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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Evaluation of Adaptive Properties of the Spring Barley Varieties Using Mathematical Analysis</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Galina A. Murugova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nadezhda A. Pavlova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexey G. Klykov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Federal Scientific Center of Agrobiotechnology in the Far East named after A. K. Chaika</institution>
          ,
          <addr-line>Ussuriysk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2019</year>
      </pub-date>
      <fpage>16</fpage>
      <lpage>19</lpage>
      <abstract>
        <p>Studies on the parameters of ecological adaptability of spring barley varieties in the conditions of Primorsky krai were carried out in 20152018 in the Federal State Budget Scientific Institution “Federal Scientific Center of agribiotechnology in the Far East named after A. K. Chaika”. New mathematical approaches to solving the problems of selection of parent pairs for crossing, which included selected varieties-sources with high grain weight per plant with ecological plasticity, were considered: Erofey, Harkovsky111, Krinichny, Runis and other. As a result of the released ecologically plastic variety samples, a new source material was developed (Primorsky 153 (Primorsky 44 x Patty), Primorsky 167 (Primorsky 5097 x K-19907 x Runis), Primorsky 184 (Primorsky 5021 x Krinichny), Primorsky 212 (Primorsky 44 x Keystone), which is studied in all parts of the breeding process. The most adaptive variety for Primorsky Krai is Primorsky 184 (Primorets) in 2018, it was transferred to the State Variety Testing.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
    </sec>
    <sec id="sec-2">
      <title>Materials and Methods</title>
      <p>
        The work was performed in field and laboratory conditions at the Laboratory of breeding of grain and cereal crops
at FSBSI "Federal scientific center of agrobiotechnology in the Far East named after A. K. Chaika" in 2015-2018.
The objects of the study were six varieties of the competitive variety testing, developed with the participation of
source varieties identified by the parameters of adaptability [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ].
      </p>
      <p>
        Parameters of ecological plasticity of the studied varieties were evaluated using methodics of S. A. Eberhart and
W. A. Russell in the presentation of V. A. Zykina [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. Stress resistance (Ymin – Ymax) was calculated according to A.
A. Rossell, J. 2002. Hamblin as presented by A. A. Goncharenko [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>
        The stability index (SI), an indicator of stability level of the variety (ISLV) –according to E. D. Nettevich [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]
according to formulas 1, 2, the standard deviation ( 2) and coefficient of variation (V,%) is calculated according to B.
A. Dospehov [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] using formula 3, homeostaticity (Hom) and breeding value (Sc 2) – by V. V. Hangildin [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] using
formulas 4, 5. Statistical processing of the experimental material was carried out according to B.A. Dospehov [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
      <p>ИС = xcp / V % (1)
Variability is considered to be:
a) insignificant if V&lt;10 %
b) average, if V = 10...20 %
с) significant if V &gt; 20 %
where υ is the average kwadro deviation,
xopt is a maximum value of the trait,
x lim is a minimum value of the trait,
xcp is an average value of the trait.
xopt is a maximum value of the trait,
x lim is a minimum value of the trait,
xcp is an average value of the trait.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Results</title>
      <p>S</p>
      <p>X
ПУСС = Хcp  ИС
V =</p>
      <p>,
Sc = xср  xlim ,</p>
      <p>
        In breeding work at FSBSI “Federal scientific center of agrobiotechnology in the Far East named after A. K.
Chaika” the main method of development a new source material for spring barley is intraspecific hybridization
followed by individual selection. The parent forms were selected for the adaptive properties and the
ecologicalgeographical principle by mathematical analysis of quantitative traits, which provide direction in the selection. Into
the crossing there were included defined varieties-sources with high grain weight per plant with ecological plasticity:
Yerofey, Radical, Nutans 642 and Acha (Russia), Kharkovsky 111 (Ukraine), Gonar (Republic of Belarus), Krinichny
(Republic of Belarus), Colter and Orest (USA), Samson, Keystone and Kimberly (Canada), Runis (Mongolia), Patty
(France), Marecu, Dorina and Nebi (Germany) [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ].
      </p>
      <p>As a result of the selection process with the participation of the studied source varieties the most productive ones
were identified: Primorsky153 (Primorsky 44 x Patty), Primorsky 167(Primorsky5097 x-19907 x Runis), Primorsky
184 (Primorsky 5021 x Krinichny), Primorsky 212 (Primorsky 44 x Keystone) which developed high yield in during
three years, providing an addition to the standard at the level of 10-20 %.</p>
      <p>In the analysis of the obtained lines, which were studied in 2015-2018 in the competitive test, the main
economically valuable features were taken into account: productive tillering, ear length, plant height, number of
grains per ear, weight of 1000 grains, weight of grain per plant.</p>
      <p>The highest yield and its constituent elements were obtained from Primorskiy 184 and Primorskiy 153 varieties,
which have a true excess compared to the Primorskiy 98 standard by 1.8 t/ha (Table 1). Variety Primorsky 153 (22.8
pcs.) stood out by the ear grain content.</p>
      <p>
        The adaptability of varieties to environmental conditions, first of all, is judged by the plasticity and stability of
their yield, as the most important quantitative trait. Evaluation of samples by parameters of stability and plasticity is
possible by studying them in sharply contrasting environmental conditions for several years, which is especially
important in Primorsky krai, where during the vegetation period the frequent weather changes limit realization of the
potential productivity of varieties, and plants are largely exposed to adverse vegetation conditions, which indicates a
wide range of variation, both productivity and other quantitative traits over the years [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>The stability variance of the trait shows how reliably the variety corresponds to the plasticity which was estimated
by the regression coefficient calculated by the formula (6).</p>
      <p>bi =
 X y  I j ,</p>
      <p> I 2j
where  Xy  Ij is the sum of the yield results
i-th variety for the j-th year by the corresponding value of the index of environmental conditions;
 I 2j is the sum of the squares of the index of environmental conditions.
,
e
u
l
a
v
g
in c
d S
e
e
r</p>
      <p>B
1.9
2.9
2.9
3.3
3.1
2.7
1.6
Calculation of the variance of stability (S2d) were calculated according to the formula in several stages:
1) First, they find the values of the theoretical yield:</p>
      <p>X  j = X  + bi  I j
2) Then, determine the deviation of the actual yield from the theoretical formula:
3)</p>
      <p>Next, we calculate the variance of the yields stability:
where   i2 j is the sum of the squares of deviations of the actual yield from the theoretical;
n is the number of years.</p>
      <p>Studies have shown that intensive varieties include: Primorsky 153 (bi=1,3), Primorsky184 (bi=1,2), Pacific
(bi=1,6) and East (bi=1,7) (Table 2). They respond well to the improvement of growing conditions.</p>
      <p>To varieties with reduced responsiveness to environmental conditions for yield refers Primorsky 212 (bi=0,8;
S2di=1,9). It is characterized by the lowest regression coefficient (bi), reliably different from 1 into the smaller side. It
responds poorly to changes of environmental factors.</p>
      <p>The level of resistance of varieties to stressful growing conditions reflects the difference between the minimum
and maximum yield of Ymin-max , which has a negative sign. The smaller is the gap between the minimum and
maximum crop productivity, the higher is the stress resistance of the variety and the wider is the range of its adaptive
capabilities. The higher is the breeding value, the more valuable is the variety, and these varieties have high rates of
breeding value.</p>
      <p>The most important indicators of adaptive properties are the regression coefficients of yields on the indices of
environmental conditions. During the years of the study, the most favorable conditions during the growing season
were 2015 and 2018, where Ii (the environment index) was 0.8 and 0.2, respectively. The index of environmental
conditions was calculated using the formula:
  X i j  − </p>
      <p>   X i j </p>
      <p>I j =     lАlВ </p>
      <p>In 2016, there were unfavorable conditions caused by heavy precipitation (389 mm) and the minimum
temperature during the growing season, which indicates a negative value (I i= -0.9). The intersection of the average
productivity in the test, which coefficient regression is equal 1, with the yield ordinate which was recovered from
the point with the index of environmental conditions, which is always equal to zero , puts the average – 3.8 t/ha
(Fig. 1). The regression lines of yield of Primorskiy 184, Primorskiy 153 and Primors kiy 167 varieties are higher
than the average point of the test, which is expressed by a higher level of harvest on average over the years of
research.</p>
      <p>In general, the comparison of regression coefficients and stability variance allows to characterize varieties by their
response to changing environmental conditions and helps in the selection of varieties for different levels of
agricultural production. As a result of researches in the competitive test there were defined the grades which possess
high plasticity and stability: Primorsky 153 (Primorsky 44 x Patty) and Primorsky184 (Primorsky5021 x Krinichny).</p>
      <p>The zoned varieties Tihookeansky and Vostochny, are characterized by high plasticity, present good results of
grain harvest in the conditions of monsoon climate in Primorsky Krai. The varieties can form grain yield more than 4
t/ha in the production conditions.</p>
      <p>One of the directions in breeding work with barley is development of varieties of brewing direction. To meet the
needs of the brewing industry in the region is largely possible through the production of malting barley in the region.
In solving this important problem, the primary role belongs to the variety that is able to form high-quality grain in the
appropriate conditions of cultivation.</p>
      <p>The most valuable in terms of brewing are large fractions of grain, and the best are malting barley which have a
mass of 1000 grains from 37,0 to 48,0 g. The weight of 1000 grains of spring barley varieties ranged from 35.2g. of
Vostochny variety to 43,9 g. of Tihookeansky variety. The research showed that the protein content in grain samples
of spring barley in the competitive variety testing varied from 9,8 g. of variety Vostochny to 11.6 g. in variety
Primorsky184 and Primorsky212, the starch content varied from 55,2 g. in the variety Primorsky167 to 62,5 g. in the
variety Primorsky 98 (Table 3). Filminess of the varieties was in the range of 6.1 to 9.0 %.</p>
      <p>Conclusion
̅
Х</p>
      <p>
        As a result of calculating experiments, the method S. Eberhart and W. Russell [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] it allowed to identify the
varieties with a low sensitivity of the trait to changes in growing conditions – Primorsky 167 (bi=0,8-protein;
bi=0.9starch) and Primorsky 184 (bi= 0,9-protein; bi=0.8 for starch). In combination with the increased protein content in
the grain, these varieties are of particular value as capable to steadily develop high quality grain in different
agricultural conditions (Table 4). Analysis of economically valuable traits of the varieties showed that the most
variable characteristics are productivity and filminess.
      </p>
      <p>Thus, evaluation of the adaptive capacity and stability of genotypes by methods of mathematical analysis increases
the efficiency of the final stage of selection, reduces the possibility of errors in the selection of varieties for
transferring them into the State testing. The above results of the use of modern statistical methods indicate the wide
possibilities of their use in breeding. As a result of the parameters of adaptability, there were defined varieties by a set
of indicators, they are as follows: Primorskiy 153 and Primorskiy 184 (Primorets). In 2018 Primorets was transferred
to the State Commission of the Russian Federation for testing and protection of breeding achievements.
53.4
52.6
54.4
54.9
55.7
59.3
54.5
̅
Х</p>
    </sec>
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