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Background

Over the last decades, many forest simulators have been developed for the forests of individual European countries. The underlying growth models are usually based on national datasets of varying size, obtained from National Forest Inventories or from long-term research plots. Many of these models include country- and location-specific predictors, such as site quality indices that may aggregate climate, soil properties and topography effects. Consequently, it is not sensible to compare such models among countries, and it is often impossible to apply models outside the region or country they were developed for. However, there is a clear need for more generically applicable but still locally accurate and climate sensitive simulators at the European scale, which requires the development of models that are applicable across the European continent. The purpose of this study is to develop tree diameter increment models that are applicable at the European scale, but still locally accurate. We compiled and used a dataset of diameter increment observations of over 2.3 million trees from 10 National Forest Inventories in Europe and a set of 99 potential explanatory variables covering forest structure, weather, climate, soil and nutrient deposition.

Results

Diameter increment models are presented for 20 species/species groups. Selection of explanatory variables was done using a combination of forward and backward selection methods. The explained variance ranged from 10% to 53% depending on the species. Variables related to forest structure (basal area of the stand and relative size of the tree) contributed most to the explained variance, but environmental variables were important to account for spatial patterns. The type of environmental variables included differed greatly among species.

Conclusions

The presented diameter increment models are the first of their kind that are applicable at the European scale. This is an important step towards the development of a new generation of forest development simulators that can be applied at the European scale, but that are sensitive to variations in growing conditions and applicable to a wider range of management systems than before. This allows European scale but detailed analyses concerning topics like CO2 sequestration, wood mobilisation, long term impact of management, etc.


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Species-specific, pan-European diameter increment models based on data of 2.3 million trees

Show Author's information Mart-Jan Schelhaas1Geerten M Hengeveld23Nanny Heidema1Esther Thürig4Brigitte Rohner4Giorgio Vacchiano5Jordi Vayreda67John Redmond8Jarosław Socha9Jonas Fridman10Stein Tomter11Heino Polley12Susana Barreiro13Gert-Jan Nabuurs114( )
Wageningen University and Research, Wageningen Environmental Research (WENR), Droevendaalsesteeg 3, 6708PB Wageningen, The Netherlands
Wageningen University and Research, Biometris, Droevendaalsesteeg 1, 6708PB Wageningen, The Netherlands
Wageningen University and Research, Forest and Nature Conservation Policy Group, Droevendaalsesteeg 3, 6708PB Wageningen, The Netherlands
Swiss Federal Institute for Forest, Snow and Landscape Research WSL, Resource Analysis, Zuercherstrasse 111, CH-8903 Birmensdorf, Switzerland
European Commission, Joint Research Centre, Directorate D, Sustainable Resources Ƀ Bio-Economy Unit, Ispra, Italy
CREAF, 08193 Cerdanyola del Vallès, Spain
Univ Autònoma Barcelona, 08193 Cerdanyola del Vallès, Spain
Forest Service, Department of Agriculture, Food and the Marine, Johnstown Castle Estate, Co., Wexford, Ireland
Department of Biometry and Forest Productivity, Institute of Forest Resources Management, Faculty of Forestry, University of Agriculture in Krakow, Al. 29 Listopada 46, 31-425 Cracow, Poland
Swedish University of Agricultural Sciences (SLU), 901 83 Umeå, Sweden
Norwegian Institute of Bioeconomy Research, P.O. Box 115, N-1431 Ås, Norway
Thünen Institute, Institute of Forest Ecosystems, Alfred-Möller-Straße 1, Haus 41/42, 16225 Eberswalde, Germany
Forest Research Centre (CEF), Instituto Superior de Agronomia, Universidade de Lisboa, Tapada da Ajuda, 1349-017 Lisbon, Portugal
Wageningen University and Research, Forest Ecology and Forest Management Group, Droevendaalsesteeg 3, 6708PB, Wageningen, The Netherlands

Abstract

Background

Over the last decades, many forest simulators have been developed for the forests of individual European countries. The underlying growth models are usually based on national datasets of varying size, obtained from National Forest Inventories or from long-term research plots. Many of these models include country- and location-specific predictors, such as site quality indices that may aggregate climate, soil properties and topography effects. Consequently, it is not sensible to compare such models among countries, and it is often impossible to apply models outside the region or country they were developed for. However, there is a clear need for more generically applicable but still locally accurate and climate sensitive simulators at the European scale, which requires the development of models that are applicable across the European continent. The purpose of this study is to develop tree diameter increment models that are applicable at the European scale, but still locally accurate. We compiled and used a dataset of diameter increment observations of over 2.3 million trees from 10 National Forest Inventories in Europe and a set of 99 potential explanatory variables covering forest structure, weather, climate, soil and nutrient deposition.

Results

Diameter increment models are presented for 20 species/species groups. Selection of explanatory variables was done using a combination of forward and backward selection methods. The explained variance ranged from 10% to 53% depending on the species. Variables related to forest structure (basal area of the stand and relative size of the tree) contributed most to the explained variance, but environmental variables were important to account for spatial patterns. The type of environmental variables included differed greatly among species.

Conclusions

The presented diameter increment models are the first of their kind that are applicable at the European scale. This is an important step towards the development of a new generation of forest development simulators that can be applied at the European scale, but that are sensitive to variations in growing conditions and applicable to a wider range of management systems than before. This allows European scale but detailed analyses concerning topics like CO2 sequestration, wood mobilisation, long term impact of management, etc.

Keywords: Climate change, National forest inventory, European forests, Diameter increment model, Growth modelling

References(73)

Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control AC-19:716–723 https://doi.org/10.1109FTAC.1974.1100705

Alberdi I, Hernández L, Condés S, Vallejo R, Cañellas I (2016) Spain. In: Vidal C, Alberdi I, Hernández L, Redmond JJ (eds) National forest inventories - assessment of wood availability and use. Springer, Switzerland. https://doi.org/10.1007/978-3-319-44015-6_41
DOI

Andreassen K, Tomter SM (2003) Basal area growth models for individual trees of Norway spruce, Scots pine, birch and other broadleaves in Norway. Forest Ecol Manag 180:11–24. https://doi.org/10.1016/S0378-1127(02)00560-1

Anonymous (2015) The National Forest Inventory, results of cycle II (2010–2014) Biuro Urządzania Lasu i Geodezji Leśnej. http://www.buligl.pl/documents/10192/304500/WISL-2010-2014_en.pdf/9c32e9c7-911f-411f-af80-29e519a2574e. Accessed 21 Aug 2017
Barreiro S, McRoberts RE, Schelhaas MJ, Kändler G (2017) Forest inventory based projection systems for wood and biomass availability. Springer, Chamhttps://doi.org/10.1007/978-3-319-56201-8
DOI

Barreiro S, Schelhaas MJ, Kändler G, Antón-Fernández C, Colin A, Bontemps J-D, Alberdi I, Cóndes S, Dumitru M, Ferezliev A, Fisher C, Gasparini P, Gschwantner T, Kindermann G, Kjartansson B, Kovácsevics P, Kucera M, Lundström A, Marin G, Mozgeris G, Nord-Larsen T, Packalen T, Redmond J, Sacchelli S, Sims A, Snorrason A, Stoyanov N, Thürig E, Wikberg P-E (2016) Overview of methods and tools for evaluating future woody biomass availability in European countries. Ann Forest Sci 73(4):823–837. https://doi.org/10.1007/s13595-016-0564-3

Bitterlich W (1952) Die Winkelzählprobe: Ein optisches Meßverfahren zur raschen Aufnahme besonders gearteter Probeflächen für die Bestimmung der Kreisflächen pro Hektar an stehenden Waldbeständen. Forstwissenschaftliches Centralblatt 71(7):215–225 https://doi.org/10.1007FBF01821439

Camerano P, Gottero F, Terzuolo PG, Varese P (2008) Tipi forestali del Piemonte. Regione Piemonte, Torino, p 216
Camerano P, Terzuolo PG, Varese P (2007) I tipi forestali della Valle d'Aosta. Compagnia delle Foreste, Arezzo, p 240

Charru M, Seynave I, Hervé J-C, Bertrand R, Bontemps J-D (2017) Recent growth changes in western European forests are driven by climate warming and structured across tree species climatic habitats. Ann Forest Sci 74(2):33. https://doi.org/10.1007/s13595-017-0626-1

Cienciala E, Russ R, Šantrůčková H, Altman J, Kopáček J, Hůnová I, Štěpánek P, Oulehle F, Tumajer J, Ståhl G (2016) Discerning environmental factors affecting current tree growth in Central Europe. Sci Total Environ 573:541–554. https://doi.org/10.1016/j.scitotenv.2016.08.115

COSTE43 (2011) Harmonisation of National Inventories in Europe : techniques for common reporting. http://www.cost.eu/COST_Actions/fps/E43. Accessed 21 Aug 2017

Duncker P, Barreiro SM, Hengeveld GM, Lind T, Mason WL, Ambrozy S, Spiecker H (2012) Classification of forest management approaches: a new methodological framework and its applicability to European forestry. Ecol Soc 17(4):51. https://doi.org/10.5751/ES-05262-170451

Dunger K, Petersson H, Barreiro S, Cienciala E, Colin A, Hylen G, Kusar G, Oehmichen K, Tomppo E, Tuomainen T, Ståhl G (2012) Harmonizing greenhouse-gas reporting from European forests – case examples and implications for EU level reporting. For Sci 58:248–256

FAO (2015) Global Forest Resources Assessment 2015. Food and Agricultural Organisation of the United Nations, Rome
Forest Europe (2015) State of Europe's forests 2015. Ministerial Conference on the Protection of Forests in Europe, Spain
Fridman J, Holm S, Nilsson M, Nilsson P, Ringvall AH, Ståhl G (2014) Adapting National Forest Inventories to changing requirements – the case of the Swedish National Forest Inventory at the turn of the 20th century. Silva Fenn.https://doi.org/10.14214/sf.1095
DOI

Hasenauer H, Monserud RA (1997) Biased predictions for tree height increment models developed from smoothed 'data'. Ecol Model 98:13–22 https://doi.org/10.1016FS0304-3800896901933-3

Hector A, Bagchi R (2007) Biodiversity and ecosystem multifunctionality. Nature 448:188–190

Hengel T, Mendes de Jesus J, RA MM, Batjes NH, GBM H, Ribeiro E, Samuel-Rosa A, Kempen B, JGB L, Walsh MG, Ruiperez Gonzalez M (2014) SoilGrids1km — global soil information based on automated mapping. PlosOne https://doi.org/10.1371/journal.pone.0105992
DOI

Hengeveld GM, Nabuurs GJ, Didion M, van den Wyngaert I, Clerkx APPM, Schelhaas MJ (2012) A forest management map of European forests. Ecol Soc 17(4):53. https://doi.org/10.5751/ES-05149-170453

Hervé JC (2016) France. In: Vidal C, Alberdi I, Hernández L, Redmond JJ (eds) National forest inventories - assessment of wood availability and use. Springer, Switzerland. qzhttps: //doi.org/10.1007/978-3-319-44015-6_20https://doi.org/10.1007/978-3-319-44015-6_20
DOI

Hijmans RJ, Cameron SE, Parra JL, Jones PG, Jarvis A (2005) Very high resolution interpolated climate surfaces for global land areas. Int J Climatol 25:1965–1978 https://doi.org/10.1002Fjoc.1276

Hökkä H, Alenius V, Penttilä T (1997) Individual-tree basal area growth models for Scots pine, pubescent birch and Norway spruce on drained peatlands in Finland. Silva Fenn 31:161–178 https://doi.org/10.14214Fsf.a8517

Köhl M, Traub B, Päivinen R (2000) Harmonisation and standardisation in multi-national environmental statistics – mission impossible? Environm Monit Assess 63:361–380 https://doi.org/10.1023FA%3A1006257630216

Korf V (1939) Prispevek k matematicke definici vzrus-toveho zakona hmot lesnich porostu. Lesnicka Pracr 18:339–379

Kramer K, Degen B, Buschbom J, Hickler T, Thuiller W, Sykes MT, de Winter W (2010) Modelling exploration of the future of European beech (Fagus sylvatica L.) under climate change—range, abundance, genetic diversity and adaptive response. For Ecol Man 259:2213–2222

Lanz A, Abegg M, Brändli U, Camin P, Cioldi F, Ginzler C, Fischer C (2016) Switzerland. In: Vidal C, Alberdi I, Hernández L, Redmond JJ (eds) National forest inventories - assessment of wood availability and use. Springer, Switzerland. https://doi.org/10.1007/978-3-319-44015-6_41
DOI

Laubhann D, Sterba H, Reinds GJ, De Vries W (2009) The impact of atmospheric deposition and climate on forest growth in European monitoring plots: an individual tree growth model. Forest Ecol Manag 258:1751–1761. https://doi.org/10.1016/j.foreco.2008.09.050

Lindner M, Fitzgerald JB, Zimmermann NE, Reyer C, Delzon S, van der Maaten E, Schelhaas MJ, Lasch P, Eggers J, van der Maaten-Theunissen M, Suckow F, Psomas A, Poulter B, Hanewinkel M (2014) Climate change and European forests: what do we know, what are the uncertainties, and what are the implications for forest management? J Environ Manag 146:69–83. https://doi.org/10.1016/j.jenvman.2014.07.030

MacFarlane DW, Green EJ, Brunner A, Burkhart HE (2002) Predicting survival and growth rates for individual loblolly pine trees from light capture estimates. Can J For Res 32:1970–1983 https://doi.org/10.1139Fx02-125

McRoberts RE, Hahn JT, Hefty GJ, Van Cleve JR (1994) Variation in forest inventory field measurements. Can J For Res 24:1766–1770. https://doi.org/10.1139/x94-228

McRoberts RE, Tomppo E, Schadauer K, Vidal C, Ståhl G, Chirici G, Lanz A, Cienciala E, Winter S, Brad Smith W (2009) Harmonizing National Forest Inventories. J Forest 107:179–187

Mehtätalo L (2005) Height-diameter models for Scots pine and birch in Finland. Silva Fenn 39(1):55–66 https://doi.org/10.14214Fsf.395

Metzger M, Bunce RGH, Jongman RHG, Sayre R, Trabucco A, Zomer R (2013) A high-resolution bioclimate map of the world: a unifying framework for global biodiversity research and monitoring. Glob Ecol Biogeogr. https: //doi.org/10.1111/geb.12022https://doi.org/10.1111/geb.12022
DOI

Monserud RA, Sterba H (1996) A basal area increment model for individual trees growing in even- and uneven-aged forest stands in Austria. Forest Ecol Manag 80:57–80 https://doi.org/10.1016F0378-1127895903638-5

Morin X, Fahse L, Scherer-Lorenzen M, Bugmann H (2011) Tree species richness promotes productivity in temperate forests through strong complementarity between niches. Ecol Lett 14(12):1211–1219 https://doi.org/10.1111Fj.1461-0248.2011.01691.x

Muys B, Den Ouden J, Verheyen K (2010) Ch 4. Groei. In: Den Ouden, Muys, Mohren, Verheyen (eds) Bosecologie en Bosbeheer. Acco, Leuven/Den Haag, pp 75–91

Nabuurs GJ, van Brusselen J, Pussinen A, Schelhaas MJ (2006) Future harvesting pressure on European forests. Eur J For Res 126:391–400 https://doi.org/10.1007Fs10342-006-0158-y

Nilsson S, Sallnäs O, Duinker P (1992) A report on the IIASA forest study: future forest resources of western and Eastern Europe. IIASA, The Parthenon Publishing Group, Carnforth
Oldenburger J, Schoonderwoerd H (2016) The Netherlands. In: Vidal C, Alberdi I, Hernández L, Redmond JJ (eds) National forest inventories - assessment of wood availability and use. Springer, Switzerland. https://doi.org/10.1007/978-3-319-44015-6_31
DOI

Panagos P, Van Liedekerke M, Jones A, Montanarella L (2012) European soil data Centre: response to European policy support and public data requirements. Land Use Policy 29:329–338. https://doi.org/10.1016/j.landusepol.2011.07.003 https://doi.org/10.1016Fj.landusepol.2011.07.003

Peng C (2000) Growth and yield models for uneven-aged stands: past, present and future. Forest Ecol Manag 132:259–279 https://doi.org/10.1016FS0378-1127899900229-7

Pilli R, Grassi G, Kurz WA, Viñas RA, Guerrero NH (2016) Modelling forest carbon stock changes as affected by harvest and natural disturbances. I. Comparison with countries' estimates for forest management. Carbon Balance Manage 11: 5. https://doi.org/10.1186/s13021-016-0047-8
DOI

Pukkala T (1989) Predicting diameter growth in an even-aged Scots pine stand with a spatial and a non-spatial model. Silva Fenn 23:101–116

Quicke HE, Meldahl RS, Kush JS (1994) Basal area growth of individual trees: a model derived from a regional longleaf pine growth study. For Sci 40:528–542

R Core Team (2014) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna. http:www.R-project.org/. Accessed 21 Aug 2017
Redmond JJ (2016) Ireland. In: Vidal C, Alberdi I, Hernández L, Redmond JJ (eds) National forest inventories - assessment of wood availability and use. Springer, Switzerland. https://doi.org/10.1007/978-3-319-44015-6_25
DOI

Richards FJ (1959) A flexible growth function for empirical use. J Exp Bot 10:290–300 https://doi.org/10.1093FjxbF10.2.290

Riedel T, Polley H, Klatt S (2016) Germany. In: Vidal C, Alberdi I, Hernández L, Redmond JJ (eds) National forest inventories - assessment of wood availability and use. Springer, Switzerland. https: //doi.org/10.1007/978-3-319-44015-6_21https://doi.org/10.1007/978-3-319-44015-6_21
DOI

Ritchie MW, Hann DW (1986) Development of a tree height growth model for Douglas-fir. Forest Ecol Manag 15(2):135–145. https://doi.org/10.1016/0378-1127(86)90142-8

Schelhaas MJ, Clerkx APPM, Daamen WP, Oldenburger JF, Velema G, Schnitger P, Schoonderwoerd H, Kramer H (2014) Zesde Nederlandse Bosinventarisatie; Methoden en basisresultaten. Alterra rapport 2545. Alterra, Wageningen University & Research centre, Wageningen. http://edepot.wur.nl/307709
Schelhaas MJ, Nabuurs GJ, Hengeveld GM, Reyer C, Hanewinkel M, Zimmermann NE, Cullmann D (2015) Alternative forest management strategies to account for climate change-induced productivity and species suitability changes in Europe. Region Environm Change. https://doi.org/10.1007/s10113-015-0788-z
DOI
Schelhaas MJ, Nabuurs GJ, Verkerk PJ, Hengeveld GM, Packalen T, Sallnäs O, Pilli R, Grassi G, Forsell N, Frank S, Gusti M, Havlik P (2017) Forest resource projection tools at the European level. Chapter 4. In: Barreiro S, Schelhaas MJ, McRoberts RE, Kändler G (eds) Managing Forest Ecosystems, vol 29. Springer, Cham, pp 49–68https://doi.org/10.1007/978-3-319-56201-8_4
DOI

Schröder J, Soalleiro RR, Alonso GV (2002) An age-independent basal area increment model for maritime pine trees in Northwestern Spain. Forest Ecol Manag 157:55–64 https://doi.org/10.1016FS0378-1127800900657-5

Seidl R, Baier P, Rammer W, Schopf A, Lexer MJ (2007) Modelling tree mortality by bark beetle infestation in Norway spruce forests. Ecol Model 206:383–399 https://doi.org/10.1016Fj.ecolmodel.2007.04.002

Stage AR (1963) A mathematical approach to polymorphic site index curves for grand fir. For Sci 9:167–180

Sterck F, Steppe K, Samson R, Lemeur R (2010) Ch 3. Fysiologie. In: Ouden JD, Muys B, Mohren GMJ, Verheyen K (eds) Bosecologie en Bosbeheer. Acco, Leuven/Den Haag, pp 63–74
Tomé J, Tomé M, Barreiro S, Paulo JA (2006) Modelling tree and stand growth with growth functions formulated as age independent difference equations. Can J For Res. https: //doi.org/10.1139/x06-065
Tomppo E, Gschwantner T, Lawrence M, McRoberts RE (2010) National forest inventories: pathways for common reporting. Springer, Dordrechthttps://doi.org/10.1007/978-90-481-3233-1
DOI
Tomter SM, Hylen G, Nilsen JE (2010) Norway country report. In: Tomppo E, Gschwantner T, Lawrence M, McRoberts RE (eds) National Forest Inventories: pathways for common reporting. Springer, Netherlands

Trabucco A, Zomer RJ, Bossio DA, Van Straaten O, Verchot LV (2008) Climate change mitigation through afforestation/reforestation: a global analysis of hydrologic impacts with four case studies. Agric Ecosyst Environ 126:81–97 https://doi.org/10.1016Fj.agee.2008.01.015

Vanclay JK (1994) Modelling forest growth and yield: applications to mixed tropical forest. CAB International, Wallingford, p 312
Verkerk PJ (2015) Assessing impacts of intensified biomass removal and biodiversity protection on European forests. Dissertationes Forestales 197: 50https://doi.org/10.14214/df.197
DOI

Verkerk PJ, Antilla P, Eggers J, Lindner M, Asikainen A (2011) The realisable potential supply of woody biomass from forests in the European Union. Forest Ecol Manag 261:2007–2015 https://doi.org/10.1016Fj.foreco.2011.02.027

Verkerk PJ, Schelhaas MJ, Immonen V, Hengeveld GM, Kiljunen J, Lindner M, Nabuurs GJ, Suominen T, Zudin S (2016) Manual for the European Forest Information Scenario model (EFISCEN 4.1). EFI Technical Report 99, European Forest Institute, Joensuu, p 49

Winsor CP (1932) The Gompertz curve as a growth curve. PNAS 18(1):1–8

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

Zar JH (1996) Biostatistical analysis, 3rd edn. Prentice Hall, Upper Saddle River, p 662

Zhang Y, Chen HYH, Reich PB (2012) Forest productivity increases with evenness, species richness and trait variation: a global meta-analysis. J Ecol 100(3):742–749 https://doi.org/10.1111Fj.1365-2745.2011.01944.x

Zhao D, Borders B, Wilson M, Rathbun SL (2006) Modeling neighborhood effects on the growth and survival of individual trees in a natural temperate species-rich forest. Ecol Model 196:90–102 https://doi.org/10.1016Fj.ecolmodel.2006.02.002

Zianis D, Muukkonen P, Mäkipää R, Mencuccini M (2005) Biomass and stem volume equations for tree species in Europe. Silva Fenn Monogr 4: 63https://doi.org/10.14214/sf.sfm4
DOI

Zomer RJ, Trabucco A, Bossio DA, Verchot LV (2008) Climate change mitigation: a spatial analysis of global land suitability for clean development mechanism afforestation and reforestation. Agric Ecosyst Environ 126:67–80

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Received: 28 August 2017
Accepted: 30 January 2018
Published: 03 April 2018
Issue date: September 2018

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© The Author(s) 2018.

Acknowledgements

Acknowledgements

We thank all the national forest inventories that have made their data available, in particular the French IGN, the German Bundeswald Inventur, IPLA SpA for the data in Piemonte and Regione Autonoma Valle d'Aosta for the data in Piemonte. We thank all the NFI field crews for their hard work that made this study possible. We thank Bert van der Werf for his contributions to the development of the procedures for data preparation and statistical analysis, and Raymond van der Wijngaart for his help with the weather data. We thank JRC/EU AGRI4CAST for making the weather data available. We thank the EU for funding the Cost Actions PROFOUND FP1304 and USEWOODFP1001 through which some of the data contacts were established.

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