{"id":962,"date":"2023-10-20T15:03:55","date_gmt":"2023-10-20T19:03:55","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/eweguide\/?post_type=chapter&#038;p=962"},"modified":"2024-09-28T14:40:26","modified_gmt":"2024-09-28T18:40:26","slug":"function-shapes","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/","title":{"raw":"Function shapes","rendered":"Function shapes"},"content":{"raw":"<p style=\"font-weight: 400\">The Ecosim and Ecospace modules contain forcing functions and mediation functions through which temporal dynamics of the model can be influenced. These functions can be arbitrarily sketched, obtained from external data where known, or derived from a series of predefined mathematical distributions.<\/p>\r\n<p style=\"font-weight: 400\">The EwE software offers the predefined distributions illustrated in Figures 1 to 10. In addition, efforts are under way to allow users to programmatically add their own distributions via plug-ins.<\/p>\r\n&nbsp;\r\n\r\n[gallery size=\"medium\" columns=\"2\" ids=\"1467,1468,1469,1470,1471,1472,1473,1474,1475,1476\"]\r\n\r\n&nbsp;\r\n\r\nWe illustrate the variables and use of forcing functions shape with an example, see Figure 11.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_991\" align=\"aligncenter\" width=\"1024\"]<img class=\"wp-image-991 size-large\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-1024x636.png\" alt=\"\" width=\"1024\" height=\"636\" \/> <b>Figure 11 <\/b>- Sigmoid response function in the Ecosim &gt; Input &gt; Forcing function &gt; Change shape form.[\/caption]\r\n<ul>\r\n \t<li style=\"font-weight: 400\"><strong>X min - <\/strong>Minimum value of the X axis data<\/li>\r\n \t<li style=\"font-weight: 400\"><strong>X max - <\/strong>Maximum value of the X axis data<\/li>\r\n \t<li style=\"font-weight: 400\"><strong>X mid - <\/strong>Middle of the curve, where the sigmoid function returns 0.5. This does not have to be the mean value of the X axis data.<\/li>\r\n \t<li style=\"font-weight: 400\"><strong>X opt - <\/strong>Point on the X axis where the sigmoid function returns 0.998, just short of 1.0 so the function doesn\u2019t have to be completely flatten at this point. Entering this value cause the Steep parameter to be calculated, even if it has been entered. If X opt. is greater than X mid. then the shoulder is increasing to the right. If X opt. is less than X mid. then the shoulder will decrease to the right.<\/li>\r\n \t<li style=\"font-weight: 400\"><strong>Steep - <\/strong>Steepness of the curve, high values will make the curve steeper<\/li>\r\n \t<li style=\"font-weight: 400\"><strong>Y max - <\/strong>Maximum value on the Y axis. By default this is one. Included as a parameter so the sigmoid function shapes can be used as a forcing function, this allows for sigmoidal growth or decay in a forcing function.<\/li>\r\n<\/ul>\r\n<p style=\"font-weight: 400\">From a user\u2019s perspective it would be good to set the X axis data range (X min. and X max.) in the <strong>Functional response to environmental forcing<\/strong>. In this dialogue the response function and the forcing data are both displayed in the <strong>Driver histogram &amp; response function<\/strong> plot, there is also UI elements for <strong>X min.<\/strong> and <strong>X max.<\/strong> and a button to set the <strong>Default X axis<\/strong>. Unfortunately, because of the way the <strong>Functional response to environmental forcing\u2026<\/strong> dialog has been programmed, it is awkward to use these values to set the default X min. and X max. values.<\/p>\r\n<p style=\"font-weight: 400\">If X opt. has been entered then Steep parameter will always be calculated, even if it has been entered. To use the Steep parameter instead of X opt., clear the X opt. value and enter only Steep.<\/p>\r\n<p style=\"font-weight: 400\">Sigmoid functions from older version of EwE are still be included for backwards compatibility. They will appear as Sigmoid_Legacy in the Shape type list<\/p>","rendered":"<p style=\"font-weight: 400\">The Ecosim and Ecospace modules contain forcing functions and mediation functions through which temporal dynamics of the model can be influenced. These functions can be arbitrarily sketched, obtained from external data where known, or derived from a series of predefined mathematical distributions.<\/p>\n<p style=\"font-weight: 400\">The EwE software offers the predefined distributions illustrated in Figures 1 to 10. In addition, efforts are under way to allow users to programmatically add their own distributions via plug-ins.<\/p>\n<p>&nbsp;<\/p>\n<style type=\"text\/css\">\n\t\t\t#gallery-1 {\n\t\t\t\tmargin: auto;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-item {\n\t\t\t\tfloat: left;\n\t\t\t\tmargin-top: 10px;\n\t\t\t\ttext-align: center;\n\t\t\t\twidth: 50%;\n\t\t\t}\n\t\t\t#gallery-1 img {\n\t\t\t\tborder: 2px solid #cfcfcf;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-caption {\n\t\t\t\tmargin-left: 0;\n\t\t\t}\n\t\t\t\/* see gallery_shortcode() in wp-includes\/media.php *\/\n\t\t<\/style>\n<div id='gallery-1' class='gallery galleryid-962 gallery-columns-2 gallery-size-medium'>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/1contourlines\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"202\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/1contourlines-300x202.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1467\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/1contourlines-300x202.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/1contourlines-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/1contourlines-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/1contourlines-350x236.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/1contourlines.png 549w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1467'>\n\t\t\t\t<b>Figure 1<\/b> &#8211; Original Contours\n\t\t\t\t<\/dd>\n<\/dl>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/2betapdf\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"202\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/2betapdf-300x202.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1468\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/2betapdf-300x202.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/2betapdf-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/2betapdf-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/2betapdf-350x236.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/2betapdf.png 549w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1468'>\n\t\t\t\t<b>Figure 2<\/b> &#8211; BetaPDF distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<p><br style=\"clear: both\" \/><\/p>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/3exponential\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"202\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/3exponential-300x202.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1469\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/3exponential-300x202.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/3exponential-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/3exponential-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/3exponential-350x236.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/3exponential.png 549w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1469'>\n\t\t\t\t<b>Figure 3<\/b> &#8211; Exponential Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/4hyperbolic\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"202\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/4hyperbolic-300x202.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1470\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/4hyperbolic-300x202.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/4hyperbolic-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/4hyperbolic-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/4hyperbolic-350x236.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/4hyperbolic.png 549w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1470'>\n\t\t\t\t<b>Figure 4<\/b> &#8211; Hyperbolic Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<p><br style=\"clear: both\" \/><\/p>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/5leftshoulder\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"202\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/5leftshoulder-300x202.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1471\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/5leftshoulder-300x202.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/5leftshoulder-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/5leftshoulder-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/5leftshoulder-350x236.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/5leftshoulder.png 549w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1471'>\n\t\t\t\t<b>Figure 5<\/b> &#8211; Left Shoulder Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/6rightshoulder\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"202\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/6rightshoulder-300x202.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1472\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/6rightshoulder-300x202.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/6rightshoulder-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/6rightshoulder-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/6rightshoulder-350x236.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/6rightshoulder.png 549w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1472'>\n\t\t\t\t<b>Figure 6<\/b> &#8211; Right Shoulder Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<p><br style=\"clear: both\" \/><\/p>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/7lineardistribution\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"202\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/7lineardistribution-300x202.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1473\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/7lineardistribution-300x202.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/7lineardistribution-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/7lineardistribution-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/7lineardistribution-350x236.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/7lineardistribution.png 549w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1473'>\n\t\t\t\t<b>Figure 7<\/b>  &#8211; Linear Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/8normaldistribution\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"203\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/8normaldistribution-300x203.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1474\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/8normaldistribution-300x203.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/8normaldistribution-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/8normaldistribution-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/8normaldistribution-350x237.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/8normaldistribution.png 564w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1474'>\n\t\t\t\t<b>Figure 8<\/b> &#8211; Normal Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<p><br style=\"clear: both\" \/><\/p>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/9sigmoid\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"203\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/9sigmoid-300x203.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1475\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/9sigmoid-300x203.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/9sigmoid-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/9sigmoid-225x152.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/9sigmoid-350x237.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/9sigmoid.png 561w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1475'>\n\t\t\t\t<b>Figure 9<\/b> &#8211; Sigmoid Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<dl class='gallery-item'>\n<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/pressbooks.bccampus.ca\/eweguide\/chapter\/function-shapes\/10trapezoid\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"204\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/10trapezoid-300x204.png\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-1476\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/10trapezoid-300x204.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/10trapezoid-65x44.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/10trapezoid-225x153.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/10trapezoid-350x238.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/10trapezoid.png 560w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/dt>\n<dd class='wp-caption-text gallery-caption' id='gallery-1-1476'>\n\t\t\t\t<b>Figure 10<\/b> &#8211; Trapezoid Distribution\n\t\t\t\t<\/dd>\n<\/dl>\n<p><br style=\"clear: both\" \/>\n\t\t<\/div>\n<p>&nbsp;<\/p>\n<p>We illustrate the variables and use of forcing functions shape with an example, see Figure 11.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_991\" aria-describedby=\"caption-attachment-991\" style=\"width: 1024px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-991 size-large\" src=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-1024x636.png\" alt=\"\" width=\"1024\" height=\"636\" srcset=\"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-1024x636.png 1024w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-300x186.png 300w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-768x477.png 768w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-1536x954.png 1536w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-65x40.png 65w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-225x140.png 225w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38-350x217.png 350w, https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-content\/uploads\/sites\/2056\/2023\/10\/Screenshot-2023-10-20-at-14.01.38.png 1630w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption id=\"caption-attachment-991\" class=\"wp-caption-text\"><b>Figure 11 <\/b>&#8211; Sigmoid response function in the Ecosim &gt; Input &gt; Forcing function &gt; Change shape form.<\/figcaption><\/figure>\n<ul>\n<li style=\"font-weight: 400\"><strong>X min &#8211; <\/strong>Minimum value of the X axis data<\/li>\n<li style=\"font-weight: 400\"><strong>X max &#8211; <\/strong>Maximum value of the X axis data<\/li>\n<li style=\"font-weight: 400\"><strong>X mid &#8211; <\/strong>Middle of the curve, where the sigmoid function returns 0.5. This does not have to be the mean value of the X axis data.<\/li>\n<li style=\"font-weight: 400\"><strong>X opt &#8211; <\/strong>Point on the X axis where the sigmoid function returns 0.998, just short of 1.0 so the function doesn\u2019t have to be completely flatten at this point. Entering this value cause the Steep parameter to be calculated, even if it has been entered. If X opt. is greater than X mid. then the shoulder is increasing to the right. If X opt. is less than X mid. then the shoulder will decrease to the right.<\/li>\n<li style=\"font-weight: 400\"><strong>Steep &#8211; <\/strong>Steepness of the curve, high values will make the curve steeper<\/li>\n<li style=\"font-weight: 400\"><strong>Y max &#8211; <\/strong>Maximum value on the Y axis. By default this is one. Included as a parameter so the sigmoid function shapes can be used as a forcing function, this allows for sigmoidal growth or decay in a forcing function.<\/li>\n<\/ul>\n<p style=\"font-weight: 400\">From a user\u2019s perspective it would be good to set the X axis data range (X min. and X max.) in the <strong>Functional response to environmental forcing<\/strong>. In this dialogue the response function and the forcing data are both displayed in the <strong>Driver histogram &amp; response function<\/strong> plot, there is also UI elements for <strong>X min.<\/strong> and <strong>X max.<\/strong> and a button to set the <strong>Default X axis<\/strong>. Unfortunately, because of the way the <strong>Functional response to environmental forcing\u2026<\/strong> dialog has been programmed, it is awkward to use these values to set the default X min. and X max. values.<\/p>\n<p style=\"font-weight: 400\">If X opt. has been entered then Steep parameter will always be calculated, even if it has been entered. To use the Steep parameter instead of X opt., clear the X opt. value and enter only Steep.<\/p>\n<p style=\"font-weight: 400\">Sigmoid functions from older version of EwE are still be included for backwards compatibility. They will appear as Sigmoid_Legacy in the Shape type list<\/p>\n","protected":false},"author":1909,"menu_order":11,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-962","chapter","type-chapter","status-publish","hentry"],"part":441,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/pressbooks\/v2\/chapters\/962","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/wp\/v2\/users\/1909"}],"version-history":[{"count":11,"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/pressbooks\/v2\/chapters\/962\/revisions"}],"predecessor-version":[{"id":1847,"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/pressbooks\/v2\/chapters\/962\/revisions\/1847"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/pressbooks\/v2\/parts\/441"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/pressbooks\/v2\/chapters\/962\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/wp\/v2\/media?parent=962"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/pressbooks\/v2\/chapter-type?post=962"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/wp\/v2\/contributor?post=962"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/eweguide\/wp-json\/wp\/v2\/license?post=962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}