Generic Model of Willow Stem Volume: A Meta-Analysis
DOI:
https://doi.org/10.37482/0536-1036-2021-3-49-58Keywords:
Salix L. genus, stem volume, generic model, meta-analysis, regression analysisAbstract
Current scenarios of the consequences of global warming stimulate research on the carbon-depositing capacity of vegetation cover. The stem is the main part of the tree biomass, and the accuracy of its volume assessment determines the possibility of correct monitoring and forecasting of forest resources. In the Russian forest management system, willow was not among the main forest-forming species, and therefore there was no need to develop valuation standards for it. However, due to the increased relevance of assessing the carbon-deposing function of Russian forests and the requirement to take into account the contribution to the carbon balance of all types of vegetation, there is a necessity to develop such standards. The solution can be found in the development of a generic model (or table) that takes into
account the morphology of willows within the Salix L. genus and is based on data published in different regions and countries. The object of our research is data on the volume of willow stems, which is published and freely available in Russia, Kazakhstan, Bulgaria, and Norway in the form of tables or regression models. However, the extent to which each local model is applicable in other regions is unknown. To resolve this uncertainty, we used meta-analysis as a statistical procedure that combines the results of several independent studies in order to find a common pattern. As a result, we obtained a generic model of stem volume for the Salix genus, which is characterized by a high coefficient of determination and can be applied to estimate the stem volume of any species of this genus with minimum deviations from the calculated values. The results of the work are aimed at improving the accuracy of accounting deciduous stands during forest management and monitoring activities, valuation of stands on permanent and temporary trial plots. The implementation of unified standards for the use, reproduction, conservation and protection of willow stands with all the diversity of its species will solve a number of practical issues.
For citation: Usoltsev V.А., Paramonov А.А., Tretyakov S.V., Koptev S.V., Tsepordey I.S. Generic Model of Willow Stem Volume: A Meta-Analysis. Lesnoy Zhurnal [Russian Forestry Journal], 2021, no. 3, pp. 49–58. DOI: 10.37482/0536-1036-2021-3-49-58
Downloads
References
Горобец А.И. Продуктивность естественных ценозов и перспективы плантационного выращивания ивы в Центральной лесостепи: автореф. дис. … д-ра биол. наук. Воронеж, 2019. 38 с. [Gorobets A.I. Productivity of Natural Coenoses and Prospects of Willow Plantation Growing in the Central Forest-Steppe: Dr. Biol. Sci. Diss. Abs. Voronezh, 2019. 38 p.]
Гурский А.А., Токмурзин Т.Х. Сортиментная таблица для ветловых древостоев поймы р. Урал. Вариант 3 // Сортиментные и товарные таблицы для лесов Казахстана / отв. ред. А.А. Макаренко. Ч. II. Алма-Ата: Кайнар, 1987. С. 151–153. [Gurskiy A.A., Tokmurzin T.Kh. Specimen Table for Willow Stands in the Ural River Floodplain. Option 3. Specimen and Commodity Tables for Forests of Kazakhstan. Ed. by A.A. Makarenko. Part II. Alma-Ata, Kainar Publ., 1987, pp. 151–153.]
Колтунова А.И., Макаренко А.А. Сортиментная таблица для ветловых древостоев поймы р. Иртыш. Вариант 3 / отв. ред. А.А. Макаренко. Сортиментные и товарные таблицы для лесов Казахстана. Ч. II. Алма-Ата: Кайнар, 1987. С. 156–159. [Koltunova A.I., Makarenko A.A. Specimen Table for Willow Stands in the Irtysh River Floodplain. Option 3. Ed. by A.A. Makarenko. Specimen and Commodity Tables for Forests of Kazakhstan. Part II. Alma-Ata, Kainar Publ., 1987, pp. 156–159.]
Лесной фонд России (по данным государственного учета лесного фонда по состоянию на 1 января 2003 г.): справ. М.: ВНИИ ЛМ. 2003. 640 с. [Forest Fund of Russia (on the Base of the State Accounting of the Forest Fund as of January 1, 2003): Handbook. Moscow, VNIILM Publ., 2003. 640 p.]
Логинова Л.А. Продуктивность ивовых ценозов в Центральном Черноземье и перспективы создания энергетических плантаций: автореф. дис. … канд. с.-х. наук. Воронеж, 2007. 19 с. [Loginova L.A. Productivity of Willow Coenoses in the Central Chernozem Region and Prospects for Creating Energy Plantations: Dr. Agric. Sci. Diss. Abs. Voronezh, 2007. 19 p.]
Макаренко А.А., Колтунова А.И. Объемы и выход деловой древесины по категориям крупности для ветловых древостоев поймы р. Иртыш // Справочник по таксации лесов Казахстана / отв. ред. А.А. Макаренко. Алма-Ата: Кайнар, 1980. С. 251–252.[Makarenko A.A., Koltunova A.I. Volumes and Yield of Commercial Wood by Size Categories for Willow Stands of the Irtysh River Floodplain. Handbook of Forest Valuation in Kazakhstan. Ed. by A.A. Makarenko. Alma-Ata. Kainar Publ., 1980, pp. 251–252.]
Недялков С., Цанов Ц. Разредна обемна таблица за високостъблени насаждения от върба (Разрядная объемная таблица для высокоствольных насаждений ивы) // Наръчник на таксатора (Справочник таксатора) / ред. Я. Порязов, Т. Тончев, И. Добричов. София: Булварк. 2004. С. 402–403. [Nedyalkov S., Tsanov Ts. Volume Table for Full-Grown Willow Stands. Forest Mensuration Handbook. Ed. by Ya. Poryazov, T. Tonchev, I. Dobrichov. Sofia, Bulwark Publ., 2004, pp. 402–403.]
Парамонов А.А., Третьяков С.В., Коптев С.В. Таблицы объемов стволов по диаметру и высоте ивы древовидной в северотаежном районе // Сиб. лесн. журн. 2020. № 3. С. 73–79. [Paramonov A.A., Tret’yakov S.V., Koptev S.V. Tables of Stem Volumе. Sibirskij Lesnoj Zurnal [Siberian Journal of Forest Science], 2020, no. 3, pp. 73–79. DOI: https://doi.org/10.15372/SJFS20200307]
Токмурзин Т.Х. Объемы и выход деловой древесины по категориям крупности для ветловых древостоев поймы р. Урал // Справочник по таксации лесов Казахстана / отв. ред. А.А. Макаренко. Алма-Ата: Кайнар, 1980. С. 248–250. [Tokmurzin T.Kh. Volumes and Yield of Commercial Wood by Size Categories for Willow Stands in the Ural River Floodplain. Handbook of Forest Valuation in Kazakhstan. Ed. by A.A. Makarenko. Alma-Ata, Kainar Publ., 1980, pp. 248–250.]
Усольцев В.А., Колчин К.В., Азаренок В.А. О возможностях применения всеобщих и региональных аллометрических моделей при оценке фитомассы деревьев ели // Аграр. вестн. Урала. 2017. № 06(160). С. 33–37. [Usoltsev V.A., Kolchin K.V., Azarenok V.A. On Possibilities for Application of Generic and Regional Allometric Models When Estimating Spruce Tree Biomass. Agrarnyj vestnik Urala [Agrarian Bulletin of the Urals], 2017, no. 06(160), pp. 33–37.]
Braastad H. Volumtabeller for bjørk [Volume Tables for Birch]. Meddelelser fra det Norske Skogforsøksvesen, 1966, vol. 21, no. 1, pp. 23–78.
Eysenck H.J. An Exercise in Mega-Silliness. American Psychologist, 1978, vol. 33(5), art. 517. DOI: https://doi.org/10.1037/0003-066X.33.5.517.a
Feinstein A.R. Meta-Analysis: Statistical Alchemy for the 21st Century. Journal of Clinical Epidemiology, 1995, vol. 48, iss. 1, pp. 71–79. DOI: https://doi.org/10.1016/0895-4356(94)00110-C
Giurgiu V. O expresie matematica unica a relatiei diametru – înaltime – volum, pentru majoritatea speciilor forestiere din Romania [An Unique Mathematical Expression of the Relation Diameter-Height-Volume for Most of the Romanian Forest Tree Species]. Silvicultura si Exploatarea Padurilor, 1974, vol. 89, no. 4, pp. 173–178.
Glass G.V. Primary, Secondary, and Meta-Analysis of Research. Educational Researcher, 1976, vol. 5, no. 10, pp. 3–8. DOI: https://doi.org/10.2307/1174772
Gschwantner T., Alberdi I., Balázs A., Bauwens S., Bender S., Borota D. et al. Harmonisation of Stem Volume Estimates in European National Forest Inventories. Annals of Forest Science, 2019, vol. 76, art. 24. DOI: https://doi.org/10.1007/s13595-019-0800-8
Markow T.A., Clarke G.M. Meta-Analysis of the Heritability of Developmental Stability: A Giant Step Backward. Journal of Evolutionary Biology, 1997, vol. 10, iss. 1, pp. 31–37. DOI: https://doi.org/10.1046/j.1420-9101.1997.10010031.x
Muukkonen Р. Generalized Allometric Volume and Biomass Equations for Some Tree Species in Europe. European Journal of Forest Research, 2007, vol. 126, iss. 2, pp. 157–166. DOI: https://doi.org/10.1007/s10342-007-0168-4
Nakagawa S., Poulin R. Meta-Analytic Insights into Evolutionary Ecology: Аn Introduction and Synthesis. Evolutionary Ecology, 2012, vol. 26, iss. 5, pp. 1085–1099. DOI: https://doi.org/10.1007/s10682-012-9593-z
O’Rourke K. An Historical Perspective on Meta-Analysis: Dealing Quantitatively with Varying Study Results. Journal of the Royal Society of Medicine, 2007, vol. 100, iss. 12, pp. 579–582. DOI: https://doi.org/10.1177/0141076807100012020
Pajtík J., Konôpka B. Quantifying Edible Biomass on Young Salix caprea and Sorbus aucuparia Trees for Cervus elaphus: Estimates by Regression Models. Austrian Journal of Forest Science, 2015, Nr. 2, S. 61–80.
Pajtík J., Konôpka B., Šebeň V. Mathematical Biomass Models for Young Individuals of Forest Tree Species in the Region of the Western Carpathians. Zvolen, National Forest Centre – Forest Research Institute Zvolen, 2018. 89 p.
Petticrew M. Systematic Reviews from Astronomy to Zoology: Myths and Misconceptions. British Medical Journal, 2001, vol. 322, pp. 98–101. DOI: https://doi.org/10.1136/bmj.322.7278.98
Xia Z.-S., Zeng W.-S., Znu S., Luo H.-Z. Construction of Tree Volume Equations for Chinese Fir Plantations in Guizhou Province, Southwestern China. Forest Science and Practice, 2013, vol. 15, iss. 3, pp. 179–185. DOI: https://doi.org/10.1007/s11632-013-0304-9
