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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Anim. Sci.</journal-id>
<journal-title>Frontiers in Animal Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Anim. Sci.</abbrev-journal-title>
<issn pub-type="epub">2673-6225</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fanim.2023.1195221</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Animal Science</subject>
<subj-group>
<subject>Methods</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A method for calculating the external costs of farm animal welfare based on the Welfare Quality<sup>&#xae;</sup> Protocol</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Vissers</surname>
<given-names>Luuk S. M.</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2260861"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van Wagenberg</surname>
<given-names>Coen P. A.</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1119685"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Baltussen</surname>
<given-names>Willy H. M.</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1207857"/>
</contrib>
</contrib-group>
<aff id="aff1">
<institution>Department Chain &amp; Market, Wageningen Economic Research</institution>, <addr-line>Wageningen</addr-line>, <country>Netherlands</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Janice Swanson, Michigan State University, United states</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Andrew Butterworth, University of Bristol, United Kingdom; Andrea Bragaglio, Council for Agricultural and Economics Research (CREA), Italy</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Luuk S. M. Vissers, <email xlink:href="mailto:luuk.vissers@wur.nl">luuk.vissers@wur.nl</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>05</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>4</volume>
<elocation-id>1195221</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>03</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>04</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Vissers, van Wagenberg and Baltussen</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Vissers, van Wagenberg and Baltussen</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 production of food from animals poses societal concern about the welfare of these animals in Western countries and increasingly also in economically developing countries. Animals and people may experience disutility from animal suffering, which can be seen as an external cost that is not (fully) included in the cost of production. Thus, consumers will consume too much of the good from an aggregate utilitarian perspective. A potential way to solve this issue is by including these external costs in the production costs. The aim of this paper was to provide a method that can be used to estimate the external costs of animal welfare (AW) of animals kept at farm level. The external costs were calculated by means of a cost function. This cost function shows the relationship between the AW score and costs of AW measures at farm level. The AW scores were calculated from principle scores of the Welfare Quality<sup>&#xae;</sup> Protocol. The method was applied to three case studies, namely dairy cattle production in Germany, pig production in the Netherlands, and broiler production in the Netherlands. The results indicate that the external costs of AW of dairy cattle systems ranged from 0.02 to 0.10 euro/kg milk, those of pig production systems from 1.00 to 1.36 euro/kg live weight and those of broiler production systems from 3.67 to 4.52 euro/kg live weight. The empirical application showed that the method was effective in estimating external animal costs. The insights obtained from the application of our method can support decision making in the development and adoption of more AW friendly production systems.</p>
</abstract>
<kwd-group>
<kwd>animal welfare</kwd>
<kwd>externalities</kwd>
<kwd>external costs</kwd>
<kwd>livestock farming</kwd>
<kwd>economic performance</kwd>
</kwd-group>
<contract-sponsor id="cn001">Top Sector Agri and Food<named-content content-type="fundref-id">10.13039/501100023703</named-content>
</contract-sponsor>
<counts>
<fig-count count="4"/>
<table-count count="8"/>
<equation-count count="12"/>
<ref-count count="35"/>
<page-count count="14"/>
<word-count count="8513"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Animal Welfare and Policy</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>In past decades, there has been increasing societal concern about the welfare of farmed animals, particularly in Western countries such as in Europe. According to the latest <xref ref-type="bibr" rid="B12">Eurobarometer (2016)</xref> on animal welfare (AW), around 94% of European citizens find it important to protect the welfare of farmed animals, and 82% believe that welfare of farmed animals should be better protected than it is now. To address such societal concerns about AW, public and private initiatives have been introduced in the European Union. In 1998, the European Commission (EC) implemented Council Directive 98/58/EC, which sets welfare standards for all farmed animals. There are specific Council Directives that cover individual animal categories such as calves (2008/119/EC), pigs (2008/120/EC), laying hens (1999/74/EC) and chickens kept for meat production (2007/43/EC). In various European countries, AW labelling schemes have been introduced by the private sector, such as Better Life in Netherlands, Initative Tierwohl in Germany and RSPCA assured in the United Kingdom. These initiatives show that AW is an important topic in Western societies. Studies show that citizens are also becoming increasingly aware and sensitive to AW issues in economically developing countries such as China (<xref ref-type="bibr" rid="B23">Lu et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B26">Parlasca et&#xa0;al., 2023</xref>).</p>
<p>When the level of AW drops below a certain standard, the keeping of animals for food production creates a negative externality: animal suffering (<xref ref-type="bibr" rid="B24">Lusk and Norwood, 2011</xref>). Animals and people may experience disutility from animal suffering, which can be seen as an external cost. As these external costs are not fully included in the cost of production, consumers will consume too much of the good from an aggregate utilitarian perspective (<xref ref-type="bibr" rid="B24">Lusk and Norwood, 2011</xref>). A potential way to solve this issue is by including these external costs in the production costs. In recent years, various methods have been developed to calculate the external costs of food products, such as those by <xref ref-type="bibr" rid="B29">True Cost Initiative (2022)</xref> and <xref ref-type="bibr" rid="B15">Galgani et&#xa0;al. (2021)</xref>. These methods consider environmental and social aspects such as child labor and excessive working hours, but do not include AW. To the best of our knowledge, a method is currently lacking that can be used to estimate the external costs of AW of animals kept at farm level. Our paper aims to provide such a method that can be applied to animal production systems (conventional as well as more extensive systems) in all livestock sectors. We applied our developed method to three case studies, dairy cattle production in Germany, pig production in the Netherlands, and broiler production in the Netherlands.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Materials and equipment</title>
<p>In our method to calculate the external costs of AW at farm or production system level, two datasets are needed: 1) AW score, and 2) costs of AW measures.</p>
<sec id="s2_1">
<label>2.1</label>
<title>AW score dataset</title>
<p>The first dataset contains data about the level of AW score of farms with different levels of AW and is based on the welfare principle scores of the Welfare Quality<sup>&#xae;</sup> Protocol (WQ protocol) as a measuring standard. Lacking a &#x2018;gold standard&#x2019;, the WQ protocol is considered as the most extensive protocol to assess AW (<xref ref-type="bibr" rid="B30">Van Eerdenburg et&#xa0;al., 2021</xref>). Here, we provide a short summary description of the WQ Protocol. For a full description, we refer to the <xref ref-type="bibr" rid="B35">Welfare Quality&#xae; Protocol (2009)</xref>. The WQ protocol is developed for key production animals, namely cattle, pigs, broilers and laying hens. For some animals, only the producing period is considered in the protocol (e.g. dairy), whereas for other animals also the rearing period, transport and slaughter of the animal is considered (e.g. broilers). The WQ protocol uses predominantly animal-based measures, which are measures taken on animals themselves. Examples include measures on the presence and severity of lesions or death rates. It uses resource-based measures when animal-based measures are not applicable or not reliable enough for a welfare criterion. Resource-based measures are measures on the physical environment and resources available to the animal such as space allowance and housing facilities. Animal-based measures are preferred over resource-based measures because the link between specific resource-based measures and an animal&#x2019;s welfare status is not always clearly understood (<xref ref-type="bibr" rid="B4">Blokhuis, 2008</xref>). The drawback of animal-based measures is that they require flock visits that are time consuming, costly and not routinely applied in commercial practice (<xref ref-type="bibr" rid="B8">De Jong et&#xa0;al., 2022</xref>). The values obtained for different measures as measured on a farm are used to assign the farm to a specific welfare category. In the WQ Protocol, four welfare categories are distinguished:</p>
<list list-type="bullet">
<list-item>
<p>Not classified: the welfare of animals is low and considered unacceptable.</p>
</list-item>
<list-item>
<p>Acceptable: the welfare of animals is above or meets minimal requirements.</p>
</list-item>
<list-item>
<p>Enhanced: the welfare of animals is good.</p>
</list-item>
<list-item>
<p>Excellent: the welfare of the animals is of the highest level.</p>
</list-item>
</list>
<p>A farm is assigned to a qualitative welfare category based on quantitative scores on four welfare principles, namely good feeding, good housing, good health, and appropriate behavior (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), according to formulas described in <xref ref-type="bibr" rid="B35">Welfare Quality&#xae; Protocol (2009)</xref>. Each welfare principle score is expressed on a 0 to 100 scale, where 100 corresponds to the best situation one can find in a farm. In the <xref ref-type="bibr" rid="B35">Welfare Quality&#xae; Protocol (2009)</xref>, thresholds are set on welfare principle scores for a farm to be assigned to a certain welfare category. For instance, the welfare category &#x2018;excellent&#x2019; is achieved when the farm scores at least 55 on each of the four welfare principles and at least 80 on two or more of them (<xref ref-type="bibr" rid="B35">Welfare Quality&#xae; Protocol, 2009</xref>). The value of each welfare principle is calculated based on the value of two to four underlying welfare criteria, which each are calculated based on the values of one or more underlying quantitative animal-based welfare measures, in total 30, according to formulas described in <xref ref-type="bibr" rid="B35">Welfare Quality&#xae; Protocol (2009)</xref>.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Welfare principles and criteria in the WQ protocol.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Welfare principles</th>
<th valign="top" colspan="2" align="left">Welfare criteria</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="2" align="left">1 Good feeding</td>
<td valign="top" align="left">1</td>
<td valign="top" align="left">Absence of prolonged hunger</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left">Absence of prolonged thirst</td>
</tr>
<tr>
<td valign="top" rowspan="3" align="left">2 Good housing</td>
<td valign="top" align="left">3</td>
<td valign="top" align="left">Comfort around resting</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left">Thermal comfort</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left">Ease of movement</td>
</tr>
<tr>
<td valign="top" rowspan="3" align="left">3 Good health</td>
<td valign="top" align="left">6</td>
<td valign="top" align="left">Absence of injuries</td>
</tr>
<tr>
<td valign="top" align="left">7</td>
<td valign="top" align="left">Absence of disease</td>
</tr>
<tr>
<td valign="top" align="left">8</td>
<td valign="top" align="left">Absence of pain induced by management procedures</td>
</tr>
<tr>
<td valign="top" rowspan="4" align="left">4 Appropriate behavior</td>
<td valign="top" align="left">9</td>
<td valign="top" align="left">Expression of social behaviors</td>
</tr>
<tr>
<td valign="top" align="left">10</td>
<td valign="top" align="left">Expression of other behaviors</td>
</tr>
<tr>
<td valign="top" align="left">11</td>
<td valign="top" align="left">Good human-animal relationship</td>
</tr>
<tr>
<td valign="top" align="left">12</td>
<td valign="top" align="left">Positive emotional state</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Costs of AW measures data</title>
<p>The second dataset contains data about the farm level costs of AW measures applied in production at different levels of AW and the potential economic benefits of improved AW. To calculate the external costs arising from environmental impacts, the damage costs and abatement costs approach are the most commonly adopted ones (<xref ref-type="bibr" rid="B2">Antheaume, 2004</xref>; <xref ref-type="bibr" rid="B28">Sundqvist et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B7">De Bruyn et&#xa0;al., 2018</xref>). Damage costs are the direct costs associated with the damage and abatement costs are the costs associated with controlling or mitigating the damage (<xref ref-type="bibr" rid="B28">Sundqvist et&#xa0;al., 2004</xref>). In the context of AW, damage costs are the costs needed to compensate the party that is affected by the damage, in our case animals. Abatement costs are costs of measures needed to prevent that the damage occurs. We applied abatement costs and not damage costs, because it is not possible to determine the financial level that an animal deems as sufficient compensation. Prevention of re-occurrence of AW problems is possible by improving farm management or the environment of the animals to a level where AW issues are minimized (<xref ref-type="bibr" rid="B3">Bessei, 2006</xref>; <xref ref-type="bibr" rid="B33">Von Keyserlingk et&#xa0;al., 2009</xref>). The abatement costs reflect the increase in costs at farm level needed to satisfy with this level. In others words, the abatement costs are the costs associated with a set of measures required to achieve this level of AW. Therefore, the second dataset contains data about the farm level costs of AW measures. A higher level of AW might also result in benefits through reduced costs due to improved productivity and animal health. Such benefits should be included in the dataset as negative costs of AW measures. The benefits of an AW measure are very likely to be lower than the costs, because otherwise all animal farmers would have implemented the AW measure already. When data on costs and benefits of AW measures is not available, the production costs of farms with different levels of AW can be used as a proxy. In this last case, the differences in production costs between a farm with a lower and higher level of AW should be corrected for differences in costs resulting from other differences between the farms, for example in costs of environmental measures. In this case, both costs and benefits of AW measures are included in the data. This dataset can be built using different resources, for example production costs retrieved from farm financial records, data gathered for statistical purposes (for example, data from the Farm Accountancy Data Network in the EU), and literature that calculated average production costs of specific production systems (e.g., conventional or organic).</p>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Method</title>
<p>Our method consists of the following 7 steps, which we discuss below:</p>
<list list-type="order">
<list-item>
<p>Collect AW score data and costs of AW measures data</p>
</list-item>
<list-item>
<p>Set compensation thresholds&#x2019; value</p>
</list-item>
<list-item>
<p>Calculate corrected welfare principle scores</p>
</list-item>
<list-item>
<p>Calculate AW score on farm level</p>
</list-item>
<list-item>
<p>Set excellence AW threshold value</p>
</list-item>
<list-item>
<p>Generate cost function</p>
</list-item>
<list-item>
<p>Calculate external costs for AW</p>
</list-item>
</list>
<sec id="s3_1">
<label>3.1</label>
<title>Step 1: Collect AW score data and costs of AW measures data</title>
<p>In step 1, data is gathered about 1) the AW score on the welfare principles of the WQ Protocol and 2) the costs of AW measures on farms of a particular animal species and at least two different production systems with different levels of AW scores (e.g., conventional and organic). The welfare principle scores are used in our method rather than the welfare categories of the WQ protocol, because welfare principle scores are on an interval scale and welfare categories only on an ordinal scale. Our method requires scores on an interval scale to estimate quantitative differences in AW score between farms with different levels of AW. AW data can be gathered by visiting farms and assessing the animals on the farm using the WQ Protocol. AW score data should be collected for each of the four welfare principles. We define <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> as the score on welfare principle <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> (1 = good feeding, 2 = good housing, 3 = good health, 4 = appropriate behavior) of a farm <italic>n</italic> (<italic>n</italic> = 1, &#x2026;, <italic>N</italic>) with production system <italic>x</italic> (<italic>x</italic> = 1,., <italic>X</italic>). Actual costs of AW measures can be gathered on these farms as well based on accounting data. We define <italic>CAWM<sub>n,x</sub>
</italic> as the costs of AW measures of farm <italic>n</italic> with production system <italic>x</italic>. Potential benefits of these AW measures through lower costs, defined as <italic>BAWM<sub>n,x</sub>
</italic>, can also be gathered on these farms for example by analyzing the difference between the situation before and after implementation of an AW measure. The costs of AW measures of farm <italic>n</italic> with production system <italic>x</italic>, defined as <italic>C<sub>n,x</sub>
</italic>, can then be calculated as:</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>W</mml:mi>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>B</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>W</mml:mi>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Alternatively, secondary data can be obtained from studies that applied WQ Protocol on farms of interest and/or provided their costs and benefits of AW measures, or production costs. Note that both costs and benefits of AW measures are included using production costs corrected for other differences between farms. Thus, <italic>C<sub>n,x</sub>
</italic> is directly estimated.</p>
<p>All principle scores are required in our method. Some studies that applied the WQ Protocol did not consider all four welfare principles. For instance, <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref> did not consider good feeding because they did not expect large differences between the broiler production systems in the Netherlands since all farmers are required to give access to feed and water constantly due to regulation, irrespective of the system type (<xref ref-type="bibr" rid="B10">Dutch Ministry of Agriculture Nature and Food Quality, 2022</xref>). If data is lacking for one or more principles, expert estimation should be used to estimate the welfare measures underlying these principles, for example, based on resource-based measures (e.g. number of drinking nipples per meter) or animal-based measures of comparable systems.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Step 2: Set compensation thresholds&#x2019; value</title>
<p>In step 2, thresholds are set with minimum requirements for when compensation between the welfare principles is allowed, similarly to the WQ Protocol. According to the WQ Protocol, higher scores on certain welfare principles can compensate lower scores on other welfare principles if the scores on the welfare principles are above certain thresholds. For example, scores on all four welfare principles need to be at least 55 for a farm to be assigned the welfare category &#x2018;excellent&#x2019;, and then only if the scores on at least two principles are 80 or higher (<xref ref-type="bibr" rid="B35">Welfare Quality&#xae; Protocol, 2009</xref>). However, no compensation is possible if the score on at least one welfare principle is below a certain threshold. For example, a score of 56 for good health cannot compensate a score of 54 for good housing to achieve the welfare category &#x2018;excellent&#x2019;.</p>
<p>In our method a minimum score threshold <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
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<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
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<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is set for a minimum score of each welfare principle. If the score on two or more welfare principle scores are below this threshold <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
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</mml:math>
</inline-formula>, no compensation is possible. Note, that we allow for one welfare principle score to be below this threshold <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
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</inline-formula>. If compensation is allowed, we maximize the compensation between the principles in our method by setting a maximum compensation threshold <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
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<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> for the maximum difference in points between welfare principles. If the difference in points between two welfare principle scores is more than <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula> points, the highest score is reduced to the lowest score plus <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> points.</p>
<p>We suggest to use a minimum score threshold value of <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> = 20 points, which is in accordance with the welfare category &#x2018;acceptable&#x2019;, and a maximum compensation threshold value of <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> = 35 points, based on the difference between the thresholds of the welfare categories &#x2018;acceptable&#x2019; (20 points) and &#x2018;enhanced&#x2019; (55 points).</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Step 3: Calculate corrected welfare principle scores</title>
<p>In step 3, corrected welfare principle scores <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are calculated based on the welfare principle scores <inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> collected in step 1 and the compensation thresholds <inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> set in step 2 (equation 2 &#x2013; 5). First, the four welfare principle scores <inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> for each farm <italic>n</italic> in each production system <italic>x</italic> are ranked from low to high with welfare principle <italic>j</italic> having the lowest score and <italic>m</italic> the highest (equation 2). If the welfare principle score <inline-formula>
<mml:math display="inline" id="im16">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of the second lowest welfare principle <italic>k</italic> is less than <inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, then the corrected welfare principle score of all four welfare principles is equal to the lowest welfare principle score <inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of welfare principle <italic>j</italic> (equation 3). Hence, no compensation between welfare principle scores is possible. If <inline-formula>
<mml:math display="inline" id="im19">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is at least <inline-formula>
<mml:math display="inline" id="im20">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, some compensation between welfare principles is allowed. If the difference between a welfare principle score <inline-formula>
<mml:math display="inline" id="im21">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and the lowest welfare principle score <inline-formula>
<mml:math display="inline" id="im22">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is larger than <inline-formula>
<mml:math display="inline" id="im23">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the corrected welfare principle score <inline-formula>
<mml:math display="inline" id="im24">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is equal to the lowest welfare principle score <inline-formula>
<mml:math display="inline" id="im25">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> plus <inline-formula>
<mml:math display="inline" id="im26">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> points (equation 4). If this difference is smaller than <inline-formula>
<mml:math display="inline" id="im27">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the corrected welfare principle score <inline-formula>
<mml:math display="inline" id="im28">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is equal to the original welfare principle score <inline-formula>
<mml:math display="inline" id="im29">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (equation 5).</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&lt;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&lt;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&lt;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>if</mml:mtext>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&lt;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>if</mml:mtext>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&gt;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>if</mml:mtext>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Step 4: Calculate AW score on farm level</title>
<p>In step 4, the AW score <inline-formula>
<mml:math display="inline" id="im35">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on a farm <italic>n</italic> with production system <italic>x</italic> is calculated as the sum of corrected welfare principle scores <inline-formula>
<mml:math display="inline" id="im36">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on welfare principle <italic>i</italic> (equation 6):</p>
<disp-formula>
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Step 5: Set excellence AW threshold value</title>
<p>In step 5, an excellence AW threshold <inline-formula>
<mml:math display="inline" id="im37">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is set that reflects the level of AW at which the animals only suffer minimal welfare infringements. The value of <inline-formula>
<mml:math display="inline" id="im38">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is such that it is assumed that the external AW costs of a farm are zero when it has an AW score equal to or higher than <inline-formula>
<mml:math display="inline" id="im39">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). In the WQ Protocol, each welfare principle score can be between 0 and 100 points, where 100 points corresponds to the best situation one can find in a farm. As the WQ protocol includes four principles, the excellence AW threshold can have a maximum value of 400.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Illustration of the cost-function for AW and the external costs for a conventional, middle-segment and organic farm.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1195221-g001.tif"/>
</fig>
<p>We argue that the excellence AW threshold should not only be based on what can be theoretically achieved, but also what can realistically be achieved in practice. Therefore, we suggest an excellence AW threshold of <inline-formula>
<mml:math display="inline" id="im40">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> =270 points. This is the minimal value of the sum of the welfare principle scores for a farm to be in the welfare category &#x2018;excellent&#x2019; in the WQ Protocol (two times 80 and two times 55).</p>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Step 6: Generate cost function</title>
<p>In step 6, a cost function <inline-formula>
<mml:math display="inline" id="im41">
<mml:mi>C</mml:mi>
</mml:math>
</inline-formula> is generated that provides the relationship between the AW score <inline-formula>
<mml:math display="inline" id="im42">
<mml:mi>S</mml:mi>
</mml:math>
</inline-formula> and the costs of AW measures <inline-formula>
<mml:math display="inline" id="im43">
<mml:mi>C</mml:mi>
</mml:math>
</inline-formula> based on the AW scores <inline-formula>
<mml:math display="inline" id="im44">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (step 4) and costs of AW measures <italic>C<sub>n,x</sub>
</italic> (step 1) of all <inline-formula>
<mml:math display="inline" id="im45">
<mml:mi>N</mml:mi>
</mml:math>
</inline-formula> farms and <italic>X</italic> production systems (see equation 7).</p>
<disp-formula>
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>S</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The costs of AW measures of an excellent farm with an AW score on or beyond the excellence AW threshold <inline-formula>
<mml:math display="inline" id="im46">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (step 5) might be known, if such a farm exists. However, if such a farm does not exist, the costs of AW measures at the excellence AW threshold <inline-formula>
<mml:math display="inline" id="im47">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> must be estimated by extrapolating C from the available data to the expected costs of AW measures of a hypothetical farm with AW score <inline-formula>
<mml:math display="inline" id="im48">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> using regular statistical extrapolation techniques. Various tools can be applied to generate the cost function, for instance with the trendline option in Microsoft Excel (<xref ref-type="bibr" rid="B25">Microsoft Corporation, 2018</xref>).</p>
<p>
<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> shows the general shape of the cost function, which is expected to be convex with a positive slope. This is based on <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref> and <xref ref-type="bibr" rid="B32">Vissers et&#xa0;al. (2019)</xref>, who found a positive relationship between AW improvements and costs of AW measures and that the improvement in AW from a conventional farm to a middle-segment farm is relatively cost-efficient, whereas that from a middle-segment farm to an organic farm is relatively cost-inefficient.</p>
</sec>
<sec id="s3_7">
<label>3.7</label>
<title>Step 7: Calculate external costs for AW</title>
<p>In step 7, the external costs <inline-formula>
<mml:math display="inline" id="im49">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of farm <inline-formula>
<mml:math display="inline" id="im50">
<mml:mi>n</mml:mi>
</mml:math>
</inline-formula> in production system <inline-formula>
<mml:math display="inline" id="im51">
<mml:mi>x</mml:mi>
</mml:math>
</inline-formula> (in euro/kg live weight, milk or eggs) are calculated as the difference between the estimated costs of AW measures at AW score <inline-formula>
<mml:math display="inline" id="im52">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and the actual costs of AW measures <inline-formula>
<mml:math display="inline" id="im53">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> at AW score <inline-formula>
<mml:math display="inline" id="im54">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (equation 8). If farm <inline-formula>
<mml:math display="inline" id="im55">
<mml:mi>n</mml:mi>
</mml:math>
</inline-formula> has an AW score that exceeds the excellence AW threshold <inline-formula>
<mml:math display="inline" id="im56">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the external costs are zero (equation 9). <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> shows the external costs <inline-formula>
<mml:math display="inline" id="im57">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im58">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im59">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of a conventional, middle-segment and an organic farm, respectively.</p>
<disp-formula>
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>if</mml:mtext>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>if</mml:mtext><mml:mo>&#xa0;</mml:mo>          <mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&gt;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s3_8">
<label>3.8</label>
<title>Calculate external costs of AW for a production system</title>
<p>By following the seven steps of the method, the external costs AW of a farm are calculated. The same seven steps (and equations) can be applied to calculate the external costs of a production system, such as conventional or organic. For a production system, the cost function is based on average welfare principle scores <inline-formula>
<mml:math display="inline" id="im62">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and average costs of AW measures <italic>C<sub>x</sub>
</italic> of farms in that production system. The average AW score and costs of AW measures of a production system <italic>x</italic> are calculated as the unweighted average of the AW scores <inline-formula>
<mml:math display="inline" id="im63">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (equation 10) and costs of AW measures <inline-formula>
<mml:math display="inline" id="im64">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (equation 11) of the <italic>N</italic> farms in that production system. This is in line with <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref>, who applied the unweighted average to calculate the average AW score and costs per production system.</p>
<disp-formula>
<label>(10)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(11)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>If assessing production systems, secondary data about costs of AW measures can be gathered that reflects the average of farms in that production system. This can help to save on costs for data collection.</p>
</sec>
</sec>
<sec id="s4" sec-type="results">
<label>4</label>
<title>Results</title>
<sec id="s4_1" sec-type="results">
<label>4.1</label>
<title>Results case studies</title>
<p>We applied our developed method to three case studies with different production systems, namely the conventional and organic dairy cattle production system in Germany, the conventional, 1-star Better Life, and organic pig production system in the Netherlands, and the conventional, 1-star Better Life, 2-star Better Life and organic broiler production system in the Netherlands. Better Life is a Dutch AW scheme that uses a star rating to determine the AW level of the systems. Organic livestock production systems qualify for 3 stars (<xref ref-type="bibr" rid="B11">Dutch Society for the Protection of Animals, 2021</xref>). In Germany, all organic standards that are advertised with their logo on meat products of this type are assigned to level 4 of the <xref ref-type="bibr" rid="B19">Haltungsform (2023)</xref>, which is an AW label of Initative Tierwohl that classifies different forms of animal husbandry.</p>
<sec id="s4_1_1">
<label>4.1.1</label>
<title>Step 1: Collect AW data using the WQ Protocol and costs of AW measures data</title>
<p>In all three case studies, welfare principle scores and production costs were retrieved from secondary data because it was too time consuming and costly to gather primary data on farms with the WQ protocol. Since data about the costs of AW measures was lacking for these systems, we used the data on the production costs of these systems as a proxy. Compared to the conventional system, the 1-star and 2-star Better Life systems include only more stringent measures on AW, other requirements are similar (<xref ref-type="bibr" rid="B11">Dutch Society for the Protection of Animals, 2021</xref>). Therefore, comparing the production costs of these systems can be used as a proxy for comparing the costs of AW measures in these systems. The organic system includes not only more stringent measures on AW, but also on environmental externalities such as soil pollution as laid down in Regulation (EU) 2018/848 (<xref ref-type="bibr" rid="B13">European Commission, 2018</xref>). Therefore, the additional cost of organic compared to conventional production does not only include the costs of AW measures but also those of measures for environmental externalities. Therefore, these production costs need to be corrected. The additional costs of measures for environmental externalities in the organic system are mainly related to feed. As laid down in Regulation (EU) 834/2007, feed for organic livestock must be composed of certified organic agricultural products (<xref ref-type="bibr" rid="B13">European Commission, 2018</xref>). This requirement results in a higher feed price compared to the price of conventional feed. In the Dutch broiler and pig sector, most conventional and organic farmers purchase compound feed (<xref ref-type="bibr" rid="B1">Agrimatie, 2023</xref>). Therefore, these requirements only result in higher feed costs. To estimate the marginal costs of AW improvements, the production costs of the organic broiler and pig production systems were corrected by using the price of non-organic feed and the feed conversion rate of these livestock species (see Appendix). In the German dairy farming sector, most farmers cultivate most feed themselves (mostly roughage). Therefore, organic requirements on feed production not only affect the costs of purchased feed but also labor costs for cultivating own feed. <xref ref-type="bibr" rid="B22">Ippenberger and Hoffman (2022)</xref> calculated the additional costs for complying with requirements of level 4 of the Haltungsform for German dairy cattle farming, which were 0.06 to 0.09 euro/kg milk. The average of this range (0.075 euro/kg milk) was used as a proxy for the cost of AW measures in the organic dairy cattle system in Germany, resulting in estimated production costs of 0.545 euro/kg milk. Because we used the production costs, both costs and benefits of AW measures are included in these costs.</p>
<p>Only average welfare principle scores and average production costs were found (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). For dairy cattle, the welfare principle scores were retrieved from <xref ref-type="bibr" rid="B34">Wagner et&#xa0;al. (2021)</xref> and the production costs from <xref ref-type="bibr" rid="B6">B&#xfc;ro f&#xfc;r Agrarsoziologie und Landwirtschaft (2019)</xref>. For pigs, welfare principle scores were calculated based on AW data retrieved from <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref>. Because <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref> did not consider the welfare principle &#x2018;good feeding&#x2019;, expert elicitation was used to estimate the score of this welfare principle. According to Dutch legislation, farm animals need to have permanent access to feed and water (<xref ref-type="bibr" rid="B10">Dutch Ministry of Agriculture Nature and Food Quality, 2022</xref>). Furthermore, an expert in pig welfare in the Netherlands estimated that prolonged hunger or thirst does not occur in Dutch pig husbandry, unless there is a technical malfunction in the feeding or drinking system (personal communication H.M. Vermeer, 13 June 2022). Therefore, it was assumed that the welfare category &#x2018;enhanced&#x2019; was achieved and a score of 55 was assigned to this principle. Production costs data were retrieved from <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref>.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Overview of welfare principle scores and production costs of the German conventional and organic dairy cattle farming system, the Dutch conventional, 1-star Better Life, and organic pig production system, and the Dutch conventional, 1-star Better Life, 2-star Better Life, and organic broiler production system.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Animal species Production system</th>
<th valign="top" colspan="4" align="left">Welfare principle score</th>
<th valign="top" rowspan="2" colspan="2" align="left">Production costs</th>
</tr>
<tr>
<th valign="top" align="left">Good feeding</th>
<th valign="top" align="left">Good housing</th>
<th valign="top" align="left">Good health</th>
<th valign="top" align="left">Appropriate behaviour</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="7" align="left">Dairy cattle</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Conventional</bold>
</td>
<td valign="top" align="left">42.0<sup>1</sup>
</td>
<td valign="top" align="left">64.7<sup>1</sup>
</td>
<td valign="top" align="left">44.8<sup>1</sup>
</td>
<td valign="top" align="left">50.4<sup>1</sup>
</td>
<td valign="top" align="left">0.47<sup>2</sup>
</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Organic</bold>
</td>
<td valign="top" align="left">59.5<sup>1</sup>
</td>
<td valign="top" align="left">69.9<sup>1</sup>
</td>
<td valign="top" align="left">56.2<sup>1</sup>
</td>
<td valign="top" align="left">68.8<sup>1</sup>
</td>
<td valign="top" align="left">0.545<sup>3</sup>
</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<th valign="top" colspan="7" align="left">Pigs</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Conventional</bold>
</td>
<td valign="top" align="left">55.0<sup>4</sup>
</td>
<td valign="top" align="left">60.1<sup>5</sup>
</td>
<td valign="top" align="left">74.9<sup>5</sup>
</td>
<td valign="top" align="left">31.4<sup>5</sup>
</td>
<td valign="top" align="left">1.15<sup>6</sup>
</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;1-star Better Life</bold>
</td>
<td valign="top" align="left">55.0<sup>4</sup>
</td>
<td valign="top" align="left">70.6<sup>5</sup>
</td>
<td valign="top" align="left">75.4<sup>5</sup>
</td>
<td valign="top" align="left">31.7<sup>5</sup>
</td>
<td valign="top" align="left">1.19<sup>6</sup>
</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Organic</bold>
</td>
<td valign="top" align="left">55.0<sup>4</sup>
</td>
<td valign="top" align="left">84.9<sup>5</sup>
</td>
<td valign="top" align="left">69.1<sup>5</sup>
</td>
<td valign="top" align="left">40.6<sup>5</sup>
</td>
<td valign="top" align="left">1.51<sup>6</sup>
</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<th valign="top" colspan="7" align="left">Broilers</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Conventional</bold>
</td>
<td valign="top" align="left">55.0<sup>8</sup>
</td>
<td valign="top" align="left">31.4<sup>9</sup>
</td>
<td valign="top" align="left">41.1<sup>9</sup>
</td>
<td valign="top" align="left">15.9<sup>9</sup>
</td>
<td valign="top" align="left">0.84<sup>10</sup>
</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;1-star Better Life</bold>
</td>
<td valign="top" align="left">55.0<sup>8</sup>
</td>
<td valign="top" align="left">56.1<sup>9</sup>
</td>
<td valign="top" align="left">58.9<sup>9</sup>
</td>
<td valign="top" align="left">16.3<sup>9</sup>
</td>
<td valign="top" align="left">1.19<sup>10</sup>
</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;2-star Better Life</bold>
</td>
<td valign="top" align="left">55.0<sup>8</sup>
</td>
<td valign="top" align="left">27.9<sup>9</sup>
</td>
<td valign="top" align="left">66.5<sup>9</sup>
</td>
<td valign="top" align="left">37.6<sup>9</sup>
</td>
<td valign="top" align="left">1.24<sup>10</sup>
</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Organic</bold>
</td>
<td valign="top" align="left">55.0<sup>8</sup>
</td>
<td valign="top" align="left">54.4<sup>9</sup>
</td>
<td valign="top" align="left">38.6<sup>9</sup>
</td>
<td valign="top" align="left">51. 3<sup>9</sup>
</td>
<td valign="top" align="left">1.69<sup>11</sup>
</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>1</sup> <xref ref-type="bibr" rid="B34">Wagner et&#xa0;al. (2021)</xref>.</p>
</fn>
<fn>
<p>
<sup>2</sup> <xref ref-type="bibr" rid="B6">B&#xfc;ro f&#xfc;r Agrarsoziologie und Landwirtschaft (2019)</xref>.</p>
</fn>
<fn>
<p>
<sup>3</sup> Own calculations based on <xref ref-type="bibr" rid="B6">B&#xfc;ro f&#xfc;r Agrarsoziologie und Landwirtschaft (2019)</xref> and <xref ref-type="bibr" rid="B22">Ippenberger and Hoffman (2022)</xref>.</p>
</fn>
<fn>
<p>
<sup>4</sup> <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref> did not consider the principle good feeding. A score was assigned to this principle based on the expert knowledge of H.M. Vermeer (see step 1).</p>
</fn>
<fn>
<p>
<sup>5</sup> Own calculations based on data of <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref>. The production costs of the organic pig production system were already corrected for the feed price of conventional feed in the study of <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref>.</p>
</fn>
<fn>
<p>
<sup>6</sup> <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref>.</p>
</fn>
<fn>
<p>
<sup>7</sup> Own calculations, based on <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref> (see appendix).</p>
</fn>
<fn>
<p>
<sup>8</sup> <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref> did not consider this principle. A score of 55 was assigned to this principle based on the information provided by I.C. De Jong (expert in poultry welfare).</p>
</fn>
<fn>
<p>
<sup>9</sup> Own calculations based on data of <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref>.</p>
</fn>
<fn>
<p>
<sup>10</sup> <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref>.</p>
</fn>
<fn>
<p>
<sup>11</sup> Own calculations, based on <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref> (see appendix).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>For broilers, welfare principle scores were calculated based on AW data retrieved from <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref>
<xref ref-type="fn" rid="fn1">
<sup>1</sup>
</xref>. <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref> did not consider the welfare principle &#x2018;good feeding&#x2019;. Broilers usually have permanent access to feed and water in the Netherlands (personal communication I.C. De Jong, 16 June 2022). Therefore, it is expected that prolonged hunger and thirst do not occur in Dutch broiler farming. It was assumed that the welfare category &#x2018;enhanced&#x2019; was achieved and a score of 55 was assigned to this principle. Production costs data were retrieved from <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref>.</p>
</sec>
<sec id="s4_1_2">
<label>4.1.2</label>
<title>Step 2: Set compensation thresholds&#x2019; values</title>
<p>We applied the suggested minimum score threshold value of <inline-formula>
<mml:math display="inline" id="im65">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
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</mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula> = 20 points and a maximum compensation threshold of <inline-formula>
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</mml:mrow>
</mml:math>
</inline-formula> = 35 points in our case studies.</p>
</sec>
<sec id="s4_1_3">
<label>4.1.3</label>
<title>Step 3: Calculate corrected scores for each welfare principle</title>
<sec id="s4_1_3_1">
<label>4.1.3.1</label>
<title>Dairy cattle</title>
<p>
<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> shows that for both systems all welfare principle scores were higher than 20 and the difference between the lowest and highest welfare principle score was less than 35. Therefore, the corrected welfare principle scores have the same value as the welfare principle scores.</p>
</sec>
<sec id="s4_1_3_2">
<label>4.1.3.2</label>
<title>Pigs</title>
<p>For each of the three systems, the lowest welfare principle score was higher than 20 but the difference between the lowest and highest welfare principle score was more than 35 points (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Therefore, the highest welfare principle scores need to be corrected. For instance, the welfare principle score for good health in the conventional pig production system was corrected to <inline-formula>
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</mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula> = 31.4 + 35 = 66.4 and in the 1-star Better Life system to <inline-formula>
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</inline-formula>= 31.7 + 35 = 66.7. <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> provides an overview of the corrected welfare principle scores.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Overview of corrected welfare principle scores of the Dutch conventional, 1-star Better Life, and organic pig production system and the Dutch conventional, 1-star Better Life, 2-star Better Life, and organic broiler production system.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Animal species Production system</th>
<th valign="top" colspan="4" align="center">Corrected welfare principle scores</th>
</tr>
<tr>
<th valign="top" align="center">Good feeding</th>
<th valign="top" align="center">Good housing</th>
<th valign="top" align="center">Good health</th>
<th valign="top" align="center">Appropriate behaviour</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="5" align="left">Pigs</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Conventional</bold>
</td>
<td valign="top" align="center">55.0</td>
<td valign="top" align="center">60.1</td>
<td valign="top" align="center">66.4</td>
<td valign="top" align="center">31.4</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;1-star Better Life</bold>
</td>
<td valign="top" align="center">55.0</td>
<td valign="top" align="center">66.7</td>
<td valign="top" align="center">66.7</td>
<td valign="top" align="center">31.7</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Organic</bold>
</td>
<td valign="top" align="center">55.0</td>
<td valign="top" align="center">75.6</td>
<td valign="top" align="center">69.1</td>
<td valign="top" align="center">40.6</td>
</tr>
<tr>
<th valign="top" colspan="5" align="left">Broilers</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Conventional</bold>
</td>
<td valign="top" align="center">50.9</td>
<td valign="top" align="center">31.4</td>
<td valign="top" align="center">41.1</td>
<td valign="top" align="center">15.9</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;1-star Better Life</bold>
</td>
<td valign="top" align="center">51.3</td>
<td valign="top" align="center">51.3</td>
<td valign="top" align="center">51.3</td>
<td valign="top" align="center">16.3</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;2-star Better Life</bold>
</td>
<td valign="top" align="center">55.0</td>
<td valign="top" align="center">27.9</td>
<td valign="top" align="center">62.9</td>
<td valign="top" align="center">37.6</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>&#x2003;Organic</bold>
</td>
<td valign="top" align="center">55.0</td>
<td valign="top" align="center">54.4</td>
<td valign="top" align="center">38.6</td>
<td valign="top" align="center">51.3</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4_1_3_3">
<label>4.1.3.3</label>
<title>Broilers</title>
<p>
<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> shows that in the conventional and 1-star Better Life system, only one of the welfare principle scores was lower than 20, i.e. that for appropriate behavior (15.9). Therefore, no correction is needed based on the minimum compensation threshold. However, the difference between the lowest and highest welfare principle score was more than 35 for some welfare principles (e.g., between good housing and appropriate behaviour in 1-star Better Life system). Therefore, the highest welfare principle scores were corrected, for example the welfare principle score for good housing in the 1-star Better Life broilers production system <inline-formula>
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</inline-formula> = 16.3 + 35 = 51.3. <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> provides the corrected welfare principle scores of all systems.</p>
</sec>
</sec>
<sec id="s4_1_4">
<label>4.1.4</label>
<title>Step 4: Calculate AW score on farm level</title>
<p>For all case studies, the corrected welfare principle scores were summed to obtain the welfare scores of the systems (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). For example, the welfare score of the German dairy conventional system <italic>S<sub>c</sub>
</italic> was calculated as <inline-formula>
<mml:math display="inline" id="im70">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> = 42.0 + 64.7 + 44.8 + 50.4 = 201.9.</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Overview of animal welfare scores of the German conventional and organic dairy cattle farming system, the Dutch conventional, 1-star Better Life, and organic pig production system, and the Dutch conventional, 1-star Better Life, 2-star Better Life, and organic broiler production system.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Animal species</th>
<th valign="top" colspan="4" align="center">Production system</th>
</tr>
<tr>
<th valign="top" align="center">Conventional</th>
<th valign="top" align="center">1-star Better Life</th>
<th valign="top" align="center">2-star Better Life</th>
<th valign="top" align="center">Organic</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">201.9</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">254.4</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">212.9</td>
<td valign="top" align="center">220.1</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">240.4</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">139.4</td>
<td valign="top" align="center">170.3</td>
<td valign="top" align="center">183.4</td>
<td valign="top" align="center">199.3</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>1</sup>Not available because for these animal species these production systems were not included in our case studies.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4_1_5">
<label>4.1.5</label>
<title>Step 5: Set excellence AW threshold value</title>
<p>We follow the suggestion in the method section and set the excellence AW threshold <inline-formula>
<mml:math display="inline" id="im71">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> at 270 points.</p>
</sec>
<sec id="s4_1_6">
<label>4.1.6</label>
<title>Step 6: Generate cost function</title>
<sec id="s4_1_6_1">
<label>4.1.6.1</label>
<title>Dairy cattle</title>
<p>The cost function for the German dairy cattle production systems is shown in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>. This function was estimated with the trendline option in Microsoft Excel (<xref ref-type="bibr" rid="B25">Microsoft Corporation, 2018</xref>). The cost function is linear as only two systems, the conventional and organic system, are considered in this example.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Cost function for the German dairy cattle production systems.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1195221-g002.tif"/>
</fig>
</sec>
<sec id="s4_1_6_2">
<label>4.1.6.2</label>
<title>Pigs</title>
<p>The cost function for the Dutch pig production systems was estimated with the trendline option in Microsoft Excel (<xref ref-type="bibr" rid="B25">Microsoft Corporation, 2018</xref>). This function was defined as a polynomial function (order 2), as this function had the highest R<sup>2</sup> (see <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Cost function for the Dutch pig production systems.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1195221-g003.tif"/>
</fig>
</sec>
<sec id="s4_1_6_3">
<label>4.1.6.3</label>
<title>Broilers</title>
<p>
<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref> shows the cost function for the Dutch broiler production systems, which was estimated with the trendline option in Microsoft Excel (<xref ref-type="bibr" rid="B25">Microsoft Corporation, 2018</xref>). The cost function was defined as a polynomial function (order 2) as this function had the highest R<sup>2</sup>.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Cost function for the Dutch broiler production systems.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1195221-g004.tif"/>
</fig>
</sec>
</sec>
<sec id="s4_1_7">
<label>4.1.7</label>
<title>Step 7: Calculate external costs of AW</title>
<p>
<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref> provides the estimated external AW costs of the production systems under consideration. For example, the estimated external costs of AW for the conventional dairy cattle farming system are (0.0014*270 + 0.1816)-0.47 = 0.10 euro/kg milk and for the Dutch conventional pig production system (0.0004*270<sup>2</sup>-0.1552*270 + 17.3614)-1.15 = 1.36 euro/kg live weight. The external AW costs of the broiler production systems were about three times higher than those of the pig production systems. This was caused by the relatively large difference between the excellence threshold of 270 and the AW score of the organic production system for broilers (199.3) compared to the other two species (pigs 240.4, dairy cattle 254.4) in combination with broilers having the most convexly shaped cost function.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Estimated external AW costs of the German conventional and organic dairy cattle farming system, the Dutch conventional, 1-star Better Life, and organic pig production system, and the Dutch conventional, 1-star Better Life, 2-star Better Life, and organic broiler production system.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Animal species</th>
<th valign="top" colspan="4" align="center">External costs</th>
<th valign="top" rowspan="2" align="center">Unit</th>
</tr>
<tr>
<th valign="top" align="center">Conventional</th>
<th valign="top" align="center">1-star Better Life</th>
<th valign="top" align="center">2-star Better Life</th>
<th valign="top" align="center">Organic</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">0.10</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">1.36</td>
<td valign="top" align="center">1.32</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">4.52</td>
<td valign="top" align="center">4.33</td>
<td valign="top" align="center">4.12</td>
<td valign="top" align="center">3.67</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>1</sup>Not available because for these animal species these production systems were not included in our case studies.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Sensitivity analysis</title>
<sec id="s4_2_1">
<label>4.2.1</label>
<title>Excellence AW threshold</title>
<p>A higher/lower excellence AW threshold <inline-formula>
<mml:math display="inline" id="im72">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> increased/decreased the external costs, the amount by which differed between animal species depending on the shape of the cost function (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). For all production systems within an animal species, a higher excellence AW threshold increased the external AW costs with the same absolute amount. At an excellence AW threshold of 300, the external AW costs of the dairy cattle production systems were 0.04 euro per kg milk higher than at an excellence AW threshold of 270. For pigs and broilers, this was 1.69 and 2.43 euro per kg live weight, respectively. At an excellence AW threshold of 240, the external costs of the organic dairy cattle system and organic pig production system were 0 as the AW score of these systems exceeded the excellence AW threshold. For all other systems, changing the excellence AW threshold did not affect the difference between external costs of a production system within an animal species. For instance, the difference in external costs between the conventional and organic broiler production system remained 0.85 eurocents/kg live weight, regardless of the excellence AW threshold.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Estimated external AW costs at an excellence AW threshold <inline-formula>
<mml:math display="inline" id="im73">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of 240 and 300; change compared to baseline in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Animal species</th>
<th valign="top" colspan="4" align="center">External costs</th>
<th valign="top" rowspan="2" align="center">Unit</th>
</tr>
<tr>
<th valign="top" align="center">Conventional</th>
<th valign="top" align="center">1-star Better Life</th>
<th valign="top" align="center">2-star Better Life</th>
<th valign="top" align="center">Organic</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="6" align="left">
<inline-formula>
<mml:math display="inline" id="im74">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <italic>= 240</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">-0.04</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">-0.02</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">-1.02</td>
<td valign="top" align="center">-1.02</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">-1.00</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">-1.91</td>
<td valign="top" align="center">-1.91</td>
<td valign="top" align="center">-1.91</td>
<td valign="top" align="center">-1.91</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">
<inline-formula>
<mml:math display="inline" id="im75">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <italic>= 300</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">+0.04</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">+0.04</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">+1.69</td>
<td valign="top" align="center">+1.69</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">+1.69</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">+2.43</td>
<td valign="top" align="center">+2.43</td>
<td valign="top" align="center">+2.43</td>
<td valign="top" align="center">+2.43</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>1</sup>Not available because for these animal species these production systems were not included in our case studies.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4_2_2">
<label>4.2.2</label>
<title>Compensation thresholds</title>
<p>
<xref ref-type="table" rid="T7">
<bold>Table&#xa0;7</bold>
</xref> shows the estimated external AW costs if the minimum score threshold value <inline-formula>
<mml:math display="inline" id="im79">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was increased to 25 and 35. Decreasing the minimum score thresholds&#x2019; value (e.g. to 15) did not affect the external costs of the production systems for all three species, because all principle scores were higher than this value. Increasing the minimum score thresholds&#x2019; value to 25 or 35 did not affect the external costs of the dairy cattle production system, as all principle scores were higher than 35. The external costs of the pig production systems were also not affected by these changes as only one principle score was lower than 35 in the conventional and 1-star Better Life system and all principle scores of the organic pig production system were higher than 35. Increasing the minimum thresholds&#x2019; value to 25 resulted in a decrease of the external costs of the broiler production systems by 0.69 euro/kg live weight compared in the baseline. The external costs of the broiler production system decreased by 0.94 euro/kg live weight when increasing the minimum threshold&#x2019;s value to 35. These findings can be explained by the fact that a higher minimum score threshold value resulted in a lower AW score of the conventional system, while the AW scores of 2-star Better Life system and the organic system were unaffected. This resulted in a less convexly shaped cost function.</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Estimated external AW costs at a minimum score threshold <inline-formula>
<mml:math display="inline" id="im76">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of 25 and 35; change compared to baseline in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Animal species</th>
<th valign="top" colspan="4" align="center">External costs</th>
<th valign="top" rowspan="2" align="center">Unit</th>
</tr>
<tr>
<th valign="top" align="center">Conventional</th>
<th valign="top" align="center">1-star Better Life</th>
<th valign="top" align="center">2-star Better Life</th>
<th valign="top" align="center">Organic</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="6" align="left">
<inline-formula>
<mml:math display="inline" id="im77">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <italic>= 25</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">-0.69</td>
<td valign="top" align="center">-0.69</td>
<td valign="top" align="center">-0.69</td>
<td valign="top" align="center">-0.69</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">
<inline-formula>
<mml:math display="inline" id="im78">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <italic>= 35</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">-0.94</td>
<td valign="top" align="center">-0.94</td>
<td valign="top" align="center">-0.94</td>
<td valign="top" align="center">-0.94</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>1</sup>Not available because for these animal species these production systems were not included in our case studies.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<xref ref-type="table" rid="T8">
<bold>Table&#xa0;8</bold>
</xref> shows the estimated external AW costs if the maximum compensation threshold <inline-formula>
<mml:math display="inline" id="im83">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was decreased to 25 and increased to 45. Changing the maximum compensation threshold value affected the external costs of the pig and broiler production system, but not of the dairy cattle system. For broilers, the difference in external costs with the baseline ranged from -2.19 to +3.40 euro/kg live weight. For pigs, the difference in external costs with the baseline ranged from -0.46 to -0.19. Changing the maximum compensation threshold value only affected the absolute value of the external costs but not the differences between the systems within an animal species. Hence, the relative position of the systems was unaffected.</p>
<table-wrap id="T8" position="float">
<label>Table&#xa0;8</label>
<caption>
<p>Estimated external AW costs at a maximum compensation threshold <inline-formula>
<mml:math display="inline" id="im80">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of 25 and 45; change compared to baseline in <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Animal species</th>
<th valign="top" colspan="4" align="center">External costs</th>
<th valign="top" rowspan="2" align="center">Unit</th>
</tr>
<tr>
<th valign="top" align="center">Conventional</th>
<th valign="top" align="center">1-star Better Life</th>
<th valign="top" align="center">2-star Better Life</th>
<th valign="top" align="center">Organic</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="6" align="left">
<inline-formula>
<mml:math display="inline" id="im81">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <italic>= 25</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">-0.46</td>
<td valign="top" align="center">-0.46</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">-0.46</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">-2.19</td>
<td valign="top" align="center">-2.19</td>
<td valign="top" align="center">-2.19</td>
<td valign="top" align="center">-2.19</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">
<inline-formula>
<mml:math display="inline" id="im82">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <italic>= 45</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">
<bold>Dairy cattle</bold>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">0</td>
<td valign="top" align="left">euro/kg milk</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Pigs</bold>
</td>
<td valign="top" align="center">-0.19</td>
<td valign="top" align="center">-0.19</td>
<td valign="top" align="center">n.a.<sup>1</sup>
</td>
<td valign="top" align="center">-0.19</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
<tr>
<td valign="top" align="left">
<bold>Broilers</bold>
</td>
<td valign="top" align="center">+3.40</td>
<td valign="top" align="center">+3.40</td>
<td valign="top" align="center">+3.40</td>
<td valign="top" align="center">+3.40</td>
<td valign="top" align="left">euro/kg live weight</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<sup>1</sup>Not available because for these animal species these production systems were not included in our case studies.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s5" sec-type="discussion">
<label>5</label>
<title>Discussion</title>
<p>In this study, a method was developed to calculate the external costs of AW for farm animals. In our method, the corrected principle scores were aggregated for the overall assessment of AW at the farm level. Different aggregation methods can be used for this assessment, such as a weighted sum of scores or an aggregation based on expert&#x2019;s opinion. Each method has its own advantages and limitations (<xref ref-type="bibr" rid="B5">Botreau et&#xa0;al., 2007</xref>). In our method, the sum of scores was applied as it allows calculation of an absolute score for any farm. These absolute scores were required in our method to compare farms or production systems. The main shortcoming of the sum of scores method is that it allows full compensation between welfare aspects, which may result in overshadowing serious welfare problems (<xref ref-type="bibr" rid="B5">Botreau et&#xa0;al., 2007</xref>). <xref ref-type="bibr" rid="B27">Perny (1998)</xref> suggested to specify minimal requirements to limit compensation. We followed this suggestion by assuming that no compensation between principle scores is possible if welfare is below a threshold, while limited compensation is possible if welfare is above this threshold (see section 3.2). It is debatable which values should be used for these thresholds. The sensitivity analysis indicated that changing the thresholds&#x2019; value only affected the absolute value of the external costs, but not the difference between the external costs of production systems within an animal species. The sensitivity analysis also showed a low variability in the external costs for dairy cattle and a high variability for broilers. A high variability affects the robustness of the results when comparing the external costs of AW among animal species or when comparing these costs with the costs of other externalities (such as global warming). Studies that apply our method should therefore perform a sensitivity analysis to test the influence of the thresholds&#x2019; value on the robustness of the results, particularly when comparing the external costs among animal species or between externalities.</p>
<p>Our method relies on an estimated cost function which is based on the costs and benefits of implemented AW measures. However, in practice it might be difficult to disentangle costs and benefits of AW measures from the total farm costs. Although various studies analyzed the effect of AW measures on the health and performance of farm animals, most of them did not analyze the economic effects. For instance, <xref ref-type="bibr" rid="B9">Dozier et&#xa0;al. (2005)</xref> found that a broiler stocking density beyond 30 kg/m<sup>2</sup> resulted in a decline in final body weight and an increase in the incidence of food-pad lesions and skin scratches. A limited number of studies provided information about the economic effects of AW measures. For example, <xref ref-type="bibr" rid="B31">Verspecht et&#xa0;al. (2011)</xref> analyzed the economic costs and benefits of lower stocking densities in broiler production. <xref ref-type="bibr" rid="B18">Gocsik et&#xa0;al. (2014)</xref> analyzed the effect of more AW friendly broiler production systems on the prevalence of endemic diseases and the corresponding effect on health care costs, defined as the sum of health care expenditures and foregone benefits due to lower animal health. The authors did not consider the cost and benefits of individual AW measures. Application of the results of such studies to the case study at hand might not be straightforward due to differences in production systems. More insight is needed on how to disentangle the costs and benefits related to implemented AW measures from total farm costs. We also provided a proxy method with the production costs corrected for other differences between farms. The case studies showed that this proxy method was relatively easy to apply. Although our case studies&#x2019; outcomes seem reasonable, it is not clear how accurate they are. Further studies are needed to assess the accuracy of the proxy method.</p>
<p>To calculate the external costs of AW, a reference point was required where AW infringements are minimized, i.e. the excellence AW threshold. In our study, we based this reference point on the welfare category &#x2018;excellence&#x2019; of the WQ Protocol. The empirical application shows that the difference between the system with the highest AW score and the excellence threshold was relatively large for broilers (70.7 welfare points) compared to pigs and dairy (29.6 and 15.6 welfare points, respectively). This finding indicates that the production systems of broilers are far from optimal (compared to cattle and pigs) based on the WQ protocol. This difference resulted in a higher degree of uncertainty associated with the estimate of the external costs of AW for broilers (-2.19 to + 3.40 euro/kg live weight) compared to dairy cattle and pig production.</p>
<p>Our method to estimate external costs of AW is in principle applicable to all animal species. However, the applicability of our method is currently restricted by limitations of the WQ protocol. First, the WQ protocol has as yet been developed only for key production animals. Therefore, our method is currently also restricted to these animals. Future research could develop methods to assess the level of AW for other species, including non-terrestrial animals. Second, not all stages of the supply chain in which live animals are present, such as transport and slaughter, are fully considered in the WQ protocol. It would be interesting to analyze if and how our method can be extended to include AW in other parts of the supply chain. Third, the number of studies that applied the WQ protocol is limited, which can be explained by the fact that the collection of data with the WQ protocol tends to be time consuming and costly. Furthermore, appropriate and recognized training in the practical application of the WQ protocol is essential to ensure uniform scoring. Various studies have developed simplified methods of the WQ protocol, thereby making animal-based welfare assessment more practicable. Future research could apply these methods to alternative systems to obtain AW scores for these systems.</p>
<p>The application of our method provides insight in the external costs of AW at farm level. In the Farm to Fork strategy it is stated that, in order to achieve a sustainable EU food system, consumers need access to food that holds high standards on AW. Therefore, the EC intends to align AW legislation with general sustainability goals, for instance on climate and biodiversity (<xref ref-type="bibr" rid="B14">European Parliament, 2021</xref>). Furthermore, the EC considers options for AW labelling to contribute to a sustainable food consumption (<xref ref-type="bibr" rid="B16">Gavinelli</xref>). The insights obtained from the application of our method can provide valuable insights to support policy making about such labels. First, it provides insight in the costs associated with AW improvements and the corresponding AW benefits. These results can be compared to consumers&#x2019; willingness-to-pay more for more AW friendly products to assess the economic feasibility of more extensive livestock production systems. Second, our method can be used to calculate the price premium that farmers require to maintain their income when adopting more AW friendly production practices. Third, our method can be integrated in true cost accounting methods to calculate the external costs of food products. True cost accounting is seen as a potential way to enhance the sustainability of food systems (<xref ref-type="bibr" rid="B20">Hendriks et&#xa0;al., 2021</xref>).</p>
<p>In this study, we developed a method to estimate the external costs of AW at farm level. The method uses AW score data from the WQ protocol and production costs data. It provides rules to calculate farm level AW scores using compensation thresholds allowing for some compensation between welfare principles and an excellence AW threshold that reflects the level of AW at which the animals only suffer minimal welfare infringements. With a cost function, the external AW costs at farm level can be calculated. Application to production systems of dairy cattle in Germany, pigs and broilers in the Netherlands showed that the method was effective in estimating external AW costs. Future research should focus on developing methods that can be applied to assess the level of AW of other production animals, including non-terrestrial animals.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>All authors contributed to conception and design of the study. LV collected the data. LV performed the statistical analysis. LV and CW wrote the first draft of the manuscript. LV and CW wrote draft sections of the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This project is financially supported by the Dutch top sector Agriculture &amp; Food (grant number AF18051) and the top sector Horticulture &amp; Propagation Materials (grant number TU18104). Within the top sector Agriculture &amp; Food, private industry, knowledge institutes, and the government are working together on innovations for safe and healthy food for 9 billion people in a resilient world. Within the top sector Horticulture &amp; Propagation Materials, the business community, knowledge institutions, and the government work together on the sustainable production of healthy and safe food, and the development of a healthy, green living environment.</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<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>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn id="fn1">
<label>1</label>
<p>In the study of <xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al. (2016)</xref>, the terms &#x2018;Volwaard&#x2019; and &#x2018;Extensive Outdoor&#x2019; are used for two middle-segment systems. These systems have been integrated in the Better Life labelling scheme, in which &#x2018;Volwaard&#x2019; received 1 star and &#x2018;Extensive Outdoor&#x2019; 2 stars of the Better Life label. These names have therefore been applied in this study.</p>
</fn>
</fn-group>
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<app-group>
<app id="app1">
<title>Appendix</title>
<p>
<italic>Corrected production costs of organic pig and broiler production systems</italic>
</p>
<p>
<italic>Pigs</italic>
</p>
<p>The production costs of the organic pig production system were already corrected for the feed price of conventional feed in the study of <xref ref-type="bibr" rid="B21">Hoogstra (2018)</xref>.</p>
<p>
<italic>Broilers</italic>
</p>
<p>The production costs of the organic broiler production were 2.01 euro/kg live weight (<xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al., 2016</xref>). These costs were corrected using the feed price of the 1-star Better Life system. The feed price of the 1-star Better Life and organic system were 29.5 euro/100 kg and 41.9 euro/100 kg, respectively (<xref ref-type="bibr" rid="B17">Gocsik et&#xa0;al., 2016</xref>). The feed conversion ratio of the 1-star Better Life and organic system were 2.01 and 2.60. The corrected production of the organic broiler production system were calculated as follows:</p>
<disp-formula>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:mn>2.01</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>41.9</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>29.5</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>2.60</mml:mn>
<mml:mo>=</mml:mo>
<mml:mn>1.69</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>euro/kg&#xa0;live&#xa0;weight</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
</app>
</app-group>
</back>
</article>