• DOI: 10.31509/2658-607x-202691-187
  • УДК 630*182.5:574.36: 630*114(470.21)

COMPARISON OF MODEL-BASED FOREST STAND BIOMASS ESTIMATION: THE CASE OF SPRUCE PHYTOCOENOSES IN THE MURMANSK REGION

N. S. Ryabov*, L. G. Isaeva

 

Institute of North Industrial Ecology Problems of the KSC RAS

Russia, 184209, Apatity, Akademgorodok, 14A

 

*E-mail: n.ryabov@ksc.ru

Received: 04.02.2026

Revised: 16.03.2026

Accepted: 20.03.2026

This study presents a comparative analysis of the effectiveness of various regression models for estimating forest stand phytomass stocks in spruce forests developed on Al-Fe-humic podzols at the northern tree line in the Murmansk region. Research was conducted on sample plots established across diverse landscape positions, including automorphic, transitional, and accumulative sites. The relevance of this work stems from the critical need for reliable data on phytomass stocks, as phytomass represents a key carbon reservoir within taiga phytocoenoses. Given the region’s heterogeneous and rugged terrain, accounting for topographic factors is essential to minimize errors in phytomass pool estimations. A comparison of four models revealed that the model developed by J. Repola et al. is the most applicable for assessing forest stand phytomass. Leveraging a large dataset from similar environmental conditions, this model demonstrates high predictability across all types of elementary landscapes and currently offers an optimal compromise for regional phytomass assessments, despite identified limitations in analyzing the internal fractional structure of phytomass. Conversely, the regional model is restricted to aboveground phytomass and is suitable primarily for automorphic conditions. Findings indicate that while V. A. Usoltsev’s model is appropriate for estimating spruce phytomass, it systematically underestimates birch stocks – a key associated species in northern taiga spruce forests. Furthermore, the model proposed in the guidelines of the Ministry of Natural Resources of the Russian Federation proved ineffective for evidence-based monitoring due to significant overestimations of birch phytomass. The lack of reliable allometric equations for belowground phytomass (roots) remains a substantial knowledge gap, alongside uncertainties in estimating the fractional structure of tree phytomass stocks. These results underscore the necessity of gathering experimental data to refine regional models and integrate landscape positions. Such refinements will facilitate the minimization of errors in remote sensing calibration and enhance the accuracy of quantifying the role of Murmansk region forests in the global carbon cycle.

Кeywords: stand biomass, stand biomass models, spruce forests, northern taiga forests, Murmansk region, Arctic

 

 

REFERENCES

Alekseev V. A., Rak L. D., Priznaki oslableniya elei pod vliyaniem atmosfernogo zagryazneniya (Signs of spruce weakening under the influence of atmospheric pollution), Lesovedenie, 1985, No 5, pp. 37–43.

Alisov B. P., Klimat SSSR (Climate of the USSR), Moscow: MGU, 1956, 125 p.

Atlas Murmanskoi oblasti (Atlas of the Murmansk region), Moscow, 1971, 33 p.

Beck H. E., McVicar T. R., Vergopolan N., Berg A., Lutsko N. J., Dufour A., Zeng Z., Jiang X., Dijk A. I. J. M., Miralles D. G., High-resolution (1 km) Köppen-Geiger maps for 1901–2099 based on constrained CMIP6 projections, Scientific Data, 2023, Vol. 10, No 724, DOI: 10.1038/s41597-023-02549-6

Bobkova K. S., Kuznetsov M. A., Manov A. V., Galenko E. P., Tuzhilkina V. V., Fitomassa drevostoev el’nikov chernichno-sfagnovykh na bolotno-podzolistych pochvakh Evropeiskogo Severo-Vostoka (Phytomass of spruce forest stands of bilberry-sphagnum type on bog-podzolic soils of the European North-East), Izvestiya VUZov. Lesnoi zhurnal, 2010, No 1, pp. 19–26.

Bonan G. B., Forests and climate change: forcings, feedbacks, and the climate benefits of forests, Science, 2008, Vol. 320, pp. 1444–1449, DOI: 10.1126/science.1155121

Chepurko N. L., Biologicheskaya produktivnost’ i krugovorot khimicheskikh elementov v lesnykh i tundrovykh soobshchestvakh Khibinskikh gor (Biological productivity and cycle of chemical elements in forest and tundra communities of the Khibiny Mountains), In: Biologicheskaya produktivnost’ i krugovorot khimicheskikh elementov v rastitel’nykh soobshchestvakh (Biological productivity and cycle of chemical elements in plant communities), Leningrad: Nauka, 1971, pp. 213–219.

Chepurko N. L., Struktura i godovoi balans biomassy v lesakh Khibinskikh gor (Structure and annual biomass balance in the forests of the Khibiny Mountains), In: Pochvy i produktivnost’ rastitel’nykh soobshchestv (Soils and productivity of plant communities), Issue 1, Moscow: Izd-vo MGU, 1972, pp. 94–116.

Davidson S. J., Davies M. A., Wegener E., Claussen S., Schmidt M., Peacock M., Strack M., Carbon stocks and fluxes from a boreal conifer swamp: Filling a knowledge gap for understanding the boreal C cycle, Journal of Geophysical Research: Biogeosciences, 2024, Vol. 129, DOI: 10.1029/2024JG008005.

Ekologicheskij atlas Murmanskoj oblasti (Ecological atlas of the Murmansk region), Moscow; Apatity. IPPJeS KNC RAN; Geogr. f-t MGU; Gos. kom. po ohrane okruzhajushhej sredy Murmanskoj oblasti, 1999. 48 p.

Framstad E., de Wit H., Mäkipää R., Larjavaara M., Vesterdal L., Karltun E., Biodiversity, carbon storage and dynamics of old northern forests, Copenhagen: Nordic Council of Ministers, 2013, 130 p., DOI: 10.6027/TN2013-507

Friedlingstein P., O’Sullivan M., Jones M., Andrew R., Hauck J., Landschützer P., Zeng J., Global Carbon Budget 2024, Earth System Science Data, 2025, Vol. 17, pp. 965–1039, DOI: 10.5194/essd-17-965-2025.

Geobotanicheskoe raionirovanie nechernozem’ya Evropeiskoi chasti RSFSR (Geobotanical zoning of the non-chernozem region of the European part of the RSFSR), V. D. Aleksandrova (ed.), Leningrad: Nauka, 1989, 61 p.

Kazimirov N. I., Morozova R. M., Biologicheskii krugovorot veshchestv v el’nikakh Karelii (Biological cycle of substances in spruce forests of Karelia), Leningrad: Nauka, 1973, 175 p.

Ķeniņa L., Elferts D., Baders E., Jansons A., Carbon Pools in a Hemiboreal Over-Mature Norway Spruce Stands, Forests, 2018, Vol. 9, No 7, p. 435, DOI: 10.3390/f9070435

Kutyavin I. N., Sosnovye lesa Severnogo Priural’ya: stroenie, rost, produktivnost’ (Pine forests of the Northern Urals: structure, growth, productivity), K. S. Bobkova (ed.), Syktyvkar: IB Komi NTs UrO RAN, 2018, 176 p., DOI: 10.31140/book-2018-02

Kuznetsov M. A., Dinamika soderzhaniya organicheskogo ugleroda v zabolochennykh el’nikakh srednei taigi: Diss. cand. biol. nauk (Dynamics of organic carbon content in waterlogged spruce forests of the middle taiga. Candidate’s biol. sci. thesis), Syktyvkar, 2010, 141 p.

Lesnoi plan Murmanskoi oblasti. V 2-kh tomakh (Forest plan of the Murmansk region. In 2 volumes), Murmansk, 2019, 106 p.

Lesotaksatsionnyi spravochnik po Severo-Zapadu SSSR (Forest taxation handbook for the North-West of the USSR), Leningrad: LTA, 1984, 320 p.

Lukina N. V., Geras’kina A. P., Kuznetsova A. I., Smirnov V. E., Gornov A. V., … & Basova E. V., Funktsional’naya klassifikatsiya lesov: aktual’nost’ i podkhody k razrabotke (Functional classification of forests: relevance and development approaches), Lesovedenie, 2021, No 6, pp. 566–580, DOI: 10.31857/S0024114821060085

Lukina N. V., Nikonov V. V., Biogeokhimicheskie tsikly v lesakh Severa v usloviyakh aerotekhnogennogo zagryazneniya. V 2-kh ch. Ch. 1 (Biogeochemical cycles in the forests of the North under conditions of aerotechnogenic pollution. In 2 parts. Part 1), Apatity: izd-vo Kol’skogo nauchnogo tsentra RAN, 1996, 213 p.

Lukina N. V., Nikonov V. V., Izmenenie pervichnoi produktivnosti el’nikov pod vliyaniem tekhnogennogo zagryazneniya na Kol’skom poluostrove (Changes in the primary productivity of spruce forests under the influence of technogenic pollution on the Kola Peninsula), Lesovedenie, 1991, No 4, pp. 37–45.

Lukina N. V., Smirnov V. E., Teben’kova D. N., Danilova M. A., Tikhonova E. V., … & Ruchinskaya E. V., Rol’ starovozrastnykh lesov v akkumulyatsii i khranenii ugleroda (The role of old-growth forests in carbon accumulation and storage), Izvestiya Rossiiskoi akademii nauk. Seriya geograficheskaya, 2023, Vol. 87, No 4, pp. 536–557, DOI: 10.31857/S2587556623040064

Luyssaert S., Schulze E. D., Börner A., Knohl A., Hessenmöller D., Law B. E., Ciais P., Grace J., Old-growth forests as global carbon sinks, Nature, 2008, Vol. 455, pp. 213–215, DOI: 10.1038/nature07276

Mal’kova T. N., Peshev N. G. Lesnye resursy Kol’skogo Severa: e’kologo-e’konomicheskie aspekty lesopol’zovaniya (Forest resources of the Kola North: ecological and economic aspects of forest management), Apatity: Izd-vo KNC RAN, 1997. 84 p.

Manakov K. N., Nikonov V. V., Biologicheskii krugovorot mineral’nykh elementov i pochvoobrazovanie v el’nikakh Krainego Severa (Biological cycle of mineral elements and soil formation in spruce forests of the Far North), Leningrad: Nauka, 1981, 196 p.

Manakov K. N., Nikonov V. V., Pervichnaya biological produktivnost’ el’nikov Kol’skogo poluostrova (Primary biological productivity of spruce forests of the Kola Peninsula), Botanicheskii zhurnal, 1979, Vol. 64, No 2, pp. 232–241.

Merilä P., Lindroos A. J., Helmisaari H. S., Hilli S., Nieminen T. M., … & Ukonmaanaho L., Carbon Stocks and Transfers in Coniferous Boreal Forests Along a Latitudinal Gradient, Ecosystems, 2024, Vol. 27, pp. 151–167, DOI: 10.1007/s10021-023-00879-5

Metodika polevykh rabot po taksatsii lesa na postoyannykh probnykh ploshchadyakh v ramkakh realizatsii innovatsionnogo proekta gosudarstvennogo znacheniya «Uglerod v ekosistemakh: monitoring» (Methodology of field work on forest taxation on permanent sample plots within the framework of the innovative project of state importance «Carbon in ecosystems: monitoring»), Moscow: CEPF RAS, 2023, 32 p.

Mo L., Zohner C. M., Reich P. B., Liang J., de Miguel S., … & Ortiz-Malavasi E., Integrated global assessment of the natural forest carbon potential, Nature, 2023, Vol. 624, No 7990, pp. 92–101, DOI: 10.1038/s41586-023-06723-z

Nagimov Z. Ya., Artem’eva I. N., Shevelina I. V., Nagimov V. Z., Otsenka rangovogo polozheniya derev’ev v drevostoe pri issledovanii ikh fitomassy (Assessment of the rank position of trees in a forest stand during the study of their phytomass), Uspekhi sovremennogo estestvoznaniya, 2021, No 7, pp. 20–25, DOI: 10.17513/use.37657

Nikonov V. V., Lebedeva R. M., El’ i elovye lesa v tsentral’noi chasti Kol’skogo poluostrova (Spruce and spruce forests in the central part of the Kola Peninsula), In: Izuchenie rastitel’nykh resursov Murmanskoi oblasti (Study of plant resources of the Murmansk region), Apatity: Izd-vo Kol’skogo filiala AN SSSR, 1976, pp. 53–64.

Nunes L. J. R., Meireles C. I. R., Pinto Gomes C. J., Almeida Ribeiro N. M. C., Forest Contribution to Climate Change Mitigation: Management Oriented to Carbon Capture and Storage, Climate, 2020, Vol. 8, No 2, Article 21, DOI: 10.3390/cli8020021

Osipov A. F., Kutyavin I. N., Manov A. V., Kuznetsov M. A., Bobkova K. S., Zapasy i struktura fitomassy drevostoev severotaezhnykh sosnyakov Respubliki Komi (Reserves and structure of phytomass of forest stands of northern taiga pine forests of the Komi Republic), Izvestiya VUZov. Lesnoi zhurnal, 2022, No 4, pp. 25–38.

Osipov A. F., Tuzhilkina V. V., Dymov A. A., Bobkova K. S., Zapasy fitomassy i organicheskogo ugleroda srednetaezhnykh el’nikov pri vosstanovlenii posle sploshnolesosechnoi rubki (Stocks of phytomass and organic carbon of middle taiga spruce forests during recovery after clear-cutting), Izvestiya Rossiiskoi akademii nauk. Seriya biologicheskaya, 2019, No 2, pp. 215–224, DOI: 10.1134/S0002332919020103

Pan Y., Birdsey R. A., Phillips O. L., Houghton R., Fang J., … & Murdiyarso D., The enduring world Forest carbon sink, Nature, 2024, Vol. 631, pp. 536–569, DOI: 10.1038/s41586-024-07602-x

Pappas C., Maillet J., Rakowski S., Baltzer J. L., Barr A. G., … & Zha T., Aboveground tree growth is a minor and decoupled fraction of boreal forest carbon input, Agricultural and Forest Meteorology, 2020, Vol. 290, p. 108030, DOI: 10.1016/j.agrformet.2020.108030

Pekkoev A. N., Moshnikov S. A., Romashkin I. V., Teslya D. V., Zapasy ugleroda v fitomasse drevesnykh rastenii i krupnykh drevesnykh ostatkakh v starovozrastnykh sosnyakakh chernichnykh zapovednika «Kivach» (Carbon stocks in the phytomass of woody plants and large woody debris in old-growth bilberry pine forests of the Kivach Nature Reserve), Voprosy lesnoi nauki, 2024, Vol. 7, No 4, Article 156, DOI: 10.31509/2658-607x-202474-156

Prikaz Min. prirody RF «On approval of the methodology for quantitative determination of greenhouse gas emissions and greenhouse gas uptake», available at: https://clc.li/uOxvY (2026, 03 February).

Repola J., Ojansuu R., Kukkola M., Biomass functions for Scots pine, Norway spruce and birch in Finland, Helsinki: Finnish Forest Research Institute, 2007, 28 p.

Schepaschenko D., Moltchanova E., Fedorov S., Karminov V., Ontikov P., … & Kraxner F., Russian forest sequesters substantially more carbon than previously reported, Scientific Reports, 2021, Vol. 11, Article 12825, DOI: 10.1038/s41598-021-92152-9

Sheshnitsan S. S., Kartashova N. P., Shtepa E. N., Tsaregorodtsev A. V., Safonova A. A., Zapasy ugleroda v fitomasse i biologicheskaya produktivnost’ spelykh i perestoinykh drevostoev prigorodnogo lesnichestva Voronezhskoi oblasti (Carbon stocks in phytomass and biological productivity of mature and overmature forest stands of the suburban forestry of the Voronezh region), Lesotekhnicheskii zhurnal, 2024, Vol. 14, No 4(56), pp. 97–110, DOI: 10.34220/issn.2222-7962/2024.4/7

Strîmbu V. F., Næsset E., Ørka H. O., Liski J., Petersson H., Gobakken T., Estimating biomass and soil carbon change at the level of forest stands using repeated forest surveys assisted by airborne laser scanner data, Carbon Balance Manage, 2023, Vol. 18, No 10, DOI: 10.1186/s13021-023-00222-4

Thurner M., Beer C., Santoro M., Carvalhais N., Wutzler T., Schepaschenko D., Shvidenko A., Kompter E., Ahrens B., Levick S. R., Schmullius C., Carbon stock and density of boreal and temperate forests, Global Ecology and Biogeography, 2014, Vol. 23, pp. 297–310, DOI: 10.1111/geb.12125

Trofimova I. L., Koshcheeva U. P., Nagimov Z. Ya., Nadzemnaya fitomassa sosnovykh nasazhdenii v razlichnykh tipakh lesa v usloviyakh Srednego Urala (Aboveground phytomass of pine plantations in various types of forests in the Middle Urals), AVU, 2012, No 8 (100), pp. 55–58.

Tsvetkov V. F., Chertovskii V. G., Klassifikatsionnye tipologicheskie skhemy lesov i lesorastitel’noe raionirovanie Murmanskoi oblasti (Classification typological schemes of forests and forest vegetation zoning of the Murmansk region), Arkhangelsk: Izd-vo AILiLKH, 1979, 36 p.

Usol’tsev V. A., Fitomassa model’nykh derev’ev lesoobrazuyushchikh porod Evrazii: baza dannykh, klimaticheski obuslovlennaya geografiya, taksatsionnye normativy (Phytomass of model trees of forest-forming species of Eurasia: database, climatically determined geography, taxation standards), Ekaterinburg: izd-vo Ural’skogo gosudarstvennogo lesotekhnicheskogo universiteta, 2016, 336 p.

Wirth C., Schumacher J., Schulze E. D., Generic biomass functions for Norway spruce in Central Europe – a meta-analysis approach toward prediction and uncertainty estimation, Tree Physiology, 2004, Vol. 24, No 2, pp. 121–139, DOI: 10.1093/treephys/24.2.121

Zajceva I. V., Kobyakov K. N., Nikonov V. V., Smirnov D. Yu., Korennye starovozrostnye lesa Murmanskoi oblasti (Primary old-growth forests of the Murmansk region), Lesovedenie, 2002, No 2, p. 14–22.

Zianis D., Muukkonen P., Mäkipää R., Mencuccini M., Biomass and stem volume equations of tree species in Europe, Silva Fennica, 2005, No 4, DOI: 10.14214/sf.sfm4