<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-9965</journal-id>
<journal-title><![CDATA[Agronomía Colombiana]]></journal-title>
<abbrev-journal-title><![CDATA[Agron. colomb.]]></abbrev-journal-title>
<issn>0120-9965</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia, Facultad de Agronomía]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-99652012000300002</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Analysis of genetic effects of major genes on yield traits of a pea (Pisum sativum L.) cross between the Santa Isabel x WSU 31 varieties]]></article-title>
<article-title xml:lang="es"><![CDATA[Análisis de efectos de genes mayores sobre rasgos de rendimiento en arveja (Pisum sativum L.) a partir del cruzamiento de las variedades Santa Isabel x WSU 31]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gómez]]></surname>
<given-names><![CDATA[Gustavo E]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ligarreto]]></surname>
<given-names><![CDATA[Gustavo A]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Colombia Faculty of Agronomy Department of Agronomy]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Nacional de Colombia Faculty of Agronomy Department of Agronomy]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2012</year>
</pub-date>
<volume>30</volume>
<numero>3</numero>
<fpage>317</fpage>
<lpage>325</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-99652012000300002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-99652012000300002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-99652012000300002&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Generation means and heritability analyses were conducted to estimate dominance, additive, maternal and gene interaction effects controlling eleven agronomic characteristics related with production in the pea. Ten generations (P1, P2, F1, F2, RC1, RC2 and each reciprocal generation) from a cross between the Santa Isabel and WSU 31 varieties were sown in two different environments for the present study. Eleven characteristics were evaluated: the time between sowing and flowering (I), the time between sowing and pod formation in the first reproductive node (FPod) and the height of the first reproductive node (H1RN), which were used as earliness indicators; as components of yield, the number of pods per plant (PxP), number of seeds per plant (SxP), number of seeds per pods (SxPod) and 100-seed weight (W100) were evaluated; and as variables associated to the yield, the pod width (PW), pod length (PL), lateral branch number (LBN) and plant height (PH) were evaluated. The results did not show maternal gene effects for the evaluated traits; environmental effects were found in PxP, SxP, SxPod, SFl, FPod and PL; genotype x environment effects were found in PW and W100. All characteristics except SxP and PxP had additive gene effects. The results showed that W100, PW and PL were the characteristics with the highest values for selection]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este trabajo se realizó la estimación de los efectos genéticos dominantes, aditivos, maternos y de interacción genética en once caracteres agronómicos relacionados con la producción en arveja. En diez generaciones (P1, P2, F1, F2, RC1, RC2 y cada generación recíproca) originadas del cruzamiento entre las variedades Santa Isabel y WSU 31, sembradas en dos ambientes distintos. Se evaluaron once caracteres: tiempo de siembra a floración (I), tiempo entre la siembra a la formación de vainas en el primer nudo reproductivo (FPod) y la altura al primer nudo reproductivo (H1RN) como indicadores de precocidad; como componentes de rendimiento fueron evaluados el número de vainas por planta (PxP), número de semillas por planta (SxP), número de semillas por vaina (SxPod) y el peso de 100 semillas (W100); y como variables asociadas al rendimiento fueron evaluadas el ancho de la vaina (PW), longitud de la vaina (PL), número de ramas laterales (LBN) y la altura de la planta (PH). Los resultados no mostraron efectos ambiental para los caracteres estudiados; se encontró efecto materno en PxP, SxP, SxPod, SFl, FPod y PL; efecto de la interacción genotipo x ambiente detecto en PW y W100. Todos los caracteres presentaron efectos genéticos aditivos significativos con excepción del PxP y SxP. Los resultados mostraron que el peso de W100, PW y PL fueron los caracteres con valores más altos para selección]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[heritability]]></kwd>
<kwd lng="en"><![CDATA[heterosis]]></kwd>
<kwd lng="en"><![CDATA[additivity]]></kwd>
<kwd lng="en"><![CDATA[dominance]]></kwd>
<kwd lng="en"><![CDATA[genotype x environment interaction]]></kwd>
<kwd lng="es"><![CDATA[heredabilidad]]></kwd>
<kwd lng="es"><![CDATA[heterosis]]></kwd>
<kwd lng="es"><![CDATA[aditividad]]></kwd>
<kwd lng="es"><![CDATA[dominancia]]></kwd>
<kwd lng="es"><![CDATA[interacción genotipo x ambiente]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="verdana" size="2">     <p align ="left">PLANT BREEDING, GENETIC RESOURCES &amp; MOLECULAR BIOLOGY</p>       <p align="center"><font size="4"><b>Analysis of genetic effects of major genes on yield traits of a pea (<i>Pisum    sativum</i> L.) cross between the Santa Isabel x WSU 31 varieties</b></font></p>       <p align="center"><font size="3">An&aacute;lisis de efectos de genes mayores sobre rasgos de rendimiento en arveja (<i>Pisum sativum</i> L.) a partir del cruzamiento de las variedades Santa Isabel x WSU 31</font></p>       <p align="center">Gustavo E. G&oacute;mez<sup>1</sup> and Gustavo A. Ligarreto<sup>2</sup></p> <sup>1</sup>Assistant Conversion Manager, AgReliant Genetics, LLC. Lebanon, IN (United States).    <br> <sup>2</sup>Department of Agronomy, Faculty of Agronomy, Universidad Nacional de Colombia. Bogota (Colombia). <a href="mailto:galigarretom@unal.edu.co">galigarretom@unal.edu.co</a></p>     <p>Received for publication: 10 May, 2012. Accepted for publication: 30 October, 2012.</p> <hr>     <p><b>ABSTRACT</b></p>     <p>Generation means and heritability analyses were conducted to   estimate dominance, additive, maternal and gene interaction   effects controlling eleven agronomic characteristics related with   production in the pea. Ten generations (P1, P2, F1, F2, RC1,   RC2 and each reciprocal generation) from a cross between the   Santa Isabel and WSU 31 varieties were sown in two different   environments for the present study. Eleven characteristics were   evaluated: the time between sowing and flowering (I), the time   between sowing and pod formation in the first reproductive   node (FPod) and the height of the first reproductive node   (H1RN), which were used as earliness indicators; as components   of yield, the number of pods per plant (PxP), number of   seeds per plant (SxP), number of seeds per pods (SxPod) and   100-seed weight (W100) were evaluated; and as variables associated   to the yield, the pod width (PW), pod length (PL), lateral   branch number (LBN) and plant height (PH) were evaluated.   The results did not show maternal gene effects for the evaluated   traits; environmental effects were found in PxP, SxP, SxPod,   SFl, FPod and PL; genotype x environment effects were found   in PW and W100. All characteristics except SxP and PxP had   additive gene effects. The results showed that W100, PW and   PL were the characteristics with the highest values for selection.</p>     <p>Key words: heritability, heterosis, additivity, dominance,   genotype x environment interaction.</p>     ]]></body>
<body><![CDATA[<p><b>RESUMEN</b></p>     <p>En este trabajo se realiz&oacute; la estimaci&oacute;n de los efectos gen&eacute;ticos   dominantes, aditivos, maternos y de interacci&oacute;n gen&eacute;tica en   once caracteres agron&oacute;micos relacionados con la producci&oacute;n   en arveja. En diez generaciones (P1, P2, F1, F2, RC1, RC2 y   cada generaci&oacute;n rec&iacute;proca) originadas del cruzamiento entre las   variedades Santa Isabel y WSU 31, sembradas en dos ambientes   distintos. Se evaluaron once caracteres: tiempo de siembra a   floraci&oacute;n (I), tiempo entre la siembra a la formaci&oacute;n de vainas en   el primer nudo reproductivo (FPod) y la altura al primer nudo   reproductivo (H1RN) como indicadores de precocidad; como   componentes de rendimiento fueron evaluados el n&uacute;mero de   vainas por planta (PxP), n&uacute;mero de semillas por planta (SxP),   n&uacute;mero de semillas por vaina (SxPod) y el peso de 100 semillas   (W100); y como variables asociadas al rendimiento fueron   evaluadas el ancho de la vaina (PW), longitud de la vaina   (PL), n&uacute;mero de ramas laterales (LBN) y la altura de la planta   (PH). Los resultados no mostraron efectos ambiental para los   caracteres estudiados; se encontr&oacute; efecto materno en PxP, SxP,   SxPod, SFl, FPod y PL; efecto de la interacci&oacute;n genotipo x ambiente   detecto en PW y W100. Todos los caracteres presentaron   efectos gen&eacute;ticos aditivos significativos con excepci&oacute;n del PxP   y SxP. Los resultados mostraron que el peso de W100, PW y   PL fueron los caracteres con valores m&aacute;s altos para selecci&oacute;n.</p>     <p>Palabras clave: heredabilidad, heterosis, aditividad, dominancia,   interacci&oacute;n genotipo x ambiente.</p> <hr>     <p><b>Introduction</b></p>     <p>Yield and production are affected by one or several major   genes and also by multiple gene interactions, the separation   of these effects is of great importance to understand   the expression at the phenotypic level and to predict the   segregation of a cross evaluated in the field (Changjian   <i>et al.</i>, 1994); this information is important to establish a   crop strategy, in which a greater expression of the desired   genes appears.</p>     <p>Genetic variation of phenologic, morphological and   yield traits, such as flowering start, plant height and seed   weight, can be the result of characteristic segregation   coded by simple genes and also the interaction among   multiple genes; the determination of genetic effects is of   great importance to understand expression at the phenotypic   level and to predict the segregation of characteristics   when a cross between contrasting individuals is carried   out (Changjian <i>et al.</i>, 1994; Lou and Zhu, 2002), allowing   the establishment of a cultivation strategy where a bigger   expression of the desired genes is shown.</p>     <p>A way to evaluate the genetic components of a population is   by starting with the study of its genetic and environmental   variance; genetic variance can be divided into three components:   additive variance, which is associated with the   overall allele effects of the locus; dominance variance, due   to the interaction of effects of the alleles in the locus and   epistatic variance, due to the non-allelic interaction of two   or more loci (Mart&iacute;nez, 1999; Hussein and Aastveit, 2000).</p>     <p>Different methods have been proposed that are based in   populations generated from a cross between two pure   parents (Lou and Zhu, 2002), for the identification of the   effects of genetic components on quantitative traits using   lineal models of mixed distribution generated from generation   means, variances and likelihood based techniques   (Mather and Jinks, 1971; Cockerham, 1980; Elston, 1984;   Kearsey and Pooni, 1996). These types of models have   been used in different crop species, evaluating different   quantitative characteristics such as expression of dwarfism   genes in rice (Changjian <i>et al.</i>, 1994) and seed quality in   cotton (Lou and Zhu, 2002). Starting with these models, it   has been possible to differentiate additive and dominance   effects in specific genes that affect seed quality and plant   height, stability of the genotype among different environments,   to determine patterns of additive heritage among   maternal and embryo effects, and additive effects in oil   content in cotton seeds to determine how susceptible it is   to the influence of environment.</p>     <p>In the pea, the analysis of generation means has been used   to study resistance to pea blight (Mycosphaerella blight)   (Zhang <i>et al.</i>, 2007) and it has been determined that additive   and dominance effects are important in the genetic   control of plant weight and the volume and weight of the   root (Saleh and Gritton, 1994); the heritability, additive and   dominance components that contribute to the inheritance   of resistance to powdery mildew have also been studied   (Kalia and Sharma, 1988).</p>     <p>Often, generation mean models ignore or do not isolate   the maternal effects contribution, producing a bias in the   intent to understand the genetics of a given quantitative   trait (Kearsey and Pooni, 1996). Also, in studies carried   out with generation means in different environments,   often, each one of the environments is analyzed separately   (Rodr&iacute;guez-Herrera <i>et al.</i>, 2000; Zalapa <i>et al.</i>, 2006), which   gives, in some cases, marked differences inside a nonsegregate   generation evaluated in different environments,   which could generate an increase in the error variance of   the generation means, producing non-valid estimators   generated by this method (Mather and Jinks, 1971).</p>     ]]></body>
<body><![CDATA[<p>Genetic models that allow the determination and differentiation   of major gene effects and those that analyze   the interaction of these effects with an environmental   component permit the selection, with more security, of   the types of necessary crosses to increase the presence of   important quantitative traits in a crop for the expression   of desirable yield traits, which permits the determination   of the environment effect on genotype expression.   In the pea, models have been formulated which facilitate   predicting the behavior of yield characteristics and their   interaction with the environment; however, these models   have been carried out for use in areas with seasonal   climate changes and they cannot be employed in the   conditions of a tropical country, such as Colombia. It is   also important to note that there is no knowledge about   the specific cross between the pea variety Santa Isabel   and the variety WSU 31 because all the studies have been   done on dry peas.</p>     <p>In the present study, a model of generation means was   formulated, including maternal effects, to analyze genetic   effects on phenologic and yield traits in pea plants starting   from the crossing of two contrasting pea varieties:   the commercial climbing Santa Isabel pea variety and   the shrub WSU 31 variety. The environmental effect and   the genotype x environment interaction of cultivated   generations in two different locations were analyzed.   Relationships between different components of precocity   and yield were also determined, and the individuals that   presented a bigger yield inside each one of the segregating   generations were selected.</p>     <p><b> Materials and methods</b></p>     <p><b>Plant materials</b></p>     <p>In this study, two pea varieties were used as parentals which   presented morphologically contrasting characteristics in   growth habits; the first parental was the Santa Isabel variety   and the second one was the WSU 31 variety; Santa Isabel   is a climbing pea and may present sizes up to a meter, its   seed is flat and yellow at maturity, it presents medium or   late precocity and does not present resistance to Fusarium   oxysporum f.sp. pisi; while the WSU 31 variety, produced   in the United States at the University of Wisconsin in 1980,   is a shrub or half-climbing, with a height between 0.4 m   and 0.8 m, its mature seed is green and wrinkled, it is a   variety of early precocity and presents resistance to four   breeds of Fusarium oxysporum f.sp. pisi (Haglund and   Anderson, 1987).</p>     <p><b>Offspring generation</b></p>     <p>In order to produce the seeds of each one of the ten necessary   generations to carry out the genetic model (P1, P2,   F1=(1x2), F1R=(2x1), F2=(F1xF1), F2R=(F1Rx F1R), RC1=(1xF1)   RC1R=(F1x1), RC2=(2xF1), RC2R=(F1x2)), three sowing cycles   were performed under greenhouse conditions; in the first   two cycles, the materials were crossed using the technique   of artificial hybridization for emasculation in the pea (Ligarreto   and Pati&ntilde;o, 2004).</p>     <p>In the first cycle, direct and reciprocal crosses were carried   out between the Santa Isabel and WSU 31 varieties to obtain   seed F1; 30 plants of each variety were sowed in spaced   rows of 1.5 m and with a distance of 0.2 m among plants,   to guarantee the genetic constitution of each generation;   the seeds morphological traits were examined because   Santa Isabel produces yellow, flat seeds, WSU 31 produces   green, rough seeds and the cross between them produces   flat, yellow seeds easily identifiable from the parental seeds.   Sixty seeds, F1, were sowed in the second cycle, 30 seeds of   the direct crosses (F1) and 30 seeds of the reciprocal ones   (F1R); and 30 seeds of each one of the parentals were also   sowed, self-pollination was allowed in some flowers of F1   plants to generate F2; from the direct F1 and reciprocal one   (F2R), direct and reciprocal backcrosses were carried out   with the remaining flowers toward both parentals (RC1,   RC1R, RC2, RC2R). Each material was sowed in independent   rows spaced at 1.3 m, in 1 m long parcels and 0.5 m between   parcels at a 0.2 m planting distance.</p>     <p>The third cycle was carried out on two different farms: the   San Francisco farm in the municipality of Madrid, Cundinamarca;   Laguna Large sidewalk and the San Jorge farm   in the municipality of Mosquera, Cundinamarca; in each   environment three replicates of ten generations produced   in two previous cycles were sowed, arranged in a completely   randomized design.</p>     <p><b>Collecting data</b></p>     ]]></body>
<body><![CDATA[<p>Eleven characteristics from each generation were evaluated,   grouped in indicators of precocity and yield components.   The time between sowing and flowering (SFl) was used as   an indicator of precocity that was calculated as the days   lapsed from sowing until the appearance of the first floral   button, the days at fructification or time between sowing   and pod formation in the first reproductive nod (FPod),   measured as when flower petals fell off, leaving the pod exposed;   and the height of the first reproductive nod (H1RN)   taken from the base of the plant, these data were measured   in each sampled plant.</p>     <p>The number of pods per plant (PxP), number of seeds per   plant (SxP), number of seeds per pod (SxPod) and the 100-   seed weight (W100) were measured as yield components.   To determine the 100 dry seed weight, 10 replicates of 100   seeds were randomly taken for each studied generation;   PxP, SxP and SxPod were taken in each sampled plant.   As variables associated to the yield, pod width (PW),   pod length (PL), lateral branch number (LBN), and plant   height (PH) were evaluated (Medina <i>et al.</i>, 1989). To carry   out the pod width and length measurement, the measure   of the longitude and the width of 10 pods were averaged   for sampled plants, the width was measured with the pod   central region and the longitude from the union with the   peduncle until the pod apex (Espinosa and Ligarreto, 2005).   Width and length were measured in dry pods.</p>     <p><b>Genetic model used</b></p>     <p>One of the restrictions of the generation means analysis is   that the generations used in the model must be originated   from the crossing of two contrasting genotypes, for that   reason, it was verified that the variables evaluated in this   study were contrasting in the two parentals before beginning   the analyses; for this purpose, paired comparisons   were done for each variable evaluated among the parentals   by using the Mann-Whitney non-parametric test, separately   in each environment.</p>     <p>To evaluate major gene genetic effects, maternal effects,   genetic interaction effects and the interaction with the   environment, a lineal model was used employing the six   basic generations P1, P2, F1, F2, backcrosses and the reciprocal   of these generations to evaluate maternal effects. For   the lineal model development, the parameter definition   and coefficients, the terminology used by Mather and Jinks   (1971), were adopted.</p>     <p>The phenotypic mean (yhijk) of the k generation from the   combination of the maternal i and the parental j inside   the environment h can be expressed by a lineal <a href="#e1">model</a> as   follows:</p>       <p align="center"><a name="e1"></a><img src="img/revistas/agc/v30n3/v30n3a02e1.jpg"> </p>       <p>where &micro; is the general average, Gij is the genotypic value or genetic main effect, Lh is the environmental effect from the h environment that is random in most of the genetic experiments and presents normal distribution Lh &asymp; N(0, s<sup>2</sup>E), GL<sub>hij</sub> is the total effect of the interaction between genotype and environment and e<sub>hijkl</sub> &asymp; N(0, s<sup>2</sup> e) is the residual effect. The genotypic <a href="#e2">value</a> can be fractioned as:</p>     <p align="center"><a name="e2"></a><img src="img/revistas/agc/v30n3/v30n3a02e2.jpg"> </p> Where the additive parameter &#91;a&#93; denotes the net balance of genetic effects over all the genes that are being observed after the internal cancellations due to dispersion, the &#91;d&#93; parameter represents the dominance effects net balance and indicates the dominance direction in most of the genes pondered by the magnitude of their effects, the parameters &#91;a&#93;m and &#91;d&#93;m represent the additive and dominance effects of the maternal genes in P1 and P2 on the phenotype offspring; the cytoplasmic effects are managed adding an additional parameter &#91;c&#93; (Kearsey and Pooni, 1996). The additive, dominance and cytoplasmic effects of parameter coefficients are &alpha;, &delta; and &gamma;, respectively (<a href="#t1">Tab.1</a>). The model can be extended to incorporate interactions of additive &#91;aa&#93;, dominance &#91;dd&#93; and additive for dominance &#91;ad&#93; effects if the simple model of additive-dominance does not achieve a good adjustment.</p>       <p align="center"><a name="t1"></a><img src="img/revistas/agc/v30n3/v30n3a02t1.jpg"> </p>     ]]></body>
<body><![CDATA[<p>In order to describe the differences completely with regard to the two evaluated environments, it is possible to carry out the analysis including a column in the design matrix that defines the differences among the two environments (Mather and Jinks, 1971). To evaluate the genotype x environment interaction, new columns are generated, as many as the interactions require, as can be observed in <a href="#t2">Tab.2</a>.</p>     <p align="center"><a name="t2"></a><img src="img/revistas/agc/v30n3/v30n3a02t2.jpg"> </p> Then, the environmental genotype x environment interaction effects can be expressed in the lineal <a href="#e7">model</a> as:</p>     <p align="center"><a name="e7"></a><img src="img/revistas/agc/v30n3/v30n3a02e7.jpg"> </p>      <p>Each one of the additive, dominance, maternal and cytoplasmic effects parameters estimators are obtained by regression approaches; to include and to estimate the parameters in the regression model, the test of joint scales proposed by Cavalli (1952) was used, using the available generation means and doing the multiple regression analysis with the generalized weighted least square procedure (Kearsey and Pooni, 1996); in this regression method, each generation mean calculated for each studied agronomic trait is used as a dependent variable, and the genetic parameter coefficients are taken as independent variables; the analyses were determined with the GLM procedure of the statistics package SAS&reg; 9.0 version (SAS, 2004). </p>     <p>The obtained estimators are those that minimize the deviations   between the observed and predicted values of the   model. It is assumed that each one of the values of the generation   means are known with the same precision, which   implies that the variances of the generation means are all   equal, which is not probable in practice because generations   like F2 and backcrosses can present higher variances among   the individuals due to genetic segregation; this heterogeneity   in the variances can make the prediction of estimators   unequal and, therefore, make the models invalid (Beaver   and Mosjidis, 1988). For this reason, the means of each   generation are considered regarding the inverse of their   variance multiplied by the number of individuals in each   generation (Mather and Jinks, 1971; Beaver and Mosjidis,   1988; Foolad and Jones, 1992).</p>     <p>The results of this procedure include estimators for each   genetic parameter and the environmental effect, their standard   errors, t-values and the generation means predicted   for the tested model. The residual sum of squares in this   analysis is equivalent to the one pondered chi-square (X<sup>2</sup>)   and, therefore, can be used to prove if the model is fitted using   a F test and the R2 coefficient of determination (Fooladand Jones, 1992). In the final model, only the parameters   that were statistically significant were included.</p>     <p>Initially, it was determined if there existed significant   maternal effects adjusting the data to a simple model with   the additive, dominance and cytoplasmic maternal effects   including the environmental effect and the interactions of   this with the maternal effects.</p>     <p>Because there were no significant maternal effects observed   for any of the evaluated variables (see results below),   the data of the generations F1, RC1, RC2 and F2 were   combined with their reciprocal ones. Then, the data were   adjusted to a additive-dominance simple model including   the environmental effect in the same way as described by   Cockerham (1980). When the simple model was shown to   be inadequate, the additive x additive, additive x dominance,   dominance x dominance interaction effects and the   effects of genotype x environment were included, adjusting   each parameter in successive form, eliminating in the   model the terms that progressively presented significant   effects and maintaining the parameters that maximized   the model adjustment; it was evaluated if the models were   adequate, using the coefficient of determination value (R2)   (Kearsey and Pooni, 1996).</p>     <p><b>Heritability and heterosis estimation</b></p>     <p>Narrow sense heritability (h2) was estimated separately for   each environment and for all the environments as a whole   following the method proposed by Warner (Warner, 1952):</p>       ]]></body>
<body><![CDATA[<p align="center"> </a><img src="img/revistas/agc/v30n3/v30n3a02e3.jpg"> </p> Heterosis was estimated as the deviation percentage from the F1 mean value with regard to the parental mean value. Heterobeltiosis was estimated with regard to the best parental as:</p>       <p align="center"> </a><img src="img/revistas/agc/v30n3/v30n3a02e4.jpg"> </p>     <p>The heterosis estimations were calculated in each environment and the joining data from the two environments. </p>     <p><b>Results and discussion</b></p>     <p>Highly significant differences were founded between the   parentals in all studied variables except for the pod per   plant and number of seeds per plant; for these two variables,   the parentals did not present significant differences in the   municipality of Mosquera, while in the municipality of   Madrid, the WSU 31 variety presented a highly significant   value (<a href="#t3">Tab.3</a>). This suggests that the resulting values in the   municipality of Mosquera can be due to an environmental   effect more than a genotypic effect.</p>     <p>With regard to the other variables, parental WSU 31 (P2)   was significantly more precocious, presenting a shorter duration   of the vegetative stage evidenced in a shorter time for   the formation of the floral button (SFl) and the formation   of pods (FPod). It also presented a higher number of SxPod   and a bigger PL. The parental Santa Isabel presented higher   values in the variable LBN, W100, H1RN and PH (<a href="#t3">Tab.3</a>).</p>       <p align="center"><a name="t3"></a><img src="img/revistas/agc/v30n3/v30n3a02t3.jpg"> </p> The analysis by means of lineal models of maternal effects presence did not show any genetic effect of maternal additive &#91;a&#93;m, maternal dominant &#91;d&#93;m or cytoplasmic &#91;c&#93; which was significant for the precocity and the yield components studied (<a href="#t4">Tab.4</a>), therefore, for posterior data analysis, the joined data of generations F1, RC1, RC2 and F2, with the reciprocal ones, was used.</p>       <p align="center"><a name="t4"></a><img src="img/revistas/agc/v30n3/v30n3a02t4.jpg"> </p>     <p><b>Number of pods per plant and number of seeds per plant</b> </p>     <p>A significant dominant &#91;d&#93; genetic effect was found, and   this effect is stronger than the environmental effect for   these two variables. However, it is necessary to note that   the model of generation means carried out for these two   variables did not present a very good adjustment (<a href="#t5">Tab.5</a>);    for the number of pods per plant, a R2 of 0.78 was   obtained; meanwhile for the number of seeds per plant   it was 0.86. These results can be due to the fact that in   the village of Mosquera, significant differences were not   found among the parentals for these variables and the   generation mean models only adapted if the restriction   of using contrasting parentals was fulfilled.</p>     ]]></body>
<body><![CDATA[<p>The narrow sense heritability was superior to 65% for the   number of pods and seeds per plant when it was evaluated,   including the two environment data (<a href="#t6">Tab.6</a>). These results   contrast with previously reported data, where it was observed   that these variables presented a higher narrow sense   heritability (Singh, 1985; Espinosa and Ligarreto, 2005).</p>     <p>Regarding the heterosis values, a higher value of heterosis   was observed in the village of Mosquera than in the village   of Madrid, according to the half parental heterosis;   the results of the number of seeds per plant in the village   of Madrid are concordant with those reported by Espinosa   and Ligarreto (2005), where a heterotic effect of 16.44%   was observed.</p>       <p align="center"><a name="t5"></a><img src="img/revistas/agc/v30n3/v30n3a02t5.jpg"> </p>       <p align="center"><a name="t6"></a><img src="img/revistas/agc/v30n3/v30n3a02t6.jpg"> </p>     <p>With the values of heterosis, the differences among environments are evidenced again, while in Madrid the best parental heterosis was 3.42%, in Mosquera it reached a value of 39.01% (<a href="#t7">Tab.7</a>), which again confirms that the environment significantly affects the expression of these characteristics.</p>       <p align="center"><a name="t7"></a><img src="img/revistas/agc/v30n3/v30n3a02t7.jpg"> </p>     <p><b>Seeds per pod</b></p>     <p>According to the generation means analysis this variable   was adapted to an additive-dominance model (R<sup>2</sup>=0.90)   with an additive effect higher than the environmental effect   (<a href="#t5">Tab.5</a>). However, observing the heritability values, they   are low due mainly to a lower value of the additive variance   regarding the environmental one (<a href="#t6">Tab.6</a>). The differences   in these two analyses may be due to the following reasons:   in the generation means analysis, the averages of each generation   are evaluated, just like the differences between the   two environments; while in the calculation of heritability   that was carried out by separate environments, one keeps   in mind a higher variation due to intrinsic conditions of   each environment and microenvironment variations, these   environmental variations influence to a large degree the   values of variances of each generation and they can generate   a decrease in the value regarding the additive variance. It   was determined that SxPod does not present a high heterotic   effect (<a href="#t7">Tab.7</a>), in concordance with that reported for   this characteristic (Sarawat <i>et al.</i>, 1994).</p>     <p><b>Height of the first reproductive node   and height of the plant</b></p>     <p>According to the generation means model, environmental   effects did not show up on H1RN and PH, moreover, a   significant genotypic effect was seen in both dominant and   additive variables (<a href="#t5">Tab.5</a>). However, dominance variance   was higher than additive variance, due to this, the two   characteristics presented a low narrow sense heritability   (<a href="#t6">Tab.6</a>); Singh (1985) reported that although plant height   is influenced by an additive effect, the dominance effect   presents a higher influence. It is possible to think in a   transgressive segregation or in overdominance effect in this   two variables, keeping in mind that the overall values of   F1 were higher than those of the parents in two evaluated   environments, that is corroborated with the positive data   of heterosis and heterobeltiosis (<a href="#t7">Tab.7</a>).</p>     ]]></body>
<body><![CDATA[<p>Plant height is closely related with the internode longitude   which is managed by 15 different genes Le, La, Cry, Lm, Na,   Lh, Lk y Ls, Lw, Lv, Lka y Lkb, Lkc, Lkd and Sln; mutations   in eleven of these loci produce short internodes (Kusnadi   <i>et al.</i>, 1992).</p>     <p><b>Number of lateral branches</b></p>     <p>After analysis with the generation means model of this   characteristic, the results did not show environmental or   interaction effects; however regarding heritability, the results   were contrasting between the two evaluated environments,   while in Madrid the narrow sense heritability was   23.53%, in Mosquera this it was almost three times higher   (<a href="#t6">Tab.6</a>). These results agree with results of previous studies,   where it was found that the number of branches was highly   influenced by the environmental conditions (Alcalde <i>et al.</i>,   1999; Alcalde <i>et al.</i>, 2000; Bourion <i>et al.</i>, 2002).</p>     <p>Time between sowing and flowering and time   between sowing and formation of the first pod   In the present study, it was found that SFl and FPod were   subject to a significant additive genetic effect and also a   by means of the values in additive variances that were 7.32   and 5.48 for SFl in Madrid and Mosquera, respectively, and   4.29 and 1.67 for FPod; with a near zero value for dominant   variances (Tab. 6); the presence of a high additive effect   leads to the expectation that these characteristics have   potential for improvement. The beginning of the flowering   and fructification have been considered traits determined   by a polygenic action due to the fact that flowering frequently   shows continuous variations under field conditions   and they respond to temperature changes (Alcalde <i>et al.</i>,   1999); it has been found that flowering delay can be due   to the action of major genes such as Sn which produces a   low number of vegetative nodes, producing a quantitative   response to the photoperiod for flowering initiation or floral   development and senescence with interaction with other   major genes such as E and Hr (Weller <i>et al.</i>, 1997; Alcalde   <i>et al.</i>, 1999; Bourion <i>et al.</i>, 2002), which may explain the   high environmental effects observed on these traits. In   the pea, the study of these variables has shown that they   are due to the action of interactions among genes or to the   action of major genes (Bourion <i>et al.</i>, 2002); also variation   and stability can be largely affected by the environment.   Moreover, the negative values with regard to heterosis suggest   that the time of flowering and fructification presents   partial or incomplete dominance (<a href="#t7">Tab.7</a>).</p>     <p><b>Pod length and width</b></p>     <p>It was found that these two variables are subject to significant   environmental effects; PW did not show an important   additive effect while the PL had both additive and dominant   genetic effects (<a href="#t5">Tab.5</a>). These two variables presented   higher narrow sense heritabilities in the village of Madrid   (<a href="#t6">Tab.6</a>) which makes them good candidates for a breeding   program, starting with the cross between the Santa Isabel   and WSU 31 varieties. Furthermore, these two variables   did not present very high heterosis values.</p>     <p><b>Weight of 100 seeds</b></p>     <p>In the additive-dominance model of generation means   for the 100-seed weight, there were no significant effects   of the environment or genetic dominance. Other studies   have shown that this characteristic presents a higher effect   from the additive genetic action than the non-additive action   (Singh, 1985; Espinosa and Ligarreto, 2005), similar   to that reported in this study. In general, W100 was the   characteristic that presented the highest heritability, with   a maximum narrow sense heritability of 89.60% (<a href="#t6">Tab.6</a>),   which makes this characteristic important for breeding   programs because it is only slightly influenced by the   environment and is highly inheritable. The comparisons   of F1 with the parental mean and the best parental showed   that there is not a heterotic effect; this variable presented   the lowest heterobeltiosis with a decrease in F1 of 13.04%   in Madrid and 22.58% in Mosquera, suggesting that this   characteristic presents partial or incomplete dominance   (<a href="#t7">Tab.7</a>).</p>     <p><b>Conclusions</b></p>     <p>The models employed in this study have as an advantage   the fact that environmental effects are included, to infer   which genetic effect is really significant for all the evaluated   environments for the cross between the Santa Isabel and   WSU 31 pea varieties. In the eleven characters studied for   this cross, significant maternal or cytoplasmic effects do not   exist. The variables that had higher values for selection were   100-seed weight, pod length and pod width; the other yield   variables presented lower heritabilities. One may consider   that all the variables, except for the number of seeds per   plant and the number of pods per plant, have potential   for improvement taking into account that to outline a   breeding program, it is necessary that the characteristics   to be improved be subject to a significant additive effect.   If a continued breeding program with the Santa Isabel x   WSU 31 cross is desired, stronger pressures of selection   should be applied to the 100-seed weight and the length   and width of the pods.</p>     ]]></body>
<body><![CDATA[<p><b>Acknowledgments</b></p>     <p>The authors thank the Research Division of the Universidad   Nacional de Colombia, Bogota and Colciencias for   financial support.</p> <hr>     <p><b>Literature cited</b></p>     <!-- ref --><p>Alcalde, J., T. Wheeler, R. Summerfield, and A. Norero. 1999.   Quantitative effects of the genes Lf, Sn, E, and Hr on time to   flowering in pea (<i>Pisum sativum</i> L.). J. Exp. Bot. 50, 1691-1700.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000086&pid=S0120-9965201200030000200001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     <!-- ref --><p>Alcalde, J.A., T.R. Wheeler, and R.J. Summerfield. 2000. Genetic   characterization of flowering of diverse cultivars of pea. Agron.   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