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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" article-type="research-article" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">JSAVA</journal-id>
<journal-title-group>
<journal-title>Journal of the South African Veterinary Association</journal-title>
</journal-title-group>
<issn pub-type="ppub">1019-9128</issn>
<issn pub-type="epub">2224-9435</issn>
<publisher>
<publisher-name>AOSIS</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">JSAVA-88-1484</article-id>
<article-id pub-id-type="doi">10.4102/jsava.v88i0.1484</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Genetic variation in and relationships among faecal worm eggs recorded in different seasons of the year at the Tygerhoek farm in South Africa</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">http://orcid.org/0000-0003-3531-2592</contrib-id>
<name>
<surname>Mpetile</surname>
<given-names>Ziyanda</given-names>
</name>
<xref ref-type="aff" rid="AF0001">1</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dzama</surname>
<given-names>Kennedy</given-names>
</name>
<xref ref-type="aff" rid="AF0001">1</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<contrib-id contrib-id-type="orcid">http://orcid.org/0000-0002-4548-5633</contrib-id>
<name>
<surname>Cloete</surname>
<given-names>Schalk W.P.</given-names>
</name>
<xref ref-type="aff" rid="AF0001">1</xref>
<xref ref-type="aff" rid="AF0002">2</xref>
</contrib>
<aff id="AF0001"><label>1</label>Department of Animal Sciences, Stellenbosch University, South Africa</aff>
<aff id="AF0002"><label>2</label>Elsenburg, Western Cape Department of Agriculture, South Africa</aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><bold>Corresponding author:</bold> Schalk Cloete, <email xlink:href="schalkc@elsenburg.com">schalkc@elsenburg.com</email></corresp>
</author-notes>
<pub-date pub-type="epub"><day>07</day><month>07</month><year>2017</year></pub-date>
<pub-date pub-type="collection"><year>2017</year></pub-date>
<volume>88</volume>
<elocation-id>1484</elocation-id>
<history>
<date date-type="received"><day>23</day><month>11</month><year>2016</year></date>
<date date-type="accepted"><day>05</day><month>06</month><year>2017</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2017. The Authors</copyright-statement>
<copyright-year>2017</copyright-year>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/2.0/">
<license-p>Licensee: AOSIS. This work is licensed under the Creative Commons Attribution License.</license-p>
</license>
</permissions>
<abstract>
<p>Gastrointestinal nematodes result in severe economic and production losses to the sheep industry. An increase in resistance of the nematodes to chemicals used for control, as well as a demand of consumers for meat products free from chemicals, has fostered research on alternative control strategies. Breeding for resistance to nematodes offers an alternative to control parasitism but its effectiveness depends on genetic variation in faecal worm egg count (FWEC), an indirect measure of parasite resistance. A historic dataset of FWEC from four Merino lines subjected to natural parasite challenge was used to estimate genetic parameters for FWEC in three seasons (autumn, winter and spring) using a repeated records animal model, followed by a three-trait animal model analysis treating FWEC in different seasons as separate traits. The effects of selection line, birth year, sex, the sex x birth year interaction, season and the season x year interaction were significant when using 4994 records recorded from 1997 to 2000 (<italic>p</italic> &#x003C; 0.001). The heritability of log-transformed FWEC amounted to 0.09 &#x00B1; 0.02, with no contribution from the animal permanent environmental variance to the between animal variation across seasons. Three-trait heritability estimates for log-transformed FWEC amounted to 0.07 &#x00B1; 0.05 in autumn, 0.13 &#x00B1; 0.05 in winter and 0.19 &#x00B1; 0.05 in spring. These results suggest sufficient genetic variation in FWEC to support selection for lower log-transformed FWEC. However, the best time to record data for selection is after the break of the season in winter and in spring, when sheep are stimulated by a greater intake of infective larvae from the pasture after the first rains. Genetic correlations among FWEC in the respective seasons were moderate to high, ranging from 0.55 to 0.89. Phenotypic correlations, on the other hand, were significant but lower in magnitude, ranging from 0.09 to 0.16. These results provide useful information for developing strategies for the genetic improvement of ovine resistance to gastrointestinal nematodes under Mediterranean conditions in South Africa by using FWEC as an indicator trait.</p>
</abstract>
</article-meta>
</front>
<body>
<sec id="s0001">
<title>Introduction</title>
<p>The profitability of sheep production relies, in part, on the efficient application of proper strategies to reduce nematode infestations under challenge conditions. At present, the major control strategy for nematodes is the use of chemical drenches to treat and prevent production and economic losses associated with infestation. However, development of parasite resistance to chemicals is common (Rialch, Vatsya &#x0026; Kumar <xref ref-type="bibr" rid="CIT0038">2013</xref>; Swarnkar &#x0026; Singh <xref ref-type="bibr" rid="CIT0044">2011</xref>; Waller <xref ref-type="bibr" rid="CIT0047">1994</xref>). In addition, consumer perception is in favour of the usage of minimum chemicals during the meat production process. These developments force sheep producers and researchers to consider alternative strategies relying less on chemicals, like an integrated pest management programme, including selection for parasite resistance to control parasitism over the long term (Khusro et al. <xref ref-type="bibr" rid="CIT0022">2004</xref>).</p>
<p>Genetic variation for ovine resistance to nematode infestation is well documented. Genetic variation exists among different breeds (Baker et al. <xref ref-type="bibr" rid="CIT0002">1999</xref>, <xref ref-type="bibr" rid="CIT0001">2002</xref>; Gruner et al. <xref ref-type="bibr" rid="CIT0020">2003</xref>; Nimbkar et al. <xref ref-type="bibr" rid="CIT0030">2003</xref>) and within breeds (Morris et al. <xref ref-type="bibr" rid="CIT0026">2000</xref>; Woolaston &#x0026; Windon <xref ref-type="bibr" rid="CIT0049">2001</xref>), when considering different nematode species. The most commonly used criterion in temperate parts to indirectly measure parasite resistance is faecal worm egg count or FWEC (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>; Mpetile et al. <xref ref-type="bibr" rid="CIT0028">2015</xref>). Alternative approaches like applying the FAMACHA<sup>&#x00A9;</sup> set of measurements (Bath &#x0026; Van Wyk <xref ref-type="bibr" rid="CIT0004">2009</xref>) may also play a role in helminth control in the summer rainfall areas of South Africa. However, it may not be as directly applicable to dryland conditions in the Mediterranean part of South Africa (Cloete, Mpetile &#x0026; Dzama <xref ref-type="bibr" rid="CIT0008">2016</xref>), leaving FWEC as the main criterion available for selection against gastrointestinal helminths. Heritability estimates of FWEC reported in literature range from 0 to 0.52 (Greeff, Karlsson &#x0026; Harris <xref ref-type="bibr" rid="CIT0018">1995</xref>; L&#x00F4;bo, Vieira &#x0026; Oliveira <xref ref-type="bibr" rid="CIT0024">2009</xref>; Mpetile et al. <xref ref-type="bibr" rid="CIT0028">2015</xref>). Breeding for a reduced FWEC has been successful in Australia (Greeff, Karlsson &#x0026; Besier <xref ref-type="bibr" rid="CIT0017">1999</xref>; Greeff, Karlsson &#x0026; Underwood <xref ref-type="bibr" rid="CIT0019">2006</xref>; Karlsson &#x0026; Greeff <xref ref-type="bibr" rid="CIT0021">2006</xref>) and New Zealand (Morris et al. <xref ref-type="bibr" rid="CIT0027">2005</xref>). So far, no comparable results on response to selection for a lower FWEC have been published for South African conditions.</p>
<p>Environmental conditions during natural challenge are characterised by large seasonal and across-year variation in temperature and rainfall. These factors markedly affect the prevalence of parasite populations on pastures between months within years and across years (Greeff et al. <xref ref-type="bibr" rid="CIT0018">1995</xref>; O&#x2019;Connor, Walkden-Brown &#x0026; Kahn <xref ref-type="bibr" rid="CIT0031">2006</xref>), thus affecting the genetic variation observed in FWEC.</p>
<p>Against this background, a historic dataset of FWEC from four Merino lines maintained at the Tygerhoek research farm was utilised to identify the most appropriate time to test sheep for parasite resistance under natural challenge conditions. The genetic and environmental variation in FWEC in three seasons (autumn, spring and winter) was first assessed in a single-trait repeatability model. Subsequently, FWEC in the three seasons were analysed in a three-trait model. This model was used to determine whether FWEC in different seasons was genetically the same trait and also for deriving genetic and phenotypic correlations among FWEC records obtained in the different seasons.</p>
</sec>
<sec id="s0002">
<title>Materials and methods</title>
<p>The data used in this study came from four lines of Merino sheep that were selected for an increased clean fleece weight with a limit on fibre diameter (Cloete et al. <xref ref-type="bibr" rid="CIT0012">1998</xref>, <xref ref-type="bibr" rid="CIT0010">2007</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>), for a reduction in fibre diameter (Cloete, Olivier &#x0026; Du Toit <xref ref-type="bibr" rid="CIT0009">2013</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>), for an increased reproductive efficiency using the &#x2018;wet and dry&#x2019; method (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>), as well as an unselected control line (Cloete et al. <xref ref-type="bibr" rid="CIT0012">1998</xref>, <xref ref-type="bibr" rid="CIT0010">2007</xref>, <xref ref-type="bibr" rid="CIT0009">2013</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>). The experimental animals were maintained at the Tygerhoek research farm in the southern Cape of South Africa. Details on these lines and selection of the experimental animals, husbandry practices, climate at the experimental site, sampling procedures and experimental design have been reported in the literature cited. Briefly, the progeny of all lines were maintained as single flocks within birth years, but separated on sex within birth year cohorts throughout the trial. The climate at the experimental site is Mediterranean, with an average annual rainfall of 425 mm, 60&#x0025; of which is expected during winter. The long-term mean daily temperature at the site ranges from 10.2 &#x00B0;C to 22.4 &#x00B0;C. Animals in the study mostly relied on pastures, namely dryland lucerne (<italic>Medicago sativa</italic>) and medics (<italic>M. truncatula</italic>). Animals also grazed oat (<italic>Avena sativa</italic>) fodder crops during winter and spring as well as wheaten stubble in summer. They occasionally received oat grain as a supplement when grazing stubble lands. Standard drenching and husbandry programmes for the region were followed.</p>
<p>In this study there was no direct selection for parasite resistance in either line (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>, <xref ref-type="bibr" rid="CIT0008">2016</xref>). Faecal grab samples were obtained from individual animals after drenching was withheld for a period of at least 10 weeks in autumn, winter and spring. Faecal grab samples were sent to Western Cape Provincial Veterinary Laboratory for analysis, using the McMaster technique with a sensitivity of 100 eggs/gram of wet faeces (Van Schalkwyk et al. <xref ref-type="bibr" rid="CIT0046">1994</xref>). The pathogen species commonly present under dryland conditions in the region were a mixture of <italic>Teladorsagia, Trichostronglyus</italic> and <italic>Nematodirus</italic> spp. (Reinecke <xref ref-type="bibr" rid="CIT0037">1994</xref>), although traces of <italic>Haemonchus contortus</italic> might have been observed (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>). The FWEC data were transformed to natural logarithms (after 100 was added to account for zero counts) to reduce the variation in untransformed FWEC and also to normalise the distribution (<xref ref-type="table" rid="T0001">Table 1</xref>).</p>
<table-wrap id="T0001">
<label>TABLE 1</label>
<caption><p>Descriptive statistics for faecal worm egg counts of Merino sheep before and after transformation.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left">Trait</th>
<th align="left">Mean &#x00B1; SD</th>
<th align="left">Range</th>
<th align="left">CV&#x0025;</th>
<th align="center">Skewness</th>
<th align="center">Kurtosis</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">FWEC 1</td>
<td align="left">891 &#x00B1; 1570</td>
<td align="left">0&#x2013;37 200</td>
<td align="left">177.30</td>
<td align="left">8.81</td>
<td align="left">165.37</td>
</tr>
<tr>
<td align="left">FWEC 2</td>
<td align="left">524 &#x00B1; 1001</td>
<td align="left">0&#x2013;14 900</td>
<td align="left">191.10</td>
<td align="left">5.17</td>
<td align="left">46.44</td>
</tr>
<tr>
<td align="left">FWEC 3</td>
<td align="left">665 &#x00B1; 920</td>
<td align="left">0&#x2013;14 300</td>
<td align="left">138.40</td>
<td align="left">3.77</td>
<td align="left">33.32</td>
</tr>
<tr>
<td align="left">Log FWEC1</td>
<td align="left">6.17 &#x00B1; 1.12</td>
<td align="left">4.61&#x2013;10.53</td>
<td align="left">19.78</td>
<td align="left">0.18</td>
<td align="left">&#x2212;1.00</td>
</tr>
<tr>
<td align="left">Log FWEC2</td>
<td align="left">5.72 &#x00B1; 1.12</td>
<td align="left">4.61&#x2013;9.62</td>
<td align="left">19.60</td>
<td align="left">0.61</td>
<td align="left">&#x2212;0.62</td>
</tr>
<tr>
<td align="left">Log FWEC3</td>
<td align="left">6.04 &#x00B1; 1.12</td>
<td align="left">4.61&#x2013;9.57</td>
<td align="left">18.62</td>
<td align="left">0.14</td>
<td align="left">&#x2212;1.17</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>FWEC1, untransformed faecal worm egg count in autumn; FWEC2, untransformed faecal worm egg count in winter; FWEC3, untransformed faecal worm egg count in spring; log FWEC1, log-transformed faecal worm egg count in autumn; log FWEC2, log-transformed faecal worm egg count in winter; log FWEC3, log-transformed faecal worm egg count in spring.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>The data were initially analysed for fixed effects and variance components across seasons using a single-trait repeatability model analyses in ASREML (Gilmour et al. <xref ref-type="bibr" rid="CIT0015">2009</xref>). To obtain the best operational model, the fixed effects of selection line (as reported previously), birth year (1997&#x2013;2000), birth type (multiple or single), sex (ram or ewe), age of dam (2&#x2013;7+ years) and season (autumn, winter or spring) were fitted. In addition, all two-factor interactions were initially included in the model but only the birth year x sex interaction and the birth year x season interaction were statistically significant and retained in the operational model along with the other significant fixed effects for subsequent analysis. Random effects were then added to the model, giving the following models for analyses (matrix notation):
<disp-formula id="FD1"><alternatives><mml:math display="block" id="M1"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e001.tif"/></alternatives><label>[Eqn 1]</label></disp-formula>
<disp-formula id="FD2"><alternatives><mml:math display="block" id="M2"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e002.tif"/></alternatives><label>[Eqn 2]</label></disp-formula>
<disp-formula id="FD3"><alternatives><mml:math display="block" id="M3"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>c</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e003.tif"/></alternatives><label>[Eqn 3]</label></disp-formula></p>
<p>In these analyses, <italic>y</italic> was a vector of observations for log-transformed FWEC across seasons, and b, a and c were vectors of fixed effects, direct genetic variances and animal permanent environmental (PE) variances respectively. X, Z<sub>1</sub> and Z<sub>2</sub> represented the corresponding incidence matrices relating the respective effects to y and e was the randomly distributed vector of residuals. It was assumed that:
<disp-formula id="FD4"><alternatives><mml:math display="block" id="M4"><mml:mrow><mml:mi>V</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>a</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mi>a</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>;</mml:mo><mml:mtext>V</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>c</mml:mtext><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mtext>I</mml:mtext><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>c</mml:mtext><mml:mn>2</mml:mn></mml:msubsup><mml:mo>;</mml:mo><mml:mtext>V</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>e</mml:mtext><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mtext>I</mml:mtext><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>e</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e004.tif"/></alternatives><label>[Eqn 4]</label></disp-formula>
with A representing the numerator relationship matrix; I representing identity matrices; <inline-formula id="ID1"><alternatives><mml:math display="inline" id="I1"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>a</mml:mtext><mml:mn>2</mml:mn></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>c</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i001.tif"/></alternatives></inline-formula> and <inline-formula id="ID2"><alternatives><mml:math display="inline" id="I2"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>e</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i002.tif"/></alternatives></inline-formula> being the direct genetic, animal PE and residual variances, respectively. Ratios corresponding to additive genetic and PE variances were computed from these estimates and were expressed relative to the total phenotypic variance.</p>
<p>The later analysis assumed equal genetic variances for log-transformed FWEC across seasons, as well as unity genetic correlations among expressions of log-transformed FWEC in each season. To test these assumptions, the analyses were followed by within-season single-trait analyses for records obtained during autumn, winter and spring respectively. To obtain the best operational model for these analyses, the fixed effects of selection line (as reported previously), birth year (1997&#x2013;2000), birth type (multiple or single), sex (ram or ewe) and age of dam (2&#x2013;7+ years) were fitted within seasons. In addition, all two-factor interactions were initially included in the model but only the birth year x sex interaction was retained in the operational model along with the other significant fixed effects for subsequent analyses. Random effects were then added to the operational model, resulting in the following models for analyses in matrix notation:
<disp-formula id="FD5"><alternatives><mml:math display="block" id="M5"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e005.tif"/></alternatives><label>[Eqn 5]</label></disp-formula>
<disp-formula id="FD6"><alternatives><mml:math display="block" id="M6"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e006.tif"/></alternatives><label>[Eqn 6]</label></disp-formula>
<disp-formula id="FD7"><alternatives><mml:math display="block" id="M7"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>c</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e007.tif"/></alternatives><label>[Eqn 7]</label></disp-formula>
<disp-formula id="FD8"><alternatives><mml:math display="block" id="M8"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e008.tif"/></alternatives><label>[Eqn 8]</label></disp-formula></p>
<p>[<italic>Co variance</italic> (a, m) = 0]
<disp-formula id="FD9"><alternatives><mml:math display="block" id="M9"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>X</mml:mi><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>c</mml:mi><mml:mo>+</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e009.tif"/></alternatives><label>[Eqn 9]</label></disp-formula></p>
<p>[<italic>Co variance</italic> (a, m) = <italic>A&#x03C3;</italic><sub>am</sub>]</p>
<p>In these analyses, y was a vector of observations for log-transformed FWEC within seasons, and b, a, m and c were vectors of fixed effects, direct genetic variances, maternal genetic variances and maternal PE variances respectively. X, Z<sub>1</sub>, Z<sub>2</sub> and Z<sub>3</sub> represented the corresponding incidence matrices relating the respective effects to y and e was the randomly distributed vector of residuals. A was the numerator relationship matrix and &#x03C3;<sub>am</sub> the covariance between direct and maternal additive genetic effects.</p>
<p>It was assumed that:
<disp-formula id="FD10"><alternatives><mml:math display="block" id="M10"><mml:mrow><mml:mi>V</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>a</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mi>a</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>;</mml:mo><mml:mtext>V</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>m</mml:mtext><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mtext>A</mml:mtext><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>m</mml:mtext><mml:mn>2</mml:mn></mml:msubsup><mml:mo>;</mml:mo><mml:mtext>V</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>c</mml:mtext><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mtext>I</mml:mtext><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>c</mml:mtext><mml:mn>2</mml:mn></mml:msubsup><mml:mo>;</mml:mo><mml:mtext>V</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>e</mml:mtext><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mtext>I</mml:mtext><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>e</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-e010.tif"/></alternatives><label>[Eqn 10]</label></disp-formula>
with I representing identity matrices; <inline-formula id="ID3"><alternatives><mml:math display="inline" id="I3"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>a</mml:mtext><mml:mn>2</mml:mn></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>m</mml:mtext><mml:mn>2</mml:mn></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>c</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i003.tif"/></alternatives></inline-formula> and <inline-formula id="ID4"><alternatives><mml:math display="inline" id="I4"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>e</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i002.tif"/></alternatives></inline-formula> being the direct genetic, maternal genetic, maternal PE and residual variances respectively.</p>
<p>Ratios corresponding to additive genetic and permanent environmental variances were computed from these repeatability and single-trait within-season analyses. These variances were expressed relative to the total phenotypic variance. Likelihood Ratio tests (LRT) were used to test the contribution of each random term to improvements in the operational model for significance. The single-trait within-season analyses were followed by a three-trait analysis treating FWEC in different seasons as separate traits. This analysis also allowed the calculation of season-specific heritability estimates, as well as genetic and phenotypic correlations among FWEC expressions in different seasons. The full pedigree file, including 4650 animals born between 1989 and 2000 as the progeny of 357 sires and 1447 dams, was used in all analyses.</p>
</sec>
<sec id="s0003">
<title>Results</title>
<p>The descriptive statistics of FWEC showed an extreme variation and a non-normal distribution before transformation, as shown in <xref ref-type="table" rid="T0001">Table 1</xref>. The distribution of the data was improved by transformation to natural logs resulting in coefficients of variation (CV) that were below 20&#x0025;. Only fixed effect results obtained from the log-transformed analysis on the repeatability model analysis will be presented. The fixed effects of selection line, birth year, sex, season, the sex x birth year interaction and the season x birth year interaction all influenced the data significantly (<italic>p</italic> &#x003C; 0.001). Sex x birth year interactions are commonly found in similar literature and will not be reported. Seasonal means for FWEC varied quite markedly across years (<xref ref-type="fig" rid="F0001">Figure 1</xref>). Log-transformed FWEC means in autumn declined quite markedly from 1997 to 2000; those recorded in winter were higher in 1997 and 2000 and lower in 1998 and 1999, while those recorded in spring declined from 1997 to 1998 to stabilise at the lower levels.</p>
<fig id="F0001">
<label>FIGURE 1</label>
<caption><p>Interaction of year by season for the natural log of faecal worm egg count in the study population (log-transformed least-squares means &#x00B1; SE).</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-g001.tif"/>
</fig>
<p>Log-likelihood values for the repeatability model analysis on log-transformed FWEC amounted to -1932.02 for the fixed effect operational model prior to the addition of the additive genetic effect of animal. When animal genetic effects were added to the analysis, the Log-likelihood value improved to -1904.87 (<italic>p</italic> &#x003C; 0.05 tested as a Chi-square statistic at 1 degree of freedom). The addition of animal permanent environment as another random effect did not result in a further improvement of the Log-likelihood value, which stayed at -1904.87. Log-likelihood values for the subsequent analyses on within-season FWEC accordingly suggested a significant improvement from the model with fixed effects only to the model also including direct additive genetic variation for log-transformed FWEC only in winter and spring (<italic>p</italic> &#x003C; 0.05; <xref ref-type="table" rid="T0002">Table 2</xref>), but not in autumn (<italic>p</italic> &#x003E; 0.05). The adding of additional random effects failed to result in further improvements to the goodness of fit of the models fitted in winter and spring.</p>
<table-wrap id="T0002">
<label>TABLE 2</label>
<caption><p>Log-likelihood ratios for single-trait random effects model fitted to faecal worm egg count data of the Tygerhoek Merino flock with the &#x2018;best&#x2019; model in bold.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left">Model</th>
<th align="center">FWEC1</th>
<th align="center">FWEC2</th>
<th align="center">FWEC3</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Fixed</td>
<td align="center"><bold>-500.908</bold></td>
<td align="center">&#x2212;556.152</td>
<td align="center">&#x2212;757.517</td>
</tr>
<tr>
<td align="left">Fixed +h<sup>2</sup></td>
<td align="center">&#x2212;500.908</td>
<td align="center"><bold>-547.427</bold></td>
<td align="center"><bold>-750.294</bold></td>
</tr>
<tr>
<td align="left">Fixed +h<sup>2</sup> + m<sup>2</sup></td>
<td align="center">&#x2212;499.296</td>
<td align="center">&#x2212;547.427</td>
<td align="center">&#x2212;750.294</td>
</tr>
<tr>
<td align="left">Fixed +h<sup>2</sup> + c<sup>2</sup></td>
<td align="center">&#x2212;499.876</td>
<td align="center">&#x2212;547.070</td>
<td align="center">&#x2212;750.294</td>
</tr>
<tr>
<td align="left">Fixed +h<sup>2</sup> + m<sup>2</sup> + c<sup>2</sup></td>
<td align="center">&#x2212;499.296</td>
<td align="center">&#x2212;547.070</td>
<td align="center">&#x2212;750.294</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>FWEC1, log-transformed faecal worm egg count in autumn; FWEC2, log-transformed faecal worm egg count in winter; FWEC3, log-transformed faecal worm egg count in spring.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>Log-transformed FWEC was lowly heritable in the across-season repeatability model analysis at 0.09 &#x00B1; 0.02. The derived season-specific heritability estimates of log-transformed FWEC were 0.07 &#x00B1; 0.05 in autumn, 0.13 &#x00B1; 0.04 in winter and 0.19 &#x00B1; 0.05 in spring (<xref ref-type="table" rid="T0003">Table 3</xref>). Relative to the standard errors associated with these heritability estimates, the estimate derived in spring were higher than the one derived in autumn. These results therefore suggested significant genetic variation for FWEC in winter and spring, but not in autumn as was also suggested by the Log-likelihood values in <xref ref-type="table" rid="T0002">Table 2</xref>. Selection for a lower FWEC can thus result in genetic gains when data recorded during winter and spring are used.</p>
<table-wrap id="T0003">
<label>TABLE 3</label>
<caption><p>Variance components and ratios (&#x00B1;SE) for log-transformed faecal worm egg counts estimated from the three-trait analysis with genetic (above diagonal) and phenotypic correlations (below diagonal) between expressions of faecal worm egg count in different seasons.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left">Trait analysed</th>
<th align="center">Log FWEC1</th>
<th align="center">Log FWEC2</th>
<th align="center">Log FWEC3</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" colspan="4"><bold>Variance components</bold></td>
</tr>
<tr>
<td align="left"><inline-formula id="ID5"><alternatives><mml:math display="inline" id="I5"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>a</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i004.tif"/></alternatives></inline-formula></td>
<td align="center">0.046</td>
<td align="center">0.086</td>
<td align="center">0.166</td>
</tr>
<tr>
<td align="left"><inline-formula id="ID6"><alternatives><mml:math display="inline" id="I6"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>p</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i005.tif"/></alternatives></inline-formula></td>
<td align="center">0.639</td>
<td align="center">0.674</td>
<td align="center">0.880</td>
</tr>
<tr>
<td align="left" colspan="4"><bold>(Co)variance ratios (h<sup>2</sup> on the diagonal in bold)</bold></td>
</tr>
<tr>
<td align="left">Log FWEC1</td>
<td align="center"><bold>0.07 &#x00B1; 0.05</bold></td>
<td align="center">0.89 &#x00B1; 0.34</td>
<td align="center">0.55 &#x00B1; 0.30</td>
</tr>
<tr>
<td align="left">Log FWEC2</td>
<td align="center">0.12 &#x00B1; 0.02</td>
<td align="center"><bold>0.13 &#x00B1; 0.04</bold></td>
<td align="center">0.78 &#x00B1; 0.18</td>
</tr>
<tr>
<td align="left">Log FWEC3</td>
<td align="center">0.09 &#x00B1; 0.03</td>
<td align="center">0.16 &#x00B1; 0.03</td>
<td align="center"><bold>0.19 &#x00B1; 0.05</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><inline-formula id="ID7"><alternatives><mml:math display="inline" id="I7"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>a</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i004.tif"/></alternatives></inline-formula>, direct additive variance; <inline-formula id="ID8"><alternatives><mml:math display="inline" id="I8"><mml:mrow><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mtext>p</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JSAVA-88-1484-i005.tif"/></alternatives></inline-formula>, phenotypic variance; h<sup>2</sup>, direct, additive heritability; Log FWEC1, log-transformed faecal worm egg count in autumn; Log FWEC2, log-transformed faecal worm egg count in winter; Log FWEC3, log-transformed faecal worm egg count in spring.</p></fn>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="T0003">Table 3</xref> also presents genetic and phenotypic correlations among FWEC in different seasons of the year. The genetic correlations among FWEC records from different seasons ranged from moderate to high at 0.55&#x2013;0.89, suggesting that selection for a reduced FWEC in one season would also improve FWEC in other seasons. Phenotypic correlations, on the other hand, were significant but low and ranged from 0.09 to 0.16.</p>
</sec>
<sec id="s0004">
<title>Ethical considerations</title>
<p>The animals were maintained, managed and recorded under clearance from the Departmental Ethical Committee for Research on Animals at the Western Cape Department of Agriculture (DECRA reference number R12/76).</p>
</sec>
<sec id="s0005">
<title>Discussion</title>
<p>Extreme individual variation of FWEC data is commonly reported in literature, ranging from 0 to 50 000 epg (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>; Khusro et al. <xref ref-type="bibr" rid="CIT0022">2004</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>; Mpetile et al. <xref ref-type="bibr" rid="CIT0028">2015</xref>; Snyman <xref ref-type="bibr" rid="CIT0042">2007</xref>). Log transformations were traditionally applied to reduce the individual variation of FWEC and to improve the properties of the data (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>; Mpetile et al. <xref ref-type="bibr" rid="CIT0028">2015</xref>; Safari &#x0026; Fogarty <xref ref-type="bibr" rid="CIT0040">2003</xref>). In a study by Safari and Fogarty (<xref ref-type="bibr" rid="CIT0040">2003</xref>) 14 of 26 heritability estimates for FWEC were log-transformed, resulting in mean values that ranged from 6.88 to 7.49 after transformation. Cloete et al. (<xref ref-type="bibr" rid="CIT0010">2007</xref>), Matebesi-Ranthimo et al. (<xref ref-type="bibr" rid="CIT0025">2014</xref>) and Mpetile et al. (<xref ref-type="bibr" rid="CIT0028">2015</xref>) reported highly variable, skewed and leptokurtic data for FWEC before transformation. Log transformation also improved the properties of their data, resulting in CV that were below 20&#x0025;. Similar results were reported in this study. The high CV value obtained in this study indicates sufficient phenotypic variation, which in turn has a potential to allow genetic gains should selection for low FWEC be desired.</p>
<p>The results pertaining to the birth year x sex interaction were consistent with those previously reported (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>; Mpetile et al. <xref ref-type="bibr" rid="CIT0028">2015</xref>). Previous research attributed this interaction to a lack of control of the challenge on the pastures utilised by the ram and ewe hoggets, which are grazing in single-sex flocks at that stage. A significant interaction of season with year was also observed in this study, suggesting that there is no uniform environment. It is conceivable that short-term climatic conditions hugely impact on log-transformed FWEC, resulting in these trends (Greeff et al. <xref ref-type="bibr" rid="CIT0018">1995</xref>; Kumba et al. <xref ref-type="bibr" rid="CIT0023">2003</xref>; Pandey, Chitate &#x0026; Nyanzunda <xref ref-type="bibr" rid="CIT0032">1993</xref>; Pfukenyi et al. <xref ref-type="bibr" rid="CIT0033">2007</xref>). Animals are routinely exposed to different climatic conditions as a result; the parasite population also fluctuates with season between years and also across years (Cloete et al. <xref ref-type="bibr" rid="CIT0010">2007</xref>; Greeff et al. <xref ref-type="bibr" rid="CIT0018">1995</xref>; Matebesi-Ranthimo et al. <xref ref-type="bibr" rid="CIT0025">2014</xref>; Mpetile et al. <xref ref-type="bibr" rid="CIT0028">2015</xref>). The general trend for FWEC in relation to year and season is reported in the literature (Greeff et al. <xref ref-type="bibr" rid="CIT0018">1995</xref>; Kumba et al. <xref ref-type="bibr" rid="CIT0023">2003</xref>; Rahman <xref ref-type="bibr" rid="CIT0036">1992</xref>). In a study by Kumba et al. (<xref ref-type="bibr" rid="CIT0023">2003</xref>), the least square means for FWEC were 2140 during the warm, wet season, 430 during cold, dry months and 653 during hot, dry months in goats on communal farms of Namibia. Another study on goats by Rahman (<xref ref-type="bibr" rid="CIT0036">1992</xref>) has reported a higher FWEC in the wet season, a moderate FWEC in the hot season and lowest values of FWEC in the cold, dry season. Therefore, when planning a breeding programme for parasite resistance, seasonal variation of FWEC should be considered within and across countries.</p>
<p>The across-season heritability derived for this study from the repeatability model was low at 0.09. However, the three-trait analysis suggested that the magnitude of the genetic variance component for log-transformed FWEC was increased by 87&#x0025; from 0.046 in autumn to 0.086 in winter. The genetic variance component of log-transformed FWEC in spring was increased by an order of magnitude exceeding 3.5 in comparison to FWEC in autumn. Phenotypic variance components were not affected to the same extent, ranging from 0.64 to 0.88 (<xref ref-type="table" rid="T0003">Table 3</xref>). These results seem to suggest that the expression of genetic variation associated with log-transformed FWEC in different seasons differed quite appreciably. The heritability of the natural logarithm of FWEC accordingly amounted to 0.07 in autumn, but it improved appreciably to 0.13 in winter and further to 0.19 in spring, the latter two estimates reaching a level of double the corresponding standard error. The significant (<italic>p</italic> &#x003C; 0.05) heritability estimates for FWEC in winter and spring coincided with the growth of pastures after the first rains in the Mediterranean environment and the hatching of parasite eggs during the wet season. The better nutritional conditions during this time of the year seem to have improved the ability of resistant hosts to mount an immune response at the genetic level, which in turn affected the expression of parasite resistance, leading to higher heritability estimates. Studies by Nieuwoudt, Theron and Kruger (<xref ref-type="bibr" rid="CIT0029">2002</xref>), Cloete et al. (<xref ref-type="bibr" rid="CIT0010">2007</xref>) and Matebesi-Ranthimo et al. (<xref ref-type="bibr" rid="CIT0025">2014</xref>) conducted in South Africa from data collected in spring reported moderate to high heritability estimates (0.14&#x2013;0.24) for FWEC of Merino sheep under natural challenge. These results suggest genetic variation in FWEC and that selection for low FWEC would result in future generation gains. A recent study by Mpetile et al. (<xref ref-type="bibr" rid="CIT0028">2015</xref>), using data collected in autumn from the Elsenburg Merino flock under natural challenge conditions in South African conditions, reported lower but still significant heritability estimates of 0.10 for FWEC. The present results, as well as those of the latter authors, suggested that genetic variation for parasite resistance is not well expressed in autumn, despite adequate parasite challenge (as reflected by high values for FWEC). Therefore, should selection for low FWEC be desired, the animals must be assessed sometime after the break of season in winter and in spring under Mediterranean conditions, when temperature and rainfall are favourable for the development, survival and migration of infective larvae onto pastures (O&#x2019;Connor et al. <xref ref-type="bibr" rid="CIT0031">2006</xref>). Our results also accorded with those obtained by Greeff et al. (<xref ref-type="bibr" rid="CIT0018">1995</xref>) when estimating the genetic variation of FWEC in Merino lambs in different seasons under Mediterranean conditions in Western Australia. Relative to standard errors associated with heritability estimates, the estimates derived in their study were low in autumn (<italic>h</italic><sup>2</sup> = 0.00&#x2013;0.03), moderate during winter to late spring (<italic>h</italic><sup>2</sup> = 0.21&#x2013;0.25) and reached a high of 0.51 during mid-winter. Khusro et al. (<xref ref-type="bibr" rid="CIT0022">2004</xref>) also reported a moderate heritability estimate for cube root transformed FWEC in yearling Merinos (<italic>h</italic><sup>2</sup> = 0.22), while a higher heritability estimate of 0.38 was observed in hoggets. In the latter study, the data were collected from commercial farms with limited information on the season of sampling. However, the current study, along with studies by Greeff et al. (<xref ref-type="bibr" rid="CIT0018">1995</xref>), Rahman (<xref ref-type="bibr" rid="CIT0036">1992</xref>), Rinaldi et al. (<xref ref-type="bibr" rid="CIT0039">2009</xref>) and Kumba et al. (<xref ref-type="bibr" rid="CIT0023">2003</xref>) on goats reported a significant effect of season on FWEC, suggesting that seasonal variation in genetic variation for FWEC should also be considered when planning breeding programs for an improved parasite resistance.</p>
<p>Overall, the heritability estimates of FWEC in our study under South African conditions, although moderate, were below the mean value of 0.27 that was derived from 16 literature sources documented in a major review article by Safari, Fogarty and Gilmour (<xref ref-type="bibr" rid="CIT0041">2005</xref>). In a study by Greeff and Karlsson (<xref ref-type="bibr" rid="CIT0016">1997</xref>), heritability estimates for FWEC were 0.40 for Merino weaners and 0.22 for hoggets under natural challenge. Similar results were reported by Yadav et al. (<xref ref-type="bibr" rid="CIT0050">2006</xref>) and Morris et al. (<xref ref-type="bibr" rid="CIT0027">2005</xref>), with h<sup>2</sup> estimates for FWEC of respectively 0.24 in Muzaffarnagari sheep and 0.22 in 22-week-old Perendale sheep. Comparable results were reported by Clarke (<xref ref-type="bibr" rid="CIT0007">2002</xref>) in Merino sheep, with heritability estimates ranging from 0.18 to 0.40 for weaners, 0.17&#x2013;0.34 during the post weaning period and 0.15&#x2013;0.40 in yearlings. Another study on Merino sheep yielded heritability estimates for FWEC ranging from 0.29 to 0.38 for yearlings and from 0.29 to 0.41 for hoggets depending on the model used (Brown, Swan &#x0026; Gill <xref ref-type="bibr" rid="CIT0005">2010</xref>). A study in New Zealand reported the heritability of FWEC as 0.37 in naturally challenged Romney sheep (Baker et al. <xref ref-type="bibr" rid="CIT0003">1991</xref>). Hence, it is not surprising that selection for low FWEC has resulted in marked genetic gains in New Zealand and Australia (Greeff et al. <xref ref-type="bibr" rid="CIT0017">1999</xref>; Karlsson &#x0026; Greeff <xref ref-type="bibr" rid="CIT0021">2006</xref>; Morris et al. <xref ref-type="bibr" rid="CIT0027">2005</xref>; Woolaston &#x0026; Piper <xref ref-type="bibr" rid="CIT0048">1996</xref>). Similar results can also be expected in South Africa if proper data collection measures, as well as the best sampling period for FWEC, are duly noted and effectively applied.</p>
<p>The lower magnitude of heritability estimates for FWEC obtained in our study could be attributed to a greater variation of FWEC between months within seasons and between seasons within years (Greeff et al. <xref ref-type="bibr" rid="CIT0018">1995</xref>). Additionally, the lower magnitude of our heritability estimates for FWEC could be because of the fact that our study used an accuracy of 100 epg wet faeces compared to a greater accuracy of counts in other studies (Vanimisetti <xref ref-type="bibr" rid="CIT0045">2003</xref>). The latter author reported heritability estimates of 0.42, 0.22 and 0.25 at 3, 4 and 5 weeks, respectively, after artificial challenge with <italic>H. contortus</italic> larvae in sheep. FWEC were counted with a sensitivity of 50 epg wet faeces in this case.</p>
<p>Genetic correlations among log-transformed FWEC in different seasons were moderate to high and positive. Log-transformed FWEC thus seems to be governed by mostly the same genes, irrespective of the season. Although genetic correlations among seasonal log-transformed FWEC measures were not significantly different from each other as indicated by their standard errors, it is notable that the genetic correlation between FWEC in autumn and in spring amounted to only 0.55. The large standard errors accompanying genetic correlations involving FWEC in autumn are possibly because of the smaller additive variance component derived in autumn. Moderate to high positive correlations among FWEC measures in autumn, winter and spring observed in this study seem to suggest that individual free-ranging animals susceptible to nematode infestation in one season are likely to be at risk in other seasons as well. Animals that consume higher volumes of the infected pastures are likely to host greater parasite loads (Zajac <xref ref-type="bibr" rid="CIT0051">2006</xref>). A study by Rinaldi et al. (<xref ref-type="bibr" rid="CIT0039">2009</xref>) in goats reported a positive relationship between worm burden and parasite load, suggesting that an increase in worm burden would also increase FWEC. Similar results were obtained for goats by Cringoli et al. (<xref ref-type="bibr" rid="CIT0013">2008</xref>), where FWEC and worm burdens were positively correlated with each other. Although the latter studies were conducted on goats, their results could be extrapolated to sheep, as small ruminants share many of the same parasite genera and species. Moreover, a strong relationship between FWEC and parasite load supports the use of FWEC to indirectly measure parasite prevalence as well as the level of infestation (Eysker &#x0026; Ploeger <xref ref-type="bibr" rid="CIT0014">2000</xref>).</p>
<p>Finally, it is relevant to consider whether FWEC and other traits involving host resistance should form part of formal sheep recording in South Africa. Cloete et al. (<xref ref-type="bibr" rid="CIT0011">2014</xref>) suggested that disease resistance traits should be considered for inclusion in this recording scheme, as is the case in Australia (Brown et al. <xref ref-type="bibr" rid="CIT0005">2010</xref>, <xref ref-type="bibr" rid="CIT0006">2015</xref>; Khusro et al. <xref ref-type="bibr" rid="CIT0022">2004</xref>) and New Zealand (Pickering et al. <xref ref-type="bibr" rid="CIT0035">2012</xref>). Cloete et al. (<xref ref-type="bibr" rid="CIT0011">2014</xref>) argued that hard-to-measure traits like disease resistance should be targeted for genomic selection procedures in the national sheep flock. Clues as to how to achieve this could be taken from Australia and New Zealand, where such initiatives are already in place (Pickering et al. <xref ref-type="bibr" rid="CIT0034">2015</xref>; Swan et al. <xref ref-type="bibr" rid="CIT0043">2014</xref>).</p>
</sec>
<sec id="s0006">
<title>Conclusion</title>
<p>Genetic variation for FWEC exists. Selection for lower parasite loads is likely to pay dividends in South Africa, as in overseas countries. However, this study suggested that the best time to challenge sheep for deriving breeding values to assist with selection for parasite resistance is sometime after the break of season in winter and/or spring, when greater numbers of infective larvae after the first rains provide an adequate natural challenge under Mediterranean conditions. This study has an implication for the timing of data collection to allow breeding for parasite resistance under South African Mediterranean conditions.</p>
</sec>
</body>
<back>
<ack>
<title>Acknowledgements</title>
<p>The authors wish to express their sincerest gratitude to all those involved in the day-to-day management of the sheep flock used in this study, as well as the staff of the Provincial Veterinary Laboratory at Stellenbosch for conducting or arranging the faecal worm egg counts. This study was partially funded by the THRIP initiative of the South African National Research Foundation, the South African wool industry as well as the Western Cape Agricultural Research Trust. Ms Mpetile was supported with a bursary from the South African Meat Industry Trust.</p>
<sec id="s20007" sec-type="COI-statement">
<title>Competing interests</title>
<p>The authors declare that they have no financial or personal relationships that may have inappropriately influenced them in writing this article.</p>
</sec>
<sec id="s20008">
<title>Authors&#x2019; contributions</title>
<p>Z.M. performed analysis and interpretation of results and writing of the article. K.D. read and contributed to the draft manuscript. S.W.P.C. was involved in maintenance and husbandry of the resource flock, maintenance of the database, sourcing of funding for the study, analysis and interpretation of results, and read and contributed to the draft manuscript.</p>
</sec>
</ack>
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<fn><p><bold>How to cite this article:</bold> Mpetile, Z., Dzama, K. &#x0026; Cloete, S.W.P., 2017, &#x2018;Genetic variation in and relationships among faecal worm eggs recorded in different seasons of the year at the Tygerhoek farm in South Africa&#x2019;, <italic>Journal of the South African Veterinary Association</italic> 88(0), a1484. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.4102/jsava.v88i0.1484">https://doi.org/10.4102/jsava.v88i0.1484</ext-link></p></fn>
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