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An outline of the processes used to use the SIMA model in the study (Kellomäki et al. , 2008). 

An outline of the processes used to use the SIMA model in the study (Kellomäki et al. , 2008). 

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Article
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Based on model simulations, we studied the sensitivity of the production of energy biomass and timber to varying precommercial stand densities. Additionally, we studied their sensitivity to varying thinning regimes alone or combined with nitrogen fertilization. The net present value (NPV) was used to identify the cost-efficiency of management regim...

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... for Norway spruce and for Scots pine), the timing varies depending on stand density after pre-commercial thinning. However, if the stand density is relatively high in young stands (e.g. due to additional natural regeneration especially by broadleaves, seeding of Scots pine and/or if tending of seedling stand has been delayed or not done), energy wood thinning would also be an option at a dominant height of 8–14 m. If the energy wood thinning is done as whole tree harvesting, the loss of nutrients, as a result of needle loss, may lead to a subsequent decrease in the growth of the re- maining trees (Kuusinen and Ilvesniemi, 2008). Therefore, it could be recommended only for stands with adequate site fertility, especially if nitrogen fertilization is not used to compensate for this nutrient loss (Anonymous, 2006). It is recommended that compensation fertilization is under- taken when the crown biomass is extracted more than once during a rotation (Skogsstyrelssen, 2001). In boreal conditions, such as in Finland, the potential for biomass production would be higher than that produced based on current traditional management recommenda- tions solely aiming for timber production for the wood processing industry. In boreal conditions, forest growth is mainly limited by relatively low summer temperatures, short growing season and limited availability of nitrogen (Linder, 1987; Kellomäki et al. , 1997). Thus, nitrogen fer- tilization in young stands could increase the amount of fo- liage (and leaf area) produced (Linder and Axelsson 1982; Vose and Allen 1988; Albaugh et al. , 1998), also resulting in a larger amount of absorbed energy used in stem wood production compared with unfertilized stands (Linder and Axelsson, 1982; Linder, 1987). Fertilization has played an important role in the wood production programmes in the 1960s and 1970s in Finland, significantly increasing the growth of upland forests (Kukkola and Nöjd, 2000). However, in practice, the growth response depends, to a certain extent, on the growth preceding fertilization (Viro, 1967; Gustavsen and Lipas, 1975). Good results have been achieved especially on sites where growth has also been relatively good before nitrogen (N) fertilization. In such conditions, N fertiliza- tion of 150 kg ha − 1 might be expected to increase growth by 12–20 m 3 ha − 1 over a rotation (Kaunisto et al. , 2002). This could also positively affect both timber and energy wood production potential. When aiming at concurrently producing timber and en- ergy wood in a cost-efficient and environmentally friendly manner, additional issues such as logging costs should be considered, which are high for small-dimensioned trees (e.g. their handling limits the capacity of the logging ma- chines and tends to decrease the productivity of work). The profitability of energy wood thinning is also dependent on the energy wood price as well as subsidies (Laitila, 2008). Forest growth models (as ecosystem models like SIMA and statistical growth and yield models like MOTTI) are essential tools in forest management because they can be used to analyse of the sensitivity of modelled stem wood production to different silvicultural treatments (e.g. spa- cing, thinning, fertilization) and varying environmental conditions (e.g. Kellomäki et al. , 1992; Hynynen et al. , 2005). Such models could also be used to support the de- cision making for optimal management solutions in prac- tical forest planning (Hynynen et al. , 2005; Hyytiäinen et al. , 2006; Pretzch et al. , 2008). This would not be possible purely based on empirical approaches. In this study, the main aim was to investigate how to in- crease the production of energy biomass when producing stem wood for industrial purposes. In this context, the sen- sitivity of stem wood production (energy wood, pulp and saw logs) to the varying pre-commercial stand density and following commercial thinnings (timing and intensity) and nitrogen (N) fertilization (number and amount) treat- ments was studied based on model simulations. They concern Norway spruce and Scots pine stands grown on sites with varying site fertility by applying a fixed rotation period of 80 years. In addition to stem wood produc- tion, we also considered the effects of management on net present value (NPV, € ha − 1 ) to identify the cost-efficiency of management regimes. This work was undertaken using the ecosystem model SIMA (Kellomäki et al. , 1992; Kolström, 1998), which is a gap-type model utilizing a time step of 1 year. In the model, the growth of a tree is based on diameter growth, which is the product of the potential diameter growth and environ- mental factors. The model incorporates four subroutines describing the site conditions (environmental subroutines) in terms of temperature sum (degree days, d.d.), within- stand light conditions, soil moisture and soil nitrogen. In addition, a procedure for management, including thinning and fertilization, is incorporated in the model (Figure 1). The environmental subroutines are linked by the multi- pliers to the demographic subroutines (birth, growth and death); i.e. G = G o ·M 1 . . . M n , where G is growth and/ or regeneration, G o growth and/or regeneration in optimal conditions and M 1 . . . M n multipliers for different envir- onmental factors. The subroutine converts the temperature sum, as well as light availability, soil water and nitrogen into growth multipliers. The death of the trees is deter- mined by the crowding with the consequent reduction in growth, which determines the risk for a tree to die at a given moment. Litter and dead trees end up on the soil to be decomposed, with the release of nitrogen in the long run. The simulation of the above processes and the conse- quent succession that takes place in the forest ecosystem is based on the Monte Carlo simulation technique; i.e. cer- tain events, such as birth and death of trees, are stochastic events. Consequently, each time such an event is possible (e.g. it is possible for a tree to die every year), the algo- rithm selects whether or not the event will take place by comparing a random number with the probability of the occurrence of the event. The probability of an event is a function of the state of the forest ecosystem at the time when it is possible. Each run of a Monte Carlo code is one realization of all possible time courses of the forest ecosystem. Therefore, the simulation of succession in the forest ecosystem must be repeated several times (150 times in this study) in order to determine the central tendency of variations over time. The model has been parameterized for Scots pine, Norway spruce, birch ( Betula pendula Roth. and Betula pubescens Ehrh.), aspen ( Populus tremula L.) and grey alder ( Alnus incana Moench., Willd) growing between the latitudes N 60° and N 70° and longitudes E 20° and E 32° in Finland (Kellomäki et al. , 1992; Kellomäki and Kolström, 1993; Kolström, 1999). The model is run on an annual basis and the computations are applied to an area of 100 m 2 . A procedure for management includes thinning, fertiliza- tion, rotation length and harvesting of timber and energy biomass (foliage, branches, stumps and top part of stem not suitable for timber). The total amount of fertilizer (NT, kg ha − 1 ), which was added in a single fertilizing event, was expected to gradually affect the growth over several years, so that the effect decreased over time (and disappeared fi- nally). Annually, the fraction of fertilizer ( F ( k )) affecting the growth in the year k ...

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