{"id":585,"date":"2010-08-02T08:16:58","date_gmt":"2010-08-02T08:16:58","guid":{"rendered":"http:\/\/envafs.dungnq.local\/2010\/08\/02\/integral-proection-models-for-trees-a-new-paramaterization-method-and-a-validation-of-model-output\/"},"modified":"2010-08-02T08:16:58","modified_gmt":"2010-08-02T08:16:58","slug":"integral-proection-models-for-trees-a-new-paramaterization-method-and-a-validation-of-model-output","status":"publish","type":"post","link":"https:\/\/vafs.gov.vn\/en\/2010\/08\/integral-proection-models-for-trees-a-new-paramaterization-method-and-a-validation-of-model-output\/","title":{"rendered":"Integral Pr\u1ecdection Models for trees: a new paramaterization method and a validation of model output"},"content":{"rendered":"<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\"><span style=\"font-family: Arial;font-size: 10pt\">Pieter A. Zuidema1,4,*, Eelke Jongejans2, Pham D. Chien1,3,4, Heinjo J. During1 <\/span><span style=\"font-family: Arial;font-size: 10pt\">and Feike Schieving1<\/span><\/span>\n<\/p>\n<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\"><\/span><span style=\"font-family: Arial;font-size: 10pt\">1. Matrix models are popular tools for plant demographic studies, but their application to<\/span><span style=\"font-family: Arial;font-size: 10pt\">long-lived, slow-growing species is hampered by the fact that (i) model output is highly sensitive to<\/span><span style=\"font-family: Arial;font-size: 10pt\">category width and (ii) growth variation between individuals can only be partially accounted for. Integral<\/span><span style=\"font-family: Arial;font-size: 10pt\">Projection Models (IPMs) &ndash; an extension of matrix models &ndash; offer a solution to these problems.<\/span>\n<\/p>\n<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\">2. Here, we introduce a new method to parameterize IPMs for trees &ndash; the &lsquo;integration method&rsquo; &ndash;<\/span><span style=\"font-family: Arial;font-size: 10pt\">which allows constructing IPMs for long-lived, slow-growing species. This approach is more<\/span><span style=\"font-family: Arial;font-size: 10pt\">suitable than the &lsquo;midpoint rule&rsquo;, which is customarily used.<\/span>\n<\/p>\n<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\">3. We built IPMs for six tree species from Vietnamese (sub)tropical forests. For four of these species,<\/span><span style=\"font-family: Arial;font-size: 10pt\">population growth rate (k) was highly sensitive to the number of categories in the transition<\/span><span style=\"font-family: Arial;font-size: 10pt\">matrix. Population growth stabilized for IPMs with 100&ndash;1000 categories, corresponding to categories<\/span><span style=\"font-family: Arial;font-size: 10pt\">of 0.1&ndash;1 cm in trunk diameter. This preferred width is much narrower than the 10-cm-wide categories<\/span><span style=\"font-family: Arial;font-size: 10pt\">customarily used in tree models.<\/span>\n<\/p>\n<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\">4. The distribution of elasticity values over transition types (stasis, progression to next and further<\/span><span style=\"font-family: Arial;font-size: 10pt\">categories) is also highly sensitive to matrix dimension in IPMs. In addition, elasticity distribution is<\/span><span style=\"font-family: Arial;font-size: 10pt\">influenced by including or excluding growth variation.<\/span>\n<\/p>\n<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\">5. Age estimates obtained from IPMs were also highly sensitive to matrix dimension: an IPMwith<\/span><span style=\"font-family: Arial;font-size: 10pt\">1000 size categories yielded 2&ndash;4 times higher age estimates for large trees than one with 10 size categories.<\/span><span style=\"font-family: Arial;font-size: 10pt\">Observed ages obtained from tree ring analyses for four of the study species allowed validating<\/span><span style=\"font-family: Arial;font-size: 10pt\">these estimates. IPMs with 10 categories strongly underestimated age, while those with 1000<\/span><span style=\"font-family: Arial;font-size: 10pt\">categories yielded slight age overestimates. Underestimating age in small matrices is caused by the<\/span><span style=\"font-family: Arial;font-size: 10pt\">occurrence of unrealistically fast pathways through the life cycle and is probably widespread among<\/span><span style=\"font-family: Arial;font-size: 10pt\">tree models with broad categories. Overestimating ages in IPMs with narrow categories may be due<\/span><span style=\"font-family: Arial;font-size: 10pt\">to temporally autocorrelated growth or errors in fitting growth curves.<\/span>\n<\/p>\n<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\">6. Synthesis. IPMs are highly suitable tools to analyse tree demography. We recommend that tree<\/span><span style=\"font-family: Arial;font-size: 10pt\">IPMs (and classical matrix models) apply narrow diameter categories (0.1&ndash;1 cm width) to obtain<\/span><span style=\"font-family: Arial;font-size: 10pt\">reliable model output.<\/span><span style=\"font-family: Arial;font-size: 10pt\">Key-words: age estima<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p align=\"justify\">\n&nbsp;\n<\/p>\n<p align=\"justify\">\n<span style=\"font-family: Arial;font-size: 10pt\">Matrix models are popular tools for plant demographic studies, but their application to<\/span><span style=\"font-family: Arial;font-size: 10pt\">long-lived, slow-growing species is hampered by the fact that (i) model output is highly sensitive to category width and (ii) growth variation between individuals can only be partially accounted for. Integral Projection Models (IPMs) &ndash; an extension of matrix models &ndash; offer a solution to these problems.<\/span>\n<\/p>\n<p align=\"justify\">\n&nbsp;<\/p>\n","protected":false},"author":0,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[7],"tags":[],"_links":{"self":[{"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/posts\/585"}],"collection":[{"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/comments?post=585"}],"version-history":[{"count":0,"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/posts\/585\/revisions"}],"wp:attachment":[{"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/media?parent=585"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/categories?post=585"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vafs.gov.vn\/en\/wp-json\/wp\/v2\/tags?post=585"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}