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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Vet. Sci.</journal-id>
<journal-title>Frontiers in Veterinary Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Vet. Sci.</abbrev-journal-title>
<issn pub-type="epub">2297-1769</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fvets.2021.676956</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Veterinary Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Maintenance and Growth Requirements in Male Dorper &#x000D7; Santa Ines Lambs</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Mendes</surname> <given-names>Marcilio S.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1082081/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Souza</surname> <given-names>Jocely G.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1083479/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Herbster</surname> <given-names>Caio Julio L.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1350542/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Brito Neto</surname> <given-names>Antonio S.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1349585/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Silva</surname> <given-names>Luciano P.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1322692/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Rodrigues</surname> <given-names>Jo&#x000E3;o Paulo P.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/469185/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Marcondes</surname> <given-names>Marcos I.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/465881/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Oliveira</surname> <given-names>Ronaldo L.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1351003/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Bezerra</surname> <given-names>Leilson R.</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1350957/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Pereira</surname> <given-names>Elzania S.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1082481/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Animal Science, Federal University of Ceara</institution>, <addr-line>Fortaleza</addr-line>, <country>Brazil</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Animal Science, Federal University of Southern and Southeastern Para</institution>, <addr-line>Xinguara</addr-line>, <country>Brazil</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Animal Science, Washington State University</institution>, <addr-line>Pullman, WA</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Animal Science, Federal University of Bahia</institution>, <addr-line>Salvador</addr-line>, <country>Brazil</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Animal Science, Federal University of Campina Grande</institution>, <addr-line>Patos</addr-line>, <country>Brazil</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Antonia V&#x000E9;ras, Federal Rural University of Pernambuco, Brazil</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Marcelo Ferreira, Federal Rural University of Pernambuco, Brazil; Alessia Candellone, University of Turin, Italy</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Elzania S. Pereira <email>elzania&#x00040;hotmail.com</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Animal Nutrition and Metabolism, a section of the journal Frontiers in Veterinary Science</p></fn></author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>06</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>676956</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>03</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>05</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2021 Mendes, Souza, Herbster, Brito Neto, Silva, Rodrigues, Marcondes, Oliveira, Bezerra and Pereira.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Mendes, Souza, Herbster, Brito Neto, Silva, Rodrigues, Marcondes, Oliveira, Bezerra and Pereira</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><p>The aim of this study was to estimate the energy and protein requirements for maintenance and growth of lambs. A total of 35 crossbreed Dorper &#x000D7; Santa Ines lambs [31 &#x000B1; 1.28 kg of initial body weight (BW) and 4 months old] were distributed in a completely randomized design with three treatments groups (<italic>ad libitum</italic>, 30 and 60% of feed restriction). Five lambs were slaughtered at the beginning of the experimental trial as a reference group to estimate the initial empty BW (EBW) and body composition. When the animals of the <italic>ad libitum</italic> treatment reached a BW average of 47.2 kg, at day 84 of trial, all lambs were slaughtered. The feed restriction promoted reduction in body fat (<italic>P</italic> &#x0003C; 0.001) and energy concentration (<italic>P</italic> &#x0003C; 0.001), while protein showed a quadratic response (<italic>P</italic> = 0.05). The equations obtained for NEg and NPg requirements were 0.2984 &#x000D7; EBW<sup>0.75</sup> &#x000D7; EBWG<sup>0.8069</sup> and 248.617 &#x000D7; EBW<sup>&#x02212;0.15546</sup>, respectively. The net energy (NEm) and protein (NPm) for maintenance were 71.00 kcal/kg EBW<sup>0.75</sup>/day and 1.76 g/kg EBW<sup>0.75</sup>/day, respectively. In conclusion, the NEg and NPg requirement for lambs with 30 kg of BW and 200 g of average daily gain (ADG) were 0.736 Mcal/day and 24.38 g/day, respectively. Our findings indicate that the NEm for crossbreed Dorper &#x000D7; Santa Ines lambs is similar to those recommended by the international committees; however, we support the hypothesis that the requirements for gain are lower.</p></abstract>
<kwd-group>
<kwd>crossbreed sheep</kwd>
<kwd>efficiency</kwd>
<kwd>energy</kwd>
<kwd>protein</kwd>
<kwd>warm areas</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="9"/>
<ref-count count="41"/>
<page-count count="8"/>
<word-count count="6238"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>International committees (<xref ref-type="bibr" rid="B1">1</xref>&#x02013;<xref ref-type="bibr" rid="B3">3</xref>) play an important role in establishing nutritional recommendations for sheep (<xref ref-type="bibr" rid="B4">4</xref>), especially for those in temperate regions. In tropical scenarios, the nutritional requirements recommended by international committees may not be adequate to meet the physiological needs at different stages of the animal&#x00027;s life (<xref ref-type="bibr" rid="B5">5</xref>). Evolutionary adaptations to the ecological opportunity of selective feeding in smaller animals, rather than by a physiological or metabolic necessity linked to body mass (<xref ref-type="bibr" rid="B6">6</xref>), may explain this phenomenon. Considerable efforts have been made to cluster scientific data and develop feeding systems for ruminants in warm regions (<xref ref-type="bibr" rid="B7">7</xref>). In Brazil, studies on the feed composition and nutritional requirements of hair sheep (<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>) have generated information to establish a committee to meet the real requirements of these animals (<xref ref-type="bibr" rid="B10">10</xref>). Warm regions are characterized by constantly high temperatures, sometimes associated with high humidity (<xref ref-type="bibr" rid="B3">3</xref>), which induces specificities in the characteristics of both feed and animals (<xref ref-type="bibr" rid="B8">8</xref>). Local breeds or crossbreed animals are often used in meat production systems in tropical regions (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>) and may present specific nutritional requirements (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B13">13</xref>&#x02013;<xref ref-type="bibr" rid="B15">15</xref>). Furthermore, an adequate supply of nutrients is necessary mainly to reduce protein costs and to reduce environmental pollution.</p>
<p>The objective of the present study was to determine the body composition and to estimate the energy and protein requirements for maintenance and growth in intact male Dorper &#x000D7; Santa Ines lambs using a comparative slaughter trial.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and Methods</title>
<sec>
<title>Site and Ethics Statement</title>
<p>The trial was conducted at the Animal Nutrition Laboratory of the Department of Animal Science of the Federal University of Ceara in Fortaleza, Ceara State, Brazil (30&#x000B0;43&#x02032;02&#x02033;S, 33&#x000B0;32&#x02032;35&#x02033;W). Throughout the trial period, the mean daily minimum and maximum air temperatures were 24.6&#x000B0;C &#x000B1; 0.82 and 31.2&#x000B0;C &#x000B1; 1.32, respectively, and the minimum and maximum relative humidity were 71.1% &#x000B1; 7.58 and 89.1% &#x000B1; 4.27, respectively. All procedures involving animal care and use were followed according to the standards established by the Ethics Committee on Animal Research of the Federal University of Ceara, Fortaleza, Brazil (UFC) (Protocol No. 3381260719).</p>
</sec>
<sec>
<title>Experimental Design, Animal Management, and Diets</title>
<p>Thirty-five Dorper &#x000D7; Santa Ines intact male lambs, with average body weight (BW) of 31 &#x000B1; 1.28 kg and 4 months old were distributed in a completely randomized design with three treatments groups (<italic>ad libitum</italic>, 30 and 60% of feed restriction). The diets were formulated with 14% crude protein (CP) to meet the requirements for a gain of 200 g/day (<xref ref-type="bibr" rid="B1">1</xref>). The total mixed ration (TMR) was composed of Tifton 85 hay, ground corn, soybean meal, dicalcium phosphate, and mineral premix (<xref ref-type="table" rid="T1">Table 1</xref>). The roughage:concentrate ratio was 60:40. The animals were identified, dewormed, and housed in individual pens (1.5 &#x000D7; 1.5 m) equipped with feed and water troughs. At the beginning of the trial, five lambs were randomly selected and slaughtered to serve as a reference group and used to estimate the initial empty BW (EBW) and body composition. The remaining animals were individually fed (diets as TMR) twice a day (at 0800 and 1600 h). The proportional supply of feed for animals in 30 and 60% feed restriction levels was calculated daily in relation to the average intake of animals subjected to <italic>ad libitum</italic> intake. Water was provided <italic>ad libitum</italic> for all animals. The lambs were weighed weekly to calculate the average daily gain (ADG). The trial lasted for 84 days.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Ingredient proportions and chemical composition of total mix ration (TMR).</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Ingredient</bold></th>
<th valign="top" align="center" colspan="4"><bold>g/kg dry matter (DM)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Tifton 85 grass hay</td>
<td valign="top" align="center" colspan="4">600.0</td>
</tr>
<tr>
<td valign="top" align="left">Ground corn</td>
<td valign="top" align="center" colspan="4">260.7</td>
</tr>
<tr>
<td valign="top" align="left">Soybean meal</td>
<td valign="top" align="center" colspan="4">124.0</td>
</tr>
<tr>
<td valign="top" align="left">Dicalcium phosphate</td>
<td valign="top" align="center" colspan="4">10.2</td>
</tr>
<tr>
<td valign="top" align="left">Mineral premix<xref ref-type="table-fn" rid="TN1"><sup>a</sup></xref></td>
<td valign="top" align="center" colspan="4">5.1</td>
</tr> <tr style="border-top: thin solid #000000;">
<td valign="top" align="left"><bold>Nutrient</bold><break/> <bold>(g/kg DM)</bold></td>
<td valign="top" align="center"><bold>TMR</bold></td>
<td valign="top" align="center"><bold>Tifton 85</bold><break/> <bold>grass hay</bold></td>
<td valign="top" align="center"><bold>Ground</bold><break/> <bold>corn</bold></td>
<td valign="top" align="center"><bold>Soybean</bold><break/> <bold>meal</bold></td>
</tr> <tr>
<td valign="top" align="left">Dry matter</td>
<td valign="top" align="center">911.0</td>
<td valign="top" align="center">916.4</td>
<td valign="top" align="center">906.6</td>
<td valign="top" align="center">900.2</td>
</tr>
<tr>
<td valign="top" align="left">Crude protein</td>
<td valign="top" align="center">141.5</td>
<td valign="top" align="center">86.1</td>
<td valign="top" align="center">70.2</td>
<td valign="top" align="center">508.4</td>
</tr>
<tr>
<td valign="top" align="left">Ether extract</td>
<td valign="top" align="center">30.0</td>
<td valign="top" align="center">26.7</td>
<td valign="top" align="center">44.3</td>
<td valign="top" align="center">13.6</td>
</tr>
<tr>
<td valign="top" align="left">Ash</td>
<td valign="top" align="center">65.5</td>
<td valign="top" align="center">70.2</td>
<td valign="top" align="center">16.3</td>
<td valign="top" align="center">64.4</td>
</tr>
<tr>
<td valign="top" align="left">Neutral detergent fiber</td>
<td valign="top" align="center">498.2</td>
<td valign="top" align="center">737.3</td>
<td valign="top" align="center">145.7</td>
<td valign="top" align="center">128.5</td>
</tr>
<tr>
<td valign="top" align="left">NDFap<xref ref-type="table-fn" rid="TN2"><sup>b</sup></xref></td>
<td valign="top" align="center">455.2</td>
<td valign="top" align="center">676.0</td>
<td valign="top" align="center">125.9</td>
<td valign="top" align="center">109.4</td>
</tr>
<tr>
<td valign="top" align="left">Acid detergent fiber</td>
<td valign="top" align="center">211.9</td>
<td valign="top" align="center">327.0</td>
<td valign="top" align="center">28.2</td>
<td valign="top" align="center">80.6</td>
</tr>
<tr>
<td valign="top" align="left">Total carbohydrate</td>
<td valign="top" align="center">763.0</td>
<td valign="top" align="center">817.0</td>
<td valign="top" align="center">869.2</td>
<td valign="top" align="center">413.6</td>
</tr>
<tr>
<td valign="top" align="left">Non-fibrous carbohydrate</td>
<td valign="top" align="center">307.8</td>
<td valign="top" align="center">141.0</td>
<td valign="top" align="center">743.4</td>
<td valign="top" align="center">304.2</td>
</tr>
<tr>
<td valign="top" align="left">Total digestible nutrients</td>
<td valign="top" align="center">624.5</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TN1">
<label>a</label>
<p><italic>Mineral premix was provided per kilogram of total diet DM, and the composition was as follow: 300&#x02013;200 g of Ca, 50 g of P, 18 g of S, 40 g of Na, 16.5 g of Mg, 60 mg of Co, 85 mg of I, 2,000 mg of Mn, 11 mg of Se, 2,100 mg of Zn, 3,960 mg of Fe, 122 mg of Cu, 1,000 mg of Fl, 33.6 mg of vitamin A, 0.55 mg of vitamin D, 557.1 mg of vitamin E</italic>.</p></fn>
<fn id="TN2">
<label>b</label>
<p><italic>NDFap, neutral detergent fiber corrected for ash and protein</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>Calculations of Metabolizable Energy and Protein Intake</title>
<p>To evaluate the apparent total-tract digestibility of the dietary constituents and consequently the metabolizable energy intake (MEI), we performed a digestibility trial every 15 days during the experimental period by collecting feces for three consecutive days at specific times (<xref ref-type="bibr" rid="B9">9</xref>). The total digestible nutrient (TDN) was calculated according to Weiss (<xref ref-type="bibr" rid="B16">16</xref>). The MEI was estimated from TDN, where digestible energy (DE) was estimated as 4.409 Mcal/kg of TDN and converted to metabolizable energy (ME) using an efficiency of 82%, i.e., ME = 0.82 &#x000D7; DE (<xref ref-type="bibr" rid="B17">17</xref>).</p>
<p>Spot urine samples were collected every 15 days, approximately 4 h after the morning feeding, during spontaneous urination, used for analysis of purine derivatives to estimate microbial crude protein (MCP). The urine was homogenized, and a 5-ml sample was diluted in 45 ml 0.036 N sulfuric acid (1:10 ratio). The absorbed microbial purines and intestinal flow of microbial nitrogen were estimated from the equations proposed by Chen and Gomes (<xref ref-type="bibr" rid="B18">18</xref>). The MCP was calculated by multiplying the TDN intake (TDNI, kg/day) by the average of microbial efficiency of 135.5 g MCP/kg TDNI. The rumen degradable protein (RDP) was considered equal to MCP. The truly digestible microbial crude protein (tdMCP) was estimated by the followed equation:</p>
<disp-formula id="E1"><mml:math id="M1"><mml:mrow><mml:mtext>tdMCP</mml:mtext><mml:mo>=</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:mn>135</mml:mn><mml:mo>.</mml:mo><mml:mn>5</mml:mn><mml:mo>&#x000D7;</mml:mo><mml:mtext>TDNI</mml:mtext><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x000D7;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>64</mml:mn></mml:mrow></mml:math></disp-formula>
<p>where TDNI = TDN intake, and 0.64 is the value considering that the MCP is constituted of 80% of amino acids with intestinal digestibility of 80% (<xref ref-type="bibr" rid="B17">17</xref>).</p>
<p>The rumen undegradable protein (RUP) intake was calculated as CP intake minus RDP. The digestible rumen undegradable protein (dRUP) was calculated according to the followed equation:</p>
<disp-formula id="E2"><mml:math id="M2"><mml:mrow><mml:mtext>dRUP</mml:mtext><mml:mo>=</mml:mo><mml:mtext>RUP</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>80</mml:mn></mml:mrow></mml:math></disp-formula>
<p>where 0.80 is the fixed value of 80% in digestibility of RUP in the small intestine (<xref ref-type="bibr" rid="B17">17</xref>). The metabolizable protein intake (MPI) was calculated as the sum of the tdMCP and dRUP.</p>
</sec>
<sec>
<title>Slaughter, Sampling, and Chemical Analyses</title>
<p>When the <italic>ad libitum</italic> group reached a BW average of 47.2 kg, all animals were slaughtered. Before slaughter, fasted BW (FBW) was determined as the BW after 18 h of no access to feed and water. At slaughter, lambs were stunned with a captive pistol, followed by severing of the jugular vein and carotid artery. Blood collection procedures, gastrointestinal tract, organs, and other parts of the body were performed followed as described by Pereira et al. (<xref ref-type="bibr" rid="B8">8</xref>). The EBW was calculated by subtracting the weight of gastrointestinal and bladder contents from FBW. The carcasses were refrigerated at 4&#x000B0;C for 24 h and then were divided into right and left half-carcasses. Subsequently, the right half-carcasses, non-carcass components (blood, head, hooves, internal organs, and the cleaned gastrointestinal tract), and hides were frozen and then cut with a band saw and ground in an industrial cutter. After grinding and homogenization, samples of 500 g were taken and then frozen at &#x02212;20&#x000B0;C. The samples were placed in a forced-ventilation oven at 55&#x000B0;C for 72 h, after which they were defatted by extraction with ether in a Soxhlet apparatus for 12 h, method number 920.39 (<xref ref-type="bibr" rid="B19">19</xref>). Afterwards, they were ground in a ball mill for the subsequent chemical analyses of body composition. The dry matter (DM), ash, and CP content levels were determined by fat-free samples, following the methods described below for experimental ingredients diets. The body water content was calculated as 100% minus DM.</p>
<p>For analysis, feed, orts, and fecal samples were dried in a forced-air oven at 55&#x000B0;C for 72 h and then ground in a Wiley mill (TE-650; Tecnal, Piracicaba, S&#x000E3;o Paulo, Brazil) with a 1-mm sieve. The DM (method 967.03), CP (method 981.10), ash (method 942.05), ether extract (EE, method 920.39), and acid detergent fiber (ADF, method 913.18) were conducted as described by the Association of Official Analytical Chemists (<xref ref-type="bibr" rid="B19">19</xref>). The neutral detergent fiber (NDF) content was performed as described by Van Soest et al. (<xref ref-type="bibr" rid="B20">20</xref>) using thermostable alpha-amylase without sodium sulfite and corrected for residual ash (<xref ref-type="bibr" rid="B21">21</xref>) and residual nitrogenous compounds (<xref ref-type="bibr" rid="B22">22</xref>). The total carbohydrate content was calculated according to (<xref ref-type="bibr" rid="B23">23</xref>), and nonfibrous carbohydrates were calculated using an equation adapted from Weiss (<xref ref-type="bibr" rid="B16">16</xref>).</p>
</sec>
<sec>
<title>Models and Calculations</title>
<p>To estimate EBW (kg) and EBW gain (EBWG, kg/day), equations obtained from the linear regression of the FBW against the BW, EBW against the FBW and EBWG against the ADG were generated. Only performance animals were used to develop the EBWG equation.</p>
<p>The empty body weight energy (BEC) content was obtained from the body contents of protein (EBP) and fat (EBF) and their respective caloric equivalents of 5.6405 and 9.3929 Mcal/kg (<xref ref-type="bibr" rid="B24">24</xref>).</p>
<p>The retained energy (RE) was obtained as the difference between final and initial body energy contents. The initial body energy contents were estimated from the reference group data by regressing body energy content on EBW.</p>
<p>The net energy requirement for weight gain (NEg, Mcal/day) was estimated using the model used by Chizzotti et al. (<xref ref-type="bibr" rid="B25">25</xref>):</p>
<disp-formula id="E3"><mml:math id="M3"><mml:mrow><mml:mtext>NEg</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mrow><mml:mtext>EBW</mml:mtext></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>75</mml:mn></mml:mrow></mml:msup><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mrow><mml:mtext>EBWG</mml:mtext></mml:mrow><mml:mrow><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>
<p>where &#x003B2;<sub>0</sub> and &#x003B2;<sub>1</sub> = coefficients obtained from the regression of the logarithm of RE (Mcal/kg EBW<sup>0.75</sup>/day) against the logarithm of EBWG (kg/day).</p>
<p>Heat production (HP) was calculated as the difference between MEI and RE. The net energy requirement for maintenance (NEm) was assumed to be the intercept (&#x003B2;<sub>0</sub>) of the exponential regression between HP and MEI as proposed by Ferrell and Jenkins (<xref ref-type="bibr" rid="B26">26</xref>):</p>
<disp-formula id="E4"><mml:math id="M4"><mml:mrow><mml:mtext>HP</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mtext>e</mml:mtext><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mtext>MEI</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>
<p>where HP and MEI are expressed in Mcal/kg EBW<sup>0.75</sup>/day, and &#x003B2;<sub>1</sub> is the equation parameter.</p>
<p>The metabolizable energy requirements for maintenance (MEm), expressed as Mcal/kg EBW<sup>0.75</sup>/day, were estimated by the iterative method as the point where MEI is equal to HP (i.e., the point at which there is no energy retention in the body). In addition, the efficiency of use of metabolizable energy for maintenance (k<sub>m</sub>) was estimated by the ratio between NEm and MEm.</p>
<p>The efficiency of metabolizable energy use for gain (k<sub>g</sub>) was considered the slope (&#x003B2;<sub>1</sub>) of the regression of the RE against MEI:</p>
<disp-formula id="E5"><mml:math id="M5"><mml:mrow><mml:mtext>RE</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mtext>MEI</mml:mtext></mml:mrow></mml:math></disp-formula>
<p>where RE = retained energy (Mcal/kg EBW<sup>0.75</sup>/day), MEI = metabolizable energy intake (Mcal/kg EBW<sup>0.75</sup>/day), and &#x003B2;<sub>0</sub> = the equation parameter.</p>
<p>To calculate the net protein requirements for any body weight gain (NPg, g/day), we adjusted the following model:</p>
<disp-formula id="E6"><mml:math id="M6"><mml:mrow><mml:mtext>NPg</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:msup><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mrow><mml:mtext>EBW</mml:mtext></mml:mrow><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>
<p>where &#x003B2;<sub>0</sub> and &#x003B2;<sub>1</sub> = regression parameters. Reference and performance animals were included in this model.</p>
<p>To estimate the net protein requirements for maintenance (NPm, g/kg EBW<sup>0.75</sup>/day), the retained protein was plotted as a function of MPI according following equation:</p>
<disp-formula id="E7"><mml:math id="M7"><mml:mrow><mml:mtext>RP</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mtext>MPI</mml:mtext></mml:mrow></mml:math></disp-formula>
<p>where RP = retained protein (g/kg EBW<sup>0.75</sup>/day), MPI = metabolizable protein intake (g/kg EBW<sup>0.75</sup>/day), &#x003B2;<sub>0</sub> = NPm, and &#x003B2;<sub>1</sub> = k<sub>pg</sub>.</p>
<p>The metabolizable protein requirement for maintenance (MPm) was obtained from the adaptation of the Wilkerson et al. (<xref ref-type="bibr" rid="B27">27</xref>) and National Research Council (NRC) (<xref ref-type="bibr" rid="B17">17</xref>) equations. MPI was related to the EBWG of the lambs according to the following equation:</p>
<disp-formula id="E8"><mml:math id="M8"><mml:mrow><mml:mtext>MPI</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mtext>EBWG</mml:mtext></mml:mrow></mml:math></disp-formula>
<p>where MPI = MP intake (g/day), EBWG = EBW gain (kg/day), and &#x003B2;<sub>0</sub> and &#x003B2;<sub>1</sub> = parameters determined from a linear regression. Posteriorly, the ratio between the intercept (&#x003B2;<sub>0</sub>) and the average EBW<sup>0.75</sup> of the lambs was considered as MPm:</p>
<disp-formula id="E9"><mml:math id="M9"><mml:mrow><mml:mtext>MPm</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mtext>EBW</mml:mtext></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>75</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<p>The efficiency of metabolizable protein use for maintenance (k<sub>pm</sub>) was calculated as NPm/MPm.</p>
<p>The estimated requirements based on the EBW were converted to the FBW using the factor (1.14), which was obtained from the ratio FBW<sup>0.75</sup>/EBW<sup>0.75</sup>.</p>
</sec>
<sec>
<title>Statistical Analysis</title>
<p>A linear model analysis was performed following a completely randomized design. The statistical model is Yij = &#x003BC; &#x0002B; &#x003B1;i &#x0002B; eij, where Yij = value observed that received treatment i, &#x003BC; = overall mean, &#x003B1;i = fixed effect of treatment i; eij = random error &#x0007E; NID (0, &#x003C3;2).</p>
<p>Treatments were analyzed as orthogonal partition into linear and quadratic effects. A significance level of 5% (&#x003B1; = 0.05) was adopted in this study. We carried out all analysis at SAS System Software (SAS 9.0, SAS Institute Inc., Cary, NC, USA; 2003), ANOVA with generalized linear model (GLM) procedure, linear regressions with REG procedure, and nonlinear models using NLIN procedure along with Marquardt iterative method.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Performance, Intake, Energy Retention, and Body Composition</title>
<p>The final BW, ADG, EBW, and EBWG showed a linear response by feed restriction (<italic>P</italic> &#x0003C; 0.001). The generated equations to predict EBW and EBWG for all experimental animals were FBW (kg) = 0.756 (&#x000B1;0.659) &#x0002B; 0.912 (&#x000B1;0.017) &#x000D7; BW [R<sup>2</sup> = 0.99; root mean square error (RMSE) = 0.673]; EBW (kg) = 0.547 (&#x000B1;0.564) &#x0002B; 0.827 (&#x000B1;0.016) &#x000D7; FBW (R<sup>2</sup> = 0.99; RMSE = 0.631); EBWG (kg/day) = 0.043 (&#x000B1;0.011) &#x0002B; 0.590 (&#x000B1;0.054) &#x000D7; ADG (R<sup>2</sup> = 0.94; RMSE = 0.006).</p>
<p>The DMI (kg/day; g/kg EBW<sup>0.75</sup>/day), MEI, RE, HP (Mcal/kg EBW<sup>0.75</sup>/day), fat (%EBW), and energy (%EBW) decreased linearly with increased feed restriction (<italic>P</italic> &#x0003C; 0.001); however, the protein (%EBW) showed a quadratic response by feed restriction (<italic>P</italic> = 0.05) (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Effects of feed restriction on performance, intake and energy retention, and body composition in intact males Dorper &#x000D7; Santa Ines lambs.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Parameters</bold></th>
<th valign="top" align="center"><bold>REF</bold></th>
<th valign="top" align="center"><bold>SEM</bold></th>
<th valign="top" align="center" colspan="3" style="border-bottom: thin solid #000000;"><bold>Treatments groups</bold></th>
<th valign="top" align="center"><bold>SEM</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><italic><bold>P</bold></italic><bold>-value</bold></th>
</tr>
<tr>
<th/>
<th/>
<th/>
<th valign="top" align="center"><bold>AL</bold></th>
<th valign="top" align="center"><bold>30%</bold></th>
<th valign="top" align="center"><bold>60%</bold></th>
<th/>
<th valign="top" align="center"><bold>Linear</bold></th>
<th valign="top" align="center"><bold>Quadratic</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Initial BW (kg)</td>
<td valign="top" align="center">31.2</td>
<td valign="top" align="center">2.70</td>
<td valign="top" align="center">31.0</td>
<td valign="top" align="center">31.8</td>
<td valign="top" align="center">31.9</td>
<td valign="top" align="center">0.400</td>
<td valign="top" align="center">0.124</td>
<td valign="top" align="center">0.532</td>
</tr>
<tr>
<td valign="top" align="left">Final BW (kg)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">47.2</td>
<td valign="top" align="center">40.5</td>
<td valign="top" align="center">29.3</td>
<td valign="top" align="center">0.733</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.020</td>
</tr>
<tr>
<td valign="top" align="left">FBW (kg)</td>
<td valign="top" align="center">29.2</td>
<td valign="top" align="center">1.95</td>
<td valign="top" align="center">40.9</td>
<td valign="top" align="center">36.0</td>
<td valign="top" align="center">27.0</td>
<td valign="top" align="center">0.604</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.010</td>
</tr>
<tr>
<td valign="top" align="left">ADG (g/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">192.2</td>
<td valign="top" align="center">103.7</td>
<td valign="top" align="center">&#x02212;31.0</td>
<td valign="top" align="center">10.578</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.086</td>
</tr>
<tr>
<td valign="top" align="left">EBW (kg)</td>
<td valign="top" align="center">24.3</td>
<td valign="top" align="center">1.33</td>
<td valign="top" align="center">30.6</td>
<td valign="top" align="center">28.1</td>
<td valign="top" align="center">24.0</td>
<td valign="top" align="center">0.288</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.040</td>
</tr>
<tr>
<td valign="top" align="left">EBWG (g/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">152.5</td>
<td valign="top" align="center">84.3</td>
<td valign="top" align="center">&#x02212;13.6</td>
<td valign="top" align="center">7.091</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.100</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>Intake and energy balance</bold></td>
</tr>
<tr>
<td valign="top" align="left">DMI (kg/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">1.369</td>
<td valign="top" align="center">0.972</td>
<td valign="top" align="center">0.513</td>
<td valign="top" align="center">0.033</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.454</td>
</tr>
<tr>
<td valign="top" align="left">DMI (g/kg EBW<sup>0.75</sup>/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">104.9</td>
<td valign="top" align="center">79.6</td>
<td valign="top" align="center">47.2</td>
<td valign="top" align="center">1.998</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.160</td>
</tr>
<tr>
<td valign="top" align="left">CPI (g/kg EBW<sup>0.75</sup>/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">15.3</td>
<td valign="top" align="center">11.1</td>
<td valign="top" align="center">6.6</td>
<td valign="top" align="center">0.283</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.734</td>
</tr>
<tr>
<td valign="top" align="left">MEI (Mcal/kg EBW<sup>0.75</sup>/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">0.231</td>
<td valign="top" align="center">0.180</td>
<td valign="top" align="center">0.110</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.144</td>
</tr>
<tr>
<td valign="top" align="left">RE (Mcal/kg EBW<sup>0.75</sup>/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.262</td>
</tr>
<tr>
<td valign="top" align="left">HP (Mcal/kg EBW<sup>0.75</sup>/day)</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">0.189</td>
<td valign="top" align="center">0.155</td>
<td valign="top" align="center">0.111</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.363</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>Body composition</bold></td>
</tr>
<tr>
<td valign="top" align="left">Water (%EBW)</td>
<td valign="top" align="center">65.65</td>
<td valign="top" align="center">2.31</td>
<td valign="top" align="center">60.40</td>
<td valign="top" align="center">61.06</td>
<td valign="top" align="center">62.36</td>
<td valign="top" align="center">0.735</td>
<td valign="top" align="center">0.071</td>
<td valign="top" align="center">0.720</td>
</tr>
<tr>
<td valign="top" align="left">Protein (%EBW)</td>
<td valign="top" align="center">18.46</td>
<td valign="top" align="center">0.74</td>
<td valign="top" align="center">16.53</td>
<td valign="top" align="center">17.99</td>
<td valign="top" align="center">17.42</td>
<td valign="top" align="center">0.405</td>
<td valign="top" align="center">0.131</td>
<td valign="top" align="center">0.050</td>
</tr>
<tr>
<td valign="top" align="left">Fat (%EBW)</td>
<td valign="top" align="center">12.26</td>
<td valign="top" align="center">2.63</td>
<td valign="top" align="center">19.09</td>
<td valign="top" align="center">16.46</td>
<td valign="top" align="center">14.62</td>
<td valign="top" align="center">0.840</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.705</td>
</tr>
<tr>
<td valign="top" align="left">Ash (%EBW)</td>
<td valign="top" align="center">3.57</td>
<td valign="top" align="center">0.36</td>
<td valign="top" align="center">3.63</td>
<td valign="top" align="center">3.99</td>
<td valign="top" align="center">4.21</td>
<td valign="top" align="center">0.126</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.670</td>
</tr>
<tr>
<td valign="top" align="left">Energy (Mcal/kg EBW)</td>
<td valign="top" align="center">2.19</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">2.72</td>
<td valign="top" align="center">2.56</td>
<td valign="top" align="center">2.36</td>
<td valign="top" align="center">0.069</td>
<td valign="top" align="center">&#x0003C;0.001</td>
<td valign="top" align="center">0.811</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>REF, reference group; AL, ad libitum intake; 30% and 60%, feed restriction; BW, body weight; FBW, fasted body weight; ADG, average daily gain; EBW, empty body weight; EBWG, empty body weight gain; DMI, dry matter intake; CPI, crude protein intake; MEI, metabolizable energy intake; RE, retained energy; HP, heat production; SEM, standard error of the mean</italic>.</p>
<p><italic>P-value for treatment effect without the reference group</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>The BFC and BEC increased with increasing BW; however, BPC decreased with increasing BW (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Body fat, protein, and energy contents of intact male Dorper &#x000D7; Santa Ines lambs from 30 to 50 kg BW.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>BW</bold></th>
<th valign="top" align="center"><bold>EBW</bold></th>
<th valign="top" align="center"><bold>BFC</bold></th>
<th valign="top" align="center"><bold>BPC</bold></th>
<th valign="top" align="center"><bold>BEC</bold></th>
</tr>
<tr>
<th valign="top" align="left"><bold>(kg)</bold></th>
<th valign="top" align="center"><bold>(kg)</bold></th>
<th valign="top" align="center"><bold>(g/kg EBW)</bold></th>
<th valign="top" align="center"><bold>(g/kg EBW)</bold></th>
<th valign="top" align="center"><bold>(Mcal/kg EBW)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">30</td>
<td valign="top" align="center">28.17</td>
<td valign="top" align="center">134.23</td>
<td valign="top" align="center">179.81</td>
<td valign="top" align="center">2.30</td>
</tr>
<tr>
<td valign="top" align="left">35</td>
<td valign="top" align="center">27.61</td>
<td valign="top" align="center">150.20</td>
<td valign="top" align="center">175.75</td>
<td valign="top" align="center">2.43</td>
</tr>
<tr>
<td valign="top" align="left">40</td>
<td valign="top" align="center">31.39</td>
<td valign="top" align="center">165.65</td>
<td valign="top" align="center">172.28</td>
<td valign="top" align="center">2.55</td>
</tr>
<tr>
<td valign="top" align="left">45</td>
<td valign="top" align="center">35.17</td>
<td valign="top" align="center">180.70</td>
<td valign="top" align="center">169.26</td>
<td valign="top" align="center">2.66</td>
</tr>
<tr>
<td valign="top" align="left">50</td>
<td valign="top" align="center">38.94</td>
<td valign="top" align="center">195.32</td>
<td valign="top" align="center">166.60</td>
<td valign="top" align="center">2.77</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>BW, body weight; EBW, empty body weight; BFC, body fat content; BPC, body protein content; BEC, body energy content</italic>.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>Energy and Protein Requirements</title>
<p>The equation generated to estimate the NEg (Mcal/kg EBW<sup>0.75</sup>/day) was 0.2984 &#x000D7; EBW<sup>0.75</sup> &#x000D7; EBWG<sup>0.8069</sup>. The NEg estimated for intact male Dorper &#x000D7; Santa Ines lambs were 0.736 Mcal/day, considering a BW of 30 kg and ADG of 200 g/day (<xref ref-type="table" rid="T4">Table 4</xref>). The k<sub>g</sub> obtained was 0.348. The value of HP when MEI is zero (NEm) was estimated to be 0.071 Mcal/kg EBW<sup>0.75</sup>/day (<xref ref-type="fig" rid="F1">Figure 1</xref>). The MEm was 0.115 Mcal/kg EBW<sup>0.75</sup>/day, and the k<sub>m</sub> was 0.61.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Net energy and protein requirements for weight gain in intact male Dorper &#x000D7; Santa Ines lambs from 30 to 50 kg BW.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>BW (kg)</bold></th>
<th valign="top" align="center"><bold>EBW (kg)</bold></th>
<th valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>ADG (g/day)</bold></th>
</tr>
<tr>
<th/>
<th/>
<th valign="top" align="center"><bold>100</bold></th>
<th valign="top" align="center"><bold>150</bold></th>
<th valign="top" align="center"><bold>200</bold></th>
<th valign="top" align="center"><bold>250</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="6"><bold>Energy (Mcal/day)</bold></td>
</tr>
<tr>
<td valign="top" align="left">30</td>
<td valign="top" align="center">28.17</td>
<td valign="top" align="center">0.508</td>
<td valign="top" align="center">0.624</td>
<td valign="top" align="center">0.736</td>
<td valign="top" align="center">0.843</td>
</tr>
<tr>
<td valign="top" align="left">35</td>
<td valign="top" align="center">27.61</td>
<td valign="top" align="center">0.567</td>
<td valign="top" align="center">0.697</td>
<td valign="top" align="center">0.821</td>
<td valign="top" align="center">0.941</td>
</tr>
<tr>
<td valign="top" align="left">40</td>
<td valign="top" align="center">31.39</td>
<td valign="top" align="center">0.625</td>
<td valign="top" align="center">0.768</td>
<td valign="top" align="center">0.904</td>
<td valign="top" align="center">1.036</td>
</tr>
<tr>
<td valign="top" align="left">45</td>
<td valign="top" align="center">35.17</td>
<td valign="top" align="center">0.680</td>
<td valign="top" align="center">0.836</td>
<td valign="top" align="center">0.985</td>
<td valign="top" align="center">1.128</td>
</tr>
<tr>
<td valign="top" align="left">50</td>
<td valign="top" align="center">38.94</td>
<td valign="top" align="center">0.734</td>
<td valign="top" align="center">0.902</td>
<td valign="top" align="center">1.063</td>
<td valign="top" align="center">1.218</td>
</tr>
<tr>
<td valign="top" align="left" colspan="6"><bold>Protein (g/day)</bold></td>
</tr>
<tr>
<td valign="top" align="left">30</td>
<td valign="top" align="center">28.17</td>
<td valign="top" align="center">15.14</td>
<td valign="top" align="center">19.89</td>
<td valign="top" align="center">24.38</td>
<td valign="top" align="center">28.86</td>
</tr>
<tr>
<td valign="top" align="left">35</td>
<td valign="top" align="center">27.61</td>
<td valign="top" align="center">15.06</td>
<td valign="top" align="center">19.44</td>
<td valign="top" align="center">23.82</td>
<td valign="top" align="center">28.21</td>
</tr>
<tr>
<td valign="top" align="left">40</td>
<td valign="top" align="center">31.39</td>
<td valign="top" align="center">14.77</td>
<td valign="top" align="center">19.06</td>
<td valign="top" align="center">23.35</td>
<td valign="top" align="center">27.65</td>
</tr>
<tr>
<td valign="top" align="left">45</td>
<td valign="top" align="center">35.17</td>
<td valign="top" align="center">14.51</td>
<td valign="top" align="center">18.73</td>
<td valign="top" align="center">22.95</td>
<td valign="top" align="center">27.16</td>
</tr>
<tr>
<td valign="top" align="left">50</td>
<td valign="top" align="center">38.94</td>
<td valign="top" align="center">14.28</td>
<td valign="top" align="center">18.43</td>
<td valign="top" align="center">22.58</td>
<td valign="top" align="center">26.74</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>BW, body weight; EBW, empty body weight; ADG, average daily gain</italic>.</p>
</table-wrap-foot>
</table-wrap>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Predicted equations by the relationships <bold>(A)</bold> between the heat production (HP) and the metabolizable energy intake (MEI) and <bold>(B)</bold> between the retained energy (RE) and the MEI of <italic>ad libitum</italic> (AL), 30% of feed restriction (30%) and 60% of feed restriction (60%) of intact male Dorper &#x000D7; Santa Ines lambs. EBW, empty body weight; RMSE, root mean square error.</p></caption>
<graphic xlink:href="fvets-08-676956-g0001.tif"/>
</fig>
<p>The equation to estimate the NPg (g/day) was NPg = 248.617 &#x000D7; EBW<sup>&#x02212;0.15546</sup>. The NPg was 24.38 g/day, considering a BW of 30 kg and an ADG of 200 g/day (<xref ref-type="table" rid="T4">Table 4</xref>). The relationship between the MPI and the EBWG is show in <xref ref-type="fig" rid="F2">Figure 2</xref>. The MPm was 4.31 g/kg EBW<sup>0.75</sup>/day. The NPm was 1.76 g/kg EBW<sup>0.75</sup>/day, and the k<sub>pg</sub> was 0.347 (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Predicted equations by the relationships <bold>(A)</bold> between the retained protein (RP) and the metabolizable protein intake (MPI) and <bold>(B)</bold> between the MPI and the empty BW gain (EBWG) of <italic>ad libitum</italic> (AL), 30% of feed restriction (30%) and 60% of feed restriction (60%) of intact male Dorper &#x000D7; Santa Ines lambs. EBW, empty body weight; RMSE, root mean square error.</p></caption>
<graphic xlink:href="fvets-08-676956-g0002.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>Brazilian studies with hair sheep have generated a considerable amount of data that has contributed to improving our understanding of nutritional requirements. Nutrient requirements are not static (<xref ref-type="bibr" rid="B4">4</xref>) and vary with genetic selection (<xref ref-type="bibr" rid="B11">11</xref>) and crossbreeding (<xref ref-type="bibr" rid="B28">28</xref>). Factors such as mathematical models (<xref ref-type="bibr" rid="B29">29</xref>), environmental conditions (<xref ref-type="bibr" rid="B5">5</xref>), genotype (<xref ref-type="bibr" rid="B30">30</xref>) body composition, and feed quality (<xref ref-type="bibr" rid="B9">9</xref>) may influence the NEm requirements.</p>
<p>The body composition and body part masses were predicted for a wide range of live weights, that is, from 30 to 50 kg of Dorper &#x000D7; Santa Ines. In the absence of specific estimates in the literature, the results of this study might be useful for predicting the protein and energy requirements for this category. The NEm obtained in our study was 0.071 Mcal/kg EBW<sup>0.75</sup>/day (or 0.062 Mcal/kg FBW<sup>0.75</sup>/day). This value is 16.9% greater (0.059 Mcal/kg EBW<sup>0.75</sup>/day) in relation to the value obtained with hair sheep by Oliveira et al. (<xref ref-type="bibr" rid="B5">5</xref>). The value determined in this study was consistent with the unadjusted energy requirement value of the NRC (<xref ref-type="bibr" rid="B1">1</xref>), which is 0.062 Mcal/kg FBW<sup>0.75</sup>/day. The crossbreed Dorper &#x000D7; Santa Ines lamb has early maturing when compared to Santa Ines (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B13">13</xref>) and Morada Nova (<xref ref-type="bibr" rid="B9">9</xref>) breeds. The Dorper genotype presents a fast development (<xref ref-type="bibr" rid="B11">11</xref>), and it may influence the NEm result. We also verified that MEm was consistent with those reported by NRC (<xref ref-type="bibr" rid="B1">1</xref>) (0.102 vs. 0.096 Mcal/day, respectively). It is known that, for the same gain, protein and energy cost may be different depending on the body composition (<xref ref-type="bibr" rid="B31">31</xref>). Energetically, fat deposition is more efficient than protein deposition due to the different biochemical pathways and the greater daily turnover of protein than fat (<xref ref-type="bibr" rid="B32">32</xref>). The efficiency use of ME for protein deposition (k<sub>p</sub>) ranges from 10 to 40%, as the efficiency use of ME for fat deposition (k<sub>f</sub>) ranges from 60 to 80% (<xref ref-type="bibr" rid="B33">33</xref>).</p>
<p>It is reported that ME requirements of ruminants raised in tropical regions are higher than the published values for temperate genotypes (<xref ref-type="bibr" rid="B15">15</xref>). However, the expression of the allometric relationship that smaller species requiring more per unit body weight, while mathematically correct, would only explain anything if it was shown that some other factor relates directly to unit body weight. The statement that smaller animals have higher mass-specific metabolic requirements than large animals express the same fact as the statement that smaller animals have the same metabolic requirements as large animals on a metabolic body weight basis (note that the allometric relationship also allows to correctly state that smaller animals have lower absolute metabolic requirements than large animals).</p>
<p>The NEg requirements obtained in our study were lower than those recommended by the NRC (<xref ref-type="bibr" rid="B1">1</xref>) for 4-month-old early maturing lambs. Thus, for a lamb with 30 kg of BW and ADG of 200 g/day, the NEg requirement estimated in the current study was 0.736 Mcal/day, 19% lower than that estimated by NRC (<xref ref-type="bibr" rid="B1">1</xref>) (0.910 Mcal/day). As well as NEg estimates, k<sub>g</sub> values may be affected by the composition of weight gain, so that in sheep, values between 0.18 and 0.30 and 0.66 and 0.74 have been reported for protein deposition and fat, respectively (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B34">34</xref>). In our study, the k<sub>g</sub> was 0.348. The Small Ruminant Nutrition System (SRNS) uses k<sub>g</sub> estimated from the proportion of energy retained in the form of protein, considering 0.27 and 0.68 for protein and fat, respectively (<xref ref-type="bibr" rid="B35">35</xref>). Higher values of k<sub>g</sub> of 0.345 and 0.409 for animals fed with medium- and low-quality forage, respectively, were reported for crossbreed animals Dorper &#x000D7; Santa Ines. These differences being greater associated with changes in the efficiency of fat deposition (<xref ref-type="bibr" rid="B14">14</xref>).</p>
<p>In comparative terms, the MPm of 3.78 g/kg BW<sup>0.75</sup>/day is higher than NRC (<xref ref-type="bibr" rid="B1">1</xref>) of 3.27 g/kg BW<sup>0.75</sup>/day. Our estimates are similar to those reported by Wilkerson et al. (<xref ref-type="bibr" rid="B27">27</xref>) for beef cattle (3.8 g/kg BW<sup>0.75</sup>/day). For all types of growing goats, MPm of 3.07 g/kg BW<sup>0.75</sup>/day was reported by Luo et al. (<xref ref-type="bibr" rid="B36">36</xref>). Higher requirements for MPm can be attributed to the high rates of metabolism of visceral organs and tissues during the growth of the animal, which increases maintenance costs compared to animals that have reached maturity weight (<xref ref-type="bibr" rid="B37">37</xref>). Differences in the MP requirements are attributed to dietary quality. The contribution of MCP to the MP intake in our study was computed as 135.5 g MCP/kg TDN intake. Therefore, the estimate of 3.78 g/kg BW<sup>0.75</sup>/day is not independent of the estimate of MCP, meaning that 3.78 g/kg BW<sup>0.75</sup>/day is valid only when the 135.5 g MCP/kg TDN intake is used to predict MCP. Animals fed roughages of low nutritional value tend to have low N retention and consequently higher protein requirements. In our study, the k<sub>pm</sub> obtained was 0.41, which is lower than the values adopted by the international committees. However, the great variability that exists between the values adopted [0.75 for Agricultural Research Council (ARC) (<xref ref-type="bibr" rid="B24">24</xref>); 0.67 for Commonwealth Scientific and Industrial Research Organization (CSIRO) (<xref ref-type="bibr" rid="B37">37</xref>), and NRC (<xref ref-type="bibr" rid="B1">1</xref>); 1.0 for Agricultural and Food Research Council (AFRC) (<xref ref-type="bibr" rid="B38">38</xref>, <xref ref-type="bibr" rid="B39">39</xref>); and 0.70 for CSIRO (<xref ref-type="bibr" rid="B2">2</xref>)] illustrates the uncertainty about the actual efficiency of use of the absorbed amino acids (AA). The efficiency of use of the metabolizable protein depends on the source of MP for the synchronization between the AA profile of the metabolized protein and the maintenance-related tissues; therefore, it is positively correlated with the protein biological value (<xref ref-type="bibr" rid="B40">40</xref>). In addition, the estimates of MPI can contribute to the variability observed in the efficiency of protein use. An inaccuracy associated with the mathematical models used to estimate the intake of RUP and the constant values used to calculate the digestible fractions of the true microbial protein and RUP (0.80) may contribute to the underestimation or overestimation of MPI. Differences in the need for metabolizable proteins can be attributed to the quality of the diet (<xref ref-type="bibr" rid="B15">15</xref>). Given the uncertainties in the determination of MCP, current estimates of metabolizable protein required for maintenance are biased. The use of empirical equations to predict MCP, which, in turn, is used to estimate metabolizable protein intake, is risky because it establishes a dependency between these estimates and creates a specificity that is not appropriate for mechanistic systems. Despite the existence of data and knowledge about the partitioning of retained energy into fat and protein, the prediction of retained protein remains unsatisfactory.</p>
<p>In our study, the NPg decreased as the lambs&#x00027; body weight increased. The reduction in BW protein concentration with advancing maturity has been clearly established in sheep (<xref ref-type="bibr" rid="B41">41</xref>) and determines the decrease in daily requirements for weight gain. As the animal grows, total protein and ash content increase at similar rates in early life decelerating later. The NPg requirements are represented by the amount of AA made available to the animal tissue, discounting the AA pool that is metabolically prioritized by the animal to counteract the endogenous N losses by the animal&#x00027;s organism, such as losses of CP in feces, urine, wool, and/or scurf and fiber (<xref ref-type="bibr" rid="B1">1</xref>). The NPg estimates presented in the NRC (<xref ref-type="bibr" rid="B1">1</xref>) are higher than the estimates obtained for Dorper &#x000D7; Santa Ines sheep. The high rate of body fat deposition reported by the NRC (<xref ref-type="bibr" rid="B1">1</xref>) differs from our estimates. Many factors can alter the gain composition during the feeding period, but it is assumed that the composition of the fat-free matter remains constant. Similarly, the heats of combustion of fat and protein are assumed to be invariable, although lower differences might exist as a result of differences in the determination. The k<sub>pg</sub> estimated in the current study (0.35) was higher than those obtained in hair sheep trials (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>). As with the efficient use of metabolizable protein for maintenance, there is no consensus regarding the values of k<sub>pg</sub>, which have varied between 0.59 (<xref ref-type="bibr" rid="B39">39</xref>) and 0.70 (<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B37">37</xref>), the k<sub>pg</sub> obtained with Dorper &#x000D7; Santa Ines sheep is compatible with the idea that the efficiency of use of the metabolizable protein is influenced by the energy supply to the animals, which, possibly, is associated with the reduction in the use of AA for hepatic gluconeogenesis where energy intake is high.</p>
<p>The use of recommendations based on international feeding systems has as consequence nutrient wastage for Dorper &#x000D7; Santa Ines between 30 and 50 kg of body weight, since the amounts of energy and protein required for the gain of the sheep were lower than the values recommended by international committees. These findings are of great importance for the targeted improvement of nutrient levels in ruminants. In conclusion, the net and metabolizable energy requirements for maintenance of crossbreed Dorper &#x000D7; Santa Ines lambs were 71.00 and 115.00 kcal/kg EBW<sup>0.75</sup>/day, respectively. The net energy and protein requirements for gain could be obtained by the respective equations NEg (Mcal/day) = 0.2984 &#x000D7; EBW<sup>0.75</sup> &#x000D7; EBWG<sup>0.8069</sup> and NPg (g/day) = 248.617 &#x000D7; EBW<sup>&#x02212;0.15546</sup>.</p>
</sec>
<sec sec-type="data-availability-statement" id="s5">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Ethics Statement</title>
<p>The animal study was reviewed and approved by Ethics Committee on Animal Research of the Federal University of Ceara, Fortaleza, Brazil (UFC) (Protocol number 3381260719).</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>ESP is the leader of the research project and responsible for all parts of the study, from the project to the publication. MSM, CJLH, and ASBN contributed to performing the experiment and collecting the data. ESP, JGS, JPPR, RLO, and LRB contributed to the writing, review, and editing of the manuscript. JPPR, MIM, and LPS analyzed the data. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</body>
<back>
<ack><p>The authors would like to acknowledge the financial assistance of the INCT, CNPq-Brazil, and CAPES.</p>
</ack>
<ref-list>
<title>References</title>
<ref id="B1">
<label>1.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>NRC</collab></person-group>. <source>Nutrient Requirements of Small Ruminants: Sheep, Goats, Cervids and New World Camelids</source>. <publisher-loc>Washington, DC</publisher-loc>: <publisher-name>National Academy Press</publisher-name> (<year>2007</year>).</citation></ref>
<ref id="B2">
<label>2.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>CSIRO</collab></person-group>. <source>Nutrient Requirements of Domesticated Ruminants</source>. <publisher-loc>Collingwood</publisher-loc>: <publisher-name>CSIRO Publishing</publisher-name> (<year>2007</year>).</citation></ref>
<ref id="B3">
<label>3.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>INRA</collab></person-group>. <source>INRA Feeding System for Ruminants</source>. <publisher-loc>Wageningen</publisher-loc>: <publisher-name>Wageningen Academic Publishers</publisher-name> (<year>2018</year>).</citation></ref>
<ref id="B4">
<label>4.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cannas</surname> <given-names>A</given-names></name> <name><surname>Tedeschi</surname> <given-names>LO</given-names></name> <name><surname>Fox</surname> <given-names>DG</given-names></name> <name><surname>Pell</surname> <given-names>AN</given-names></name> <name><surname>Van</surname> <given-names>Soest PJ</given-names></name></person-group>. <article-title>A mechanistic model for predicting the nutrient requirements and feed biological values for sheep</article-title>. <source>J Anim Sci</source>. (<year>2004</year>) <volume>82</volume>:<fpage>149</fpage>&#x02013;<lpage>69</lpage>. <pub-id pub-id-type="doi">10.2527/2004.821149x</pub-id><pub-id pub-id-type="pmid">14753358</pub-id></citation></ref>
<ref id="B5">
<label>5.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Oliveira</surname> <given-names>AP</given-names></name> <name><surname>Pereira</surname> <given-names>ES</given-names></name> <name><surname>Biffani</surname> <given-names>S</given-names></name> <name><surname>Medeiros</surname> <given-names>AN</given-names></name> <name><surname>Silva</surname> <given-names>AMA</given-names></name> <name><surname>Oliveira</surname> <given-names>RL</given-names></name> <etal/></person-group>. <article-title>Meta-analysis of the energy and protein requirements of hair sheep raised in the tropical region of Brazil</article-title>. <source>J Anim Physiol Anim Nutr</source>. (<year>2017</year>) <volume>102</volume>:<fpage>E52</fpage>&#x02013;<lpage>60</lpage>. <pub-id pub-id-type="doi">10.1111/jpn.12700</pub-id><pub-id pub-id-type="pmid">28252227</pub-id></citation></ref>
<ref id="B6">
<label>6.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Clauss</surname> <given-names>M</given-names></name> <name><surname>Steuer</surname> <given-names>P</given-names></name> <name><surname>M&#x000FC;ller</surname> <given-names>DW</given-names></name> <name><surname>Codron</surname> <given-names>D</given-names></name> <name><surname>Hummel</surname> <given-names>J</given-names></name></person-group>. <article-title>Herbivory and body size: allometries of diet quality and gastrointestinal physiology, and implications for herbivore ecology and dinosaur gigantism</article-title>. <source>PLoS ONE</source>. (<year>2013</year>) <volume>8</volume>:<fpage>E68714</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0068714</pub-id><pub-id pub-id-type="pmid">24204552</pub-id></citation></ref>
<ref id="B7">
<label>7.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>BR-CORTE</collab></person-group>. <source>Nutrient Requirements of Zebu and Crossbred Cattle. 3rd.Edn</source>. <publisher-loc>Vi&#x000E7;osa</publisher-loc>: <publisher-name>Suprema Gr&#x000E1;fica Ltda</publisher-name> (<year>2016</year>). <pub-id pub-id-type="doi">10.5935/978-85-8179-111-1.2016B002</pub-id></citation></ref>
<ref id="B8">
<label>8.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pereira</surname> <given-names>ES</given-names></name> <name><surname>Lima</surname> <given-names>FWR</given-names></name> <name><surname>Marcondes</surname> <given-names>MI</given-names></name> <name><surname>Rodrigues</surname> <given-names>JPP</given-names></name> <name><surname>Campos</surname> <given-names>ACN</given-names></name> <name><surname>Silva</surname> <given-names>LP</given-names></name> <etal/></person-group>. <article-title>Energy and protein requirements of Santa Ines lambs, a breed of hair sheep</article-title>. <source>Animal</source>. (<year>2017</year>) <volume>11</volume>:<fpage>2165</fpage>&#x02013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1017/S1751731117001185</pub-id><pub-id pub-id-type="pmid">28578721</pub-id></citation></ref>
<ref id="B9">
<label>9.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pereira</surname> <given-names>ES</given-names></name> <name><surname>Pereira</surname> <given-names>MWF</given-names></name> <name><surname>Marcondes</surname> <given-names>MI</given-names></name> <name><surname>Medeiros</surname> <given-names>NA</given-names></name> <name><surname>Oliveira</surname> <given-names>RL</given-names></name> <name><surname>Silva</surname> <given-names>LP</given-names></name> <etal/></person-group>. <article-title>Maintenance and growth requirements in male and female hair lambs</article-title>. <source>Small Rumin Res</source>. (<year>2018</year>) <volume>159</volume>:<fpage>75</fpage>&#x02013;<lpage>83</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2017.11.003</pub-id><pub-id pub-id-type="pmid">26431709</pub-id></citation></ref>
<ref id="B10">
<label>10.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Herbster</surname> <given-names>CJL</given-names></name> <name><surname>Silva</surname> <given-names>LP</given-names></name> <name><surname>Marcondes</surname> <given-names>MI</given-names></name> <name><surname>Garcia</surname> <given-names>IFF</given-names></name> <name><surname>Oliveira</surname> <given-names>R</given-names></name> <name><surname>Cabral</surname> <given-names>L</given-names></name> <etal/></person-group>. <article-title>Weight adjustment equation for hair sheep raised in warm conditions</article-title>. <source>Animal</source>. (<year>2020</year>) <volume>14</volume>:<fpage>1718</fpage>&#x02013;<lpage>23</lpage>. <pub-id pub-id-type="doi">10.1017/S1751731120000294</pub-id><pub-id pub-id-type="pmid">32148215</pub-id></citation></ref>
<ref id="B11">
<label>11.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Malhado</surname> <given-names>CHM</given-names></name> <name><surname>Carneiro</surname> <given-names>PLS</given-names></name> <name><surname>Affonso</surname> <given-names>PRAM</given-names></name> <name><surname>Souza</surname> <given-names>AAO</given-names></name> <name><surname>Sarmento</surname> <given-names>JLR</given-names></name></person-group>. <article-title>Growth curves in Dorper sheep crossed with the local Brazilian breeds, Morada Nova, Rabo Largo, and Santa In&#x000EA;s</article-title>. <source>Small Rumin Res</source>. (<year>2009</year>) <volume>84</volume>:<fpage>16</fpage>&#x02013;<lpage>21</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2009.04.006</pub-id></citation></ref>
<ref id="B12">
<label>12.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Souza</surname> <given-names>DA</given-names></name> <name><surname>Villarroel</surname> <given-names>ABS</given-names></name> <name><surname>Pereira</surname> <given-names>ES</given-names></name> <name><surname>Os&#x000F3;rio</surname> <given-names>JCS</given-names></name> <name><surname>Teixeira</surname> <given-names>A</given-names></name></person-group>. <article-title>Growth performance, feed efficiency and carcass characteristics of lambs produced from Dorper sheep crossed with Santa In&#x000EA;s or Brazilian Somali sheep</article-title>. <source>Small Rumin Res</source>. (<year>2013</year>) <volume>114</volume>:<fpage>51</fpage>&#x02013;<lpage>5</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2013.06.006</pub-id></citation></ref>
<ref id="B13">
<label>13.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Regadas Filho</surname> <given-names>JGL</given-names></name> <name><surname>Pereira</surname> <given-names>ES</given-names></name> <name><surname>Pimentel</surname> <given-names>PG</given-names></name> <name><surname>Villarroel</surname> <given-names>ABS</given-names></name> <name><surname>Medeiros</surname> <given-names>AN</given-names></name> <name><surname>Fontenele</surname> <given-names>RM</given-names></name></person-group>. <article-title>Body composition and net energy requirements for Santa Ines lambs</article-title>. <source>Small Rumin Res</source>. (<year>2013</year>) <volume>109</volume>:<fpage>107</fpage>&#x02013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2012.07.011</pub-id><pub-id pub-id-type="pmid">28578721</pub-id></citation></ref>
<ref id="B14">
<label>14.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Galvani</surname> <given-names>DB</given-names></name> <name><surname>Pires</surname> <given-names>AV</given-names></name> <name><surname>Susin</surname> <given-names>I</given-names></name> <name><surname>Gouv&#x000EA;a</surname> <given-names>VN</given-names></name> <name><surname>Berndt</surname> <given-names>A</given-names></name> <name><surname>Chagas</surname> <given-names>LJ</given-names></name> <etal/></person-group>. <article-title>Energy efficiency of growing ram lambs fed concentrate-based diets with different roughage sources</article-title>. <source>J Anim Sci</source>. (<year>2014</year>) <volume>92</volume>:<fpage>250</fpage>&#x02013;<lpage>63</lpage>. <pub-id pub-id-type="doi">10.2527/jas.2012-6017</pub-id><pub-id pub-id-type="pmid">24352972</pub-id></citation></ref>
<ref id="B15">
<label>15.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Salah</surname> <given-names>N</given-names></name> <name><surname>Sauvant</surname> <given-names>D</given-names></name> <name><surname>Archim&#x000E8;de</surname> <given-names>H</given-names></name></person-group>. <article-title>Nutritional requirements of sheep, goats and cattle in warm climates: a meta-analysis</article-title>. <source>Animal</source>. (<year>2014</year>) <volume>8</volume>:<fpage>1439</fpage>&#x02013;<lpage>47</lpage>. <pub-id pub-id-type="doi">10.1017/S1751731114001153</pub-id><pub-id pub-id-type="pmid">24902005</pub-id></citation></ref>
<ref id="B16">
<label>16.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Weiss</surname> <given-names>WP</given-names></name></person-group>. <article-title>Symposium: prevailing concepts in energy utilization by ruminants. Predicting energy values of feeds</article-title>. <source>J Dairy Sci</source>. (<year>1993</year>) <volume>76</volume>:<fpage>1802</fpage>&#x02013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.3168/jds.S0022-0302(93)77512-8</pub-id></citation></ref>
<ref id="B17">
<label>17.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>NRC</collab></person-group>. <source>Nutrient Requirements of Beef Cattle, 7 Edn</source>. <publisher-loc>Washington, DC</publisher-loc>: <publisher-name>National Academy Press</publisher-name> (<year>2000</year>).</citation></ref>
<ref id="B18">
<label>18.</label>
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>XB</given-names></name> <name><surname>Gomes</surname> <given-names>JM</given-names></name></person-group>. <article-title>Estimation of microbial protein supply to sheep and cattle based on urinary excretion of purine derivatives: an overview of the technical details</article-title>. <source>Occasional Publication of the International Feed Resources Unit</source>. <publisher-name>Rowett Research Institute</publisher-name>. <publisher-loc>Bucksburn, Aberdeen</publisher-loc> (<year>1992</year>).</citation></ref>
<ref id="B19">
<label>19.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>AOAC</collab></person-group>. <source>Official Methods of Analysis, 15th Edn</source>. <publisher-loc>Washington, DC</publisher-loc>: <publisher-name>AOAC International</publisher-name> (<year>1990</year>).</citation></ref>
<ref id="B20">
<label>20.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Van Soest</surname> <given-names>PJ</given-names></name> <name><surname>Robertson</surname> <given-names>JB</given-names></name> <name><surname>Lewis</surname> <given-names>BA</given-names></name></person-group>. <article-title>Methods for dietary fiber, neutral detergent fiber, and non-starch polysaccharides in relation to animal nutrition</article-title>. <source>J Dairy Sci</source>. (<year>1991</year>) <volume>74</volume>:<fpage>3583</fpage>&#x02013;<lpage>97</lpage>. <pub-id pub-id-type="doi">10.3168/jds.S0022-0302(91)78551-2</pub-id></citation></ref>
<ref id="B21">
<label>21.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mertens</surname> <given-names>DR</given-names></name> <name><surname>Allen</surname> <given-names>M</given-names></name> <name><surname>Carmany</surname> <given-names>J</given-names></name> <name><surname>Clegg</surname> <given-names>J</given-names></name> <name><surname>Davidowicz</surname> <given-names>A</given-names></name> <name><surname>Drouches</surname> <given-names>M</given-names></name> <etal/></person-group>. <article-title>Gravimetric determination of amylase-treated neutral detergent fiber in feeds with refluxing in beakers or crucibles: collaborative study</article-title>. <source>J AOAC Int</source>. (<year>2002</year>) <volume>85</volume>:<fpage>1217</fpage>&#x02013;<lpage>40</lpage>. <pub-id pub-id-type="pmid">12477183</pub-id></citation></ref>
<ref id="B22">
<label>22.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Licitra</surname> <given-names>G</given-names></name> <name><surname>Hernandez</surname> <given-names>TM</given-names></name> <name><surname>Van Soest</surname> <given-names>PJ</given-names></name></person-group>. <article-title>Standardization of procedures for nitrogen fractionation of ruminant feeds</article-title>. <source>Anim Feed Sci Tech</source>. (<year>1996</year>) <volume>57</volume>:<fpage>347</fpage>&#x02013;<lpage>58</lpage>. <pub-id pub-id-type="doi">10.1016/0377-8401(95)00837-3</pub-id></citation></ref>
<ref id="B23">
<label>23.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sniffen</surname> <given-names>CJ</given-names></name> <name><surname>O&#x00027;Connor</surname> <given-names>JD</given-names></name> <name><surname>Van Soest</surname> <given-names>PJ</given-names></name> <name><surname>Fox</surname> <given-names>DG</given-names></name> <name><surname>Russell</surname> <given-names>JB</given-names></name></person-group>. <article-title>A net carbohydrate and protein system for evaluating cattle diets: II. carbohydrate and protein availability</article-title>. <source>J Anim Sci</source>. (<year>1992</year>) <volume>70</volume>:<fpage>3562</fpage>&#x02013;<lpage>77</lpage>. <pub-id pub-id-type="doi">10.2527/1992.70113562x</pub-id><pub-id pub-id-type="pmid">1459919</pub-id></citation></ref>
<ref id="B24">
<label>24.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>ARC</collab></person-group>. <source>The Nutrient Requirement of Ruminant Livestock</source>. <publisher-loc>Slough</publisher-loc>: <publisher-name>Commonwealth Agricultural Bureaux</publisher-name> (<year>1980</year>).</citation></ref>
<ref id="B25">
<label>25.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chizzotti</surname> <given-names>ML</given-names></name> <name><surname>Tedeschi</surname> <given-names>LO</given-names></name> <name><surname>Valadares Filho</surname> <given-names>SC</given-names></name></person-group>. <article-title>A meta-analysis of energy and protein requirements for maintenance and growth of Nellore cattle</article-title>. <source>J Anim Sci</source>. (<year>2008</year>) <volume>86</volume>:<fpage>1588</fpage>&#x02013;<lpage>97</lpage>. <pub-id pub-id-type="doi">10.2527/jas.2007-0309</pub-id><pub-id pub-id-type="pmid">18375666</pub-id></citation></ref>
<ref id="B26">
<label>26.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ferrell</surname> <given-names>CL</given-names></name> <name><surname>Jenkins</surname> <given-names>TG</given-names></name></person-group>. <article-title>Body composition and energy utilization by steers of diverse genotypes fed a high-concentrate diet during the finishing period: II. Angus, Boran, Brahman, Hereford, and Tuli sires</article-title>. <source>J Anim Sci</source>. (<year>1998</year>) <volume>76</volume>:<fpage>647</fpage>&#x02013;<lpage>57</lpage>. <pub-id pub-id-type="doi">10.2527/1998.762647x</pub-id><pub-id pub-id-type="pmid">9498376</pub-id></citation></ref>
<ref id="B27">
<label>27.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wilkerson</surname> <given-names>VA</given-names></name> <name><surname>Klopfenstein</surname> <given-names>TJ</given-names></name> <name><surname>Britton</surname> <given-names>RA</given-names></name> <name><surname>Stock</surname> <given-names>RA</given-names></name> <name><surname>Miller</surname> <given-names>PS</given-names></name></person-group>. <article-title>Metabolizable protein and amino acid requirements of growing cattle</article-title>. <source>J Anim Sci</source>. (<year>1993</year>) <volume>71</volume>:<fpage>2777</fpage>&#x02013;<lpage>84</lpage>. <pub-id pub-id-type="doi">10.2527/1993.71102777x</pub-id><pub-id pub-id-type="pmid">8226380</pub-id></citation></ref>
<ref id="B28">
<label>28.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Nsahlai</surname> <given-names>IV</given-names></name> <name><surname>Goetsch</surname> <given-names>AL</given-names></name> <name><surname>Luo</surname> <given-names>J</given-names></name> <name><surname>Johnson</surname> <given-names>ZB</given-names></name> <name><surname>Moore</surname> <given-names>JE</given-names></name> <name><surname>Sahlu</surname> <given-names>T</given-names></name> <etal/></person-group>. <article-title>Metabolizable energy requirements of lactating goats</article-title>. <source>Small Rumin Res</source>. (<year>2004</year>) <volume>53</volume>:<fpage>253</fpage>&#x02013;<lpage>73</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2004.04.007</pub-id></citation></ref>
<ref id="B29">
<label>29.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tedeschi</surname> <given-names>LO</given-names></name> <name><surname>Fox</surname> <given-names>DG</given-names></name> <name><surname>Guiroy</surname> <given-names>PJ</given-names></name></person-group>. <article-title>A decision support system to improve individual cattle management. 1. A mechanistic, dynamic model for animal growth</article-title>. <source>Agric Syst</source>. (<year>2004</year>) <volume>79</volume>:<fpage>171</fpage>&#x02013;<lpage>204</lpage>. <pub-id pub-id-type="doi">10.1016/S0308-521X(03)00070-2</pub-id></citation></ref>
<ref id="B30">
<label>30.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Teixeira</surname> <given-names>IAMA</given-names></name> <name><surname>Fernandes</surname> <given-names>MHMR</given-names></name> <name><surname>Filho</surname> <given-names>JMP</given-names></name> <name><surname>Canesin</surname> <given-names>RC</given-names></name> <name><surname>Gomes</surname> <given-names>RA</given-names></name> <name><surname>Resende</surname> <given-names>KT</given-names></name></person-group>. <article-title>Body composition, protein and energy efficiencies, and requirements for growth of F1 Boer x Saanen goat kids</article-title>. <source>J Anim Sci</source>. (<year>2017</year>) <volume>95</volume>:<fpage>2121</fpage>&#x02013;<lpage>32</lpage>. <pub-id pub-id-type="doi">10.2527/jas.2016.1252</pub-id><pub-id pub-id-type="pmid">28726997</pub-id></citation></ref>
<ref id="B31">
<label>31.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Galvani</surname> <given-names>DB</given-names></name> <name><surname>Pires</surname> <given-names>CC</given-names></name> <name><surname>Kozloski</surname> <given-names>GV</given-names></name> <name><surname>Wommer</surname> <given-names>TP</given-names></name></person-group>. <article-title>Energy requirements of Texel crossbred lambs</article-title>. <source>J Anim Sci</source>. (<year>2008</year>) <volume>86</volume>:<fpage>3480</fpage>&#x02013;<lpage>90</lpage>. <pub-id pub-id-type="doi">10.2527/jas.2008-1097</pub-id><pub-id pub-id-type="pmid">18708598</pub-id></citation></ref>
<ref id="B32">
<label>32.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vermorel</surname> <given-names>M</given-names></name> <name><surname>Bickel</surname> <given-names>H</given-names></name></person-group>. <article-title>Utilization of feed energy by growing ruminants</article-title>. <source>Ann Zootech</source>. (<year>1980</year>) <volume>29</volume>:<fpage>127</fpage>&#x02013;<lpage>43</lpage>.</citation></ref>
<ref id="B33">
<label>33.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Garrett</surname> <given-names>WN</given-names></name></person-group>. <article-title>Factors influencing energetic efficiency of beef production</article-title>. <source>J Anim Sci</source>. (<year>1980</year>) <volume>51</volume>:<fpage>1434</fpage>&#x02013;<lpage>40</lpage>. <pub-id pub-id-type="doi">10.2527/jas1981.5161434x</pub-id></citation></ref>
<ref id="B34">
<label>34.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Graham</surname> <given-names>RM</given-names></name></person-group>. <article-title>Variation in energy and nitrogen utilization by sheep between weaning and maturity</article-title>. <source>Austr J Agric Res</source>. (<year>1980</year>) <volume>31</volume>:<fpage>335</fpage>&#x02013;<lpage>45</lpage>.</citation></ref>
<ref id="B35">
<label>35.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tedeschi</surname> <given-names>LO</given-names></name> <name><surname>Cannas</surname> <given-names>A</given-names></name> <name><surname>Fox</surname> <given-names>DG</given-names></name></person-group>. <article-title>A nutrition mathematical model to account for dietary supply and requirements of energy and other nutrients for domesticated small ruminants: the development and evaluation of the Small Ruminant Nutrition System</article-title>. <source>Small Rumin Res</source>. (<year>2010</year>) <volume>89</volume>:<fpage>174</fpage>&#x02013;<lpage>84</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2009.12.041</pub-id></citation></ref>
<ref id="B36">
<label>36.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Luo</surname> <given-names>J</given-names></name> <name><surname>Goestch</surname> <given-names>AL</given-names></name> <name><surname>Nsahlai</surname> <given-names>IV</given-names></name> <name><surname>Sahlu</surname> <given-names>T</given-names></name> <name><surname>Ferrell</surname> <given-names>CL</given-names></name> <name><surname>Owens</surname> <given-names>FN</given-names></name> <etal/></person-group>. <article-title>Metabolizable protein requirements for maintenance and gain of growing goats</article-title>. <source>Small Rumin Res</source>. (<year>2004</year>) <volume>53</volume>:<fpage>309</fpage>&#x02013;<lpage>26</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2004.04.003</pub-id></citation></ref>
<ref id="B37">
<label>37.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>CSIRO</collab></person-group>. <source>Feeding Standards for Australian Livestock</source>. Ruminants. <publisher-loc>Melbourne</publisher-loc>: <publisher-name>CSIRO Publications</publisher-name> (<year>1990</year>).</citation></ref>
<ref id="B38">
<label>38.</label>
<citation citation-type="journal"><person-group person-group-type="author"><collab>AFRC</collab></person-group>. <article-title>Nutritive Requirements of Ruminant Animals: Protein (Report 9)</article-title>. <source>Nutr Abstr Rev</source>. (<year>1992</year>) <volume>62</volume>:<fpage>787</fpage>&#x02013;<lpage>835</lpage>.</citation></ref>
<ref id="B39">
<label>39.</label>
<citation citation-type="book"><person-group person-group-type="author"><collab>AFRC</collab></person-group>. <source>Energy and Protein Requirements of Ruminants</source>. <publisher-loc>Wallingford</publisher-loc>: <publisher-name>CAB International</publisher-name> (<year>1993</year>).</citation></ref>
<ref id="B40">
<label>40.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cantalapiedra-Hijar</surname> <given-names>G</given-names></name> <name><surname>Ortigues-Marty</surname> <given-names>I</given-names></name> <name><surname>Sepchat</surname> <given-names>B</given-names></name> <name><surname>Agabriel</surname> <given-names>J</given-names></name> <name><surname>Huneau</surname> <given-names>JF</given-names></name> <name><surname>Fouillet</surname> <given-names>H</given-names></name></person-group>. <article-title>Diet&#x02013;animal fractionation of nitrogen stable isotopes reflects the efficiency of nitrogen assimilation in ruminants</article-title>. <source>Br J Nutr</source>. (<year>2015</year>) <volume>113</volume>:<fpage>1158</fpage>&#x02013;<lpage>69</lpage>. <pub-id pub-id-type="doi">10.1017/S0007114514004449</pub-id><pub-id pub-id-type="pmid">25716533</pub-id></citation></ref>
<ref id="B41">
<label>41.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Galvani</surname> <given-names>DB</given-names></name> <name><surname>Pires</surname> <given-names>CC</given-names></name> <name><surname>Kozloski</surname> <given-names>GV</given-names></name> <name><surname>Sanchez</surname> <given-names>LMB</given-names></name></person-group>. <article-title>Protein requirements of texel crossbred lambs</article-title>. <source>Small Rumin Res</source>. (<year>2009</year>) <volume>81</volume>:<fpage>55</fpage>&#x02013;<lpage>62</lpage>. <pub-id pub-id-type="doi">10.1016/j.smallrumres.2008.11.003</pub-id></citation></ref>
</ref-list>
<fn-group>
<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> This research was supported by the Institutos Nacionais de Ci&#x000EA;ncia e Tecnologia (INCT), Conselho Nacional de Desenvolvimento Cient&#x000ED;fico e Tecnol&#x000F3;gico (CNPq-Brasil, process number 425358/2018-6), and the Coordena&#x000E7;&#x000E3;o de Aperfei&#x000E7;oamento de Pessoal de N&#x000ED;vel Superior (CAPES).</p>
</fn>
</fn-group>
</back>
</article>
