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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>in Wood Samples Identification</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alexey S.Pyataev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexey A. Ibe</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Elena A. Shilkina</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Branch of FBI «Russian Centre of Forest Health» - «Centre of Forest Health of Krasnoyarsk Krai»</institution>
          ,
          <addr-line>Akademgorodok 50A building 2, Krasnoyarsk, Russia, 660036</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Reshetnev Siberian State University of Science and Technology</institution>
          ,
          <addr-line>Krasnoyarsky Rabochy Av 31, Krasnoyarsk, Russia, 660037</addr-line>
        </aff>
      </contrib-group>
      <fpage>2</fpage>
      <lpage>7</lpage>
      <abstract>
        <p>This paper proposes a method for determining the microsatellite markers combination used to study the genetic structure of a woody plant population using the example of Pinus sylvestris. The developed method optimizes genetic analyzes conduction in the tasks of the forest genetic resources state monitoring. Over the past decade due to the negative economic and environmental consequences of illegal logging increasing attention has been paid to the origin of timber products in the world [1,2]. Statistics of imports and exports conducted by WWF experts in 2008 showed that a significant amount of illegally harvested wood enters the European and Chinese markets from Russia and Eastern Europe. In the Russian Federation only in 2008-2016 period were recorded 197,228 cases of illegal logging, total damage amounted to 104.5 billion rubles, reimbursed - 2.83 billion rubles. (2.7% of the amount of damage assessed). Illegal forests use has been identified in almost all regions of the Russian Federation [3]. In order to prevent these offenses, law enforcement authority officers should be able to conclusively identify the true origin of the wood transported [4]. One of the promising areas of evidence of the timber trade legality is the use of molecular-genetic methods of analysis. These methods are based on the using of genetic markers - microsatellites - varying regions (loci) in nuclear DNA and DNA of organelles (mitochondria and plastids) consisting of tandemly repeated nucleotide sequences. These markers are characterized by a high level of polymorphism and are often found in the genome [5]. The molecular-genetic method compared with the traditional denrochronological identification avoids timely collection of data such as tree age, diameter, height, thickness. The insufficient number or lack of clear annual rings due to wood decay severely limits the use denrochronological identification of wood samples [6]. However, nowadays there are no methods that allow to obtain minimal combinations of molecular primers that give the lowest probability of a coincidence of related multi-focused genotypes. Thus, the task of developing a method for determining the optimal sequence of microsatellite markers used to study the genetic structure of a woody plant population using the example of Scots pine is an urgent one.</p>
      </abstract>
      <kwd-group>
        <kwd>genetic structure</kwd>
        <kwd>microsatellite markers</kwd>
        <kwd>Pinus sylvestris</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>The microsatellite markers combination determination method</p>
      <p>
        Wood samples of pine (Pinus sylvestris L.) taken from plantations growing near the Balakhta in the Krasnoyarsk
Krai served as a reference sample. The selection cotained 29 samples, which is representative and accepted in the
analysis of nuclear codominated nuclear markers. In molecular genetic studies, the average number of samples in the
selection less than 30 individuals per cenopopulation [
        <xref ref-type="bibr" rid="ref7 ref8">7-8</xref>
        ]. Basic methodology for the DNA study relies on the
following stages, i.e., DNA extraction (based on the lysis of cell walls), DNA amplification via polymerase chain
reaction (PCR) method with specific primers for nuclear microsatellite or organelle alleles, genotyping of the PCR
products in automated sequencer, and finally comparison of the DNA profiles obtained for all samples. The wood was
thoroughly crushed, homogenized, and the DNA was isolated by the CTAB method [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. The method is based on the
cells breakdown under the cetyltrimethylammonium bromide (CTAB) effect, the removal of proteins using
chloroform and the precipitation of DNA with isopropanol. PCR was performed with the use of a commercial kit of
reagents "ScreenMix" (JSC "Eurogen", Russia). Amplification was carried out in the thermal cycle T100 Thermal
Cycler (BioRad). The amplification products were separated by electrophoresis on 6% polyacrylamide gel using
TrisBorate-EDTA electrode buffer and stained with ethidium bromide. PCR products were visualized by UV using gel
documentation system (Figure 1). Data analysis was performed using Vilber Lourmat Bio Capt V. 12.5.0.0 software.
      </p>
      <p>
        As a result of preliminary work to identify the most polymorphic and stably amplifying loci, 10 microsatellite
markers were selected. Table 1 presents the characteristics of recommended nuclear microsatellite loci for Scots pine
[
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13">10–13</xref>
        ].
      </p>
      <p>
        Currently, the processing of the results of genetic analysis is carried out using proprietary software GenAlEx [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ],
a free add-in for MS Excel. The results obtained using the GenAlEx program are shown in Table 2. The smallest
chance of a coincidence of multilocus genotypes (2.2E-08) is achieved only with 10 genetic markers combination:
psy119, psy157, PtTx3116, PtTx3107, PtTx4001, lw_isotig21953, PtTx4011, SPAC11.4, lw_isotig04306,
lw_isotig27940. This value indicates a low probability of random genotypes coincidence [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. The order of genetic
markers is presented in table 1 and in figure 2.
      </p>
      <p>Identity probability
1+2
1+2+3
6,3 ∙ 10−3
1,3 ∙ 10−3
6,6 ∙ 10−5
2,3 ∙ 10−5
1,5 ∙ 10−6
2,3 ∙ 10−7
2,2 ∙ 10−8</p>
      <p>Genetic analysis conduction of the identity of wood samples determination, using all 10 markers, is very laborious
and expensive. To reduce these costs is proposed a method for determining the optimal minimum sequence of
markers to eliminate false positive sample identification. The purpose of the method proposed is to find a number and
sequence of markers that will give the minimum probability of false-positive sample identification.</p>
      <p>The method proposed in this paper is based on the analysis of the alleles pairs occurrence
of each locus among
the samples of a deliberately unique selection. As a reference selection used samples of Scots pine, taken from natural
plantation, growing near the Balakhta in the Krasnoyarsk Krai. The reference selection contains 29 numbered unique
samples and initially tested with 10 markers.</p>
      <p>1.2E+00
1.0E+00
y
t
ili 8.0E-01
b
a
b
y
t
i
d
I
ro6.0E-01
p
t
en4.0E-01
2.0E-01
0.0E+00</p>
      <sec id="sec-1-1">
        <title>Let us denote</title>
        <p>Locus combinations
genetic markers.</p>
        <p>= {  ,  = 1. .10},
lw_isotig
…</p>
        <p>SPAC 11.4
146/156
138/142
187/193
187/187
184/187
187/193
175/187</p>
        <p>…
184/187
178/187
193/193
187/193
187/187
193/193
lw__isotig04306
175/187
178/187
181/187
184/184
184/187
184/193
187/187
187/193
193/193
247/247
247/247</p>
        <p>The next stage of the method is to rank the sets of identifiers   grouped in pairs from the sets   by the number
of unique pairs, i.e. in priority   , in which the maximum number |  ( )| = 1.
intersection of only those sets, which are subsets of a capacity at least two:</p>
        <p>Then there is an iterative process of intersection of sets   . Each set of grouped genotypes intersects with other
sets of grouped genotypes. The first step of the iteration is a pairwise intersection of the sets   . The results of the
Then   are ranked in cardinality ascending. At the next iterations,  intersects with the remaining   :

= {  =   ( ) ∩   ( ): |  | &gt; 1;  ,  ,  ,  ,  ∈  ;  ,  &lt; 30;  ,  ≤ 10}.</p>
        <p>=</p>
        <p>∩   .</p>
        <p>The process continues until the intersection becomes an empty set. Thus, by analyzing a test selectionin a similar
way, it is possible to obtain an optimal sequence of markers that uniquely identifies samples of the test species.</p>
        <p>For Scots pine samples, taken in natural plantation growing growing near the Balakhta in the Krasnoyarsk Krai,
the optimal minimal combination of genetic markers was the sequence lw_isotig21953, SPAC11.4, PtTx3107.</p>
      </sec>
      <sec id="sec-1-2">
        <title>To verify the</title>
        <p>method, a control group of Scots pine
wood from the same plantation
was selected and
analyzedTable 5 presents the results of grouping samples of the control group according to the values of the
lw_isotig04306 marker alleles.</p>
        <p>ids
178/187
181/187
184/184
184/187
184/193
187/187
187/193
193/193</p>
        <p>6
6+8
6+8+4
6+8+4+10
{15,16}
{24,23}
{14,13,22}
{9,19,21}</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>Conclusion</title>
      <p>To determine the identity of Scots pine samples , taken in natural plantation growing near the Balakhta of the
Krasnoyarsk Krai, the sequence of genetic markers {lw_isotig21953, SPAC11.4, PtTx3107} was the minimum
optimal combination. The effectiveness of the selected sequence of markers tested on the control group. The proposed
method of the optimal sequence microsatellite markers selection can significantly reduce labor, time and material
costs in the wood samples identity determination. In further studies, it is planned to use this algorithm for the marker
selection in relation to other sets to similar genetic analysis.</p>
    </sec>
  </body>
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