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This article was downloaded by: [Uniwersytet Jagiellonski], [Aneta Słomka]On: 06 November 2014, At: 23:51Publisher: Taylor & FrancisInforma Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House,37-41 Mortimer Street, London W1T 3JH, UK
Plant Biosystems - An International Journal Dealingwith all Aspects of Plant Biology: Official Journal of theSocieta Botanica ItalianaPublication details, including instructions for authors and subscription information:http://www.tandfonline.com/loi/tplb20
Viola tricolor (Violaceae) is a karyologically unstablespeciesA. SŁomkaa, E. Wolnyb & E. Kutaa
a Department of Plant Cytology and Embryology, Jagiellonian University, Polandb Department of Plant Anatomy and Cytology, University of Silesia, PolandAccepted author version posted online: 21 Mar 2013.Published online: 19 Apr 2013.
To cite this article: A. SŁomka, E. Wolny & E. Kuta (2014) Viola tricolor (Violaceae) is a karyologically unstable species,Plant Biosystems - An International Journal Dealing with all Aspects of Plant Biology: Official Journal of the Societa BotanicaItaliana, 148:4, 602-608, DOI: 10.1080/11263504.2013.788576
To link to this article: http://dx.doi.org/10.1080/11263504.2013.788576
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ORIGINAL ARTICLE
Viola tricolor (Violaceae) is a karyologically unstable species
A. SŁOMKA1, E. WOLNY2, & E. KUTA1
1Department of Plant Cytology and Embryology, Jagiellonian University, Poland and 2Department of Plant Anatomy and
Cytology, University of Silesia, Poland
AbstractViola tricolor is a pseudometallophyte covering heavy-metal-polluted and non-polluted areas. The species is a member of theevolutionarily young sect. Melanium of Viola. In this study, we sought to determine whether the karyotype of V. tricolor isstable with respect to chromosome structure or is altered depending on environmental conditions (heavy-metal-polluted vs.non-polluted areas). We established the karyotypes of plant material originating from a Zakopane meadow (non-metallicolous population) and from the Bukowno mine waste heap (metallicolous population), showing evidentinterpopulation differentiation in chromosome type (2M þ 20m þ 2sm þ 2st vs. 18m þ 8sm), in the number, size, anddistribution of rDNA loci (25S and 5S), and also in chromosome mutations, mainly fission of chromosomes into acentricfragments and translocation of the fragments. Variable numbers of both 25S and 5S rDNA loci were distributed at differentpositions of the chromosomes and not on specific pairs of chromosomes. The results clearly indicate that the karyotype ofV. tricolor results from the unstable genetic structure of the species. This character, typical for relatively young evolutionarygroups, proves its membership to the Melanium section considered to be young within the genus Viola.
Keywords: Karyotype repatterning, Melanium section, pseudometallophyte, rDNA loci, Viola tricolor
Introduction
Viola tricolor L. (wild pansy) belongs to sect.
Melanium of the genus Viola, which forms a derived
and monophyletic clade. Polyploidy and hybridiz-
ation have played a key role in the evolution of this
group, resulting in a wide range of chromosome
numbers. Its low level of genetic differentiation and
its complex cytological evolution indicate explosive
and quite recent radiation of this section (Erben
1996; Ballard et al. 1999; Yockteng et al. 2003).
Karyotype studies ofV. tricolor plants fromdifferent
parts of its area of distribution, including an
ornamental variety, have shown interpopulation
variability of karyotype structure using standard
staining techniques (Lausi & Cusma Verali 1986;
Krahulcova et al. 1996; He & Zhou 2007). The
variation involves chromosome structure and also
chromosome number. Intra- and interpopulation and
also intra- and interindividual variability of chromo-
some number were found in plants from the same
populations as analyzed in this study. Aneuploid cells
with lower (2n ¼ 18–25), higher (2n ¼ 27, 28), and
also polyploid (2n ¼ 42) chromosome numbers were
counted, in addition to the standard chromosome
number (2n ¼ 26), and the frequency of non-standard
numbers was higher in plants from the site polluted
with heavy metals than in those from the non-polluted
site (43% vs. 28%) (Słomka et al. 2011a). Continuing
our research on the V. tricolor karyotype, in this paper
we focus on karyotype alteration: changes in chromo-
somemorphology (type of chromosome), size, and the
distribution of selected rDNA sequences, using the
fluorescence in situhybridization (FISH) technique. In
view of previously reported intraspecific variability of
chromosome number in V. tricolor (Słomka et al.
2011a) and chromosomal aberrations in other plant
species, attributable to the effects of heavy metals
(Coulaud et al. 1999; Nkongolo et al. 2001; Prus-
Głowacki et al. 2006; Sedel’nikova & Pimenov 2007),
we expected soils pollutedwith heavymetals to have an
evident impact on karyotype alteration inViola tricolor.
Changes in chromosome number, chromosome
structure, and nuclear size (DNA content), generating
interpopulation, intrapopulation, and interindividual
karyological variability, are the crucial mechanisms of
q 2013 Societa Botanica Italiana
Correspondence: A. Słomka, Department of Plant Cytology and Embryology, Jagiellonian University, 52 Grodzka St., 31-044 Cracow, Poland. Tel: þ 48 1266
31764. Fax: þ 48 124228107. Email: [email protected]; [email protected]
Plant Biosystems, 2014Vol. 148, No. 4, 602–608, http://dx.doi.org/10.1080/11263504.2013.788576
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microevolutionary processes leading to speciation
(Schubert 2007; Raskina et al. 2008; Kirkpatrick
2010;Heslop-Harrison& Schwarzacher 2011). Plants
with large genomes are at a selective disadvantage at
heavy metal polluted sites (Vidic et al. 2009; Temsch
et al. 2010). On the other hand, in particular cells of
plants, the ploidy level may increase by endomitosis
and/or reduplication up to 16C, as in Cardaminopsis
halleri growing in Zn/Pb soils (Rostanski et al. 2005).
FISH for specific rDNA sequences is a good method
for genome research, visualizing chromosome
rearrangements during mitotic stages and in inter-
phase nuclei (Garrido et al. 1994; Maluszynska &
Juchimiuk 2005; Jiang & Gil 2006), as chromosomal
alterations are usually assisted by rDNA locus
dynamics (Raskina et al. 2004, 2008). Some
karyotypic changes, especially those enhanced under
stress, allow species with plastic genomes to survive as
new forms or even new species in times of rapid change
(Belyayev et al. 2010).
The present research, part of long-term studies
on the pseudometallophyteV. tricolor colonizing areas
in Europe polluted by heavy metals (Słomka et al.
2008, 2010, 2011a, 2011b, 2012), is aimed at
determining whether heavy metal tolerance is
accompanied by the structural alteration of chromo-
somes and karyotype repatterning.
Materials and methods
Plant material
Seeds for chromosome analyses were collected from
plants growing at a non-polluted site (Zakopane
meadow, ZM) and an area contaminated with heavy
metals (Bukowno mine waste heap in Olkusz area,
BH), both in southern Poland. The soil of ZM
contains relatively low amounts of heavy metals
(means: Zn 83 ppm, Pb 30 ppm, Cd 1ppm), whereas
the soil of BH is metal-rich (Zn 6725 ppm, Pb
1491 ppm, Cd 85ppm) (Słomka et al. 2008).
Seed germination and seedling pretreatment
We applied a specific treatment to improve the very
low frequency of seed germination of the plant. After
8 weeks of cooling at 48C, V. tricolor seeds from BH
and ZM were sterilized in commercial bleach diluted
with sterilized water (1:3 v/v) for 10min and rinsed
several times in sterilized water, then sown on 1%
agar and on moist filter paper and kept in an
experimental chamber under a 16-h photoperiod at
248C/188C. Seedlings for DAPI staining, chromo-
mycin staining, FISH, and Ag-NOR staining were
treated with 0.02M water solution of 8-hydroxyqui-
noline for 4 h at room temperature and fixed in a
mixture of ethanol and glacial acetic acid (3:1 v/v).
Metaphase plates were analyzed from 21 seedlings
from BH and 18 from ZM.
Slide preparation
Fixed seedlings were rinsed in 10mM citric acid–
sodium citrate buffer (pH 4.8) and enzymatically
digested [20% v/v pectinase (Sigma), 1% w/v
Calbiochem cellulase, 1% w/v Onozuka (Serva)
cellulase] for 2.5 h at 378C and finally rinsed in
10mM citric acid–sodium citrate buffer for 15min.
Preparations were made from root tips squashed in a
drop of 45% acetic acid, dry-iced and air-dried.
Slide staining
Chromomycin A3/DAPI staining
Double fluorescent staining with CMA3 (chromo-
mycin A3) and DAPI (40,6-diamidino-2-phenylin-
dole) was done according to the procedure of
Schweizer (1976). Slides were stained with 0.5mg/
ml CMA3 solution (Sigma) for 1 h in the dark, briefly
rinsed in distilled water, air-dried, and mounted in
Vectashield (Vector Laboratories) containing 2.5mg/
ml DAPI (Sigma). The chromosome spreads were
observed with an Olympus Provis AX epifluores-
cence microscope using the proper filter set.
Ag-NOR staining
The transcriptional activity of 45S (18-5.8-25S)
rRNA genes was determined using silver staining
(Hizume et al. 1980). Slides were incubated in borate
buffer (pH 9.22, Merck) for 10min, dried, and then
moisten with 50% silver nitrate (Merck) in redistilled
water. Slides were covered with nylon mesh and
incubated in a humid chamber at 428C for 20min,
washed in distilled water, air-dried, and mounted in
Entellan.
Fluorescence in situ hybridization
Two probes were used in this study: (1) 5S rDNA
isolated from Triticum aestivum – pTa 794 (Gerlach
& Dyer 1980) labeled with rhodamine-4-dUTP, and
(2) 25S rDNA isolated from Arabidopsis thaliana
(Unfried & Gruendler 1990) labeled with digox-
ygenin-11-dUTP by nick translation (Roche). 25S
rDNA was used to determine the localization of 45S
rRNA genes (18S-5.8S-25S rDNA). The labeling
procedure is described in detail in Hasterok et al.
(2001).
FISH was applied according to the method
described by Schwarzacher and Heslop–Harrison
(2000) with some modifications. The slides were
pretreated with RNase (100mg/ml), post-fixed in 1%
aqueous formaldehyde in PBS buffer, washed in 2
£ SSC, dehydrated in ethanol, and air-dried. The
Karyological instability of Viola tricolor 603
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hybridization mixture consisted of 2.0–3.0 ng/ml ofeach probe, 50% deionized formamide, 10% dextran
sulfate, 0.5% SDS (sodium dodecyl sulfate), 2
£ SSC, and salmon sperm blocking DNA in a 50–
100 £ excess of DNA probes. Slides with chromo-
somes and predenatured probe (758C for 10min)
were denatured together at 728C for 4.5min in an
in situ thermal cycler (Hybaid). Hybridization was
carried out overnight at 378C in a humid chamber.
After post-hybridization washes (10% formamide in
0.1 £ SSC for 2 £ 4min at 428C), immunodetection
of digoxigenated probes was carried out with FITC-
conjugated anti-digoxigenin antibodies (Roche)
according to the standard protocol. Dehydrated
preparations were mounted and counterstained
in Vectashield (Vector Laboratories) containing
2.5mg/ml 40,6-diamidino-2-phenylindole (DAPI,
Sigma). The chromosome spreads were observed
with an Olympus Provis AX epifluorescence micro-
scope using the proper filter set. Images were
captured with a Hamamatsu C5810 CCD camera
and were processed with Adobe Photoshop 7.0 and
Micrografx (Corel) Picture Publisher.
The x 2 test in Statistica ver. 7.0 was used for
comparison of chromosome rearrangement
frequencies.
Chromosome measurement and karyotype formula
For chromosome measurements, four to six well-
spread metaphase plates with similarly condensed
chromosomes and standard chromosome number
(2n ¼ 26) were selected. Chromosomes were classi-
fied according to Levan et al. (1964). Chromosome
length measurements were carried out using Image
Tool ver. 3.0, and the chromosome grouping in
homologous pairs and calculations in Mr Karyo ver.
3.10 (by Tokarski & Joachimiak). In the ideograms,
chromosomes are arranged by length, not by
centromere position.
Results
Interpopulation karyotype variability
Interpopulation variability in the karyotype structure
of V. tricolor was found. The karyotype of seedlings
from ZM consisted of 22 metacentric, 2 submeta-
Table 1. Chromosome length and morphology in karyotypes of Viola tricolor from non-metallicolous (ZM) and metallicolous (BH)
populations.
Chromosome numberChromosome length (mm) Longer arm length (mm) Arm ratio
Chromo-
some type
ZM BH ZM BH ZM BH ZM BH
1 9.70 ^ 0.38 7.68 ^ 0.32 5.04 ^ 0.23 4.16 ^ 0.32 1.08 ^ 0.06 1.18 ^ 0.02 M m
2 8.07 ^ 0.70 6.09 ^ 0.48 4.29 ^ 0.31 3.28 ^ 0.08 1.13 ^ 0.09 1.17 ^ 0.08 m m
3 7.12 ^ 0.27 6.08 ^ 0.13 4.02 ^ 0.18 4.00 ^ 0.16 1.30 ^ 0.14 1.92 ^ 0.05 m sm
4 6.54 ^ 0.21 6.00 ^ 0.14 3.80 ^ 0.28 4.40 ^ 0.12 1.39 ^ 0.23 2.75 ^ 1.21 m sm
5 6.30 ^ 0.37 5.12 ^ 0.32 3.97 ^ 0.48 2.88 ^ 0.32 1.71 ^ 0.35 1.28 ^ 0.34 m m
6 6.23 ^ 0.48 5.10 ^ 0.2 3.73 ^ 0.53 4.30 ^ 0.2 1.50 ^ 0.24 2.98 ^ 0.12 m sm
7 6.21 ^ 1.23 4.96 ^ 0.16 4.99 ^ 1.38 3.2 ^ 0.32 4.09 ^ 1.14 1.53 ^ 0.32 st m
8 5.84 ^ 0.42 4.46 ^ 0.63 3.47 ^ 0.41 2.78 ^ 0.43 1.46 ^ 0.21 1.65 ^ 0.24 m m
9 5.57 ^ 0.44 4.00 ^ 0.16 3.03 ^ 0.38 2.4 ^ 0.08 1.20 ^ 0.18 1.5 ^ 0.24 m m
10 5.45 ^ 0.38 3.84 ^ 0.01 3.11 ^ 0.17 2.08 ^ 0.16 1.32 ^ 0.33 1.18 ^ 0.06 m m
11 5.25 ^ 0.31 3.83 ^ 0.02 3.52 ^ 0.36 2.16 ^ 0.08 2.02 ^ 0.35 1.28 ^ 0.23 sm m
12 5.07 ^ 0.46 3.76 ^ 0.08 2.71 ^ 0.33 2.00 ^ 0.08 1.14 ^ 0.11 1.13 ^ 0.04 m m
13 5.00 ^ 0.41 3.60 ^ 0.08 2.84 ^ 0.23 2.1 ^ 0.02 1.31 ^ 0.14 1.82 ^ 0.33 m sm
Note: Classification of chromosome types taken from Levan et al. (1964). For population abbreviations see materials and methods.
1 2 3 4 5 6 7 8 9 10 11 12 13
1 2 3 4 5 6 7 8 9 10 11 12 13
A
B
Figure 1. Ideograms of Viola tricolor from non-metallicolous ZM
(A) and metallicolous BH (B) populations. 1 scale unit < 1.2mm.
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centric, and 2 subtelocentric chromosomes
(2M þ 20m þ 2sm þ 2st) (Table I, Figures 1A and
2A). The karyotype of the material from polluted
area BH was more uniform and contained only
metacentric and submetacentric chromosomes
(18m þ 8sm) (Table I, Figure 1B).
Chromosome rearrangements
Altered karyotypes in 28% of the 76 metaphase
plates from ZM and 29% of the 59 from BH, both
within and between plants, without interpopulation
differences (l 2 ¼ 0.03, 0.5 , P , 0.9) were
observed. The most common chromosome
mutations were chromosome fissions leading to the
formation of separate acentric fragments and
translocation of them (Figure 2B–D), which resulted
in increased or decreased chromosome numbers in
some cells (Figure 2D).
In plant material from the non-metallicolous as
well as the metallicolous populations, intra- and
interindividual variability in the number, size, and
distribution of 25S rDNA and 5S rDNA loci was
found. For both populations, the most frequent were
three to five hybridization signals of 25S rDNA and
six to eight signals of 5S rDNA (Figure 2E–I) on
chromosomes. Usually four, rarely three or five 25S
rDNA loci, were terminally located (Figure 2E–I).
Only two of the 25S rDNA loci were transcriptionally
active as confirmed by silver staining (Figure 2J) and
adjacent to GC-rich but not AT-rich heterochroma-
tin, as shown by double DAPI/CMA3 staining
(Figure 2K,L). The odd numbers of 25S rDNA
loci were likely a result of chromosome rearrange-
Figure 2. Standard metaphase plate (A), chromosome structural mutations (B–D), distribution of rDNA loci (E–I), and marker
chromosomes (J–L) in karyotype ofViola tricolor plants from non-metallicolous ZM (A–E, J) and metallicolous BH (F–I, K, L) populations.
(A) Euploid 2n ¼ 26 metaphase plate stained with DAPI; (B–D) deficiencies (arrows) and translocations (arrowhead) in euploid 2n ¼ 26
(B,C) and aneuploid 2n ¼ 27 (D) metaphase plates; (E–I) euploid 2n ¼ 26 (E–H) and aneuploid 2n ¼ 27 (I) metaphase plates stained with
DAPI with six to eight red 5S rDNA signals on six chromosomes and three to five green 25S rDNA signals on three to five chromosomes; note
subterminally located 5S rDNA loci (E, G–I; arrows) and weak condensed chromatin in nucleolar organization regions (NOR) (H, I;
arrowheads); (J) euploid 2n ¼ 26 metaphase plate with nucleolar organization regions (NOR) on two chromosomes (arrows) after silver
staining; (K,L) euploid 2n ¼ 26 metaphase plates with chromosomes poor in DAPI-stained AT sequences (K; arrows) but rich in
chromomycin-stained GC sequences A3 (L; arrows) – reverse DAPI/chromomycin A3 staining. All bars ¼ 10mm.
Karyological instability of Viola tricolor 605
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ments including rRNA genes, both in euploid
(Figure 2H) and in aneuploid (Figure 2I) cells. 5S
rDNA loci were located the most frequent terminally
but sometimes also subterminally (Figure 2E,G–I).
Their size and distribution were extremely variable
within and between plants in both populations
(Figure 2E–I).
Discussion
These results support the assertion that species from
the evolutionary young taxa including recently
formed hybrid origin species (homoploid speciation)
and allopolyploids are karyologically unstable (Rie-
seberg 2001; Dadejova et al. 2007; Chester et al.
2012; Peruzzi et al. 2012). The differences in
chromosome types with respect to the symmetry in
V. tricolor are not due to heavy metal pollution, as
interpopulation variability has been found in differ-
ent non-polluted populations in Poland
(2M þ 20m þ 2sm þ 2st; present results), Germany
and Italy (4M þ 14m þ 8sm; Lausi & Cusma Verali
1986; Kellner unpubl.), and the Czech Republic
(8M þ 8m þ 4sm þ 4sm-st þ 2st; Krahulcova et al.
1996). However, intraspecific karyotype differen-
tiation is additionally increased by chromosome
variability in plants from metallicolous populations.
The Polish metallicolous population (BH) had a less
differentiated karyotype, consisting exclusively of
meta- and submetacentric chromosomes
(18m þ 8sm), than the metallicolous Italian popu-
lations, which had a slightly asymmetric karyotype
with two pairs of subterminal chromosomes
(4M þ 8m þ 10sm þ 4st) (Lausi & Cusma Verali
1986). An evident impact of polluted environments
on karyotype differences (mean arm ratio and total
length of chromosomes) has been found in other
species such as Myosotis stenophylla growing on
serpentine and non-serpentine soils (Stepankova
1996) but it does not seem to be the rule: Silene
maritima has a stable karyotype in non-polluted and
in metal-polluted populations (Cobon & Murray
1983).
The relatively high karyological variation we
found, 29% in BH and 28% in ZM, revealed as
structural rearrangements of chromosomes within
and between V. tricolor plants from metallicolous and
non-metallicolous populations, adding to the weight
of evidence that plant species with an unstable
karyotype are favored in adverse environmental
conditions, as they can change rapidly (Coulaud
et al. 1999; Nkongolo et al. 2001; Degenhardt et al.
2005; Sedel’nikova & Pimenov 2007; Seehausen
et al. 2008). The difference in the frequency of
karyotype alterations in V. tricolor between plants
from the metal-polluted and non-polluted areas was
not significant, unlike in other metal-tolerant plants
with flexible genomes, such as Armeria maritima,
Deschampsia cespitosa, and Larix sibirica (Coulaud
et al. 1999; Nkongolo et al. 2001; Sedel’nikova &
Pimenov 2007). Besides the rearrangement of large
chromosome fragments, also responsible for the
alteration of the V. tricolor karyotype were the
movements of small acentric chromosome fragments
containing rDNA loci, combined with the high intra-
and interindividual variability of the number of those
loci. Rearrangement of rDNA usually is a very rapid
process; it is recognized to be functionally linked with
transposon elements (TE), whose activity in stressful
environmental conditions (e.g. heavy metals) and
genomic processes (e.g. inbreeding and interspecific
hybridization) increases mutation rates by two orders
of magnitude (Fontdevila 1992). The impact of
transposable elements in the environmental adap-
tation of both prokaryotic and eukaryotic organisms
has recently been summarized by Casacuberta and
Gonzalez (2013). The TnAO22 transposon in a
Protobacterium (Achromobacter sp. AO22) is associ-
ated with the mercury resistance system, among the
few such systems reported in a soil bacterium (Ng
et al. 2009). In plants, adaptation to local environ-
ments is associated with TE-induced mutations (e.g.
Kanazawa et al. 2009). Different transposon
elements insert themselves next to or into rDNA
sequences, creating “hot spots” and finally leading to
chromosome splitting (Raskina et al. 2004, 2008).
Simple transfer of rRNA genes to new sites, besides
“traveling” with transposable elements, can also take
place due to ectopic exchange and heterologous
recombination. Irregular clusters, in turn, are targets
for heterologous synapses and recombination with a
possible change of cluster size. Such genetic diversity
emerging with karyotype repatterning enables a
species with a plastic genome to survive as a new
form under intense environmental or genomic
pressure (Belyayev & Raskina 2010; Rebollo et al.
2010). As the differences in chromosome rearrange-
ment frequency between the plant material from the
metalliferous and non-metalliferous sites were neg-
ligible (29% vs. 28%), we may suggest that intense
genomic rather than environmental pressure was
responsible for it. All the observed phenomena in
both the metallicolous and non-metallicolous popu-
lations – chromosome rearrangements, karyotype
diversification (both from this study), variability of
chromosome number, disturbances in mitosis
(Słomka et al. 2011a) – indicate high genetic
instability in this species. The observed chromosomal
rearrangements probably are mildly deleterious, as
they apparently do not reduce plant fitness. Accord-
ing to Rieseberg (2001), such chromosomal
rearrangements seem to protect a part of the genome
from gene flow, fixing a set of alleles simultaneously
and preventing their breakup or loss by crossing back
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to progenitor plants, and surprisingly they do not
favor genetic divergence (Strasburg et al. 2009).
Both present and former (Słomka et al. 2011a)
results on extensive chromosomal alteration together
with great variability in morphological characters and
lack of genetic barriers manifested as ease to hybridize
with other species from Melanium section (Clausen
1921, 1926; Pettet 1964;Marcussen&Karlsson 2010)
prove evolutionary recent origin of V. tricolor.
Conclusions
(1) The karyotype of V. tricolor is variable. Our
present data and literature data indicate that
there is no uniform karyotype formula for plants
from different areas of its distribution.
(2) Divergent karyotypes were found in material
originating from a non-polluted area as well as
from an area polluted with heavy metals,
suggesting no evident impact of heavy metal
pollution on karyotype alteration.
(3) The metalliferous environment did not increase
the number of chromosome rearrangements,
which occurred in both population types at a
high frequency of almost 30%. Genomic rather
than environmental stress seems responsible for
the chromosome alterations.
(4) The genomic instability ofV. tricolor,manifested in
chromosome number variability and chromo-
some repatterning, apparently allows this species
to inhabit and tolerate elevated concentrations of
heavymetals in soils, rather than being an effect of
acquisition of heavy metal tolerance.
Acknowledgements
This work was funded by the Polish Ministry of
Science (Project Nos. 3861/B/P01/2007/33 and
3935/B/P01/2009/36) and by the Jagiellonian Uni-
versity from funds for the statutory activity of the
young scientists (K/DSC/000830), and with the first
author’s financial support from the Polish Science
Foundation.
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