Abstract
Stand Density Control Diagram (SDCD) is a stand-level mathematical model, which describes the relationships between yield, density and mortality throughout all stages of stand development. The SDCD is primarily used to derive density control schedules by management objectives. The main objectives of the present study are to define a modified model of SDCD for application to Scots pine (Pinus sylvestris L.) and Austrian black pine (Pinus nigra Arn.) plantations in Bulgaria, to examine the fitness of the model with representative experimental data sets from plantations of both species and to present a way of direct application of the SDCDs for practical purposes. The constructed SDCDs characterize the spatial-temporal dynamics of the pine plantations in a broad range of densities, forest sites and growth stages from 4 to 26 (28) m of dominant height class. The full density lines were fixed with self-thinning exponents α = 1.69 and α = 1.75 for Scots pine and Austrian black pine, respectively, and the trajectories of natural thinning for 23 initial densities (444-40000/ha) were determined. A direct way for application of the SDCDs to the plantation management was designed to estimate the optimal initial densities for the maximum attainable final yield and large-size wood production by self-thinning stands.
Similar content being viewed by others
References
Aikman DP, Watkinson AR (1980) A model for growth and self-thinning in even-aged monocultures of plants. Ann Bot 45:419–427
Alexandrov A, Tsakov H, Genov K, Stojkov H, Tsankov G, Djorgov I, Tiholov B, Asparuhova E, Andonova E, Dakov A, Hristova H (2002) Project “Management of the forest and changes in the biodiversity of burnt forest areas”. Bulgarian–Swiss Forestry Program, “Sylvica” foundation
Ando T (1962) Growth analysis on the natural stands of Japanese red pine (Pinus densiflora Sieb. et Zucc.). II. Analysis of stand density and growth. Bull Gov Forest Exp Stn, Tokyo 147:45–77 (in Japanese with English summary)
Atanasov B (1963) Study on the age of canopy closing of the Austrian black pine plantations in relation to the choice of optimal density for forestation. Proc Forest Res Instit XII:147–170 (in Bulgarian)
Atanasov B (1964) Study on the age of canopy closing of the Scots pine plantations in relation to the choice of initial density. For Sci (Sofia, Bulgaria) 6:19–29 (in Bulgarian)
Bachvarov D (1978) An offer for practical implementation of scientific achievement: “The most appropriate initial density for Austrian black pine plantations on good sites”. Forest Research Institute of BAS, Sofia (in Bulgarian)
Beck D (1971) Height-growth patterns and site index of white pine in the southern Appalachians. For Sci 17:252–260
Begin E, Begin J, Belanger L, Rivest LP, Tremblay S (2001) Balsam fir self-thinning relationship and its constancy among different ecological regions. Can J For Res 31:950–959
Botev N (1989) Growth of European beech stands of different initial densities. Forestry (Sofia, Bulgaria) 7:7–9 (in Bulgarian)
Botev N (1990) The density of the European beech plantations. Forestry (Sofia, Bulgaria) 7:13–14 (in Bulgarian)
Clutter JL, Fortson JC, Pienaar LV, Brister GH, Bailey RL (1983) Timber management: a quantitative approach. John Wiley & Sons, NY, pp 65–66
Crow EL, Davis FA, Maxfield MW (1960) Statistical manual with examples taken from ordnance development. Dover publications Inc., NY, 165 pp
Draper NR, Smith H (1981) Applied regression analysis. John Wiley and Sons, Inc., NY, pp 86–93
Drew TJ, Flewelling JW (1977) Some recent Japanese theories of yield–density relationships and their application to Monterey pine plantations. For Sci 23:517–534
Drew TJ, Flewelling JW (1979) Stand density management: an alternative approach and its application to Douglas-fir plantations. For Sci 25:518–532
Gadow KV, Hui G (1999) Modelling forest development. Kluwer Academic Publishers, Dordrecht, pp 26–27
Gilmore DW, David AJ (2002) Current trends in management practices for European larch in North America. For Chron 78:822–829
Hagihara A (1998) Mathematical and biological considerations on yield and competition-density effects in self-thinning plant populations. Bull Fac Sci Univ Ryukyus 66:71–79
Hagihara A (1999) Theoretical considerations on the C-D effect in self-thinning plant populations. Res Popul Ecol 41:151–159
Hagihara A (2000) Time-trajectory of mean plant mass and density. Bull Fac Sci Univ Ryukyus 70:99–112
Hozumi K (1983) Ecological and mathematical considerations on self-thinning in even-aged pure stands. III. Effect of the linear growth factor on self-thinning and its model. Bot Mag Tokyo 96:171–191
Kikuzawa K (1999) Theoretical relationships between mean plant size, size distribution and self-thinning under one-sided competition. Ann Bot 83:11–18
Kostadinov K (1980) Density and productivity of plantations of Austrian black pine. Forestry (Sofia, Bulgaria) 7:5–7 (in Bulgarian)
Kostadinov K (1985) Optimal initial density of the forest plantations. For Forest Indust (Sofia, Bulgaria) 9:29–30 (in Bulgarian)
Kostov K, Bachvarov D, Palashev I, Lyapova J (1978) Method to derive and maintain optimal density for establishment of man made forest stands. Forest Research Institute of BAS, Sofia. Research report No 10255005 (in Bulgarian)
Kostov K (1960) Initial density in the nests for sowing plantations of red oak. Forestry (Sofia, Bulgaria) 5:16–21 (in Bulgarian)
Kostov K (1963) On some peculiarities in the growth of the common oak in relation to the stand composition and density. Proc Forest Res Instit XIII:5–27 (in Bulgarian)
Krastanov K, Belyakov P, Shikov K (1979) Study on the technical maturity of Scots pine plantations. For Sci (Sofia, Bulgaria) 5:3–21 (in Bulgarian)
Krastanov K, Belyakov P, Shikov K (1983) Volume and assortment tables for Scots pine plantations. In: Nedyalkov S, Rashkov R, Tashkov R (eds) Reference book in dedrobiometry. Zemizdat, Sofia, pp 57–69 (in Bulgarian)
Lyapova Y (1984) Growth of the Scotch pine at different initial densities. Forestry (Sofia, Bulgaria) 2:31–33 (in Bulgarian)
MacFarlane DW, Green EJ, Burkhart HE (2000) Population density influences assessment and application of site index. Can J For Res 30:1472–1475
Marinov I (1999) Investigation on erosion in forest ecosystems. Research report for the period 1996–1999. Forest Research Institute of BAS, Sofia (in Bulgarian)
Marinov I (2002) Stationary studies of hydrological and erosion processes in forest ecosystems. Research report for the period 2000–2002. Forest Research Institute of BAS, Sofia (in Bulgarian)
Marinov I, Mandev A, Grozeva M, Timousheva S, Markov I, Genov K (1997) Investigation on the hydrological effectiveness against erosion of the coniferous plantations in western Bulgaria. Report on the project with National forestry board. Forest Research Institute of BAS, Sofia (in Bulgarian)
Milev M, Iliev N (2003) Influence of the seed origin and the planting scheme in Scots pine plantations. I. Status, growth and productivity. In: Proceedings of the international scientific conference “50 years Forest University-Sofia” 1–2 April 2003, Sofia, vol 1, pp 51–54 (in Bulgarian)
Nedyalkov S, Krastanov K, Tsakov H (1983) Volume and assortment tables for Austrian black pine plantations. In: Nedyalkov S, Rashkov R, Tashkov R (eds) Reference book in dedrobiometry. Zemizdat, Sofia, pp 84–97 (in Bulgarian)
Newton PF (1997) Stand density management diagrams: review of their development and utility in stand-level management planning. For Ecol Manage 98:251–265
Newton PF, Weetman GF (1994) Stand density management diagram for managed black spruce stands. For Chron 70:65–74
Nishizono T, Inoue A, Iehara T (2002) Relationship between self-thinning exponent and relative spacing index for Cryptomeria japonica and Chamaecyparis obtusa stands. J For Plan 8:41–47
Payandeh B (1974) Formulated site index curves for major timber species in Ontario. For Sci 20:143–144
Penner M, Robinson C, Burgess D (2001) Pinus resinosa product potential following initial spacing and subsequent thinning. For Chron 77:129–139
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 80:449–458
Roubtsov VI (1969) Pine plantations in the wooded steppe. Moskva, Lesnaya promishlenost, (in Russian)
Shibuya M (1995) A simple and practical model for mean size-density trajectories of tree stands. J Jpn For Soc 77:247–253
Shibuya M, Haga N, Sasaki T, Kikuchi S, Haruki M, Noda M, Takahashi K, Matsuda K (2004) Stand and self-thinning dynamics in natural Abies stands in northern Hokkaido, Japan. Ecol Res 19:301–309
Shinozaki K, Kira T (1956) Intraspecific competition among higher plants. VII. Logistic theory of the C-D effect. J Inst Polytech, Osaka City Univ, Series D (Biology) 7:35–72
Shinozaki K, Kira T (1961) The C-D rule, its theory and practical uses. Intraspecific competition among higher plants X. J Biol, Osaka City Univ 12:69–82
Stankova T, Shibuya M, Hagihara A (2002) New method for density control of forest plantations. For Sci (Sofia, Bulgaria) 2:27–38
Stankova T, Shibuya M (2003) Adaptation of Hagihara’s competition-density theory for practical application to natural birch stands. For Ecol Manage 186:7–20
Stankova T, Stankov H, Shibuya M (2006) Mean-dominant height relationships for Scotch pine and Austrian black pine plantations in Bulgaria. Ecol Eng Environ Protect 2:59–66
Sturtevant BR, Bissonette JA, Long JN (1998) Stand density management diagram for mixed balsam fir: black spruce stands. North J Appl For 15:17–22
Tadaki Y (1963) The pre-estimating of stem yield based on the competition-density effect. Bull Gov Forest Exp Stn, Tokyo 154:1–19 (in Japanese with English summary)
Tsakov H (1984) Technical maturity of black pine plantations. For Sci (Sofia, Bulgaria) 6:24–38 (in Bulgarian)
Westoby M (1984) The self-thinning rule. Adv Ecol Res 14:167–225
Xue L, Ogawa K, Hagihara A, Liang S, Bai J (1999) Self-thinning exponents based on the allometric model in Chinese pine (Pinus tabulaeformis Carr.) and Prince Rupprecht’s larch (Larix principis-rupprechtii Mayr.) stands. For Ecol Manage 117:87–93
Yoda K, Kira T, Ogawa H, Hozumi K (1963) Self-thinning in overcrowded pure stands under cultivated and natural conditions. Intraspecific competition among higher plants XI. J Biol Osaka City Univ 14:107–129
Zahariev B, Sirakov H, Naumov Z, Rosnev B, Jorova K, Keremidchiev M, Gounev G (1983) Intensively managed forest plantations. Zemizdat, Sofia, pp 159–167 (in Bulgarian)
Zhelev I (1976) On the initial density of the pine plantations. For Sci (Sofia, Bulgaria) 4:13–23 (in Bulgarian)
Acknowledgements
The authors are grateful to the financing authorities of the present study: the Bulgarian–Swiss Forestry Program and the Bulgarian Ministry of Education and Science and to the work teams involved in performance of the fieldwork. Gratitude is also owed to the Forest Research Institute of the Bulgarian Academy of Sciences for the presented data from the research reports.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Stankova, T.V., Shibuya, M. Stand Density Control Diagrams for Scots pine and Austrian black pine plantations in Bulgaria. New Forests 34, 123–141 (2007). https://doi.org/10.1007/s11056-007-9043-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11056-007-9043-x