{"id":16443,"date":"2021-04-13T17:23:56","date_gmt":"2021-04-13T17:23:56","guid":{"rendered":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/actual-news\/24699\/"},"modified":"2024-07-24T17:28:42","modified_gmt":"2024-07-24T16:28:42","slug":"24699","status":"publish","type":"cpt_aktualne_spravy","link":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/actual-news\/24699\/","title":{"rendered":"Eko-matematika a trvalo udr\u017eate\u013en\u00fd rozvoj"},"content":{"rendered":"\n<p>Jednou z najd\u00f4le\u017eitej\u0161\u00edch ekologick\u00fdch t\u00e9m na svete je ochrana r\u00f4znych typov ekosyst\u00e9mov. Nelichotiv\u00e1 situ\u00e1cia v tejto oblasti je napr\u00edklad v krajine s ve\u013emi bohat\u00fdm ekologick\u00fdm potenci\u00e1lom, &nbsp;v Chile. &nbsp;Preto \u010dlenovia <em><strong>Transdisciplin\u00e1rneho v\u00fdskumn\u00e9ho centra pre soci\u00e1lne a ekologick\u00e9 strat\u00e9gie pre trvalo udr\u017eate\u013en\u00e9 obhospodarovanie lesov<\/strong><\/em> v Ju\u017enej Amerike na Universidad Austral de Chile vydali koncom roka 2018 v\u00fdzvu <strong>pre v\u00fdskumn\u00fdch pracovn\u00edkov z cel\u00e9ho sveta<\/strong>, ktor\u00ed by prispeli k rie\u0161eniu tohto stavu. Do v\u00fdzvy sa zapojil aj <a href=\"https:\/\/www.upjs.sk\/PF\/zamestnanec\/jozef.kiselak\/\"><strong>Mgr. Jozef Kise\u013e\u00e1k, PhD.<\/strong><\/a> z <a href=\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/ustav\/umv\/\"><strong>\u00dastavu matematick\u00fdch vied PF UPJ\u0160<\/strong><\/a>, v spolupr\u00e1ci s matematikmi z Rak\u00faska a \u010ceskej republiky. V\u00fdsledkom je \u0161t\u00fadia, ktor\u00e1 je s\u00fa\u010das\u0165ou jednej z najviac pou\u017e\u00edvan\u00fdch <strong>SpringerLink monografi\u00ed.<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><\/p>\n\n\n\n<p>Autori sa vo svojej pr\u00edpadovej \u0161t\u00fadii s\u00fastredili na anal\u00fdzu stavu mokrad\u00ed v Chile. Tieto ekosyst\u00e9my s\u00fa uk\u00e1\u017ekov\u00fdm pr\u00edkladom biodiverzity. Napriek tomu, \u017ee s\u00fa jedn\u00fdm z prirodzen\u00fdch producentov sklen\u00edkov\u00fdch plynov (oxidu uhli\u010dit\u00e9ho a met\u00e1nu), ub\u00fadanie t\u00fdchto ekosyst\u00e9mov m\u00f4\u017ee ma\u0165 nepriazniv\u00e9 n\u00e1sledky na na\u0161u plan\u00e9tu. Pou\u017eit\u00edm \u0161tatisticko-analytick\u00fdch met\u00f3d autori vyhodnocovali ekologick\u00fa zranite\u013enos\u0165 (ecological vulnerability &#8211; EV), ktor\u00e1 je v\u00fdznamn\u00e1 pre ochranu a podporu stability ekosyst\u00e9mu. <strong>Z matematick\u00e9ho poh\u013eadu je ekosyst\u00e9m dynamick\u00fdm komplexn\u00fdm syst\u00e9mom meniacim sa v \u010dase<\/strong>, na ktor\u00fd sa m\u00f4\u017eeme d\u00edva\u0165 ako na tzv. \u010dasov\u00fd rad. S t\u00fdm s\u00favisia v\u00fdskumn\u00e9 pr\u00edstupy, ktor\u00e9 m\u00f4\u017eeme pri \u0161t\u00fadiu ekosyst\u00e9mu pou\u017ei\u0165. Teoretick\u00fdm v\u00fdchodiskom spom\u00ednan\u00fdch autorov bola rekuren\u010dn\u00e1 anal\u00fdza, pozri <strong>Obr\u00e1zok 1.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/www.upjs.sk\/\/app\/uploads\/sites\/10\/2022\/09\/veda_13042021_1.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><\/p>\n\n\n\n<p><span style=\"font-size: 11px;\"><em><strong>Obr\u00e1zok 1:<\/strong> Rekuren\u010dn\u00fd graf ukazuje, \u010di s\u00fa jednotliv\u00e9 stavy dynamick\u00e9ho syst\u00e9mu rekon\u0161truovan\u00e9&nbsp;z dan\u00e9ho \u010dasov\u00e9ho radu \u2018\u2019bl\u00edzke\u2019\u2019: ak \u00e1no (ako napr. dvojica bodov \u010dierna 4 a siv\u00e1 4 na obr. A),&nbsp;prirad\u00ed sa tejto dvojici \u010dierny \u0161tvor\u010dek na obr. B, ak nie (ako napr. dvojica bodov \u010dierna 5 a siv\u00e1 5),&nbsp;prirad\u00ed sa jej biely \u0161tvor\u010dek. V\u00fdsledn\u00fd vzor v\u00fdskytu t\u00fdchto stavov zaznamenan\u00fdch na rekuren\u010dnom&nbsp;grafe na obr. B poskytuje d\u00f4le\u017eit\u00e9 inform\u00e1cie o spr\u00e1van\u00ed sa sk\u00faman\u00e9ho syst\u00e9mu<\/em><\/span><\/p>\n\n\n\n<p>Ukazuje sa, \u017ee tieto <strong>teoretick\u00e9 v\u00fdchodisk\u00e1 d\u00e1vaj\u00fa v praxi dobr\u00e9 v\u00fdsledky<\/strong>. Autori ich overili na nameran\u00fdch hodnot\u00e1ch emisi\u00ed met\u00e1nu a oxidu uhli\u010dit\u00e9ho v mokradiach v ju\u017enom \u010cesku. V\u00fdsledky dobre odpovedali spr\u00e1vaniu sa ekosyst\u00e9mu. Nameran\u00e9 hodnoty a rekuren\u010dn\u00fd graf poukazuj\u00fa na fakt, \u017ee je tu pr\u00edtomn\u00e1 v\u00fdrazn\u00e1 n\u00e1hodn\u00e1 zlo\u017eka podobn\u00e1 autoregresn\u00fdm n\u00e1hodn\u00fdm procesom a tie\u017e o \u010dosi menej v\u00fdrazn\u00e1 chaotick\u00e1 zlo\u017eka podobn\u00e1 neline\u00e1rnej logistickej iter\u00e1cii. V\u00fdsledky rekuren\u010dnej anal\u00fdzy, vi\u010f. Obr\u00e1zok 2, <strong>napom\u00e1haj\u00fa detegova\u0165 \u0161truktur\u00e1lne zmeny v dynamike syst\u00e9mu<\/strong>, ak\u00fdmi s\u00fa napr\u00edklad prechody typu periodicita-chaos, \u010di chaos-chaos.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/www.upjs.sk\/\/app\/uploads\/sites\/10\/2022\/09\/veda_13042021_2.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/www.upjs.sk\/\/app\/uploads\/sites\/10\/2022\/09\/veda_13042021_3.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><\/p>\n\n\n\n<p><em><span style=\"font-size: 11px;\"><strong>Obr\u00e1zok 2: <\/strong>Jeden \u010dasov\u00fd \u00fasek nameran\u00fdch d\u00e1t met\u00e1nu, zodpovedaj\u00faci rekuren\u010dn\u00fd graf a v\u00fdsledky rekuren\u010dnej anal\u00fdzy (tabu\u013eka). Izolovan\u00e9 body odr\u00e1\u017eaj\u00fa n\u00e1hodn\u00e9 spr\u00e1vanie (siln\u00e1 fluktu\u00e1cia v procese). Hodnoty DET (percento rekuren\u010dn\u00fdch bodov, ktor\u00e9 tvoria diagon\u00e1lne l\u00ednie), ktor\u00e9 s\u00fa indik\u00e1torom determinizmu v sk\u00famanom syst\u00e9me, nie s\u00fa pr\u00edli\u0161 vysok\u00e9, \u010do potvrdzuje, \u017ee aj stochastick\u00e1 \u010das\u0165 je pr\u00edtomn\u00e1 vo v\u00fdraznej miere. Vertik\u00e1lne a horizont\u00e1lne klastre (vysok\u00e9 percentu\u00e1lne hodnoty LAM) znamenaj\u00fa, \u017ee niektor\u00e9 stavy sa ur\u010dit\u00fd \u010das nezmenia alebo sa menia pomaly (indik\u00e1cia lamin\u00e1rnych stavov syst\u00e9mu).&nbsp;<\/span><\/em><\/p>\n\n\n\n<p><strong>Publikovan\u00e9 \u0161tatistick\u00e9 v\u00fdstupy<\/strong> poskytuj\u00fa pr\u00ednosn\u00e9 inform\u00e1cie, ktor\u00e9 m\u00f4\u017eu pom\u00f4c\u0165 zauja\u0165 spr\u00e1vny postoj k ochrane mokra\u010fov\u00fdch ekosyst\u00e9mov a na z\u00e1klade toho pr\u00edjma\u0165 vhodn\u00e9 opatrenia k regul\u00e1cii sklen\u00edkov\u00fdch plynov.<\/p>\n\n\n\n<p><strong>Odkaz na publikovan\u00e9 \u0161t\u00fadie:&nbsp;<\/strong><br>Stehl\u00edk M., Kise\u013e\u00e1k J., Du\u0161ek J. (2020) On Ecosystem Dynamics for the Conservation of Wetlands and Forest. In: Fuders F., Donoso P. (eds) Ecological Economic and Socio Ecological Strategies for Forest Conservation. Springer, Cham. &nbsp; <a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-030-35379-7_9\" target=\"_blank\" rel=\"noopener\">https:\/\/link.springer.com\/chapter\/10.1007\/978-3-030-35379-7_9<\/a><\/p>\n\n\n\n<p>Kise\u013e\u00e1k J., Du\u0161ek J., Stehl\u00edk M. &nbsp;(2018). Recurrence of CH4 and CO2 emissions measured by a non-steady state flow-through chamber system. AIP Conference Proceedings, 2046, 020046. https:\/\/aip.scitation.org\/doi\/10.1063\/1.5081566&nbsp; &nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p style=\"text-align:justify\">Jednou z najd\u00f4le\u017eitej\u0161\u00edch ekologick\u00fdch t\u00e9m na svete je ochrana r\u00f4znych typov ekosyst\u00e9mov. Nelichotiv\u00e1 situ\u00e1cia stavu mokrad\u00ed v Chile, v krajine s ve\u013emi bohat\u00fdm ekologick\u00fdm potenci\u00e1lom, bol d\u00f4vodom pre <strong>vyhl\u00e1senie v\u00fdzvy pre v\u00fdskumn\u00fdch pracovn\u00edkov z cel\u00e9ho sveta<\/strong>. Do v\u00fdzvy sa zapojil aj <a href=\"https:\/\/www.upjs.sk\/PF\/zamestnanec\/jozef.kiselak\/\"><strong>Mgr. Jozef Kise\u013e\u00e1k, PhD<\/strong><\/a>. z <a href=\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/ustav\/umv\/\"><strong>\u00dastavu matematick\u00fdch vied PF UPJ\u0160<\/strong><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"menu_order":0,"template":"","meta":{"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}"},"categories":[],"tags":[],"tax_aktuality":[],"class_list":["post-16443","cpt_aktualne_spravy","type-cpt_aktualne_spravy","status-publish","hentry"],"acf":{"acf_link_na_externy_obsah":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Eko-matematika a trvalo udr\u017eate\u013en\u00fd rozvoj - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/actual-news\/24699\/\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Eko-matematika a trvalo udr\u017eate\u013en\u00fd rozvoj - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\" \/>\n<meta property=\"og:description\" content=\"Jednou z najd\u00f4le\u017eitej\u0161\u00edch ekologick\u00fdch t\u00e9m na svete je ochrana r\u00f4znych typov ekosyst\u00e9mov. Nelichotiv\u00e1 situ\u00e1cia stavu mokrad\u00ed v Chile, v krajine s ve\u013emi bohat\u00fdm ekologick\u00fdm potenci\u00e1lom, bol d\u00f4vodom pre vyhl\u00e1senie v\u00fdzvy pre v\u00fdskumn\u00fdch pracovn\u00edkov z cel\u00e9ho sveta. Do v\u00fdzvy sa zapojil aj Mgr. 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Nelichotiv\u00e1 situ\u00e1cia stavu mokrad\u00ed v Chile, v krajine s ve\u013emi bohat\u00fdm ekologick\u00fdm potenci\u00e1lom, bol d\u00f4vodom pre vyhl\u00e1senie v\u00fdzvy pre v\u00fdskumn\u00fdch pracovn\u00edkov z cel\u00e9ho sveta. Do v\u00fdzvy sa zapojil aj Mgr. 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