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<front>
<journal-meta>
<journal-id journal-id-type="doi">10.1111/(ISSN)1600-0706</journal-id>
<journal-id journal-id-type="publisher-id">OIK</journal-id>
<journal-id journal-id-type="publisher-division">ST</journal-id>
<journal-title-group>
<journal-title xml:lang="en">Oikos</journal-title>
<abbrev-journal-title abbrev-type="publisher" xml:lang="en">Oikos</abbrev-journal-title>
</journal-title-group>
<issn publication-format="ppub">0030-1299</issn>
<issn publication-format="epub">1600-0706</issn>
<publisher>
<publisher-name>Blackwell Publishing Ltd</publisher-name>
<publisher-loc>Oxford, UK</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.1111/oik.10616</article-id>
<article-id pub-id-type="publisher-id">OIK13748</article-id>
<article-categories>
<subj-group subj-group-type="overline" xml:lang="en">
<subject>Research article</subject>
</subj-group>
<subj-group subj-group-type="heading" xml:lang="en">
<subject>Research article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title xml:lang="en">The basic‐reproduction number of infectious diseases in spatially structured host populations</article-title>
</title-group>
<contrib-group>
<contrib id="cr1" contrib-type="author">
<name>
<surname>van den Bosch</surname>
<given-names>Frank</given-names>
</name>
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9225-7828</contrib-id>
<xref ref-type="aff" rid="aff-1">
<sup>1</sup>
</xref>
</contrib>
<contrib id="cr2" contrib-type="author">
<name>
<surname>Helps</surname>
<given-names>Joe</given-names>
</name>
<xref ref-type="aff" rid="aff-2">
<sup>2</sup>
</xref>
</contrib>
<contrib id="cr3" contrib-type="author" corresp="yes">
<name>
<surname>Cunniffe</surname>
<given-names>Nik J.</given-names>
</name>
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3533-8672</contrib-id>
<email>njc1001@cam.ac.uk</email>
<xref ref-type="aff" rid="aff-3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff-1">
<label>
<sup>1</sup>
</label>
<institution>Department of Plant Pathology, Quantitative Biology and Epidemiology Group, University of California</institution>
 <city>Davis</city>
 <named-content content-type="country-part">CA</named-content>
 <country country="US">USA</country>
</aff>
<aff id="aff-2">
<label>
<sup>2</sup>
</label>
<institution>Net Zero and Resilient Farming, Rothamsted Research</institution>
 <city>Harpenden</city>
 <named-content content-type="country-part">Hertfordshire</named-content>
 <country country="GB">UK</country>
</aff>
<aff id="aff-3">
<label>
<sup>3</sup>
</label>
<institution>Department of Plant Sciences, University of Cambridge</institution>
 <city>Cambridge</city>
 <country country="GB">UK</country>
</aff>
<pub-date date-type="pub" publication-format="electronic"><day>18</day>
<month>06</month>
<year>2024</year>
</pub-date><elocation-id>e10616</elocation-id>
<history>

<date date-type="accepted">
<day>14</day>
<month>05</month>
<year>2024</year>
</date>

</history>
<permissions>
<copyright-statement content-type="issue-copyright">Oikos © 2024 Nordic Society Oikos</copyright-statement>
<copyright-statement content-type="article-copyright">© 2024 The Authors. Oikos published by John Wiley &amp; Sons Ltd on behalf of Nordic Society Oikos.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>© 2024 The Authors. Oikos published by John Wiley &amp; Sons Ltd on behalf of Nordic Society Oikos.</copyright-holder>
<license>
<ali:license_ref>http://creativecommons.org/licenses/by/3.0/</ali:license_ref>
<license-p>This is an open access article under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">Creative Commons Attribution</ext-link> License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<abstract xml:lang="en" abstract-type="main">
<p xml:lang="en">The spatial structure of a host population has a profound effect on the dynamics of infectious diseases. The basic reproduction number, a central quantity in the study of epidemic dynamics, is affected by host clustering as well as host density. Several authors have developed methods to quantify the basic reproduction number in a spatially structured host population. The methods used and the expressions derived are however difficult to apply to real life spatial host structures. In this paper we introduce an explicit expression for the basic reproduction number using the <italic>O</italic>‐ring statistic, developed in spatial statistics, that quantifies the host density as a function of the distance from a randomly selected host individual. The <italic>O</italic>‐ring statistic is frequently used in the study of the ecology of spatially structured plant populations, being a convenient summary of the properties of a landscape by way of a single function. The connection we develop between spatial statistics and epidemic dynamics can be used to study the effect of host spatial pattern on the basic reproduction number of infectious diseases. As well as showing how explicit expressions for the basic reproduction number can be derived for landscapes with standard structures, our expression for the basic reproduction number is tested against a simulation model. The model structure in our simulation is motivated by the spread of a plant disease epidemic, although it is applicable more broadly. The agreement between our analytic expression for the basic reproduction number and the corresponding numeric quantity extracted from simulations is close to perfect across a wide range of landscape structures and model parameterisations, and including cases in which more than one species of host is at risk of infection.</p>
</abstract>
<kwd-group kwd-group-type="author-generated" xml:lang="en">
<kwd id="kwd-0001">host clustering</kwd>
<kwd id="kwd-0002">moment closure techniques</kwd>
<kwd id="kwd-0003">Neyman–Scott process</kwd>
<kwd id="kwd-0004"><italic>O</italic>-ring statistic</kwd>
<kwd id="kwd-0005">pathogen dispersal function</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="1"/>
<page-count count="13"/>
<word-count count="8294"/>
</counts>
</article-meta>
</front>
</article>