

    Article  Google Scholar 

  • Maj A (2011) lmmfit: goodness-of-fit-measures for linear mixed models with one-level-grouping. R package version 1.0. https://CRAN.R-project.org/package=lmmfit

  • Mäkelä A, Valentine HT (2006) Crown ratio influences allometric scaling in trees. Ecology 87:2967–2972

    Article  PubMed  Google Scholar 

  • Mäkelä A, Vanninen P (1998) Impacts of size and competition on tree form and distribution of aboveground biomass in Scots pine. Can J For Res 28:216–227

    Article  Google Scholar 

  • Martin-Ducup O, Robert S, Fournier RA (2016) Response of sugar maple (Acer saccharum, Marsh.) tree crown structure to competition in pure versus mixed stands. For Ecol Manag 374:20–32

    Article  Google Scholar 

  • Niinemets Ü, Valladares F (2006) Tolerance to shade, drought, and waterlogging of temperate northern hemisphere trees and shrubs. Ecol Monogr 76:521–547

    Article  Google Scholar 

  • Niklas KJ (2004) Plant allometry: is there a grand unifying theory? Biol Rev Camb Philos Soc 79:871–889

    Article  PubMed  Google Scholar 

  • Pinheiro J, Bates D, DebRoy S, Sarkar D, R Core Team (2017) nlme: linear and nonlinear mixed effects models. R package version 3.1-131

  • Poorter H, Jagodzinski AM, Ruiz-Peinado R, Kuyah S, Luo Y, Oleksyn J, Usoltsev VA, Buckley TN, Reich PB, Sack L (2015) How does biomass distribution change with size and differ among species? An analysis for 1200 plant species from five continents. New Phytol 208:736–749

    Article  PubMed  PubMed Central  Google Scholar 

  • Pretzsch H (2014) Canopy space filling and tree crown morphology in mixed-species stands compared with monocultures. For Ecol Manag 327:251–264

    Article  Google Scholar 

  • Pretzsch H (2017) Individual tree structure and growth in mixed compared with monospecific stands. In: Pretzsch H, Forrester DI, Bauhus J (eds) Mixed-species forests. Ecology and management. Springer, Berlin, pp 271–336

    Chapter  Google Scholar 

  • Pretzsch H, Biber P (2005) A re-evaluation of Reineke’s rule and stand density index. Forest Science 51:304–320

    Google Scholar 

  • Pretzsch H, Biber P (2010) Size-symmetric versus size-asymmetric competition and growth partitioning among trees in forest stands along an ecological gradient in central Europe. Can J For Res 40:370–384

    Article  Google Scholar 

  • Pretzsch H, Dieler J (2012) Evidence of variant intra- and interspecific scaling of tree crown structure and relevance for allometric theory. Oecologia 169(3):637–649

    Article  PubMed  PubMed Central  Google Scholar 

  • Pretzsch H, Forrester DI (2017) Stand dynamics of mixed-species stands compared with monocultures. In: Pretzsch H, Forrester DI, Bauhus J (eds) Mixed-species forests. Ecology and management. Springer, Berlin, pp 117–209

    Chapter  Google Scholar 

  • Pretzsch H, Rais A (2016) Wood quality in complex forests versus even-aged monocultures: review and perspectives. Wood Sci Technol 50(4):845–880

    Article  CAS  Google Scholar 

  • Pretzsch H, Daubert E, Biber P (2013) Species-specific and ontogeny-related stem allometry of European forest trees: evidence from extensive stem analyses. For Sci 59:290–302

    Google Scholar 

  • Pretzsch H, Forrester D, Rötzer T (2015) Representation of species mixing in forest growth models. A review and perspective. Ecol Model 313:276–292

    Article  Google Scholar 

  • Pretzsch H, del Río M, Schütze G, Ammer C, Annighöfer P, Avdagic A, Barbeito I, Bielak K, Brazaitis G, Coll L, Drössler L, Fabrika M, Forrester DI, Kurylyak V, Löf M, Lombardi F, Matovic B, Mohren F, Motta R, den Ouden J, Pach M, Ponette Q, Schweig J, Skrzyszewski J, Sramek V, Sterba H, Svoboda M, Verheyen K, Zlatanov T, Bravo-Oviedo A (2016) Mixing of Scots pine (Pinus sylvestris L.) and European beech (Fagus sylvatica L.) enhances structural heterogeneity, and the effect increases with water availability. For Ecol Manag 373:149–166

    Article  Google Scholar 

  • Reineke LH (1933) Perfecting a stand-density index for even-aged forests. J Agric Res 46:627–638

    Google Scholar 

  • Rivas-Martínez SC (2007) Mapa de series, geoseries y geopermaseries de vegetación de España (Memoria del mapa de vegetación potencial de España). Parte I Itinera Geobotánica 17:5–436

    Google Scholar 

  • Ruiz-Peinado R, Heym M, Drössler L, Corona P, Condés S, Bravo F, Pretzsch H, Bravo-Oviedo A, del Río M (2018) Data platforms for mixed forests research: contributions from the EuMIXFOR network. In: Bravo-Oviedo A, Pretzsch H, del Río M (eds) Dynamics, silviculture and management of mixed forests. Springer, Berlin (in press)

    Google Scholar 

  • Steele PH (1984) Factors determining lumber recovery in sawmilling. Gen Tech Rep FPL-39. US Department of Agriculture, Forest Service, Forest Products Laboratory, Madison, p 8

    Book  Google Scholar 

  • Tasissa G, Burkhart H (1997) Modeling thinning effects on ring width distribution in loblolly pine (Pinus taeda). Can J For Res 27:1291–1301

    Article  Google Scholar 

  • Thorpe HC, Astrup R, Trowbridge A, Coates KD (2010) Competition and tree crowns: a neighborhood analysis of three boreal tree species. For Ecol Manag 259:1586–1596

    Article  Google Scholar 

  • Valladares F, Sánchez-Gómez D, Zavala MA (2006) Quantitative estimation of phenotypic plasticity: bridging the gap between the evolutionary concept and its ecological applications. J Ecol 94:1103–1116

    Article  Google Scholar 

  • Wang Y, Titus SJ, Lemay VM (1998) Relationship between tree slenderness coefficients and tree or stand characteristics for major species in boreal mixed forest. Can J For Res 28:1171–1183

    Article  Google Scholar 

  • West GB, Brown JH, Enquist BJ (1999) A general model for the structure and allometry of plant vascular systems. Nature 400:664–667

    Article  CAS  Google Scholar 

  • Williams LJ, Paquette A, Cavender-Bares J, Messier C, Reich PB (2017) Spatial complementarity in tree crowns explains overyielding in species mixtures. Nat Ecol Evol 1:63

    Article  PubMed  Google Scholar 

  • Woodall CW, Miles PD, Vissage JS (2005) Determining maximum stand density index in mixed species stands for strategic-scale stocking assessments. For Ecol Manag 216(1–3):367–377

    Article  Google Scholar 

  • Wykoff WR (1990) A basal area increment model for individual conifers in the northern Rocky Mountains. For Sci 36:1077–1104

    Google Scholar 

  • Zanne AE, Lopez-Gonzalez G, Coomes DA, Ilic J, Jansen S, Lewis SL, Miller RB, Swenson NG, Wiemann MC, Chave J (2009) Global wood density database. Dryad. Identifier: http://hdl.handle.net/10255/dryad.235. Accessed 5 Feb 2018

  • Zhang SY (2003) Wood quality: its definition, impact and implications for value-added timber management and end-uses. In: CTIA/IUFRO International wood quality workshop—timber management toward wood quality and end-product value. Quebec city, pp 117–139

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Acknowledgements

The authors acknowledge Roberto Vallejo, in charge of the Spanish National Forest Inventory, for the provision of the NFI data. They also thank the Spanish Ministry of Economy and Competitiveness for funding the research project “Mixed Forest complexity and sustainability: dynamic, silviculture and adaptive management tools” (AGL2014-51964-C2-2-R).

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Correspondence to Miren del Río.

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del Río, M., Bravo-Oviedo, A., Ruiz-Peinado, R. et al. Tree allometry variation in response to intra- and inter-specific competitions. Trees 33, 121–138 (2019). https://doi.org/10.1007/s00468-018-1763-3

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