64 resultados para eucalypt stands

em Helda - Digital Repository of University of Helsinki


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The forest vegetation takes up atmospheric carbon dioxide (CO2) in photosynthesis. Part of the fixed carbon is released back into the atmosphere during plant respiration but a substantial part is stored as plant biomass, especially in the stems of trees. Carbon also accumulates in the soil as litter and via the roots. CO2 is released into the atmosphere from these carbon stocks in the decomposition of dead biomass. Carbon balance of a forest stand is the difference between the CO2 uptake and CO2 efflux. This study quantifies and analyses the dynamics of carbon balance and component CO2 fluxes in four Southern Finnish Scots pine stands that covered the typical economic rotation time of 80 years. The study was based on direct flux measurements with chambers and eddy covariance (EC), and modelling of component CO2 fluxes. The net CO2 exchange of the stand was partitioned into component fluxes: photosynthesis of trees and ground vegetation, respiration of tree foliage and stems, and CO2 efflux from the soil. The relationships between the component fluxes and the environmental factors (light, temperature, atmospheric CO2, air humidity and soil moisture) were studied with mathematical modelling. The annual CO2 balance varied from a source of about 400 g C/m2 at a recently clearcut site to net CO2 uptake of 200 300 g C/m2 in a middle-aged (40-year-old) and a mature (75-year-old) stand. A 12-year-old sapling site was at the turning point from source to a sink of CO2. In the middle-aged stand, photosynthetic production was dominated by trees. Under closed pine canopies, ground vegetation accounted for 10 20% of stand photosynthesis whereas at the open sites the proportion and also the absolute photosynthesis of ground vegetation was much higher. The aboveground respiration was dominated by tree foliage which accounted for one third of the ecosystem respiration. Rate of wood respiration was in the order of 10% of total ecosystem respiration. CO2 efflux from the soil dominated the ecosystem respiratory fluxes in all phases of stand development. Instantaneous and delayed responses to the environmental driving factors could predict well within-year variability in photosynthetic production: In the short term and during the growing season photosynthesis follows primarily light while the seasonal variation is more strongly connected to temperature. The temperature relationship of the annual cycle of photosynthesis was found to be almost equal in the southern boreal zone and at the timberline in the northern boreal zone. The respiratory fluxes showed instantaneous and seasonal temperature relationships but they could also be connected to photosynthesis at an annual timescale.

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To enhance the utilization of the wood, the sawmills are forced to place more emphasis on planning to master the whole production chain from the forest to the end product. One significant obstacle to integrating the forest-sawmill-market production chain is the lack of appropriate information about forest stands. Since the wood procurement point of view in forest planning systems has been almost totally disregarded there has been a great need to develop an easy and efficient pre-harvest measurement method, allowing separate measurement of stands prior to harvesting. The main purpose of this study was to develop a measurement method for pine stands which forest managers could use in describing the properties of the standing trees for sawing production planning. Study materials were collected from ten Scots pine stands (Pinus sylvestris) located in North Häme and South Pohjanmaa, in southern Finland. The data comprise test sawing data on 314 pine stems, dbh and height measures of all trees and measures of the quality parameters of pine sawlog stems in all ten study stands as well as the locations of all trees in six stands. The study was divided into four sub-studies which deal with pine quality prediction, construction of diameter and dead branch height distributions, sampling designs and applying height and crown height models. The final proposal for the pre-harvest measurement method is a synthesis of the individual sub-studies. Quality analysis resulted in choosing dbh, distance from stump height to the first dead branch (dead branch height), crown height and tree height as the most appropriate quality characteristics of Scots pine. Dbh and dead branch height are measured from each pine sample tree while height and crown height are derived from dbh measures by aid of mixed height and crown height models. Pine and spruce diameter distribution as well as dead branch height distribution are most effectively predicted by the kernel function. Roughly 25 sample trees seems to be appropriate in pure pine stands. In mixed stands the number of sample trees needs to be increased in proportion to the intensity of pines in order to attain the same level of accuracy.

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Fire is an important driver of the boreal forest ecosystem, and a useful tool for the restoration of degraded forests. However, we lack knowledge on the ecological processes initiated by prescribed fires, and whether they bring about the desired restoration effects. The purpose of this study was to investigate the impacts of low-intensity experimental prescribed fires on four ecological processes in young commercial Scots pine (Pinus sylvestris) stands eight years after the burning. The processes of interest were tree mortality, dead wood creation, regeneration and fire scar formation. These were inventoried in twelve study plots, which were 30 m x 30 m in size. The plots belonged to two different stand age classes: 30-35 years or 45 years old at the time of burning. The study was partly a follow-up of study plots researched by Sidoroff et al. (2007) one year after burning in 2003. Tree mortality increased from 183 stems ha-1 in 2003 to 259 stems ha-1 in 2010, corresponding to 15 % and 21 % of stem number respectively. Most mortality was experienced in the stands of the younger age class, in smaller diameter classes and among species other than Scots pine. By 2010, the average mortality of Scots pine per plot was 18%, but varied greatly ranging from 0% to 63% of stem number. Delayed mortality, i.e. mortality that occurred between 2 and 8 years after fire, seemed to become more important with increasing diameter. The input of dead wood also varied greatly between plots, from none to 72 m3 ha-1, averaging at 12 m3 ha-1. The amount of fire scarred trees per plot ranged from none to 20 %. Four out of twelve plots (43 %) did not have any fire scars. Scars were on average small: 95% of scars were less than 4 cm in width, and 75% less than 40 cm in length. Owing to the light nature of the fire, the remaining overstorey and thick organic layer, regeneration was poor overall. The abundance of pine and other seedlings indicated a viable seed source existed, but the seedlings failed to establish under dense canopy. The number of saplings ranged from 0 to 12 333 stems ha-1. The results of this study indicate that a low intensity fire does not necessarily initiate the ecological processes of tree mortality, dead wood creation and regeneration in the desired scale. Fire scars, which form the basis of fire dating in fire history studies, did not form in all cases.

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This dissertation, based on material from Stenman s vast private archive, examines the role played by Swedish-speaking Finnish art dealer Gösta Stenman (1888-1947) and his art gallery, Stenmans Konstsalong, in the Finnish and Swedish art worlds from 1911 to 1947. This archive is examined here for the first time. The analytical framework used for this empirical study derives from Pierre Bourdieu s sociological theories. An art-sociological approach allows for the inclusion of more mechanisms at work in the art world than are typically embraced in such inquiries. This approach provides a fuller understanding of how Stenman attained his standing and central role in the art world in Finland as well as Sweden; enabling us to appreciate how he came to occupy such a prominent position in current art historical writing. All of these issues constitute new areas of research. Taking his cues from the contemporary art world of Paris, Stenman became the year 1914 a modern art dealer like no other in the Nordic countries. This dissertation represents the first academic investigation into his operations, strategies, and objectives, offering insight into not only the art dealer himself but also the functioning of the art market one of the most vital aspects of the art world. A by-product of this work, is that the modern art market in Finland is portrayed, including essential issues related to its growth and development as well as how it altered the conditions under which art could be produced, exhibited and promoted and what this entailed for the art world at large, artists and patrons alike. This first systematic analysis of the operations of Stenman s Konstsalong offers greater understanding of the art worlds of Sweden and Finland in the early twentieth century. The work also looks at how an agent of the art market could move between the fields of art in Sweden and Finland. The manner in which Stenman promoted individual artists, including his relationships with Tyko Sallinen, Helene Schjerfbeck, Juho Mäkelä, Jalmari Ruokokoski, Siri Derkert, Esther Kjerner, Eva Bagge, and many others, also falls within this purview. Stenman s contract with Sallinen from 1913 stands out as a new phenomenon in Finnish art promotion, whereby an artistic career became established via a far-sighted, strategic promotional program. The case study of Stenman s promotion of Schjerfbeck in Sweden provides evidence of the increasingly advanced nature of Stenman s strategies. The title of the dissertation, The Promoter of Modernism, attempts to convey that Stenman was the consummate modernist, modern in his thoughts, his actions, and his approach to art. Keywords: Gösta Stenman, Stenmans konstsalong, Stenmans dotter, art market, modernism, collecting, Novembergruppen, Helene Schjerfbeck, Tyko Sallinen, Juho Mäkelä, Jalmari Ruokokoski, Wäinö Aaltonen, Siri Derkert, Åke Göransson, Esther Kjerner, Eva Bagge.

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The subject of doctoral thesis is the analysis and interpretation of instrumental pieces composed by Einojuhani Rautavaara (b. 1928) that have been given angelic titles: Archangel Michael Fighting the Antichrist from the suite Icons (1955)/Before the Icons (2006), Angels and Visitations (1978), the Double Bass Concerto Angel of Dusk (1980), Playgrounds for Angels (1981)and the Seventh Symphony Angel of Light (1994). The aim of the work is to find those musical elements common to these pieces that distinguish them from Rautavaara s other works and to determine if they could be thought of as a series. I prove that behind the common elements and titles stands the same extramusical idea the figure of an angel that the composer has described in his commentaries. The thesis is divided into three parts. Since all of the compositions possess titles that refer to the spiritual symbol of an angel, the first part offers a theoretical background to demonstrate the significant role played by angels in various religions and beliefs, and the means by which music has attempted to represent this symbol throughout history. This background traces also Rautavaara s aesthetic attitude as a spiritual composer whose output can be studied with reference to his extramusical interests including literature, psychology, painting, philosophy and myths. The second part focuses on the analysis of the instrumental compositions with angelic titles, without giving consideration to their commentaries and titles. The analyses concentrate in particular on those musical features that distinguish these pieces from Rautavaara s other compositions. In the third part these musical features are interpreted as symbols of the angel through comparison with vocal and instrumental pieces which contain references to the character of an angel, structures of mythical narration, special musical expressions, use of instruments and aspects of brightness. Finally I explore the composer s interpretative codes, drawing on Rilke s cycle of poems Ten Duino Elegies and Jung s theory of archetypes, and analyze the instrumental pieces with angelic titles in the light of the theory of musical ekphrasis.

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From the field to the academic sphere how teachers professional identities and roles have changed in post-war Finland This study explores teacher autobiographies. The span of the writings extends mainly from the Second World War to the new millennium. The autobiographers are mostly elementary and secondary school teachers in Finland, although there are a few who have worked in vocational schools, polytechnic institutes or one of the various adult education centres. The researcher is aware of the diversity among those educational institutions and their teachers, but wanted to concentrate on similarities rather than differences. The autobiographers have been explored with four different research questions in view. The first was to identify professional and personal elements and themes mentioned by teachers in writing about themselves. The second was to identify the factors that have affected those elements and themes. The third was to examine the kinds of literary forms teachers used in their autobiographies. The fourth was the most crucial and an endeavour to connect the previous questions: how teachers professional identities and roles have changed during the period studied. In the first five chapters the teachers voices come through clearly. Two of these chapters are organized in chronological order. The first is about childhood, youth and the time spent in school, the second deals with the years studying in university or teachers college and finally being recruited to the teachers. In these chapters the rural background of many teachers stands out, an issue that also emerged symbolically or de facto in the autobiographies. The chronological scheme changes to a thematic order, in which social matters (students, parents, colleagues) and teachers working circumstances are dealt with. Four selected autobiographies are examined closely. In these autobiographies five different types of teacher narratives can be identified. To begin with, teachers stressed their vocation, which is quite a normal work orientation for those working in the educational field. Others emphasised how they were looking for professional development; a few wrote about personal advancement as well. There are also narratives by teachers who simply drifted into the profession of teaching, while a few teachers felt unwelcome in their own schools. As for the changes that teachers have witnessed, there are also some themes that are widely shared. Most pointed out how the teacher has become more foster parent than educator, as real parents have withdrawn from their responsibilities of raising children. This theme was frequently broached, although attitude towards it and ways of handling the phenomenon differed substantially. Teachers also stressed how their profession has lost the aura and prestige it once had. At the same time teachers are being expected to collaborate more with their colleagues, which is not in line with the centuries-old tradition of working alone. Teachers seem to be in a state of flux, buffeted by elements of stability and change interacting simultaneously. Many teachers are demanding a re-examination of their working reality. Teachers long and intimate relationship with society and the state may be at a crossroads. Key words: teachers professional identity and role, autobiographical study, post-war Finland

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This thesis examines the impacts of silvicultural activities on productivity and financial returns of Scots pine (Pinus sylvestris L.) stands on drained peatlands in Finland. The effects of ditch network maintenance operations (DNM) and thinnings, with different timings and intensities, were studied. Based on stand development simulations, the best regimes for different types of stands according to site type, climatic area, and stand silvicultural status were defined from the viewpoint of both wood production and financial profitability. Certain aspects affecting the management outcomes, such as the timing of the first thinning, were examined using data from thinning experiments. Long-term predictions of the impacts of different management regimes were carried out by simulating the development of well-representative model-stands which were composed from appropriate inventory data sets. The MOTTI stand simulator used to perform the simulations enables the predictions by utilizing specific models for drained peatland stands. In addition to natural stand dynamics, these models describe the effects of silvicultural treatments on the development of a given stand. The mean annual increment of merchantable wood (MAImerch) was used as the measure of wood productivity, and the financial feasibility of the regimes was compared using net present value (NPV) analysis. Silvicultural treatments, when applied to appropriately match stand condition, increased both the productivity and financial returns of stand management. Applying DNM resulted in a small increase in MAImerch. When thinning was introduced along with DNM, their combined effect on wood productivity was considerable. According to current operational practices, DNM is generally combined with thinning. In some cases, e.g., in sites of low productivity, the need for DNM may become apparent prior to the thinning stage. As for profitability, thinnings proved to be crucial. The regimes with heavy and late thinnings were generally more profitable than those with normal thinnings. Further, early thinning (relative to stand volume) lacked appeal when seeking a financially profitable removal from the first thinning. In young stands with an initially poor silvicultural condition, however, applying even a low-yielding first thinning considerably increased the NPV when compared to a regime with no thinning at all. Generally, the regimes resulting in the best profitability included heavier thinnings and fewer DNM and thinning treatments than did the regimes resulting in the best yield results. This study demonstrates considerable potential for profitable wood production-oriented management in pine stands on drained peatlands despite their challenging circumstances and long rotations. The results can be used for defining new and more site-specific silvicultural guidelines for various types of drained, pine-dominated peatland stands within the entire range of boreal conditions.

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The aim of this study was to investigate the effects of location, site type, regeneration method and precommercial thinning on the characteristics and development of young, even-aged, pure Scots pine stands. In addition, the effects of timing and intensity of first commercial thinning on the yield and profitability during the rotation period were also studied. The stand characteristics and external quality of young Scots pine stands and stand-level growth models were based on extensive inventory data of the Finnish Forest Research Institute for young Scots pine stands (3 measurement times, 192 stands). The effect of precommercial thinning on stand development was examined on the basis of long-term experiments (13 stands, 169 plots). The effect of timing and intensity of the first commercial thinning on yield and profitability were based on measurements made in first commercial thinnings (27 stands of Metsähallitus), and the further stand development was modeled using the MOTTI simulator. The thesis was based on four articles and a summary. Stand level growth models were developed for young, even-aged Scots pine stands. The models reliably predicted the development up until the first commercial thinning stage. The stand density of young Scots pine stands in Finland was moderately low compared to the target values. In addition, the external quality of pines was low on average. The low stand density and poor external quality will result in the need for quality tree selection in thinnings, if high quality sawn timber is required. In Northern Finland, only 20% of the dominant trees were classified as normal. This will lead to the situation where external quality will remain relatively poor up until the end of rotation. Early and light precommercial thinning (Hdom 3 m, to a density of 3000 trees per hectare) increased the thinning removal by 40% compared to late and more intensive precommercial thinning (at 7 meters to a density of 2000 trees per hectare). A model for the effect of precommercial thinning on merchantable thinning removal at the first commercial thinning was developed for forest management planning purposes. When the recommended time of first commercial thinning was delayed from a dominant height of 12 m to 16 m, or by ten years, the yield of merchantable wood was doubled. Simultaneously, the current value of the stumpage revenues (with 4% interest rate) was increased on the average by 65% (330 € per hectare). Variation in stumpage prices or interest rates did not have any effect on the final results. Without exception, delaying the first commercial thinning by ten years seemed to be the most profitable method. This presupposes that precommercial thinning has been carried out at the right time and that tree quality aspects do not be specially considered. Furthermore, the wood yield and economic outcome from the entire rotation were similar regardless of whether the first thinning was performed at the time currently recommended or ten years later.

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An important challenge in forest industry is to get the appropriate raw material out from the forests to the wood processing industry. Growth and stem reconstruction simulators are therefore increasingly integrated in industrial conversion simulators, for linking the properties of wooden products to the three-dimensional structure of stems and their growing conditions. Static simulators predict the wood properties from stem dimensions at the end of a growth simulation period, whereas in dynamic approaches, the structural components, e.g. branches, are incremented along with the growth processes. The dynamic approach can be applied to stem reconstruction by predicting the three-dimensional stem structure from external tree variables (i.e. age, height) as a result of growth to the current state. In this study, a dynamic growth simulator, PipeQual, and a stem reconstruction simulator, RetroSTEM, are adapted to Norway spruce (Picea abies [L.] Karst.) to predict the three-dimensional structure of stems (tapers, branchiness, wood basic density) over time such that both simulators can be integrated in a sawing simulator. The parameterisation of the PipeQual and RetroSTEM simulators for Norway spruce relied on the theoretically based description of tree structure developing in the growth process and following certain conservative structural regularities while allowing for plasticity in the crown development. The crown expressed both regularity and plasticity in its development, as the vertical foliage density peaked regularly at about 5 m from the stem apex, varying below that with tree age and dominance position (Study I). Conservative stem structure was characterized in terms of (1) the pipe ratios between foliage mass and branch and stem cross-sectional areas at crown base, (2) the allometric relationship between foliage mass and crown length, (3) mean branch length relative to crown length and (4) form coefficients in branches and stem (Study II). The pipe ratio between branch and stem cross-sectional area at crown base, and mean branch length relative to the crown length may differ in trees before and after canopy closure, but the variation should be further analysed in stands of different ages and densities with varying site fertilities and climates. The predictions of the PipeQual and RetroSTEM simulators were evaluated by comparing the simulated values to measured ones (Study III, IV). Both simulators predicted stem taper and branch diameter at the individual tree level with a small bias. RetroSTEM predictions of wood density were accurate. For focusing on even more accurate predictions of stem diameters and branchiness along the stem, both simulators should be further improved by revising the following aspects in the simulators: the relationship between foliage and stem sapwood area in the upper stem, the error source in branch sizes, the crown base development and the height growth models in RetroSTEM. In Study V, the RetroSTEM simulator was integrated in the InnoSIM sawing simulator, and according to the pilot simulations, this turned out to be an efficient tool for readily producing stand scale information about stem sizes and structure when approximating the available assortments of wood products.

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There is an increasing need to compare the results obtained with different methods of estimation of tree biomass in order to reduce the uncertainty in the assessment of forest biomass carbon. In this study, tree biomass was investigated in a 30-year-old Scots pine (Pinus sylvestris) (Young-Stand) and a 130-year-old mixed Norway spruce (Picea abies)-Scots pine stand (Mature-Stand) located in southern Finland (61º50' N, 24º22' E). In particular, a comparison of the results of different estimation methods was conducted to assess the reliability and suitability of their applications. For the trees in Mature-Stand, annual stem biomass increment fluctuated following a sigmoid equation, and the fitting curves reached a maximum level (from about 1 kg/yr for understorey spruce to 7 kg/yr for dominant pine) when the trees were 100 years old. Tree biomass was estimated to be about 70 Mg/ha in Young-Stand and about 220 Mg/ha in Mature-Stand. In the region (58.00-62.13 ºN, 14-34 ºE, ≤ 300 m a.s.l.) surrounding the study stands, the tree biomass accumulation in Norway spruce and Scots pine stands followed a sigmoid equation with stand age, with a maximum of 230 Mg/ha at the age of 140 years. In Mature-Stand, lichen biomass on the trees was 1.63 Mg/ha with more than half of the biomass occurring on dead branches, and the standing crop of litter lichen on the ground was about 0.09 Mg/ha. There were substantial differences among the results estimated by different methods in the stands. These results imply that a possible estimation error should be taken into account when calculating tree biomass in a stand with an indirect approach.

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Forest management is facing new challenges under climate change. By adjusting thinning regimes, conventional forest management can be adapted to various objectives of utilization of forest resources, such as wood quality, forest bioenergy, and carbon sequestration. This thesis aims to develop and apply a simulation-optimization system as a tool for an interdisciplinary understanding of the interactions between wood science, forest ecology, and forest economics. In this thesis, the OptiFor software was developed for forest resources management. The OptiFor simulation-optimization system integrated the process-based growth model PipeQual, wood quality models, biomass production and carbon emission models, as well as energy wood and commercial logging models into a single optimization model. Osyczka s direct and random search algorithm was employed to identify optimal values for a set of decision variables. The numerical studies in this thesis broadened our current knowledge and understanding of the relationships between wood science, forest ecology, and forest economics. The results for timber production show that optimal thinning regimes depend on site quality and initial stand characteristics. Taking wood properties into account, our results show that increasing the intensity of thinning resulted in lower wood density and shorter fibers. The addition of nutrients accelerated volume growth, but lowered wood quality for Norway spruce. Integrating energy wood harvesting into conventional forest management showed that conventional forest management without energy wood harvesting was still superior in sparse stands of Scots pine. Energy wood from pre-commercial thinning turned out to be optimal for dense stands. When carbon balance is taken into account, our results show that changing carbon assessment methods leads to very different optimal thinning regimes and average carbon stocks. Raising the carbon price resulted in longer rotations and a higher mean annual increment, as well as a significantly higher average carbon stock over the rotation.

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Here I aimed at quantifying the main components of deadwood dynamics, i.e. tree mortality, deadwood pools, and their decomposition, in late-successional boreal forests. I focused on standing dead trees in three stand types dominated by Picea mariana and Abies balsamea in eastern Canada, and on standing and down dead trees in Picea abies-dominated stands in three areas in Northern Europe. Dead and living trees were measured on five sample plots of 1.6-ha size in each study area and stand type. Stem disks from dead trees were sampled to determine wood density and year of death, using dendrochronological methods. The results were applied to reconstruct past tree mortality and to model deadwood decay class dynamics. Site productivity, stand developmental stage, and the occurrence of episodic tree mortality influenced deadwood volume and quality. In all study areas tree mortality was continuous, leading to continuity in deadwood decay stage distribution. Episodic tree mortality due to either autogenic or allogenic causes influenced deadwood volume and quality in all but one study area. However, regardless of productivity and disturbance history deadwood was abundant, accounting for 20 53% of total wood volume in European study areas, and 15 27% of total standing volume in eastern Canada. Deadwood was a persistent structural component, since its expected residence time in early- and midstages of decay was 18 yr even in the area with the most rapid decomposition. The results indicated that in the absence of episodic tree mortality, stands may eventually develop to a steady state, in which deadwood volume fluctuates around an equilibrium state. However, in many forests deadwood is naturally variable, due to recurrent moderate-severity disturbances. This variability, the continuous tree mortality, and variation in rates of wood decomposition determine the dynamics and availability of deadwood as a habitat and carbon storage medium in boreal coniferous forest ecosystems.

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The effect of temperature on height growth of Scots pine in the northern boreal zone in Lapland was studied in two different time scales. Intra-annual growth was monitored in four stands in up to four growing seasons using an approximately biweekly measurement interval. Inter-annual growth was studied using growth records representing seven stands and five geographical locations. All the stands were growing on a dry to semi-dry heath that is a typical site type for pine stands in Finland. The applied methodology is based on applied time-series analysis and multilevel modelling. Intra-annual elongation of the leader shoot correlated with temperature sum accumulation. Height growth ceased when, on average, 41% of the relative temperature sum of the site was achieved (observed minimum and maximum were 38% and 43%). The relative temperature sum was calculated by dividing the actual temperature sum by the long-term mean of the total annual temperature sum for the site. Our results suggest that annual height growth ceases when a location-specific temperature sum threshold is attained. The positive effect of the mean July temperature of the previous year on annual height increment proved to be very strong at high latitudes. The mean November temperature of the year before the previous had a statistically significantly effect on height increment in the three northernmost stands. The effect of mean monthly precipitation on annual height growth was statistically insignificant. There was a non-linear dependence between length and needle density of annual shoots. Exceptionally low height growth results in high needle-density, but the effect is weaker in years of average or good height growth. Radial growth and next year s height growth are both largely controlled by current July temperature. Nevertheless, their growth variation in terms of minimum and maximum is not necessarily strongly correlated. This is partly because height growth is more sensitive to changes in temperature. In addition, the actual effective temperature period is not exactly the same for these two growth components. Yet, there is a long-term balance that was also statistically distinguishable; radial growth correlated significantly with height growth with a lag of 2 years. Temperature periods shorter than a month are more effective variables than mean monthly values, but the improvement is on the scale of modest to good when applying Julian days or growing-degree-days as pointers.