{"id":261,"date":"2017-04-18T03:33:28","date_gmt":"2017-04-18T03:33:28","guid":{"rendered":"http:\/\/sites.warnercnr.colostate.edu\/gwhite\/?page_id=261"},"modified":"2017-04-18T03:33:28","modified_gmt":"2017-04-18T03:33:28","slug":"open-robust-design-multi-state-model-live-recaptures","status":"publish","type":"page","link":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/open-robust-design-multi-state-model-live-recaptures\/","title":{"rendered":"Open Robust Design Multi-State Model for Live Recaptures"},"content":{"rendered":"<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/index.html\">Contents<\/a> &#8211; <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/idx.htm\">Index<\/a><\/span><\/p>\n<hr \/>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: medium\"><b>Open Robust Design Multi-State Model for Live Recaptures<\/b><\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">The <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/multi_state_models.htm\">muti-state data type<\/a> was extended to have a <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/robust_design_model.htm\">robust design<\/a> by <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/pertinentliterature.htm\">Kendall and Bjorkland (2001)<\/a>.\u00a0 Each primary session is considered to be open, allowing animals to immigrate and emigrate from the study area.\u00a0 However, an animal&#8217;s state is fixed during a primary session, i.e., it cannot change states during a primary session.\u00a0 Transition between states is only allowed between primary sessions (psi parameter below).<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">The parameters in the open robust-design multi-state model are:<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"><i>S<\/i>(<i>s<\/i>) &#8211; survival rate between primary occasions for state <i>s.<\/i><\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"><i><\/i>psi(<i>r<\/i>, <i>s<\/i>) &#8211; transition probability from state <i>r<\/i> to state <i>s.<\/i><\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">The following parameters appear for each primary session.<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">pent(<i>s<\/i>, <i>t<\/i>) &#8211; probability of entry onto the study area of state <i>s<\/i> at time <i>t<\/i>.\u00a0 The probability of entering just prior to the last secondary occasion is obtained by subtraction, so that the sum of the pent values in a primary session should be constrained to &lt;=1 using the MLogit <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/link_functions.htm\">link function<\/a>.\u00a0 An <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/mlogit_link.htm\">example<\/a> of how to invoke constrains and still use the MLogit link function is also provided.<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">phi(<i>s<\/i>, <i>t<\/i>) &#8211; probability of remaining on the study area of state <i>s<\/i> at time <i>t<\/i>, given that the animal had previously entered the study area.<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">p(<i>s<\/i>, <i>t<\/i>) &#8211; capture probability of the animal on the study area of state <i>s<\/i> at time <i>t<\/i> given that the animal is on the study area at time <i>t<\/i>.<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/encounter_histories_format.htm\">Encounter histories<\/a> are formatted as\u00a0 LLL&#8230;, i.e., only live encounters are needed, because dead encounters are not used in this data type.<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">The identifier for this data type is 32. ORDMS: Open Robust Design Multi-state.\u00a0 In addition, there is also data type 119. ORDMSState: Open Robust Design Multi-state with State Probabilities.\u00a0 This second version includes the parameter omega that provides an estimate of the probability of being in each of the states.<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">Three sets of derived parameters are computed.\u00a0 First, the estimated population size for each state and primary session is estimated.\u00a0 Then, 2 sets of estimates of <\/span><span style=\"font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/residence_times.htm\">residence times<\/a><\/span><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"> are computed.\u00a0<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">Other open robust design multi-state models include <\/span><span style=\"font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/robust_design_multi_state_state_uncertainty.htm\">state uncertainty<\/a><\/span><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Contents &#8211; Index Open Robust Design Multi-State Model for Live Recaptures The muti-state data type was extended to have a robust design by Kendall and Bjorkland (2001).\u00a0 Each primary session is considered to be open, allowing animals to immigrate and &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/open-robust-design-multi-state-model-live-recaptures\/\"> <span class=\"screen-reader-text\">Open Robust Design Multi-State Model for Live Recaptures<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":117,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-261","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/261","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/users\/117"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/comments?post=261"}],"version-history":[{"count":1,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/261\/revisions"}],"predecessor-version":[{"id":262,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/261\/revisions\/262"}],"wp:attachment":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/media?parent=261"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}