Application of some parametric and non-parametric criteria for grouping forests biometric data

Authors

DOI:

https://doi.org/10.31548/forest2019.03.004

Abstract

Assessment of forests’ growth and productivity requires reference materials for the description of dynamics of biometric indices to be developed for modal stands of the main forest-forming tree species. Yield tables are usually developed on forest typology, site index, and combined basis. Within the frame of this process, it is necessary to take into account natural pathways of development of forest stands since they directly affect the dynamics of biometric indices. Also, there is an inevitable stage of statistical justification of similarities or dissimilarities of certain groups of forest stands. Using a stand-level database of IA “Ukrderzhlisproekt”, we have carried out statistical analysis of the allocation of stand groups that are uniform by their composition and origin. By means of variance analysis methods applied to indices of mean height, mean diameter and growing stock per 1 ha, we have allocated uniform groups of stands for the prevailing coniferous and hardwood broadleaved tree species. To do this, we have employed several parametric and non-parametric criteria: the Kruskal-Wallis H test by ranks, the median criterion, and the Jonckheere-Terpstra test for an ordered alternative hypothesis within an independent samples (between-participants) design – for research of coniferous stands; the Student’s t-test and the Levene’s test – for research of softwood broadleaved stands. As a result, after analyzing the calculated indices as well as origin and tree species composition structure of the stands in question, we have allocated four groups of stands for pine and spruce, 2 – for birch and 2 – for black alder. Further research of growth and productivity of these stands linked with the development of yield tables for modal stands should be based on the allocated groups and dynamic site index scales.

Keywords: species composition of a stand, origin of a stand, analysis of variance, biometric indices, Student’s t-test, Kruskal-Wallis test, Jonckheere-Terpstra test, Levene’s test.

References

Bala, O. P. (2018). Foundation of the choice of the ranking factor for the creation of yield tables of modal hardwood tree species stands. The sustainable management of the forest complex and the balanced development of the urban landscapes, 14-15. Kyiv : National University of Life and Environment Science of Ukraine [in Ukrainian].

Bala, O. P., Terentiev, A. Yu., & Vasylyshyn, R. D. (2011). Comparative characteristic of stands indicators of modal beech stands in Carpathian region of Ukraine. Scientific reports of the National University of Life and Environment Science of Ukraine, 6 (28). Retrieved from http://www.nbuv.gov.ua/e-journals/Nd/2011_6/11bop.pdf [in Ukrainian].

Friedlin, B. & Gastwirth, J. L. (2000). Should the median test be retired from general use? The American Statistician, 54, 161-164. https://doi.org/10.1080/00031305.2000.10474539

Horbunova, A. A., Lemeshko, B. Yu., & Lemeshko, S. B. (2010). Criteria for testing hypotheses on the homogeneity of dispersions with other than normal distibution. Materials of the X International Conference "Actual Problems of Electronic Instrument Engineering", Novosibirsk, 36-41[in Russian].

Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41, 133-145.

https://doi.org/10.1093/biomet/41.1-2.133

Kalinin, S. I. (2002). Computer data processing for psychologists. Saint Petersburg: Rech [in Russian].

Kruskal, W. H., & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 260, 583-621. https://doi.org/10.1080/01621459.1952.10483441

Lakyda, P. I., & Bala, O. P. (2012). Actualization of growth parameters of artificial Oak stands of Forest-Steppe of Ukraine's. Korsun-Shevchenkivskyi: FOP Havryshenko V. M. [in Ukrainian].

Lakyda, P. I., Terentiev, A. Yu., & Vasylyshyn, R. D. (2012). Scots pine stands of artificial origin in Ukrainian Polissya - growth and productivity forecast. Korsun-Shevchenkivskyi: FOP Maydachenko I. S. [in Ukrainian].

Lakyda, P. I., & Aleksiiuk, I. L. (2017). Natural pine forest stands of Ukrainian Polissya: growth and productivity forecast. Korsun-Shevchenkivskyi: FOP Maydachenko I. S. [in Ukrainian].

Lakyda, P. I., & Atamanchuk, R. V. (2014). Forecast and productivity of modal birch stands in Ukrainian Polissya. Korsun-Shevchenkivskyi: FOP Havryshenko V. M. [in Ukrainian].

Lakyda, P. I., & Volodymyrenko, V. M. (2008). Artificial spruce stands of the Ukrainian Carpathians - growth and productivity forecast. Кyiv: ESC ІАЕ [in Ukrainian].

Levene, H. (1960). Robust tests for equality of variances. Contributions to Probability and Statistics: Stanford University Press, 278-292.

Mann, H. B., & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18, 50-60. https://doi.org/10.1214/aoms/1177730491

Nikitin, K. E., & Shvidenko, A. Z. (1978). Methods and techniques for processing forest information. Moscow: Forestry industry [in Russian].

Rudenko, V. M. (2012). Mathematical statistics. Кyiv: Center for Educational Literature [in Ukrainian].

Sidorenko, E. V. (2000). Methods of mathematical processing in psychology. Saint Petersburg: Rech [in Russian].

Sukhodolskii, H. V. (1972). Fundamentals of mathematical statistics for psychologists. Leningrad: LSU [in Russian].

Vasylyshyn, R. D. (2016). Forests of Ukrainian Carpathians - features of growth, biological and energy productivity. Kyiv: TOV "KOMPRINT" [in Ukrainian].

Zahreev, V. V. (1978). Geographic regularities of growth and productivity of forest stands. Moscow: Forest industry [in Russian].

Published

2019-10-04

Issue

Section

FORESTRY