{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,23]],"date-time":"2026-09-23T13:08:46Z","timestamp":1790168926805,"version":"4.1.0"},"reference-count":48,"publisher":"AIP Publishing","issue":"9","license":[{"start":{"date-parts":[[2026,9,23]],"date-time":"2026-09-23T00:00:00Z","timestamp":1790121600000},"content-version":"vor","delay-in-days":22,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Secretar\u00eda de Ciencia, Humanidades, Tecnolog\u00eda e Innovaci\u00f3n","award":["CF-2019\/2042"],"award-info":[{"award-number":["CF-2019\/2042"]}],"id":[{"id":"https:\/\/ror.org\/059ex5q34","id-type":"ROR","asserted-by":"crossref"}]},{"name":"Secretar\u00eda de Ciencia, Humanidades, Tecnolog\u00eda e Innovaci\u00f3n","award":["1140160"],"award-info":[{"award-number":["1140160"]}],"id":[{"id":"https:\/\/ror.org\/059ex5q34","id-type":"ROR","asserted-by":"crossref"}]},{"name":"Secretar\u00eda de Ciencia, Humanidades, Tecnolog\u00eda e Innovaci\u00f3n","award":["645654"],"award-info":[{"award-number":["645654"]}],"id":[{"id":"https:\/\/ror.org\/059ex5q34","id-type":"ROR","asserted-by":"crossref"}]},{"name":"VIEP-BUAP","award":["2024\/Exp123"],"award-info":[{"award-number":["2024\/Exp123"]}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2026,9,1]]},"abstract":"<jats:p>We investigate the connectivity properties of square lattices with nearest neighbor interactions, where some sites have a reduced coordination number, meaning that certain sites can only connect through three or two adjacent sites. This model is similar to the random placement of physical barriers in plantations aimed at decreasing connectivity between susceptible individuals, which could help prevent the spread of phytopathogens and pests. In this way, we estimate the percolation threshold as a function of pd (the fraction of sites with reduced coordination number), finding that a q-exponential function can well describe the critical curves. Additionally, we derive a closed formula for the correlation between pd and the density of distinct barriers placed (accounting for shared barriers between adjacent sites). The latter is helpful in estimating the relative costs of the barrier allocation strategies. In particular, we found that the allocations of two barriers per site model {, } can produce savings between 5% and 10% of the strategy cost compared to the independently random barrier allocations (joint site\u2013bond percolation). From an agroecology perspective, adding barriers to the plantation gives farmers the opportunity to sow more vulnerable plant varieties.<\/jats:p>","DOI":"10.1063\/5.0349486","type":"journal-article","created":{"date-parts":[[2026,9,23]],"date-time":"2026-09-23T12:54:56Z","timestamp":1790168096000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Assessing the effectiveness of barrier allocation strategies against the propagation of phytopathogens and pests with percolation"],"prefix":"10.1063","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-3991-3317","authenticated-orcid":false,"given":"E. G.","family":"Garc\u00eda Prieto","sequence":"first","affiliation":[{"name":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 1 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-6275-3968","authenticated-orcid":false,"given":"G.","family":"Garc\u00eda Morales","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 1 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-3242-5701","authenticated-orcid":false,"given":"J. D.","family":"Silva Montiel","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 1 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9050-4282","authenticated-orcid":false,"given":"D.","family":"Rosales Herrera","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 1 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5038-1337","authenticated-orcid":false,"given":"J. R.","family":"Alvarado Garc\u00eda","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 1 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0152-4220","authenticated-orcid":false,"given":"A.","family":"Fern\u00e1ndez T\u00e9llez","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 1 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Y.","family":"Mart\u00ednez Laguna","sequence":"additional","affiliation":[{"name":"Vicerrector\u00eda de Investigaci\u00f3n y Estudios de Posgrado, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 2 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0209-5966","authenticated-orcid":false,"given":"J. F.","family":"L\u00f3pez-Olgu\u00edn","sequence":"additional","affiliation":[{"name":"Herbario y Jard\u00edn Bot\u00e1nico, Vicerrector\u00eda de Investigaci\u00f3n y Estudios de Posgrado, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 3 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]},{"name":"Centro de Agroecolog\u00eda, Instituto de Ciencias, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 4 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4380-8600","authenticated-orcid":false,"given":"J. E.","family":"Ram\u00edrez","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias F\u00edsico Matem\u00e1ticas, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla 1 , Apartado Postal 165, 72000 Puebla, Pue.,","place":["Mexico"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,9,23]]},"reference":[{"key":"2026092308545186000_c1","volume-title":"Phytophthora Diseases Worldwide"},{"issue":"5","key":"2026092308545186000_c2","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1094\/Phyto-72-507","article-title":"Effect of soil matric potential on the formation and indirect germination of sporangia of Phytophthora parasitica, P. capsici, and P. cryptogea","volume":"72","year":"1982","journal-title":"Phytopathology"},{"key":"2026092308545186000_c3","volume-title":"Plant Pathology Concepts and Laboratory Exercises","year":"2007"},{"key":"2026092308545186000_c4","volume-title":"Phytophthora: A Global Perspective","year":"2013"},{"key":"2026092308545186000_c5","doi-asserted-by":"publisher","first-page":"1069","DOI":"10.1094\/PDIS.2001.85.10.1069","volume":"85","year":"2001","journal-title":"Plant Dis."},{"issue":"10","key":"2026092308545186000_c6","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1007\/s11274-024-04108-6","article-title":"Deciphering fungicide resistance in Phytophthora: mechanisms, prevalence, and sustainable management approaches","volume":"40","journal-title":"World J. Microbiol. Biotechnol."},{"key":"2026092308545186000_c7","doi-asserted-by":"publisher","first-page":"063401","DOI":"10.1088\/1742-5468\/add0a5","volume":"2025","journal-title":"J. Stat. Mech."},{"key":"2026092308545186000_c8","doi-asserted-by":"publisher","first-page":"063105","DOI":"10.1063\/5.0044714","volume":"31","year":"2021","journal-title":"Chaos"},{"key":"2026092308545186000_c9","doi-asserted-by":"publisher","first-page":"032301","DOI":"10.1103\/PhysRevE.101.032301","volume":"101","year":"2020","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c10","volume-title":"Physics and Geometry of Disorder: Percolation Theory","year":"1986"},{"key":"2026092308545186000_c11","volume-title":"Introduction to Percolation Theory","year":"2014"},{"key":"2026092308545186000_c12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2015.03.003","volume":"578","year":"2015","journal-title":"Phys. Rep."},{"key":"2026092308545186000_c13","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1080\/00018732.2019.1650450","volume":"68","year":"2019","journal-title":"Adv. Phys."},{"key":"2026092308545186000_c14","volume-title":"Applications of Percolation Theory","year":"2023"},{"key":"2026092308545186000_c15","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1146\/annurev.py.24.090186.001523","volume":"24","year":"1986","journal-title":"Annu. Rev. Phytopathol."},{"key":"2026092308545186000_c16","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.cropro.2013.06.008","volume":"53","year":"2013","journal-title":"Crop Prot."},{"key":"2026092308545186000_c17","doi-asserted-by":"publisher","first-page":"062409","DOI":"10.1103\/PhysRevE.98.062409","volume":"98","year":"2018","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c18","doi-asserted-by":"publisher","first-page":"386","DOI":"10.3390\/e27040386","volume":"27","year":"2025","journal-title":"Entropy"},{"key":"2026092308545186000_c19","doi-asserted-by":"publisher","first-page":"4104","DOI":"10.1103\/PhysRevLett.85.4104","volume":"85","year":"2000","journal-title":"Phys. Rev. Lett."},{"key":"2026092308545186000_c20","doi-asserted-by":"publisher","first-page":"454003","DOI":"10.1088\/1751-8113\/48\/45\/454003","volume":"48","year":"2015","journal-title":"J. Phys. A: Math. Theor."},{"key":"2026092308545186000_c21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2020.12.003","volume":"907","year":"2021","journal-title":"Phys. Rep."},{"key":"2026092308545186000_c22","doi-asserted-by":"publisher","first-page":"5468","DOI":"10.1103\/PhysRevLett.85.5468","volume":"85","year":"2000","journal-title":"Phys. Rev. Lett."},{"key":"2026092308545186000_c23","doi-asserted-by":"publisher","first-page":"066145","DOI":"10.1103\/PhysRevE.70.066145","volume":"70","year":"2004","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c24","doi-asserted-by":"publisher","first-page":"767","DOI":"10.1016\/j.scitotenv.2017.10.024","volume":"615","year":"2018","journal-title":"Sci. Total Environ."},{"key":"2026092308545186000_c25","doi-asserted-by":"publisher","first-page":"106627","DOI":"10.1016\/j.agee.2019.106627","volume":"285","year":"2019","journal-title":"Agr. Ecosyst. Environ."},{"key":"2026092308545186000_c26","doi-asserted-by":"publisher","first-page":"182","DOI":"10.3767\/persoonia.2018.40.08","volume":"40","year":"2018","journal-title":"Persoonia"},{"key":"2026092308545186000_c27","doi-asserted-by":"publisher","first-page":"623","DOI":"10.1111\/ppa.12620","volume":"66","year":"2017","journal-title":"Plant Pathol."},{"key":"2026092308545186000_c28","doi-asserted-by":"publisher","first-page":"331","DOI":"10.29312\/remexca.v13i28.3287","volume":"13","year":"2022","journal-title":"Rev. Mex. Cienc. Agr\u00edc."},{"key":"2026092308545186000_c29","doi-asserted-by":"publisher","first-page":"2049","DOI":"10.1007\/s10530-024-03292-8","volume":"26","year":"2024","journal-title":"Biol. Invasions"},{"key":"2026092308545186000_c30","doi-asserted-by":"publisher","first-page":"P06014","DOI":"10.1088\/1742-5468\/2014\/06\/P06014","volume":"2014","journal-title":"J. Stat. Mech. Theory Exp."},{"key":"2026092308545186000_c31","doi-asserted-by":"publisher","first-page":"125802","DOI":"10.1016\/j.physa.2021.125802","volume":"569","year":"2021","journal-title":"Phys. A"},{"key":"2026092308545186000_c32","doi-asserted-by":"publisher","first-page":"016706","DOI":"10.1103\/PhysRevE.64.016706","volume":"64","year":"2001","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c33","volume-title":"Algorithms","year":"2011"},{"key":"2026092308545186000_c34","doi-asserted-by":"publisher","first-page":"014304","DOI":"10.1103\/PhysRevE.109.014304","volume":"109","year":"2024","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c35","doi-asserted-by":"publisher","first-page":"L585","DOI":"10.1088\/0305-4470\/30\/16\/005","volume":"30","year":"1997","journal-title":"J. Phys. A: Math. Gen."},{"key":"2026092308545186000_c36"},{"key":"2026092308545186000_c37","doi-asserted-by":"publisher","first-page":"3829","DOI":"10.1088\/0305-4470\/15\/12\/032","volume":"15","year":"1982","journal-title":"J. Phys. A: Math. Gen."},{"key":"2026092308545186000_c38","doi-asserted-by":"publisher","first-page":"066129","DOI":"10.1103\/PhysRevE.72.066129","volume":"72","year":"2005","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c39","doi-asserted-by":"publisher","first-page":"3438","DOI":"10.1103\/PhysRevB.14.3438","volume":"14","year":"1976","journal-title":"Phys. Rev. B"},{"key":"2026092308545186000_c40","doi-asserted-by":"publisher","first-page":"046134","DOI":"10.1103\/PhysRevE.66.046134","volume":"66","year":"2002","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c41","doi-asserted-by":"publisher","first-page":"486","DOI":"10.1016\/S0378-4371(01)00567-2","volume":"305","year":"2002","journal-title":"Phys. A"},{"key":"2026092308545186000_c42","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/BF01016429","volume":"52","year":"1988","journal-title":"J. Stat. Phys."},{"key":"2026092308545186000_c43","doi-asserted-by":"publisher","first-page":"2770","DOI":"10.1103\/PhysRevLett.84.2770","volume":"84","year":"2000","journal-title":"Phys. Rev. Lett."},{"key":"2026092308545186000_c44","doi-asserted-by":"publisher","first-page":"052113","DOI":"10.1103\/PhysRevE.91.052113","volume":"91","year":"2015","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c45","doi-asserted-by":"publisher","first-page":"011109","DOI":"10.1103\/PhysRevE.86.011109","volume":"86","year":"2012","journal-title":"Phys. Rev. E"},{"key":"2026092308545186000_c46","doi-asserted-by":"publisher","first-page":"1193","DOI":"10.1142\/S0129183199000978","volume":"10","year":"1999","journal-title":"Int. J. Mod. Phys. C"},{"key":"2026092308545186000_c47","doi-asserted-by":"publisher","first-page":"130400","DOI":"10.1016\/j.physa.2025.130400","volume":"661","year":"2025","journal-title":"Phys. A"},{"key":"2026092308545186000_c48","doi-asserted-by":"publisher","DOI":"10.5281\/zenodo.21970142"}],"container-title":["Chaos: An Interdisciplinary Journal of Nonlinear Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/cha\/article-pdf\/doi\/10.1063\/5.0349486\/21150842\/093144_1_5.0349486.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/cha\/article-pdf\/doi\/10.1063\/5.0349486\/21150842\/093144_1_5.0349486.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,23]],"date-time":"2026-09-23T12:54:58Z","timestamp":1790168098000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/cha\/article\/36\/9\/093144\/3405202\/Assessing-the-effectiveness-of-barrier-allocation"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9,1]]},"references-count":48,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2026,9,1]]}},"URL":"https:\/\/doi.org\/10.1063\/5.0349486","relation":{},"ISSN":["1054-1500","1089-7682"],"issn-type":[{"value":"1054-1500","type":"print"},{"value":"1089-7682","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2026,9]]},"published":{"date-parts":[[2026,9,1]]},"article-number":"093144"}}