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(PDF) J. Math. Biol. (2010) 60:161–188 DOI 10.1007/s00285-009-0261-z Mathematical Biology Evolution of age-dependent sex-reversal under adaptive | Jordi Ripoll - Academia.edu
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The trait is the probability law of the age at sex-reversal considered as a random var-iable. Our analysis starts with the ecological model which was first introduced and analyzed by Calsina and Ripoll (Math Biosci 208(2), 393–418, 2007). The structure of the population is extended to a genotype class and a new model for an invad-ing/mutant population is introduced. The invasion fitness functional is derived from the ecological setting, and it turns out to be controlled by a formula of Shaw–Mohler type. The problem of finding evolutionarily stable strategies is solved by means of infi-nite-dimensional linear optimization. We have found that these strategies correspond to sex-reversal at a single particular age (or size) even if the set of feasible strategies is considerably broader and allows for a probabilistic sex-reversal. ...","author":[{"@context":"https://schema.org","@type":"Person","name":"Jordi Ripoll"}],"contributor":[],"dateCreated":"2022-02-06","dateModified":"2022-02-07","datePublished":"2016-01-01","headline":"J. Math. Biol. 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The trait is the probability law of the age at sex-reversal considered as a random var-iable. Our analysis starts with the ecological model which was first introduced and analyzed by Calsina and Ripoll (Math Biosci 208(2), 393–418, 2007). The structure of the population is extended to a genotype class and a new model for an invad-ing/mutant population is introduced. The invasion fitness functional is derived from the ecological setting, and it turns out to be controlled by a formula of Shaw–Mohler type. The problem of finding evolutionarily stable strategies is solved by means of infi-nite-dimensional linear optimization. We have found that these strategies correspond to sex-reversal at a single particular age (or size) even if the set of feasible strategies is considerably broader and allows for a probabilistic sex-reversal. ...","publication_date":"2016,,"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"J. Math. Biol. 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(2010) 60:161–188 DOI 10.1007/s00285-009-0261-z Mathematical Biology Evolution of age-dependent sex-reversal under adaptive</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="32551893" href="https://girona.academia.edu/JordiRipoll"><img alt="Profile image of Jordi Ripoll" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/32551893/18065678/18064810/s65_jordi.ripoll.jpg" />Jordi Ripoll</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2016</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">28 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 70730190; const worksViewsPath = "/v0/works/views?subdomain_param=api&work_ids%5B%5D=70730190"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new Error('Failed to load work views'); } const data = await response.json(); return data.views[workId]; }; // Get the view count for the work - we send this immediately rather than waiting for // the DOM to load, so it can be available as soon as possible (but without holding up // the backend or other resource requests, because it's a bit expensive and not critical). const viewCount = await getWorkViews(workId); const updateViewCount = (viewCount) => { const viewCountNumber = Number(viewCount); if (!viewCountNumber) { throw new Error('Failed to parse view count'); } const commaizedViewCount = viewCountNumber.toLocaleString(); const viewCountBody = document.getElementById('work-metadata-view-count'); if (viewCountBody) { viewCountBody.textContent = `${commaizedViewCount} views`; } else { throw new Error('Failed to find work views element'); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">We investigate the evolution of the age (or size) at sex-reversal in a model of sequential hermaphroditism, by means of the function-valued adaptive dynamics. The trait is the probability law of the age at sex-reversal considered as a random var-iable. Our analysis starts with the ecological model which was first introduced and analyzed by Calsina and Ripoll (Math Biosci 208(2), 393–418, 2007). The structure of the population is extended to a genotype class and a new model for an invad-ing/mutant population is introduced. The invasion fitness functional is derived from the ecological setting, and it turns out to be controlled by a formula of Shaw–Mohler type. The problem of finding evolutionarily stable strategies is solved by means of infi-nite-dimensional linear optimization. We have found that these strategies correspond to sex-reversal at a single particular age (or size) even if the set of feasible strategies is considerably broader and allows for a probabilistic sex-reversal. ...</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":80356932,"attachmentType":"pdf","workUrl":"https://www.academia.edu/70730190/J_Math_Biol_2010_60_161_188_DOI_10_1007_s00285_009_0261_z_Mathematical_Biology_Evolution_of_age_dependent_sex_reversal_under_adaptive"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" 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