Characterization of the structure, dynamics, and productivity of mixed-species stands: review and perspectives

European Journal of Forest Research

Volumn 135, Issue 1, 2016, Pages 23-49

  del Río, Miren ^a,b   Pretzsch, Hans ^c   Alberdi, Iciar ^a   Bielak, Kamil ^d   Bravo, Felipe ^b,e   Brunner, Andreas ^f   Condés, Sonia ^g   Ducey, Mark J ^h   Fonseca, Teresa ⁱ   von Lüpke, Nikolas ^j   Pach, Maciej ^k   Peric, Sanja ^l   Perot, Thomas ^m   Souidi, Zahera ⁿ   Spathelf, Peter ^o   Sterba, Hubert ^p   Tijardovic, Martina ^l   Tomé, Margarida ^q   Vallet, Patrick ^m   Bravo Oviedo, Andrés ^a,b  

^a INIA   (Spain)

^b UNIVERSITY OF VALLADOLID   (Spain)

^c TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^d WARSAW UNIVERSITY OF LIFE SCIENCES   (Poland)

^e UNIVERSIDAD DE VALLADOLID   (Spain)

^f NORWEGIAN UNIVERSITY OF LIFE SCIENCES   (Norway)

^g UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^h UNIVERSITY OF NEW HAMPSHIRE   (United States)

ⁱ UNIVERSITY OF TRÁS OS MONTES AND ALTO DOURO   (Portugal)

^j NORWEGIAN INSTITUTE OF BIOECONOMY RESEARCH   (Norway)

^k UNIVERSITY OF AGRICULTURE IN KRAKOW   (Poland)

^l CROATIAN FOREST RESEARCH INSTITUTE   (Croatia)

^m Cemagref   (France)

ⁿ UNIVERSITÉ DE MASCARA   (Algeria)

^o Fachhochschule Eberswalde   (Germany)

^p UNIVERSITY OF NATURAL RESOURCES AND LIFE SCIENCES   (Austria)

^q INSTITUTO SUPERIOR DE AGRONOMIA   (Portugal)

more..

Author keywords

Growth pattern; Maximum density; Mixing effect; Self and alien thinning; Site productivity indices; Stand structure indices

Indexed keywords

FOREST DYNAMICS; GROWTH RATE; SELF THINNING; STAND STRUCTURE; YIELD;

EID: 84955187919     PISSN: 16124669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10342-015-0927-6     Document Type: Review

References (210)

1. Adame P, Brandeis TJ, Uriarte M (2014) Diameter growth performance of tree functional groups in Puerto Rican secondary tropical forests. For Syst 23(1):52–63
2. Alberdi I, Cañellas I, Hernández L, Condés S (2013) A new method for the identification of old-growth trees in National Forest Inventories: application to Pinus halepensis Mill stands in Spain. Ann For Sci 70:277–285
3. Amoroso MM, Turnblom EC (2006) Comparing productivity of pure and mixed Douglas-fir and western hemlock plantations in the Pacific Northwest. Can J For Res 36:1484–1496
4. Assmann E (1953) Die Verlagerung der Höhenkurven von Plenterwaldflächen und ihre Ursachen. Allg Forst- u Jagdztg 124:175–177
5. Assmann E (1954) Die Standraumfrage und die Methodik von Mischbestandsuntersuchungen. Allg Forst- u Jagdztg 125:149–153
6. Assmann E (1967) Über einige Möglichkeiten, den Gefährdungsgrad und Pflegebedarf, die Holzqualität und geldwerte Leistung von Rein- und Mischbeständen günstig zu beeinflussen. Forstw Cbl 86:81–89
7. Assmann E (1970) The principles of forest yield study: studies in the organic production, structure, increment and yield of forest stands. Pergamon Press, Oxford
8. Barbati A, Salvati R, Ferrari B, Di Santo D, Quatrini A, Portoghesi L, Travaglini D, Iovino F, Nocentini S (2012) Assessing and promoting old-growthness of forest stands: lessons from research in Italy. Plant Biosyst 146(1):167–174
9. Barbeito I, Montes F, Cañellas I (2009) Evaluating the behaviour of vertical structure indices in Scots pine forests. Ann For Sci 66(710):1–10
10. Barbeito I, Collet C, Ningre F (2014) Crown responses to neighbour density and species identity in a young mixed deciduous stand. Trees 28:1751–1765
11. Begon M, Townsend CR, Harper JL (2006) Ecology: from individuals to ecosystems. Blackwell, Oxford
12. Belote RT, Prisley S, Jones RH, Fitzpatrick M, de Beurs K (2011) Forest productivity and tree diversity relationships depend on ecological context within mid-Atlantic and Appalachian forests (USA). For Ecol Manag 261(7):1315–1324
13. Berrill JP, O’Hara KL (2014) Estimating site productivity in irregular stand structures by indexing basal area or volume increment of the dominant species. Can J For Res 44(1):92–100
14. Bielak K, Dudzinska 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
15. Bielak K, Dudzińska M, Pretzsch H (2015) Volume growth of mixed-species versus pure stands: results from selected long-term experimental plots in Central Europe. Sylwan 159(1):22–35
16. Biging GS, Dobbertin M (1992) A comparison of distance-dependent competition measures for height and basal area growth of individual conifer trees. For Sci 38(3):695–720
17. Binkley D (2004) A hypothesis about the interaction of tree dominance and stand production through stand development. For Ecol Manag 190(2):265–271
18. Binkley D, Greene S (1983) Production in mixtures of conifers and red alder: the importance of site fertility and stand age. In: Ballard R, Gessel S (eds) IUFRO symposium on forest site and continuous productivity. US Dep Agric For Serv Gen Tech Rep PNW-163:112–117
19. Binkley D, Senock R, Bird S, Cole T (2003) Twenty years of stand development in pure and mixed stands of Eucalyptus saligna and nitrogen-fixing Falcataria mollucana. For Ecol Manag 182:93–102
20. Binkley D, Kashian DM, Boyden S, Kaye MW, Bradford JB, Arthur MA, Fornwalt PJ, Ryna MG (2006) Patterns of growth dominance in forests of the Rocky Mountains, USA. For Ecol Manag 236(2):193–201
21. Bollandsas OM, Buongiorno J, Gobakken T (2008) Predicting the growth of stands of trees of mixed species and size: a matrix model for Norway. Scand J For Res 23(2):167–178
22. Bolte A, Ammer C, Löf M, Madsen P, Nabuurs GJ, Schall P, Spathelf P, Rock J (2009) Adaptive forest management in central Europe: climate change impacts, strategies and integrative concept. Scand J For Res 24:473–482
23. Bongers F (2001) Methods to assess tropical rain forest canopy structure: an overview. Plant Ecol 153:263–277
24. Bontemps JD, Bouriaud O (2013) Predictive approaches to forest site productivity: recent trends, challenges and future perspectives. Forestry 87:109–128
25. Borders BE, Souter RA, Bailey RL, Ware KD (1987) Percentile based distributions characterize forest stand tables. For Sci 33:570–576
26. Bravo-Oviedo A, Pretzsch H, Ammer C, Andenmatten E, Barbati A, Barreiro S, Brang P, Bravo F, Coll L, Corona P, den Ouden J, Ducey MJ, Forrester DI, Giergiczny M, Jacobsen JB, Lesinski J, Löf M, Mason WL, Matovic B, Metslaid M, Morneau F, Motiejunaite J, O’Reilly C, Pach M, Ponette Q, del Río M, Short I, Skovsgaard JP, Soliño M, Spathelf P, Sterba H, Stojanovic D, Strelcova K, Svoboda M, Verheyen K, von Lüpke N (2014) European Mixed Forests: definition and research perspectives. For Syst 23:518–533
27. Brokaw NV, Lent RA (1999) Vertical structure. In: Hunter ML Jr (ed) Maintaining biodiversity in forest ecosystems. Cambridge University Press, Cambridge
28. Burkhart HE, Tomé M (2012) Modeling forest trees and stands. Springer, Dordrecht
29. Caspersen JP, Pacala SW (2001) Successional diversity and forest ecosystem function. Ecol Res 16:895–903
30. Charru M, Seynave I, Morneau F, Rivoire M, Bontemps JD (2012) Significant differences and curvilinearity in the self-thinning relationship of 11 temperate tree species assessed from forest inventory data. Ann For Sci 69:195–205
31. Chen HY, Klinka K, Mathey AH, Wang X, Varga P, Chourmouzis C (2003) Are mixed-species stands more productive than single-species stands: an empirical test of three forest types in British Columbia and Alberta. Can J For Res 33(7):1227–1237
32. Clapham AR (1936) Over-dispersion in grassland communities and the use of statistical methods in plant ecology. J Ecol 24:232–251
33. Clark J, Evans FC (1954) Distance to nearest neighbor as a measure of spatial relationships in populations. Ecology 35:445–453
34. Condés S, del Rio M, Sterba H (2013) Mixing effect on volume growth of Fagus sylvatica and Pinus sylvestris is modulated by stand density. For Ecol Manag 292:86–95
35. Coomes DA, Allen RB (2007) Mortality and tree-size distributions in natural mixed-age forests. J Ecol 95:27–40
36. Dale MRT (1999) Spatial pattern analysis in plant ecology. Cambridge University Press, New York
37. David FN, Moore PG (1954) Notes on contagious distributions in plant populations. Ann Bot Lond 18:47–53
38. De Camino R (1976) Zur Bestimmung der Bestandeshomogenität. Allgemeine Forst- und Jagdzeitung 147(2/3):54–58
39. Dean TJ, Baldwin VC (1996) The relationship between Reineke’s stand-density index and physical stem mechanics. For Ecol Manag 81:25–34
40. del Río M, Sterba H (2009) Comparing volume growth in pure and mixed stands of Pinus sylvestris and Quercus pyrenaica. Ann For Sci 66:502
41. Dirnberger GF, Sterba H (2014) A comparison of different methods to estimate species proportions by area in mixed stands. For Syst 23(3):534–546
42. Douglas JB (1975) Clustering and aggregation. Sankhya Ser B 37:398–417
43. Droessler TD, Burk TE (1989) A test of nonparametric smoothing of diameter distributions. Scand J For Res 4:407–415
44. Drössler L, Övergaard R, Ekö PM, Gemmel P, Böhlenius H (2015) Early development of pure and mixed tree species plantations in Snogeholm, southern Sweden. Scand J For Res 30(4):304–316
45. 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
46. Edgar CB, Burk TE (2001) Productivity of aspen forests in northeastern Minnesota, USA, as related to stand composition and canopy structure. Can J For Res 31:1019–1029
47. Eriksson H, Johansson U, Kiviste A (1997) A site-index model for pure and mixed stands of Betula pendula and Betula pubescens in Sweden. Scand J For Res 12(2):149–156
48. Faliński JB (1986) Vegetation dynamics in temperate lowland primeval forest. Ecological studies in Białowieża forest, Geobotany 8. Junk, Dordrecht
49. Fisher RA, Thornton HG, Mackenzie WA (1922) The accuracy of the plating method of estimating the density of bacterial populations. Ann App Biol 9:325–359
50. 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
51. Forrester DI, Albrecht AT (2014) Light absorption and light-use efficiency in mixtures of Abies alba and Picea abies along a productivity gradient. For Ecol Manag 328:94–102
52. Forrester DI, Pretzsch H (2015) On the strength of evidence when comparing ecosystem functions of mixtures with monocultures. For Ecol Manag. doi:10.1016/j.foreco.2015.08.016
53. Forrester DI, Kohnle U, Albrecht AT, Bauhus J (2013) Complementarity in mixed-species stands of Abies alba and Picea abies varies with climate, site quality and stand density. For Ecol Manag 304:233–242
54. Füldner K (1995) Zur Strukturbeschreibung in Mischbeständen. Forstarchiv 66:235–240
55. Gadow Kv (1993) Zur Bestandesbeschreibung in der Forsteinrichtung. Forst und Holz 48(21):602–606
56. Gadow Kv, Hui GY (2002) Characterizing forest spatial structure and diversity. In: Björk L (ed) Sustainable forestry in temperate regions. Proceedings of the SUFOR international workshop April 7–9, 2002 in Lund, Sweden, pp 20–30
57. Gadow Kv, Hui GY, Albert M (1998) Das Winkelmass - ein Strukturparameter zur Beschreibung der Individualverteilung in Waldbeständen. Centralbl ges Forstwesen 115(1):1–9
58. Gadow Kv, Zhang CY, Wehenkel C, Pommerening A, Corral-Rivas J, Korol M, Myklush S, Hui GY, Kiviste A, Zhao XH (2012) Forest structure and diversity. In: Pukkala T, Gadow Kv (eds) Continuous cover forestry. Book series managing forest ecosystems, vol 23. Springer, Berlin, pp 29–84
59. Gamfeldt L, Snäll T, Bagchi R, Jonsson M, Gustafsson L, Kjellander P, Ruiz-Jaen MC, Fröberg M, Stendahl J, Philipson CD (2013) Higher levels of multiple ecosystem services are found in forests with more tree species. Nat Commun 4:1340
60. Garber SM, Maguire DA (2004) Stand productivity and development in two mixed-species spacing trials in the central Oregon Cascades. For Sci 50:92–105
61. Garet J, Raulier F, Pothier D, Cumming SG (2012) Forest age class structures as indicators of sustainability in boreal forest: are we measuring them correctly? Ecol Indic 23:202–210
62. Getzin S, Dean C, He F, Trofymow JA, Wiegand K, Wiegand T (2006) Spatial patterns and competition of tree species in a Douglas-fir chronosequence on Vancouver Island. Ecography 29:671–682
63. Groot A, Adhikary S, Sharma M, Luckai N, Bell FW, Larocque GR (2014) Effect of species composition on the production rate and efficiency of young Picea glauca–Populus tremuloides forests. For Ecol Manag 315:1–11
64. Gül AU, Misir M, Misir N, Yavuz H (2005) Calculation of uneven-aged stand structures with the negative exponential diameter distribution and Sterb’s modified competition density rule. For Ecol Manag 214:212–220
65. Haara A, Maltamo M, Tokola T (1997) The K-nearest-neighbour method for estimating basal-area diameter distribution. Scand J For Res 12(2):200–208
66. Hanewinkel M (2004) Spatial patterns in mixed coniferous even-aged, uneven-aged and conversion stands. Eur J For Res 123:139–155
67. Hara T (1992) Effects of the mode of competition on stationary size distribution in plant populations. Ann Bot 69(6):509–513
68. Hara T (1993) Mode of competition and size-structure dynamics in plant communities. Plant Species Biol 8(2–3):75–84
69. Harper JL (1977) Population biology of plants. Academic Press, London
70. Hein S, Dhôte JF (2006) Effect of species composition, stand density and site index on the basal area increment of oak trees (Quercus sp) in mixed stands with beech (Fagus sylvatica L) in northern France. Ann For Sci 63:457–467
71. Helms JA (ed) (1998) The dictionary of forestry. Society of American Foresters, Bethesda
72. Huang S, Titus SJ (1993) An index of site productivity for uneven-aged or mixed-species stands. Can J For Res 23(3):558–562
73. Huber MO, Sterba H, Bernhard L (2014) Site conditions and definition of compositional proportion modify mixture effects in Picea abies–Abies alba stands. Can J For Res 44(10):1281–1291
74. Hui GY, Zhao XH, Zhao ZH, Kv Gadow (2011) Evaluating tree species spatial diversity based on neighborhood relationships. For Sci 57(4):292–300
75. Jactel H, Nicoll BC, Branco M, Gonzalez-Olabarria JR, Grodzki W, Långström B, Moreira F et al (2009) The influences of forest stand management on biotic and abiotic risks of damage. Ann For Sci 66(7):701
76. Jaehne S, Dohrenbusch A (1997) Ein Verfahren zur Beurteilung der Bestandesdiversität. Forstwissenshaftliches Centralblatt 116:333–345
77. Johann K (1993) DESER-Norm 1993 Normen der Sektion Ertragskunde im Deutschen Verband Forstlicher Forschungsanstalten zur Aufbereitung von waldwachstumskundlichen Dauerversuchen. Proc Dt Verb Forstl Forschungsanst, Sek Ertragskd, in Unterreichenbach-Kapfenhardt, pp 96–104
78. Katholnig L (2012) Growth dominance and Gini-Index in even-aged and in uneven-aged forests, Master thesis, University of Natural Resources and Applied Life Sciences, BoKu, Vienna, 67 p
79. Keller W (1995) Zur Oberhöhenberechnung in Mischbeständen aus standortskundlicher Sicht. Vorträge bei der Tagung d. Sektion Ertragskunde d. Deutschen Verbandes Forstl. Forshungsanst. Joachimstal
80. Kelty MJ (1992) Comparative productivity of monocultures and mixed stands. In: Kelty MJ, Larson BC, Oliver MJ (eds) The ecology and silviculture of mixed-species forests. Kluwer Academic Publishers, Dordrecht, pp 125–141
81. Kelty MJ, Cameron IR (1995) Plot designs for the analysis of species interactions in mixed stands. Commonw For Rev 74:322–332
82. Kennel R (1972) Die Buchendurchforstungsversuche in Bayern Forschber FFA Münschen, 7
83. Knapp E (1991) Zur Wuchsleistung der Unterbaubuche im ungleichaltrigen Kiefern-Buchen-Mischbestand vor und nach ihrer Übernahme als Hauptbestand auf Standorten des norostdeutschen Tieflandes. Bericht von der Jahrestagung 1991 der Sektion Ertragskunde im Deutschen Verband Forstlicher Forschungsanstalten in Treis-Karden/Mosel, pp 96–110
84. Knoke T, Ammer C, Stimm B, Mosandl R (2008) Admixing broadleaved to coniferous tree species: a review on yield, ecological stability and economics. Eur J For Res 127:89–101
85. Köhl M, Traub B, Päivinen R (2000) Harmonisation and standardisation in multi-national environmental statistics—mission impossible? Environ Monit Assess 63:361–380
86. Kolström M, Lindner M, Vilén T, Maroschek M, Seidl R, Lexer MJ, Netherer S, Kremer A, Delzon S, Barbati A, Marchetti M, Corona P (2011) Reviewing the science and implementation of climate change adaptation measures in European forestry. Forests 2:961–982
87. Körner C (2002) Ökologie. In: Sitte P, Weiler EW, Kadereit JW, Bresinsky A, Körner C (eds) Strasburger Lehrbuch für Botanik, 35th edn. Spektrum Akademischer Verlag, Heidelberg, Berlin, pp 886–1043
88. Kuuluvainen T, Penttinen A, Leinonen K, Nygren M (1996) Statistical opportunities for comparing stand structural heterogeneity in managed and primeval forests: an example from boreal spruce forest in southern Finland. Silva Fenna 30:315–328
89. Langhammer A (1971) Noen glimt fra blandingsskogen. Tidsskr Skogbruk 79:302–314
90. Langsæter A (1941) Om tynning i enaldret gran- og furuskog. Meddelelser fra Det norske skogforsøksvesen 8:131–216
91. Larson BC (1992) Pathways of development in mixed-species stands. In: Kelty MJ, Larson BC, Oliver MJ (eds) The ecology and silviculture of mixed-species forests. Kluwer Academic Publishers, Dordrecht, pp 3–10
92. Latham PA, Zuuring HR, Coble DW (1998) A method for quantifying vertical forest structure. For Ecol Manag 104:157–170
93. Lee WK, von Gadow K, Chung DJ, Lee JL, Shin MY (2004) DBH growth model for Pinus densiflora and Quercus variabilis mixed forests in central Korea. Ecol Model 176(1):187–200
94. Lei XD, Wang WF, Peng CH (2009) Relationships between stand growth and structural diversity in spruce-dominated forests in New Brunswick, Canada. Can J For Res 39(10):1835–1847
95. Leikola M (1999) Definition and classification of mixed forests, with a special emphasis on boreal forests. In: Olsthoorn AFM, Bartelink HH, Gardiner JJ, Pretzsch H, Hekhuis HJ, Franc A (eds) Management of mixed-species forest: silviculture and economics. Wageningen, DLO Institute of Forestry and Nature Research, pp 20–28
96. Lewandowski A, Pommerening A (1997) Zur Beschreibung der Waldstruktur – Erwartete und beobachtete Arten-Durchmischung. Forstw Cbl 116:129–139
97. 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 Manag 243(1):116
98. Liu C, Zhang L, Davis CJ, Solomon DS, Gove JH (2002) A finite mixture model for characterizing the diameter distributions of mixed-species forest stands. For Sci 48(4):653–661
99. Liu F, Li F, Zhang L, Jin X (2014) Modeling diameter distributions of mixed-species forest stands. Scand J For Res 29(7):653–663
100. Lloyd M (1967) Mean crowding. J Anim Ecol 36:1–30
101. Long JN, Daniel TW (1990) Assessment of growing stock in uneven-aged stands. West J Appl For 5:93–96
102. Lotka AJ (1932) Contribution to the mathematical theory of capture: I Conditions for capture. Proc Natl Acad Sci USA 18(2):172
103. MacArthur RH, MacArthur JW (1961) On bird species diversity. Ecology 42:594–598
104. MacFarlane DW, Green EJ, Burkhart HE (2000) Population density influences assessment and application of site index. Can J For Res 30(9):1472–1475
105. Magurran AE (1988) Ecological diversity and its measurement. Princeton University Press, Princeton
106. Maltamo M, Kangas A (1998) Methods based on k-nearest neighbor regression in the prediction of basal area diameter distribution. Can J For Res 28(8):1107–1115
107. McElhinny C, Gibbons P, Brack C, Bauhus J (2005) Forest and woodland stand structural complexity: its definition and measurement. For Ecol Manag 218:1–24
108. Menalled FD, Kelty MJ, Ewel JJ (1998) Canopy development in tropical tree plantations: a comparison of species mixtures and monocultures. For Ecol Manag 104:249–263
109. Mitscherlich G (1970) Wald, Wachstum und Umwelt. 1. Band, Form und Wachstum von Baum und Bestand. JD Sauerländer’s Verlag, Frankfurt am Main
110. Morisita M (1959) Measuring of the dispersion and analysis of distribution patterns. Mem Fac Sci Kyushu Univ Ser E Biol 2:215–235
111. Ngo Bieng MA, Perot T, de Coligny F, Goreaud F (2013) Spatial pattern of trees influences species productivity in a mature oak–pine mixed forest. Eur J For Res 132:841–850
112. Nieuwenhuis M (2000) Terminology of forest management. IUFRO World Series Vol 9-en IUFRO 40407 SilvaPlan and SilvaVoc
113. Nigh G (2002) Site index conversion equations for mixed trembling aspen and white spruce stands in northern British Columbia. Silva Fenn 36(4):789–797
114. O’Hara KL, Lähde E, Laiho O, Norokorpi Y, Saksa T (2001) Leaf area allocation as a guide to stocking control in multi-aged, mixed-conifer forests in southern Finland. Forestry 74:171–185
115. Oliver CD, Larson BC (1996) Forest stand dynamics. Wiley, New York
116. Oliver C, Boydak M, Segura G, Bare B (1999) Forest organization, management and policy. In: Hunter ML Jr (ed) Maintaining biodiversity in forest ecosystems. Cambridge University Press, Cambridge, pp 556–598
117. Pach M, Podlaski R (2015) Tree diameter structural diversity in Central European forests with Abies alba and Fagus sylvatica: managed versus unmanaged forest stands. Ecol Res 30(2):367–384
118. Palahí M, Pukkala T, Kasimiadis D, Poirazidis K, Papageorgiou AC (2008) Modelling site quality and individual-tree growth in pure and mixed Pinus brutia stands in north-east Greece. Ann For Sci 65(5):501
119. Paluch JG (2007) The spatial pattern of a natural European beech (Fagus sylvatica L)–silver fir (Abies alba Mill) forest: a patch-mosaic perspective. For Ecol Manag 253:161–170
120. Paquette A, Messier C (2011) The effect of biodiversity on tree productivity: from temperate to boreal forests. Glob Ecol Biogeogr 20:170–180
121. Parker GG, Brown MJ (2000) Forest canopy stratification: is it useful? Am Nat 155:473–484
122. Peterken GF (1996) Natural woodland: ecology and conservation in northern temperate regions. Cambridge University Press, Cambridge
123. Pielou EC (1959) The use of point to plant distances in the study of the pattern of plant populations. J Ecol 47:607–613
124. Pielou EC (1977) Mathematical ecology. Wiley, New York
125. Pinto PE, Gégout JC, Hervé JC, Dhôte JF (2008) Respective importance of ecological conditions and stand composition on Abies alba Mill dominant height growth. For Ecol Manag 255:619–629
126. Poage NJ, Marshall DD, McClellan MH (2007) Maximum stand density index of 40 western Hemlock-Sitka spruce stands on southeast Alaska. West J Appl For 22(2):99–104
127. Podlaski R, Roesch FA (2014) Modelling diameter distributions of two-cohort forest stands with various proportions of dominant species: a two-component mixture model approach. Math Biosci 249:60–74
128. Pommerening A (2002) Approaches to quantifying forest structures. Forestry 75(3):305–324
129. Pretzsch H (1995a) Zum Einfluss des Baumverteilungsmusters auf den Bestandeszuwachs. AFJZ 166(9/10):190–201
130. Pretzsch H (1995b) Analyse und Reproduktion räumlicher Bestandesstrukturen Methodische Überlegungen am Beispiel niedersächsischer Buchen-Lärchen-Mischbestände. Centralblatt für das gesamte Forstwesen 112(2):91–117
131. Pretzsch H (2002) Dichte und Wachstum in Rein- und Mischbeständen aus Fichte und Buche. Jahrestagung der Sektion Ertragskunde im Deutschen Verband Forstlicher Forschungsanstalten in Schwarzburg, Tagungsbericht, S 84–101
132. Pretzsch H (2003) The elasticity of growth in pure and mixed stands of Norway spruce (Picea abies [L] Karst) and common beech (Fagus sylvatica L). J For Sci 49:491–501
133. Pretzsch H (2005) Diversity and productivity in forests: evidence from long-term experimental plots. In: Scherer-Lorenzen M, Körner C, Schulze ED (eds) Forest diversity and function. Ecol Stud 176. Springer, Berlin, pp 41–64
134. Pretzsch H (2009) Forest dynamics, growth and yield. Springer, Berlin
135. Pretzsch H (2014) Canopy space filling and tree crown morphology in mixed-species stands compared with monocultures. For Ecol Manag 327:251–264
136. Pretzsch H, Biber P (2005) A re-evaluation of Reineke’s rule and stand density index. For Sci 51:304–320
137. 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
138. 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
139. Pretzsch H, Schütze G (2014) Size-structure dynamics of mixed versus pure forest stands. For Syst 23(3):560–572
140. Pretzsch H, Schütze G (2015) Effect of tree species mixing on the size structure, density and yield forest stands. Eur J For Res. doi:10.1007/s10342-015-0913-z
141. Pretzsch H, Biber P, Ďrský J (2002) The single tree based stand simulator SILVA Construction, application and evaluation. For Ecol Manag 162:3–21
142. Pretzsch H, Block J, Dieler J, Dong PH, Kohnle U, Nagel J, Spellmann H, Zingg A (2010) Comparison between the productivity of pure and mixed stands of Norway spruce and European been along an ecological gradient. Ann For Sci 67:712
143. Pretzsch H, Dieler J, Seifert T, Rötzer T (2012a) Climate effects on productivity and resource-use efficiency of Norway spruce (Picea abies [L] Karst) and European beech (Fagus sylvatica [L]) in stands with different spatial mixing patterns. Trees 26:1343–1360
144. Pretzsch H, Matthew C, Dieler J (2012b) Allometry of tree crown structure. Relevance for space occupation at the individual plant level and for self-thinning at the stand level. In: Matyssek R, Schnyder H, Oßwald W, Ernst D, Ch Munch J, Pretzsch H (eds) Growth and defence in plants. Ecol Stud 220. Springer, Berlin, pp 287–310
145. Pretzsch H, Bielak K, Block J, Bruchwald A, Dieler J, Ehrhart HP, Kohnle U, Nagel J, Spellmann H, Zasada M, Zingg A (2013) Productivity of mixed versus pure stands of oak (Quercus petraea (Matt) Liebl and Quercus robur L) and European beech (Fagus sylvatica L) along an ecological gradient. Eur J For Res 132(2):263–280
146. Pretzsch H, Biber P, von Gadow K (2015a) Ernst Assmann: a German pioneer in forest production ecology and quantitative silviculture. Eur J For Res 134(3):391–402
147. Pretzsch H, del Río M, Ammer Ch, Avdagic A, Barbeito I, Bielak K, Brazaitis G, Coll L, Dirnberger G, Drössler L, Fabrika M, Forrester DI, Godvod K, Heym M, Hurt V, Kurylyak V, Löf M, Lombardi F, Matović B, Mohren F, Motta R, den Ouden J, Pach M, Ponette Q, Schütze G, Schweig J, Skrzyszewski J, Sramek V, Sterba H, Stojanović D, Svoboda M, Vanhellemont M, Verheyen K, Wellhausen K, Zlatanov T, Bravo-Oviedo A (2015b) Growth and yield of mixed versus pure stands of Scots pine (Pinus sylvestris L) and European beech (Fagus sylvatica L) analysed along a productivity gradient through Europe. Eur J For Res 134(5):927–947
148. Prodan M (1968) Forest biometrics. Pergamon Press, Oxford
149. Puettmann KJ, Hibbs DE, Hann DW (1992) The dynamics of mixed stands of Alnus rubra and Pseudotsuga menziesii: extension of size-density analysis to species mixture. J Ecol 80(3):449–458
150. Reineke LH (1933) Perfecting a stand-density index for even-aged forests. J Agric Res 46:627–638
151. Reyes-Hernandez V, Comeau PG, Bokalo M (2013) Static and dynamic maximum size–density relationships for mixed trembling aspen and white spruce stands in western Canada. For Ecol Manag 289:300–311
152. 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 Manage 325:90–98
153. Ritchie M, Zhang J, Hamilton T (2012) Effects of stand density on top height estimation for ponderosa pine. West J Appl For 27(1):18–24
154. Rivoire M, Moguedec G (2012) A generalized self-thinning relationship for multi-species and mixed-size forests. Ann For Sci 69(2):207–219
155. Rötzer T (2013) Mixing patterns of tree species and their effects on resource allocation and growth in forest stands. Nova Acta Leopoldina NF 114:239–254
156. Scherer-Lorenzen M, Schulze ED, 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 9:53–70
157. Schütz J-Ph (1999) The principle of functioning of mixed fores stands, experience of temperate Central European forest conditions. In: Olsthoorn et al (ed) Management of mixed-species forest: silviculture and economics IBN Scientific Contributions 15, Wageningen, pp 219–234
158. Schwinning S, Weiner S (1998) Mechanisms determining the degree of size asymmetry in competition among plants. Oecologia 113:447–455
159. Seidel D, Leuschner C, Scherber C, Beyer F, Wommelsdorf T, Cashman MJ, Fehrmann L (2013) The relationship between tree species richness, canopy space exploration and productivity in a temperate broad-leaf mixed forest. For Ecol Manag 310:366–374
160. Shannon CE (1949) The mathematical theory of communication. In: Shannon CE, Weaver W (eds) The mathematical theory of communication. University of Illinois Press, Urbana, pp 3–91
161. Simpson EH (1949) Measurement of diversity. Nature 163:688
162. Skovsgaard JP, Vanclay JK (2008) Forest site productivity: a review of the evolution of dendrometric concepts for even-aged stands. Forestry 81(1):13–31
163. Skovsgaard, JP O’Connor, E Graversgaard, HC Hochbichler, E Mohni, C Nicolescu N, Niemistö, P Pelleri, F Spiecker, H Stefancik I, Övergaard R (2006) Procedures for forest experiments and demonstration plots. Scientific report from a COST E42 meeting in Denmark 28–30 Nov 2006
164. Smith DM (1986) The practice of silviculture. Wiley, New York
165. Staudhammer CL, LeMay VM (2001) Introduction and evaluation of possible indices of stand structural diversity. Can J For Res 31:1105–1115
166. Sterba H (1987) Estimating potential density from thinning experiments and inventory data. For Sci 33(4):1022–1034
167. Sterba H (1991) Zur Schätzung der Flächenanteile der Baumarten in Wuchsreihen. Centralbl. ges. Forstwesen 108(3):297–308
168. Sterba H (1996) Oberhöhendefinition in gleichaltrigen Mischbeständen. Schweiz Z Forstw 147:109–120
169. Sterba H (1998) The precision of species proportion by area when estimated by angle counts and yield tables. Forestry 71(1):25–32
170. Sterba H, Monserud RA (1993) The maximum density concept applied to uneven-aged mixed-species stands. For Sci 39:432–452
171. Sterba H, del Río M, Brunner A, Condes S (2014) Effect of species proportion definition on the evaluation of growth in pure vs mixed stands. For Syst 23(3):547–559
172. Szwagrzyk J, Czerwczak M (1993) Spatial patterns of trees in natural forests of East-Central Europe. J Veg Sci 4:469–476
173. Szwagrzyk J, Gazda A (2007) Above-ground standing biomass and tree species diversity in natural stands of Central Europe. J Veg Sci 18(4):555–562
174. Temesgen H, Gadow Kv (2004) Generalised height-diameter models—an application for major tree species in complex stands of interior British Columbia. Eur J For Res 123:45–51
175. Toïgo M, Vallet P, Perot T, Bontemps JD, Piedally C, Courbaud B (2015) Overyielding in mixed forests decreases with site productivity. J Ecol 103:502–512
176. Tomé J, Tomé M, Barreiro S, Paulo JA (2006) Age-independent difference equations for modelling tree and stand growth. Can J For Res 36:1621–1630
177. Trasobares A, Pukkala T, Miina J (2004a) Growth and yield model for uneven-aged mixtures of Pinus sylvestris L and Pinus nigra Arn in Catalonia, north-east Spain. Ann For Sci 61:9–24
178. Trasobares A, Tomé M, Miina J (2004b) Growth and yield model for Pinus halepensis Mill in Catalonia, north-east Spain. For Ecol Manag 203:49–62
179. Vallet P, Perot T (2011) Silver fir stand productivity is enhanced when mixed with Norway spruce: evidence based on large-scale inventory data and a generic modelling approach. J Veg Sci 22(5):932–942
180. van Soest J, Ayral P, Schober R, Hummel FC (1965) The standardization of symbols in forest mensuration. International Union of Forestry Research Organizations Approved by IUFRO 1956, originally published 1959, and reprinted 1965 by University of Maine as Technical Bulletin no 15 of Maine Agricultural Experiment Station
181. Vanclay JK (1992) Assessing site productivity in tropical moist forests: a review. For Ecol Manag 54:257–287
182. Vanclay JK (1994) Modelling forest growth and yield: applications to mixed tropical forests. CAB International, Wallingford
183. Vanclay JK (2006) Experiment designs to evaluate inter- and intra-specific interactions in mixed plantings of forest trees. For Ecol Manag 233:366–374
184. Vanclay JK, Henry NB (1988) Assessing site productivity of indigenous cypress pine forest in southern Queensland. Commonw For Rev 67:53–64
185. Vandermeer J (1989) The ecology of Intercropping. Cambrige University Press, Cambridge
186. Varga P, Chen HYH, Klinka K (2005) Tree-size diversity between single- and mixed-species stands in three types in western Canada. Can J For Res 35:593–601
187. Vilà M, Inchausti P, Vayreda J, Barrantes O, Gracia C, Ibáñez JJ, Mata T (2005) Confounding factors of the association between tree diversity and stemwood production. In: Scherer-Lorenzen M, Körner C, Schulze ED (eds) Forest diversity and function. Ecol Stud 176. Springer, Berlin, pp 65–86
188. Vilà M, Vayreda J, Comas L, Ibáñez JJ, Mata T, Obón B (2007) Species richness and wood production: a positive association in Mediterranean forests. Ecol Let 10:241–250
189. 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
190. Volterra V (1926) Fluctuations in the abundance of a species considered mathematically. Nature 118:558–560
191. von Oheimb G, Westphal Ch, Tempel H, Härdtle W (2005) Structural pattern of a near-natural beech forest (Fagus sylvatica) (Serrahn, north-east Germany). For Ecol Manag 212:253–263
192. Vospernik S, Sterba H (2001) Neue Methoden zum Bonitieren. Österr Forstzeitung 112:18–19
193. Vospernik S, Sterba H (2014) Do competition-density rule and self-thinning rule agree? Ann For Sci 72(3):379–390
194. Waskiewicz J, Kenefic L, Weiskittel A, Seumour R (2013) Species mixture effects in northern red oak-eastern white pine stands in Maine, USA. For Ecol Manag 298:71–81
195. Weiner J (1990) Asymmetric competition in plant populations. Trends Ecol Evol 5(11):360–364
196. Weiner J, Freckleton RP (2010) Constant final yield. Ann Rev Ecol Evol Syst 41:173–192
197. Weiskittel AR, Hann DW, Hibbs DE, Lam TY, Bluhm AA (2009) Modeling top height growth of red alder plantations. For Ecol Manag 258:323–331
198. Weller DE (1987) A reevaluation of the -3/2 power rule of plant self-thinning. Ecol Monogr 57(1):23
199. Whittaker RJ (2010) Meta-analyses and mega-mistakes: calling time on meta-analysis of the species richness–productivity relationship. Ecology 91:2522–2533
200. Wiedemann E (1951) Ertragskundliche und waldbauliche Grundlagen der Forstwirtschaft. JD Sauerländer‘s Verlag, Frankfurt am Main
201. 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
202. Woodall CW, D’Amato AW, Bradford JB, Finley AO (2011) Effects of stand and inter-specific stocking on maximizing standing tree carbon stocks in the eastern United States. For Sci 57(5):365–378
203. Zeide B (1985) Tolerance and self-tolerance of trees. For Ecol Manag 13:149–166
204. Zeide B (2001) Thinning and growth: a full turnaround. J For 99(1):20–25
205. Zenner EK, Hibbs D (2000) A new method for modeling the heterogeneity of forest structure. For Ecol Manag 129:75–87
206. Zenner EK, Peck JE, Hobi ML, Commarmot B (2015) The dynamics of structure across scale in a primaeval European beech stand. Forestry 88:180–189
207. Zhang L, Bi H, Gove JH, Heath LS (2005) A comparison of alternative methods for estimating the self-thinning boundary line. Can J For Res 35:1507–1514
208. 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
209. Ziegler SS (2000) A comparison of structural characteristics between old-growth and postfire second-growth hemlock–hardwood forests in Adirondack Park, New York, USA. Glob Ecol Biogeogr 9:373–389
210. Zingg A (1994) Top height in mixed stands. Their definition and calculation. In: Costa MEP, Preuhsler T (eds) Mixed stands research plots, measurements and results, models. Universidade Tecnica de Lisboa, Instituto Superior de Agronomia, Lisboa, pp 67–80