<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=us-ascii">
<meta name="Generator" content="Microsoft Word 15 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
margin-bottom:.0001pt;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:#0563C1;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:#954F72;
text-decoration:underline;}
p
{mso-style-priority:99;
margin:0in;
margin-bottom:.0001pt;
font-size:12.0pt;
font-family:"Times New Roman",serif;}
span.EmailStyle18
{mso-style-type:personal-reply;
font-family:"Calibri",sans-serif;
color:#1F497D;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body bgcolor="white" lang="EN-US" link="#0563C1" vlink="#954F72">
<div class="WordSection1">
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">Dear fellow IPMers!<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">I kindly ask for your help in an apparent silly question. I am trying to use my initial population vector to project the pop. growth of my focal species over
time. I constructed a discrete density-independent kernel using IPMpack (and also manually in R) without problems so far, which means that I can run the eigen analyses with no issues. However, I am having problems projecting the population using the basic
equation <b>nt1 = A*nt</b>. This is very straightforward for matrix population models, where the initial population
<b>nt</b> is a column matrix with the number of individuals in each stage class, but not so much (at least for me) for IPMs where
<b>A</b> would be the <b>Kernel</b> (calculated using the midpoint rule).<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">The difficulty for me has been to implement this equation for the IPM because I don’t know how to prepare this initial vector. In my understanding the length
of the initial pop. vector should be equal to the size of the Kernel (let’s say 100), but I have populations smaller or larger than this and don’t know how to structure these vectors correctly to implement the equation above. I have searched in many available
IPM sources and could not find a direct answer to this (or maybe the answer was there and I simply did not understand). Does IPMpack have a function to output initial and final population vectors, or to extract the initial vector from the kernel?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">In addition, I need to add some individuals to the new population vector
<b>nt1</b>. These added individuals are not used for the calculation of the kernel in year
<b>t</b> but will nonetheless be part of the kernel in year <b>t+1</b>. However, I cannot add anything without knowing how to structure the initial population vector.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">I am still learning the IPM and IPMpack various facets and am truly stuck in this analysis, so any help (or correction, if I said something wrong) is very much
appreciated!<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">Thanks in advance for your attention!<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">Best regards,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="PT-BR" style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">Ernane Vieira-Neto<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="PT-BR" style="font-size:14.0pt;font-family:"Calibri",sans-serif;color:#1F497D">University of Florida<o:p></o:p></span></p>
</div>
</body>
</html>