Short Communication

 

Invasion of alien plants in fire-damaged forests at southern boundary of the taiga zone

 

Anatoliy A. Khapugin

Mordovia State Nature Reserve, 431230, Pushta, Temnikov district, Republic of Mordovia, Russia

Department of Botany, Physiology and Ecology of Plants, Mordovia State University, Bolshevistskaya Street, 68, 430005, Saransk, Republic of Mordovia, Russia

Elena V. Vargot

Mordovia State Nature Reserve, 431230, Pushta, Temnikov district, Republic of Mordovia, Russia.

Department of Botany, Physiology and Ecology of Plants, Mordovia State University, Bolshevistskaya Street, 68, 430005, Saransk, Republic of Mordovia, Russia

National Park “Smolny”, Topoley Street, 11, 431660, Smolny, Ichalki district, Republic of Mordovia, Russia

Gennadiy G. Chugunov

Mordovia State Nature Reserve, 431230, Pushta, Temnikov district, Republic of Mordovia, Russia.

Department of Botany, Physiology and Ecology of Plants, Mordovia State University, Bolshevistskaya Street, 68, 430005, Saransk, Republic of Mordovia, Russia

National Park “Smolny”, Topoley Street, 11, 431660, Smolny, Ichalki district, Republic of Mordovia, Russia

Nikita I. Shugaev

Department of Botany, Physiology and Ecology of Plants, Mordovia State University, Bolshevistskaya Street, 68, 430005, Saransk, Republic of Mordovia, Russia

 

Abstract

Aim of the study: Biological invasions are one of the most important areas of forest research. In this study, we revealed invasibility of fire-damaged forests at the southern boundary of the taiga zone.

Area of study: The Mordovia State Nature Reserve (Central Russia).

Material and Methods: Altogether, 11 square plots of each 100 × 100 m were established in different types of fire-damaged forests. To test plant invasion outside the established plots, field researches were carried out by route method in fire-damaged area of the Mordovia Reserve.

Main Results: Six alien species (Erigeron canadensis, E. annuus, Oenothera biennis, Lactuca serriola, Sambucus racemosa, Viola arvensis) were registered within the established plots in 2011–2014. In addition, two alien invasive plants (Solidago canadensis and Bidens frondosa) were found outside these plots. No differences were detected in invasibility of the tested forest ecosystems.

Research highlights: Among the revealed alien species, Erigeron canadensis, Lactuca serriola and Solidago canadensis are the most invasive plants in forest ecosystems. The first one was observed with a high occurrence frequency and abundance in all forest types tested. The second one has not been differed by abundance, but it characterized by a high competition as well as a large biomass and a large number of seeds. Solidago canadensis penetrated to natural forest ecosystem in a short time period due to closest location of its dispersal centers near the boundary of the Mordovia Reserve. These species are the most probable invaders of the forest ecosystems.

Keywords: Invasive plants; invasibility; post-fire successions; Mordovia State Nature Reserve; wildfire; forest ecosystem.

Citation: Khapugin, A.A., Vargot, E.V., Chugunov, G.G., Shugaev, N.I. (2016). Invasion of alien plants in fire-damaged forests at Southern boundary of the taiga zone. Forest Systems, Volume 25, Issue 3, eSC13. http://dx.doi.org/10.5424/fs/2016253-09461.

Received: 13 Feb 2016. Accepted: 15 Sep 2016.

Copyright © 2016 INIA. This is an open access article distributed under the terms of the Creative Commons Attribution-Non Commercial (by-nc) Spain 3.0 Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Funding: This work was supported by the Ministry of Education and Science of Russia (project № 6.783.2014K).

Competing interests: The authors have declared that no competing interests exist.

Correspondence should be addressed to Anatoliy A. Khapugin: hapugin88@yandex.ru


 

CONTENTS

Abstract

Introduction

Material and methods

Results and Discussion

Acknowledgements

References

IntroductionTop

Wildfires are one of the key processes in many biomes worldwide. They are considered as one of the most important ecological factors determining the distribution and composition of many ecosystems (Bond & Keeley, 2005; Pausas & Ribeiro, 2013). Usually the wildfire has a short but powerful damaging effect on the vegetation cover. In the first years, an increasing in the number of species as well as in the total biomass of organisms occur in fire-damaged areas. (Zyryanova et al., 2010; Shugaev et al., 2015). After several years, the speed of this process decreases: revegetation begins, aiming at restoring the vegetation cover that existed before the fire influence (Gromtsev, 2000; Kazantseva & Chernobay, 2011). Some plants are well adapted to post-fire conditions due to improved light conditions, availability of mineral elements and a sharp decline in competition (Calvo et al., 2008). That is why such plants have high parameters of abundance and biomass in fire-damaged areas.

Also alien plant species are involved in the pyrogenic successions. They are able to impact on native plant populations and ecosystem by changing soil stability, contributing to soil erosion, occupying open habitats, affecting the accumulation of litter, salt and other resources of the soil (Vitousek, 1990; Richardson et al., 2000). Forest ecosystems are the most resistant communities against plant invasion (Pearsall, 1959; Weaver et al., 2001; Keeley et al., 2003). One of the main reasons for tolerance of forests to invasion is the closed canopy which typically provides from 5% to < 2% of incident solar radiation (Canham et al., 1990). Therefore the covered canopy greatly inhibits the growth and development of alien plants (Rejmanek, 1989; Charbonneau & Fahrig, 2004). This is especially important for areas with a special protection regime: e.g. nature reserves and national parks. Protected areas are the most common and important instrument for in situ conservation of biodiversity (Scott & Lemieux, 2005). Due to the special protection regime, strict nature reserves (category 1a, according to the IUCN System of Management Categories for Protected Areas (1994)) are withdrawn out of the human use.

This research is aimed at studying the short-term effects of wildfires on the invasion of alien plant species in forest ecosystems at the southern boundary of the taiga zone. As a model object, the Mordovia State Nature Reserve was selected.

Material and methodsTop

The Mordovia State Nature Reserve is situated in the northwest of the Republic of Mordovia, Russian Federation (54° 42’ – 54° 56’ N 43° 04’ – 43° 36’ E; up to 190 m a.s.l., Fig. 1). It lies in the southern boundary of the taiga natural zone. The reserve area is 321.62 sq. km. Forest communities cover 89.3% of total reserve area. The Vascular Flora of the Mordovia Reserve includes 797 species from 99 families. Among them, alien vascular flora is presented by 108 species (13.5% of the total species number) (Khapugin et al., 2015a). In general, the vegetation cover of the Mordovia Reserve is similar to the taiga complex with a tendency of transfer to nemoral complex under the succession. Participation of forest-steppe elements is typical for this area (Tereshkina, 2006).

Figure 1. Geographical position of the Mordovia State Nature Reserve in Eastern Europe. Numbers on the map of the Mordovia Reserve indicate the established plots referred to in the list of studied locations (Map with modifications from web-site United Nations Geospatial Information Section: http://www.un.org/Depts/Cartographic/english/htmain.htm).

Pine (Pinus sylvestris L.) is the main forest-forming wood species in the reserve. It forms pure or mixed forest communities in the south, central and western parts of the Mordovia Reserve. Birch (Betula pendula Roth) ranks a second place in the area covered by forest in the Mordovia Reserve. Birch forests are encountered by patches together with pine forest areas. It forms predominantly secondary communities at logging sites and at burnt pine forest sites. Lime (Tilia cordata Mill.) forests are encountered in the northern part of the Mordovia Reserve. They are predominantly secondary plant communities replacing pine (Pinetum) and lime-spruce (Tilieto-Piceetum) forests. Nevertheless, they play an important role in the conservation of the endangered plant species Lunaria rediviva L., located in the north-eastern border of its range (Khapugin & Chugunov, 2015). Oak (Quercus robur L.) forests cover a relatively small area in the Mordovia Reserve. These are distributed in the floodplain of the Moksha river in the western part of the Protected Area. Spruce (Picea abies L.) forests are located predominantly in the floodplains of rivers and streams (Pushta, Vyaz-Pushta, Vorsklyay, Arga, etc.) and cover small areas.

In 2010, a relatively large part of the Mordovia Reserve was on fire; about 37% (120 km2) of the forest was burnt (Grishutkin, 2012). The plot characterization of the wildfire is presented in Table 1. The sample plots were selected by using the forest inventory map of the Mordovia Reserve with habitats damaged by the wildfire of 2010 in the studied Protected Area. The percentage of the burnt forest area was evaluated through geobotanical survey of each established plot. Fire severity was described following Ryan (2002) and Turner et al. (1994) with modifications. The fire intensity was assessed following the Fire Intensity Risk System (BC Wildfire Service, 2015). To study the post-fire dynamics of the vegetation cover in the forests of the Mordovia State Nature Reserve, we established 11 square plots (100×100 m) in the five aforementioned types of forest affected by wildfire: 5 plots were established in pine forests (Pin07, Pin26, Pin27, Pin38, Pin40), 2 in spruce forests (Pic28, Pic29), 2 in oak forests (Que36, Que37), 1 in birch forest (Bet30) and 1 in lime forest (Til35) (Khapugin et al., 2012; Shugaev et al., 2015). The geobotanical methodic follows Aleksandrova (1964). Eight of the established plots were studied from 2011 to 2014. Plots Pin07 and Pin40 were established only in 2014. Plot Pic28 was studied in 2012 and 2014 years.

In addition, we could not ignore the obviously high rate of invasion of some plants outside the abovementioned established plots. Therefore we studied the penetration of these plants in burnt forest communities outside fixed plots.


Table 1. Representation of alien species at established plots in fire-damaged forests of the Mordovia State Nature Reserve in 2011–2014 years


Results and DiscussionTop

Alien plants found within the established plots in fire-damaged forests

During the four years of the research, only 6 alien plant species have been found within the established plots. They are presented in Table 1 and Figure 2:

Figure 2. Percentage of occurrence of alien species found at established plots in fire-damaged forests of the Mordovia State Nature Reserve in 2011-2014.

Three of them (Erigeron canadensis L., Erigeron annuus (L.) Desf., Oenothera biennis L.) are included in the Black Data Book of Central Russia (Vinogradova et al., 2010) as the most invasive alien plant species of European Russia.

Erigeron canadensis (Compositae Giseke) has the highest occurrence frequency and abundance within all established plots. This species was found in all established plots with an occurrence frequency of 100% (Fig. 2). Moreover, Erigeron canadensis is the most widely distributed plant species invaded the fire-damaged forests in the whole area of the Mordovia Reserve. Erigeron canadensis is one of the first and abundant (together with Epilobium angustifolium L.) ruderal plants (according to Grime, 1979) in fire-damaged forests of the Mordovia Reserve during the early stages of pyrogenic succession (Khapugin et al., 2012). By 2014 its projective cover had decreased at most studied plots except for Pin27, despite the fact that this species is annually observed in all plots established during the study period. Due to xerophilous conditions of habitat Pin27 and stringent conditions of fire in 2010 (Table 1), the growth rate of undergrowth of Betula pendula Roth has decreased at this plot. Under these favourable conditions Erigeron canadensis is characterized by a high abundance, annual flowering and fruiting. Dominance or presence of this species in the vegetation cover during the early stages of pyrogenic successions is in line with the results of other researchers (Dymova, 2014; Malinovskikh, 2014). Thus, we conclude that this alien species is the most invasive plant in natural ecosystems of the Mordovia State Nature Reserve.

Erigeron annuus (Compositae) is a less competitive species than the previous alien plant. It was first found only in 2012 year at most parts of the established plots (except plot Bet30) (Fig. 2). Erigeron annuus was presented by isolated individuals scattered throughout the areas of the established plots, without thicket forming. By 2014, Erigeron annuus was observed only in two studied plots (Bet30 and Que36) as few isolated plant individuals. Apparently, Erigeron annuus is able to penetrate into natural ecosystems of the Mordovia Reserve, but it cannot compete with native perennial plants (e.g. Pteridium aquilinum (L.) Kuhn, Calamagrostis epigejos (L.) Roth, undergrowth of Betula pendula and Populus tremula L.) recovering after a forest fire.

The Western European-Ancient Mediterranean species Lactuca serriola L. (Compositae) was observed in most parts of the studied plots in both coniferous and deciduous forest communities. The species was found as single individuals scattered throughout the areas of the studied plots. However, the plants are clearly visible because of their tall stems with numerous inflorescences. Last fact promotes active dissemination of Lactuca serriola. Also, high seed germination (Mikulka & Chodová, 2003) and its better effect in shade conditions (Kapeluszny et al., 2011) were shown. All these facts provide establishing of Lactuca serriola in conditions of high competition with other plants. Because of the high competitiveness of this species and resistance to shading, Lactuca serriola is able to exist in the shade of the undergrowth of pioneer deciduous tree species. Thus, this species is a sustainable forest ecosystem component which can be considered as one of the invasive species that deserve special attention.

The finding of a single generative individual of Oenothera biennis (Onagraceae Juss.) in studied plot Pin38 in 2012 suggests that the seeds of this biennial plant were introduced into the area of this plot immediately after or during the wildfire in 2010 along forest roads and narrow clearings. Apparently, this biennial plant has not been found during the study of this plot in 2011, because the plant was found with a basal rosette of leaves. In warm and humid spring an average of 30% of seeds of Oenothera biennis are able to germinate within 4–5 days (Gladunova et al., 2014); that is why we expect new findings of this plant in this established plot and adjacent areas in the future. In addition, we do not exclude the possibility of further dissemination of Oenothera biennis in the other areas of the Mordovia Reserve either, especially along forest roads and narrow clearings in areas damaged by the fire in 2010.

Among all the alien species revealed in the Mordovia Reserve fire-damaged forests, Viola arvensis Murr. (Violaceae Batsch) and Sambucus racemosa L. (Caprifoliaceae Juss.) belong to archaeophytes which have been known in the Republic of Mordovia since the sixteenth century. They do not show a high invasive behaviour. Apparently, their findings are caused by random drift of seeds along the forest narrow clearings, which are located in the immediate vicinity of the findings of these plants. We have to say that the Sambucus racemosa bushes were depressed despite annual flowering and fruiting. Viola arvensis has been observed only in the established plot Que37 since 2011, but it was not found there in 2014. Thus, these two alien species have the lowest invasive activity. Their new findings are possible in disturbed habitats: narrow clearings, forest roads, neighborhoods of forest lodges, etc.

All studied plots are located in one of these types of forest: Pinetum (Pin07, Pin26, Pin27, Pin38, Pin40), Piceetum (Pic28, Pic29), Quercetum (Que36, Que37), Betuletum (Bet30), Tilietum (Til35). Of these, the deciduous forest ecosystems are the least resistant to plant invasion (Table 2). Coniferous forests were invaded by an average of 1.75 invasive species per established plot. Nevertheless, differences between deciduous and coniferous forest types are minimal.


Table 2. Average number of invasive plant species found per established plot in different type of forest


Alien plants found outside the established plots in fire-damaged forests

In addition to the abovementioned alien plants, two invasive species included in the Black Book of Central Russia Flora (Vinogradova et al., 2010) were found in the Mordovia Reserve outside the plots listed above. These are Solidago canadensis L. and Bidens frondosa L. from the Compositae family.

Despite the long history of the study of the Mordovia State Nature Reserve flora (since 1936), the first locations of Solidago canadensis in this area were found at first in 2012. These were located along a railway in the northeastern part of the Mordovia Reserve (Khapugin et al., 2013). In 2013, only one individual was recorded at the roadside nearby Pushta settlement. But in 2014 and 2015, new findings of Solidago canadensis were found relatively far away from the settlements, deep in the forests. Solidago canadensis penetrates in new localities predominantly along forest roads and narrow clearings. This is confirmed by the observation that all known localities of this invasive species are presented at roadsides and forest glades. We suggest that invasive plant diaspores penetrated into the Mordovia Reserve from the south, where abandoned arable lands are located. These abandoned areas are occupied by individuals of Solidago canadensis which not infrequently form a yellow aspect during flowering. The high level of penetration of Solidago canadensis along forest roads and narrow clearings coupled with its high invasiveness and closest location of its dispersal center (abandoned arable lands) are the main reasons to foresee a wide penetration of this invasive species in natural forest ecosystems in near future. In our opinion, the wildfire of 2010 was the main factor which provided Solidago canadensis to start its invasion due to a wide range of invasion ways as well as thinning of the forest stand, promoting the penetration of the anemophilous seeds of this plant.

Newly revealed locations of Bidens frondosa are few. It was first found in the Mordovia Reserve in 2013 (Khapugin et al., 2015b). This locality is placed between the established plots Pic29 and Que36 in alder-spruce forest damaged by the fire. Another locality of Bidens frondosa was found on the shores of Malaya Valza Lake. Here, the invasive plant was presented by single individuals scattered throughout the hygrophytic vegetation. We expect that new findings of Bidens frondosa in the Mordovia Reserve in future will be found predominantly near water bodies often used by human (e.g. ponds in the Pushta settlement and near the Steklyannyi cordon, the lakes Picherki, Inorki, the rivers Pushta, Satis).

Thus, despite the resistance of forest ecosystems to plant invasions (Pearsall, 1959; Keeley et al., 2003), eight alien plant species were registered in different types of forest damaged by a wildfire in 2010. No differences in invasibility of tested forest ecosystems were detected.

In conclusion, Erigeron canadensis, Lactuca serriola and Solidago canadensis are the most invasive plants in the Mordovia Nature Reserve and these species are the most probable invaders of studied forest ecosystems in the future. These preliminary findings point out the potential effect of fire to exacerbate the invasibility of some ruderal species in the taiga zone.


AcknowledgementsTop

We are indebted to Mgr. Jacob Koopman for English proofreading. We are grateful to three anonymous reviewers for careful attention to the manuscript, advices, and valuable comments which helped to improve the structure and quality of the article.

ReferencesTop

Aleksandrova VD, 1964. The study of changes of vegetation cover. In: Field geobotany; Lavrenko EM, Korchagina AA (eds). pp: 399-447. Nauka, Moscow; Leningrad.
BC Wildfire Service, 2015. Fire Rank. Retrieved from: http://www2.gov.bc.ca/gov/content/safety/wildfire-status.
Bond WJ, Keeley JE, 2005. Fire as a global ‘herbivore’: the ecology and evolution of flammable ecosystems. Trends Ecol Evol 20: 387-394. http://dx.doi.org/10.1016/j.tree.2005.04.025.
Calvo L, Santalla S, Valbuena L, Marcos E, Tarrega R, Luis-Calabuig E, 2008. Post-fire natural regeneration of a Pinus pinaster forest in NW Spain. Plant Ecol 197: 81-90. http://dx.doi.org/10.1007/s11258-007-9362-1.
Canham CD, Denslow JS, Platt WJ, Runkle JR, Spies TA, White PS, 1990. Light regimes beneath closed canopies and tree-fall gaps in temperate and tropical forests. Can J Forest Res 20(5): 620-631. http://dx.doi.org/10.1139/x90-084.
Charbonneau NC, Fahrig L, 2004. Influence of canopy cover and amount of open habitat in the surrounding landscape on proportion of alien plant species in forest sites. Ecoscience 11: 278-281.
Dymova TV, 2014. Successional features of change of vegetation cover of the Volga River delta under the influence of human activity. Publishing House «Astrakhanskiy universitet», Astrakhan 138 pp.
Gladunova NV, Vargot EV, Khapugin AA, 2014. Oenothera biennis L. (Onagraceae) in the Republic of Mordovia (Russia). Russian J Biol Invasion 5(1): 12-17. http://dx.doi.org/10.1134/S2075111714010044.
Grime JP, 1979. Plant strategies and vegetation process. John Wiley, Chichester, New York, USA. 222 pp.
Grishutkin OG, 2012. Influence of wildfires of 2010 on the wetland ecosystems in the Mordovia State Nature Reserve. Proceedings Mordovia State Nature Reserve 10: 261-265.
Gromtsev AN, 2000. Landscape ecology of boreal forests: theoretical and applied aspects. Karelskiy Nauchny Tsentr RAN, Petrozavodsk, 144 pp.
Kapeluszny J, Haliniarz M, Harasim P, 2011. The effect of soil environment on germination and emergence of prickly lettuce (Lactuca serriola L.). Acta Agrobotanica 64(3): 103-108. http://dx.doi.org/10.5586/aa.2011.037.
Kasantseva MN, Chernobay ES, 2011. Features of post-fire succession in forb birch forest in the sub-taiga zone of West-Siberian Plain. Vestnik Ecol Sylvics Landscape 11: 102-109.
Keeley JE, Lubin D, Fotheringham CJ, 2003. Fire and grazing impacts on plant diversity and alien plant invasions in the southern Sierra Nevada. Ecol Appl 13: 1355-1374. http://dx.doi.org/10.1890/02-5002.
Khapugin AA, Chugunov GG, 2015. Two populations of Lunaria rediviva L. (Cruciferae Juss.) at the eastern edge of its range. Wulfenia 22: 83-94.
Khapugin AA, Vargot EV, Chugunov GG, Dement’eva AE, 2013. Additions and Notes to the Alien Flora of the Mordovian State Nature Reserve. Russian J Biol Invasions 4(3): 200-207. http://dx.doi.org/10.1134/S2075111713030041.
Khapugin AA, Vargot EV, Chugunov GG, Shugaev NI, 2012. About changes in the vegetation cover of forests of different types after wildfires in the Mordovia State Nature Reserve. Proceedings Mordovia State Nature Reserve 10: 309-315.
Khapugin AA, Vargot EV, Chugunov GG, 2015a. List of vascular plants of the Mordovia State Nature Reserve. Proceedings Mordovia State Nature Reserve 15: 162-193.
Khapugin AA, Vargot EV, Mežaka A, Chugunov GG, 2015b. New species for flora of the Mordovian State Nature Reserve. Proceedings Mordovia State Nature Reserve 14: 430-433.
Malinovskikh AA, 2014. Analysis of species’ activity of the cenoflora of burnt areas of the belt pine forests of South Siberia. Vestnik of ASAU 11(121): 82-87.
Mikulka J, Chodová D, 2003. Germination and emergence of prickly lettuce (Lactuca serriola L.) and its susceptibility to selected herbicides. Plant soil environ 49(2): 89-94.
Pausas JG, Ribeiro E, 2013. The global fire-productivity relationship. Global Ecol. Biogeogr 22: 728-736. http://dx.doi.org/10.1111/geb.12043.
Pearsall WH, 1959. The ecology of invasion: Ecological stability and instability. New Biol 29: 95-101.
Rejmánek M, 1989. Invasibility of plant communities. In: Biological invasions: a global perspective; Drake JA, Mooney HA, di Castri F, Groves RH, Kruger FJ, Rejmánek M (eds). John Wiley & Sons, New York, USA. pp: 369-388.
Richardson DM, Pyšek P, Rejmánek M, Barbour MG, Panetta FD, West CJ, 2000. Naturalization and invasion of alien plants: concepts and definitions. Diversity Distributions 6: 93-107. http://dx.doi.org/10.1046/j.1472-4642.2000.00083.x.
Ryan KC, 2002. Dynamic interactions between forest structure and fire behavior in boreal ecosystems. Silva Fennica 36: 13-39. http://dx.doi.org/10.14214/sf.548.
Scott D, Lemieux C, 2005. Climate change and protected area policy and planning in Canada. Forestry Chronicle 81: 696-703. http://dx.doi.org/10.5558/tfc81696-5.
Shugaev NI, Khapugin AA, Vargot EV, 2015. Analysis of the first changes of plant cover of forests in the Mordovia Reserve after the wildfires of 2010 year. Proceedings Mordovia State Nature Reserve 14: 396-407.
Tereshkina LV, 2006. Changing and updating of a database on the flora of vascular plants of the Mordovia Reserve. Proceedings Mordovia State Nature Reserve 7: 180-185.
Turner MG, Hargrove WW, Gardner RH, Romme WH, 1994. Effects of fire on landscape heterogeneity inYellowstone National Park, Wyoming. J Veg Sci 5: 731-742. http://dx.doi.org/10.2307/3235886.
Vinogradova YuK, Mayorov SR, Khoroon LV, 2010. The Black Book of Flora of Central Russia. Alien Plant Species in Ecosystems of Central Russia. GEOS, Moscow. 512 pp.
Vitousek PM, 1990. Biological Invasions and Ecosystem Processes: Towards an Integration of Population Biology and Ecosystem Studies. Oikos 57(1): 7-13. http://dx.doi.org/10.2307/3565731.
Weaver T, Gustafson D, Lichthardt J, 2001. Exotic plants in early and late seral vegetation of fifteen northern Rocky Mountain environments (HTs). Western North American Naturalist 61: 417-427.
Zyryanova OA, Abaimov AP, Bugaenko TN, Bugaenko NN, 2010. Recovery of forest vegetation after fire disturbance. In: A. Osawe et al. (eds.): Permafrost ecosystems: Siberian larch forests. Ecol Stud 209: 83-96. http://dx.doi.org/10.1007/978-1-4020-9693-8_5.