Skip to main content
Log in

Modeling Analysis of the Productivity of Artificial Spruce Stands with Different Planting Schemes

  • Published:
Biology Bulletin Reviews Aims and scope Submit manuscript

Abstract

One way to increase the productivity of artificial forestation is to control the density and position of trees relative to each other. Thus, the optimal planting schemes to obtain the maximum stock of wood of a given diameter must be found. A simulation model was used for a comparative analysis of the productivity of spruce stands with different planting schemes. Rectangular and square planting patterns with different initial forest-stand densities are considered. The stock of small (trunk diameter 6–13 cm), medium (14–23 cm), and large (over 24 cm) wood was calculated with respect to the row spacing and the pitch of trees planted on a site 40 × 40 m in size. In the selection of the optimal planting scheme, it is taken into account that there are various seedlings that differ in competitiveness. It is shown that the square planting scheme is optimal when the initial number of seedlings is the same. The optimal distances between trees for the growth of small, medium, and large wood with a square planting pattern were 1.4 × 1.4 m, 2.4 × 2.4 m, and 4 × 4 m, respectively. The spruce stand reached the specified qualitative characteristics corresponding to small, medium, and large wood in 36, 68, and 155 years. Thus, it has been shown that different initial planting densities are required in order to obtain the maximum wood stock for different size classes: the larger the grown wood is, the lower is the optimal planting density.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.

Similar content being viewed by others

REFERENCES

  1. Berezovskaya, F.S. and Karev, G.P., Modeling of dynamics of wood stands, Sib. Lesn. Zh., 2015, no. 3, pp. 7–19.

  2. Fang, S., Xu, X., Lu, S., and Tang, L., Growth dynamics and biomass production in short-rotation poplar plantations: 6-year results for three clones at four spacings, Biomass Bioenergy, 1999, vol. 17, no. 5, pp. 415–425.

    Article  Google Scholar 

  3. GOST (State Standard) 17462-84: Forest Industry Production. Terms and Definitions, Moscow: Izd. Standartov, 2000.

  4. Grabarnik, P.Ya., Modeling of spatial structure of wood stands, in Modelirovanie dinamiki organicheskogo veshchestva v lesnykh ekosistemakh (Modeling of Organic Matter Dynamics in Forest Ecosystems), Moscow: Nauka, 2007, pp. 132–146.

  5. Karev, G.P. and Skomorovskii, Yu.I., Mathematical models of wood stand destruction, Lesovedenie, 1997, no. 4, pp. 14–20.

  6. Khil’mi, G.F., Teoreticheskaya biogeofizika lesa (Theoretical Biogeophysics of Forest), Moscow: Akad. Nauk SSSR, 1957.

  7. Kolobov, A.N., Modeling the spatio-temporal dynamics of wood communities: an individually oriented approach, Lesovedenie, 2014, no. 5, pp. 72–82.

  8. Kolobov, A.N. and Frisman, E.Ya., Individual-based model of spatio-temporal dynamics of mixed forest stands, Ecol. Complex, 2016, vol. 27, pp. 29–39.

    Article  Google Scholar 

  9. Kolobov, A.N. and Frisman, E.Ya., Evaluate the initial spatial structure and heterogeneity of the composition for spruce and larch stands on real data self-thinning of even-aged stands, Ecol. Complex, 2018, vol. 34, pp. 89–99.

    Article  Google Scholar 

  10. Koryakin, V.N., Spravochnik dlya ucheta lesnykh resursov Dal’nego Vostoka (Handbook for Registration of Forest Resources of Far East), Khabarovsk: Dal’nevost. Nauchno-Issled. Inst. Lesn. Khoz., 2010.

  11. Larocque, G.R., Performance and morphological response of the hybrid poplar DN-74 (Populus deltoids × nigra) under different spacings on a 4-year rotation, Ann. For. Sci., 1999, vol. 56, no. 4, pp. 275–287.

    Article  Google Scholar 

  12. Lesnaya entsiklopediya (Forest Encyclopedia), Vorob’ev, G.I., Ed., Moscow: Sovetskaya Entsiklopediya, 1986, vol. 2.

  13. Merzlenko, M.D. and Babich, N.A., Teoriya i praktika iskusstvennogo lesovosstanovleniya (Theory and Practice of Artificial Reforestation), Arkhangelsk: Sev. Fed. Univ., 2011.

  14. Pisarenko, A.I. and Merzlenko, M.D., Sozdanie iskusstevennykh lesov (Creation of Artificial Forests), Moscow: Agropromizdat, 1990.

  15. Priputina, I.V., Frolova, G.G., and Shanin, V.N., Computer-based selection of optimal planting schemes of forests, Komp’yut. Issled. Model., 2016a, vol. 8, no. 2, pp. 333–343.

    Google Scholar 

  16. Priputina, I.V., Frolova, G.G., Bykhovets, S.S., Shanin, V.N., Lebedev, V.G., and Shestibratov, K.A., Modeled productivity of forest plantations with different schemes of spatial distribution of trees, Matem. Biol. Bioinf., 2016b, vol. 11, no. 2, pp. 245–262.

    Article  Google Scholar 

  17. Reineke, L.H., Perfecting a stand-density index for even-aged forests, J. Agric. Res., 1933, vol. 46, no. 7, pp. 627–638.

    Google Scholar 

  18. Shutov, I.V., Maslakov, E.L., and Markova, I.A., Lesnye plantatsii: uskorennoe vyrashchivanie eli i sosny (Forest Plantations: Accelerated Growing of Spruce and Pine), Moscow: Lesnaya Prom-st’, 1984.

  19. Zagreev, V.V., Sukhikh, V.I., Shvidenko, A.Z., Gusev, N.N., and Moshkalev, A.G., Obshchesoyuznye normativy dlya taksatsii lesov (All-Union Standards for Forest Taxation), Moscow: Kolos, 1992.

Download references

Funding

This work was performed within the framework of the state assignment of the Institute for Comprehensive Analysis of Regional Problems of the Far East Branch of the Russian Academy of Sciences and with financial support from the Russian Foundation for Basic Research (project no. 18-04-00073 a).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. N. Kolobov or E. Ya. Frisman.

Ethics declarations

Conflict of interests. The authors declare that they have no conflicts of interest.

Statement on the welfare of humans or animals. This article does not contain any studies involving animals performed by any of the authors.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kolobov, A.N., Frisman, E.Y. Modeling Analysis of the Productivity of Artificial Spruce Stands with Different Planting Schemes. Biol Bull Rev 11, 293–302 (2021). https://doi.org/10.1134/S207908642103004X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S207908642103004X

Navigation