{"id":2249,"date":"2023-12-04T17:11:10","date_gmt":"2023-12-04T22:11:10","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/?post_type=chapter&#038;p=2249"},"modified":"2026-04-08T18:42:53","modified_gmt":"2026-04-08T22:42:53","slug":"food-chain-model","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/food-chain-model\/","title":{"raw":"Tutorial: Food chain model","rendered":"Tutorial: Food chain model"},"content":{"raw":"<p style=\"font-weight: 400\">Studies have indicated that fishing pressure on prey fish (planktivores) can have larger impact on their predators (piscivores) than on the prey fish.<\/p>\r\n<p style=\"font-weight: 400\">Construct a simple ecosystem model as a simplified version of the Anchovy Bay model to study this closer. The model can be a straight food chain, e.g., with the following functional groups and parameters.<\/p>\r\n<img class=\"alignnone size-full wp-image-4051\" src=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12.png\" alt=\"\" width=\"3326\" height=\"356\" \/>\r\n\r\nCreate a new model <em>Menu &gt; File &gt; New model<\/em> and name it (e.g., \"Food chain\"). The model will be saved as a database with <em>.ewemdb<\/em> extension. Go to <em>Ecopath &gt; Input &gt; Basic input &gt; Define groups<\/em> and click <em>Insert<\/em> four times. In the <em>Group name<\/em> column, enter the first four group names from the table below. (Detritus will already be there). \u00a0Make <em>Phytoplankton<\/em> a <em>Producer<\/em>. \u00a0[While here, change the default colours to <em>Random<\/em>]. Click <em>OK<\/em>.\r\n<p style=\"font-weight: 400\">Enter the following parameters on the <em>Ecopath &gt; Input &gt; Basic input<\/em> form, (cut\/paste works from Excel to EwE, but probably not from the table below)<\/p>\r\n\r\n<table class=\" aligncenter\" style=\"border-collapse: collapse;width: 60.143442%;height: 108px\" border=\"0\">\r\n<tbody>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 6.702574%;height: 18px\"><strong>Group<\/strong><\/td>\r\n<td style=\"width: 15.339113%;text-align: center;height: 18px\"><strong>Biomass (t km<sup>-2<\/sup>)<\/strong><\/td>\r\n<td style=\"width: 11.71981%;text-align: center;height: 18px\"><strong>P\/B (year<sup>-1<\/sup>)<\/strong><\/td>\r\n<td style=\"width: 10.159927%;text-align: center;height: 18px\"><strong>P\/Q<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 6.702574%;height: 18px\">Mackerel<\/td>\r\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">0.5<\/td>\r\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">0.5<\/td>\r\n<td style=\"width: 10.159927%;text-align: center;height: 18px\">0.2<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 6.702574%;height: 18px\">Anchovy<\/td>\r\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">2<\/td>\r\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">1<\/td>\r\n<td style=\"width: 10.159927%;text-align: center;height: 18px\">0.25<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 6.702574%;height: 18px\">Zooplankton<\/td>\r\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">2<\/td>\r\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">10<\/td>\r\n<td style=\"width: 10.159927%;text-align: center;height: 18px\">0.3<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 6.702574%;height: 18px\">Phytoplankton<\/td>\r\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">5<\/td>\r\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">100<\/td>\r\n<td class=\"shaded\" style=\"width: 10.159927%;text-align: center;height: 18px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px\">\r\n<td style=\"width: 6.702574%;height: 18px\">Detritus<\/td>\r\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">10<\/td>\r\n<td class=\"shaded\" style=\"width: 11.71981%;text-align: center;height: 18px\"><\/td>\r\n<td class=\"shaded\" style=\"width: 10.159927%;text-align: center;height: 18px\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div>\r\n<p class=\"Default\"><span lang=\"EN-GB\">Diets: A straight chain as in the figure. Enter them at the <em>Ecopath &gt; Input &gt; Diet composition<\/em> form. <\/span><\/p>\r\n\r\n<\/div>\r\n<div>\r\n<p class=\"Default\"><span lang=\"EN-GB\">Fisheries: there's already a fleet defined by default, so go to <em>Ecopath &gt; Fishery &gt; Landings<\/em><em>,<\/em> and enter a landing of 0.1 t \u00b7 km<sup>-2 <\/sup>\u00b7 year<sup>-1 <\/sup>of <em>mackerel<\/em>. \u00a0[Yes, we give units, units are important and best left explicit!]<\/span><\/p>\r\nBalance the model (<em>Ecopath &gt; Output &gt; Basic estimates<\/em>) and examine the outputs. Make sure the model is balanced! If not (check your input data), balance it!\r\n\r\nOpen a new scenario in Ecosim by going to <em>Ecosim &gt; Output &gt; Run Ecosim<\/em>, and name it, (e.g, \"Scene 1\"). Click <em>Run<\/em>. What do you see? Why is it flatlining?\r\n\r\nThe two principal ways of forcing Ecosim are through fishing effort (by fishing fleet) or through fishing mortality (by functional group).\r\n<div class=\"textbox shaded\">In this tutorial, we change fishing pressure over time. Internally, Ecosim read the fishing pressure from the effort time plot. It knows the Ecopath baseline fishing mortality = catch \/ biomass \u00a0\u2013 with symbols and units, <em>F<\/em> (year<sup>-1<\/sup>) = <em>C<\/em> (t km<sup>-2<\/sup> year<sup>-1<\/sup>) \/ <em>B<\/em> (t km<sup>-2<\/sup>). <span style=\"text-align: initial;font-size: 1em\">When effort changes, Ecosim changes fishing mortality (F) proportionally for all the groups that are caught by the given fleet.<\/span><\/div>\r\nFirst try to increase fishing for <em>mackerel<\/em> over time by doubling fishing effort for the fleet catching mackerel by drawing an increasing shape at <em>Ecosim &gt; Input &gt; Fishing Effort<\/em>. Run Ecosim again, what happens now. Who increases, who doesn't, why? Discuss cascading effects, does it occur, and how does it propagate through the food chain?\r\n\r\nYou can see the results in more detail if you go to\u00a0<em>Ecosim &gt; Output &gt; Ecosim results<\/em>, and click\u00a0<em>Group<\/em>, landed by. Here you can see how much the biomasses of <em>mackerel<\/em> and <em>anchovy<\/em> changed over time (by default it compares the first year of a run with the last year, though you can change that to get results for any time period). Does the increased catch of <em>mackerel<\/em> cause amplification or dampening through the food web?\r\n\r\n<\/div>\r\n<div>\r\n<div class=\"textbox shaded\">To easily compare different runs, you can click\u00a0<em>Show multiple runs<\/em> on the <em>Ecosim &gt; Output &gt; Run Ecosim<\/em> form. \u00a0Also note that you have different options for what to display on this form (though the standard is what is most often used).<\/div>\r\nYou can study the results in more details if you go to\u00a0<em>Ecosim &gt; Output &gt; Group plots<\/em>. These plots are very informative, showing time dynamics of what happens with fishing, predators and prey for each group.\r\n<div class=\"textbox shaded\">If you have a lot of small plots (maybe 13) when you open the <em>Ecosim &gt; Output &gt; Group plots<\/em> form, click the <em>Show plots <\/em>form and un-check the plots from <em>Total discards<\/em> on. You'll then have nine plots in a 3 x 3 matrix.<\/div>\r\nEcosim predictions are especially sensitive to vulnerability multiplier settings <em>(Ecosim &gt; Input &gt; Vulnerabilities). <\/em>Vulnerability multipliers are the key foraging arena parameter, they capture density-dependent effects. \u00a0Think of it like this, the vulnerability multiplier expresses how many times a given predator can increase the predation mortality it is causing on its prey, if the predator abundance were to increase to its carrying capacity. A vulnerability multiplier of 1 thus tells us that the predator is at its carrying capacity \u2013 and hence can increase no more unless its prey becomes more abundant. That implies \"bottom-up\" control. Conversely, high vulnerability multipliers (e.g., 100) tell us that the predator is far from carrying capacity \u00a0\u2013 that's \"top-down\" control.\r\n<div class=\"textbox textbox--sidebar shaded\">With the default vulnerability multiplier of 2, a predator can at most double the predation mortality it's causing on its prey.<\/div>\r\nGo to the <em>Ecosim &gt; Input &gt; Vulnerabilities <\/em>form, and set the vulnerability multiplier for <em>mackerel<\/em>\u00a0eating <em>anchovy<\/em> to 5, run the model again, what happens. Reset the vulnerability multiplier to 2.\r\n\r\nTry setting the vulnerability multiplier for <em>anchovy <\/em>eating <em>zooplankton<\/em> to 5. Run again. What happens now? Does <em>anchovy<\/em>\u00a0behave much differently from when using the default vulnerability multiplier?\r\n\r\nFinally, try setting the vulnerability multipliers for all three interactions to 100. Run again. This setting turns the model into a <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/lotka-volterra\/\">Lotka-Volterra<\/a> model, which tends to be unstable and produce cycles. \u00a0Lotka-Volterra models also tend to self-simplify where groups die out. Did that happen in your model?\r\n\r\nReset your model to default vulnerability multipliers (2).\r\n\r\nAs you can tell from the above, the vulnerability multipliers are important, and we will return to that later when discussing the <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/foraging-arena-theory\/\">foraging arena<\/a> and time series fitting, which indeed has <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/vulnerability-and-vulnerability-multipliers\/\">vulnerability multipliers<\/a>\u00a0and <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/density-dependence-carrying-capacity-and-vulnerability-multipliers\/\">density-dependence<\/a> as key factors.\r\n\r\nNow let's try fishing some <em>anchovy;<\/em>\u00a0do the following\r\n<ul>\r\n \t<li>Go to <span lang=\"EN-GB\"><em>Ecopath &gt; Input &gt; Fishery &gt; Fleets, Define fleets<\/em><\/span><em>\u00a0<\/em>and add a second fleet, name it, e.g., gill netters.<\/li>\r\n \t<li>Give the fleet a landing (<em>Ecopath &gt; Input &gt; Fishery &gt; Landings)<\/em> of 0.4 t km<sup>-2<\/sup> year<sup>-1\u00a0<\/sup>of anchovy.<\/li>\r\n \t<li>On\u00a0<em><span lang=\"EN-GB\">Ecosim &gt; Input &gt; Fishing effort,\u00a0<\/span><\/em><span lang=\"EN-GB\">click\u00a0<em>Reset All<\/em><\/span><\/li>\r\n \t<li>Run Ecosim. It should flatline.<\/li>\r\n \t<li>Go back to <em><span lang=\"EN-GB\">Ecosim &gt; Input &gt; Fishing effort,\u00a0<\/span><\/em><span lang=\"EN-GB\">and double the fishing effort for your new fleet<\/span><\/li>\r\n<\/ul>\r\nRun Ecosim again, what happens?\r\n\r\nExamine the group plot (<em>Ecosim &gt; Output &gt; Ecosim group plots<\/em> for <em>anchovy<\/em>, and note how the <em>anchovy <\/em>catch of the second fleet doubled along with the fishing mortality for the <em>anchovy<\/em>. Then check the <em>Mortality: total, fishing, predation<\/em> plot. Here, from the baseline to the red line represents predation mortality, from the red to the blue line is fishing mortality, and from the blue to the black line is total mortality. What happened to predation mortality when fishing increased?\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Feeding time \u2013 variable or fixed?<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nFish tend to have diurnal patterns, often to reduce predation risk while still being able to feed. If you dive at a reef around dusk, you may see a flurry of activities, finely tuned to eat while not being eaten. This may be of less concern for top predators and marine birds who more likely will spend more time feeding when food abundance is low. We can consider this in Ecosim (and Ecospace) with the relative feeding time parameter at <em>Ecosim &gt; Input &gt; Group info &gt; F<\/em><i>eeding time adjust. rate. <\/i>The default setting for this parameter is 0.5 (range [0,1]), which will allow a predator to change feeding time as needed.\r\n\r\nCheck that your model flatlines. The go to\u00a0<em>Ecosim &gt; Input &gt; Fishing effort,\u00a0<\/em>click on the first fleet at the bottom panel, then click\u00a0<em>Set to value<\/em> and enter 1.1 to increase fishing effort for the fleet catching <em>anchovy<\/em> with 10%. Run Ecosim. What happens? \u00a0Is the model stable?\r\n\r\nNext, remove feeding time adjustment, go to <em>Ecosim &gt; Input &gt; Group info &gt; Feed<\/em><i>ing time adjust. rate<\/i> and set this parameter to 0 for all groups. Run Ecosim again, what happens now?\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox shaded\">\r\n\r\nThe general advice for <em>feeding time adjustment rate <\/em> is to turn it off for all groups apart from marine mammals, birds, top predators and very young stanzas. When using foraging time adjustment, the <em>max. relative feeding time<\/em> may have to be set to more than the default of 2.\r\n\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Stable state?<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nReset the fishing mortality and any other parameters you may have changed in your model. Do an Ecosim run and check that it flatlines.\r\n<div><\/div>\r\nGo back to\u00a0<em>Ecopath &gt; Input &gt; Other production<\/em> and set the <em>biomass accumulation rate<\/em> to -0.1 for <em>mackerel<\/em>. Go back to Ecosim, and run it again, (you'll be asked if you want to save your Ecopath model, just do that).\r\n\r\nThe negative biomass accumulation term tells Ecosim that the fishing mortality on <em>mackerel <\/em>at the Ecopath baseline wasn't sustainable. (You can zoom in on the <em>Ecosim &gt; Output &gt; Run Ecosim<\/em> plot to see the details for the first 15 years or so better). Notice the initial decline in mackerel, and the simple but clear cascading impacts through the <strong>food chain<\/strong>.\r\n\r\nNotice the initial cascading, and that the system after some years stabilizes to a new equilibrium that is different from the original. Which groups decreased, which increased?\r\n\r\nDoes this make sense?\r\n\r\nA lesson is that if the baseline Ecopath model has a biomass accumulation term, the system is not in stable state and we may expect a new stable state to emerge\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox shaded\">\r\n\r\nIn the more diverse <strong>food web<\/strong> of <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/welcome-to-anchovy-bay\/\">Anchovy Bay<\/a>, the biomass accumulation term caused seals to decrease asymptotically and whales to increase asymptotically.\r\n\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Paradox of enrichment<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n<span style=\"text-align: initial\">The term <a href=\"https:\/\/en.wikipedia.org\/wiki\/Paradox_of_enrichment\">paradox of enrichment<\/a> was coined and developed by <a href=\"https:\/\/en.wikipedia.org\/wiki\/Michael_Rosenzweig\">Michael Rosenzweig<\/a> in the early 1970s, and is used to describe how an increase in system productivity may cause a system to become unstable. In a simple system, it can be that food supply make a species like rabbit overabundant causing its population to increase, followed by an increase in its predator, e.g, lynx. The predator population may then overshoot, causing the prey to crash, and it can potentially lead to local extinctions. \u00a0The term is called a paradox as seems unreal that an increase in primary productivity should have such drastic effects.<\/span>\r\n\r\nBut standard <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/lotka-volterra\/\">Lotka-Volterra<\/a> models indeed behave like that. The <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/foraging-arena-theory\/\">foraging arena theory<\/a> provides us with an explanation why this paradox is not a reflection of reality.\r\n\r\nWe can explore this with the model we just built. \u00a0Open your model, make an Ecosim run and check that the model flatlines and that the vulnerabilities are at default (2). Download a time series file (<em>PP paradox.csv<\/em>) from <a href=\"https:\/\/ln5.sync.com\/dl\/5da4236d0\/hze3z66x-4u7i7esr-rdudusir-7feweb4b\">this link<\/a>. Go to\u00a0<em>Ecosim &gt; Input &gt; Time series &gt; Import<\/em> and browse to import the <em>PP paradox.csv<\/em> file. This will import a forcing function with relative primary production values. Go to <em>Ecosim &gt; Input &gt; Forcing functions &gt; Apply forcing (producer)\u00a0<\/em>and click the box by the <em>phytoplankton<\/em> group. On the pop-up form, click <em>1: PP<\/em> and the arrow pointing right to apply the forcing function. This will link the primary production anomaly from the time series file with the phytoplankton group, and force its productivity over time.\r\n\r\nNow go back and run Ecosim. Is the system stable? What does the enrichment do through the food web? Dampening or amplification?\r\n\r\nNext, change the vulnerability multipliers <em>(Ecosim &gt; Input &gt; Vulnerabilities)<\/em> for all groups to 10 (more top-down control, further from carrying capacity). Run Ecosim again. What happens?\r\n\r\nNext set the vulnerability multiplier for\u00a0<em>zooplankton<\/em> to <em>phytoplankton<\/em> to 1. Run and study\r\n\r\nThen, also set <em>planktivores<\/em> to <em>zooplankton<\/em> multiplier to 1. What happens?\r\n\r\nYou now probably have a stable system with some amplification through the food web, but stable! In this configuration, the lower trophic levels were at carrying capacity when the model run started (but <em>mackerel<\/em> were further from their carrying capacity). The primary production anomaly (+10%) we read in increased the productivity at the lower to intermediate trophic levels (+20%) while <em>mackerel<\/em>, which were further from their carrying capacity (multiplier of 10) increased even more (28%).\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox shaded\">You can download the Ecopath model for this tutorial from <a href=\"https:\/\/ln5.sync.com\/dl\/c7e6f5140\/prpvwh4n-zmtmjmb3-b5vgdzz2-qvbxw9x3\">this link<\/a>.<\/div>\r\n<h2>Quiz<\/h2>\r\n[h5p id=\"3\"]","rendered":"<p style=\"font-weight: 400\">Studies have indicated that fishing pressure on prey fish (planktivores) can have larger impact on their predators (piscivores) than on the prey fish.<\/p>\n<p style=\"font-weight: 400\">Construct a simple ecosystem model as a simplified version of the Anchovy Bay model to study this closer. The model can be a straight food chain, e.g., with the following functional groups and parameters.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4051\" src=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12.png\" alt=\"\" width=\"3326\" height=\"356\" srcset=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12.png 3326w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-300x32.png 300w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-1024x110.png 1024w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-768x82.png 768w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-1536x164.png 1536w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-2048x219.png 2048w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-65x7.png 65w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-225x24.png 225w, https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-content\/uploads\/sites\/1902\/2023\/12\/Screenshot-2025-01-23-at-13.55.12-350x37.png 350w\" sizes=\"auto, (max-width: 3326px) 100vw, 3326px\" \/><\/p>\n<p>Create a new model <em>Menu &gt; File &gt; New model<\/em> and name it (e.g., &#8220;Food chain&#8221;). The model will be saved as a database with <em>.ewemdb<\/em> extension. Go to <em>Ecopath &gt; Input &gt; Basic input &gt; Define groups<\/em> and click <em>Insert<\/em> four times. In the <em>Group name<\/em> column, enter the first four group names from the table below. (Detritus will already be there). \u00a0Make <em>Phytoplankton<\/em> a <em>Producer<\/em>. \u00a0[While here, change the default colours to <em>Random<\/em>]. Click <em>OK<\/em>.<\/p>\n<p style=\"font-weight: 400\">Enter the following parameters on the <em>Ecopath &gt; Input &gt; Basic input<\/em> form, (cut\/paste works from Excel to EwE, but probably not from the table below)<\/p>\n<table class=\"aligncenter\" style=\"border-collapse: collapse;width: 60.143442%;height: 108px\">\n<tbody>\n<tr style=\"height: 18px\">\n<td style=\"width: 6.702574%;height: 18px\"><strong>Group<\/strong><\/td>\n<td style=\"width: 15.339113%;text-align: center;height: 18px\"><strong>Biomass (t km<sup>-2<\/sup>)<\/strong><\/td>\n<td style=\"width: 11.71981%;text-align: center;height: 18px\"><strong>P\/B (year<sup>-1<\/sup>)<\/strong><\/td>\n<td style=\"width: 10.159927%;text-align: center;height: 18px\"><strong>P\/Q<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 6.702574%;height: 18px\">Mackerel<\/td>\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">0.5<\/td>\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">0.5<\/td>\n<td style=\"width: 10.159927%;text-align: center;height: 18px\">0.2<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 6.702574%;height: 18px\">Anchovy<\/td>\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">2<\/td>\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">1<\/td>\n<td style=\"width: 10.159927%;text-align: center;height: 18px\">0.25<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 6.702574%;height: 18px\">Zooplankton<\/td>\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">2<\/td>\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">10<\/td>\n<td style=\"width: 10.159927%;text-align: center;height: 18px\">0.3<\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 6.702574%;height: 18px\">Phytoplankton<\/td>\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">5<\/td>\n<td style=\"width: 11.71981%;text-align: center;height: 18px\">100<\/td>\n<td class=\"shaded\" style=\"width: 10.159927%;text-align: center;height: 18px\"><\/td>\n<\/tr>\n<tr style=\"height: 18px\">\n<td style=\"width: 6.702574%;height: 18px\">Detritus<\/td>\n<td style=\"width: 15.339113%;text-align: center;height: 18px\">10<\/td>\n<td class=\"shaded\" style=\"width: 11.71981%;text-align: center;height: 18px\"><\/td>\n<td class=\"shaded\" style=\"width: 10.159927%;text-align: center;height: 18px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div>\n<p class=\"Default\"><span lang=\"EN-GB\">Diets: A straight chain as in the figure. Enter them at the <em>Ecopath &gt; Input &gt; Diet composition<\/em> form. <\/span><\/p>\n<\/div>\n<div>\n<p class=\"Default\"><span lang=\"EN-GB\">Fisheries: there&#8217;s already a fleet defined by default, so go to <em>Ecopath &gt; Fishery &gt; Landings<\/em><em>,<\/em> and enter a landing of 0.1 t \u00b7 km<sup>-2 <\/sup>\u00b7 year<sup>-1 <\/sup>of <em>mackerel<\/em>. \u00a0[Yes, we give units, units are important and best left explicit!]<\/span><\/p>\n<p>Balance the model (<em>Ecopath &gt; Output &gt; Basic estimates<\/em>) and examine the outputs. Make sure the model is balanced! If not (check your input data), balance it!<\/p>\n<p>Open a new scenario in Ecosim by going to <em>Ecosim &gt; Output &gt; Run Ecosim<\/em>, and name it, (e.g, &#8220;Scene 1&#8221;). Click <em>Run<\/em>. What do you see? Why is it flatlining?<\/p>\n<p>The two principal ways of forcing Ecosim are through fishing effort (by fishing fleet) or through fishing mortality (by functional group).<\/p>\n<div class=\"textbox shaded\">In this tutorial, we change fishing pressure over time. Internally, Ecosim read the fishing pressure from the effort time plot. It knows the Ecopath baseline fishing mortality = catch \/ biomass \u00a0\u2013 with symbols and units, <em>F<\/em> (year<sup>-1<\/sup>) = <em>C<\/em> (t km<sup>-2<\/sup> year<sup>-1<\/sup>) \/ <em>B<\/em> (t km<sup>-2<\/sup>). <span style=\"text-align: initial;font-size: 1em\">When effort changes, Ecosim changes fishing mortality (F) proportionally for all the groups that are caught by the given fleet.<\/span><\/div>\n<p>First try to increase fishing for <em>mackerel<\/em> over time by doubling fishing effort for the fleet catching mackerel by drawing an increasing shape at <em>Ecosim &gt; Input &gt; Fishing Effort<\/em>. Run Ecosim again, what happens now. Who increases, who doesn&#8217;t, why? Discuss cascading effects, does it occur, and how does it propagate through the food chain?<\/p>\n<p>You can see the results in more detail if you go to\u00a0<em>Ecosim &gt; Output &gt; Ecosim results<\/em>, and click\u00a0<em>Group<\/em>, landed by. Here you can see how much the biomasses of <em>mackerel<\/em> and <em>anchovy<\/em> changed over time (by default it compares the first year of a run with the last year, though you can change that to get results for any time period). Does the increased catch of <em>mackerel<\/em> cause amplification or dampening through the food web?<\/p>\n<\/div>\n<div>\n<div class=\"textbox shaded\">To easily compare different runs, you can click\u00a0<em>Show multiple runs<\/em> on the <em>Ecosim &gt; Output &gt; Run Ecosim<\/em> form. \u00a0Also note that you have different options for what to display on this form (though the standard is what is most often used).<\/div>\n<p>You can study the results in more details if you go to\u00a0<em>Ecosim &gt; Output &gt; Group plots<\/em>. These plots are very informative, showing time dynamics of what happens with fishing, predators and prey for each group.<\/p>\n<div class=\"textbox shaded\">If you have a lot of small plots (maybe 13) when you open the <em>Ecosim &gt; Output &gt; Group plots<\/em> form, click the <em>Show plots <\/em>form and un-check the plots from <em>Total discards<\/em> on. You&#8217;ll then have nine plots in a 3 x 3 matrix.<\/div>\n<p>Ecosim predictions are especially sensitive to vulnerability multiplier settings <em>(Ecosim &gt; Input &gt; Vulnerabilities). <\/em>Vulnerability multipliers are the key foraging arena parameter, they capture density-dependent effects. \u00a0Think of it like this, the vulnerability multiplier expresses how many times a given predator can increase the predation mortality it is causing on its prey, if the predator abundance were to increase to its carrying capacity. A vulnerability multiplier of 1 thus tells us that the predator is at its carrying capacity \u2013 and hence can increase no more unless its prey becomes more abundant. That implies &#8220;bottom-up&#8221; control. Conversely, high vulnerability multipliers (e.g., 100) tell us that the predator is far from carrying capacity \u00a0\u2013 that&#8217;s &#8220;top-down&#8221; control.<\/p>\n<div class=\"textbox textbox--sidebar shaded\">With the default vulnerability multiplier of 2, a predator can at most double the predation mortality it&#8217;s causing on its prey.<\/div>\n<p>Go to the <em>Ecosim &gt; Input &gt; Vulnerabilities <\/em>form, and set the vulnerability multiplier for <em>mackerel<\/em>\u00a0eating <em>anchovy<\/em> to 5, run the model again, what happens. Reset the vulnerability multiplier to 2.<\/p>\n<p>Try setting the vulnerability multiplier for <em>anchovy <\/em>eating <em>zooplankton<\/em> to 5. Run again. What happens now? Does <em>anchovy<\/em>\u00a0behave much differently from when using the default vulnerability multiplier?<\/p>\n<p>Finally, try setting the vulnerability multipliers for all three interactions to 100. Run again. This setting turns the model into a <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/lotka-volterra\/\">Lotka-Volterra<\/a> model, which tends to be unstable and produce cycles. \u00a0Lotka-Volterra models also tend to self-simplify where groups die out. Did that happen in your model?<\/p>\n<p>Reset your model to default vulnerability multipliers (2).<\/p>\n<p>As you can tell from the above, the vulnerability multipliers are important, and we will return to that later when discussing the <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/foraging-arena-theory\/\">foraging arena<\/a> and time series fitting, which indeed has <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/vulnerability-and-vulnerability-multipliers\/\">vulnerability multipliers<\/a>\u00a0and <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/density-dependence-carrying-capacity-and-vulnerability-multipliers\/\">density-dependence<\/a> as key factors.<\/p>\n<p>Now let&#8217;s try fishing some <em>anchovy;<\/em>\u00a0do the following<\/p>\n<ul>\n<li>Go to <span lang=\"EN-GB\"><em>Ecopath &gt; Input &gt; Fishery &gt; Fleets, Define fleets<\/em><\/span><em>\u00a0<\/em>and add a second fleet, name it, e.g., gill netters.<\/li>\n<li>Give the fleet a landing (<em>Ecopath &gt; Input &gt; Fishery &gt; Landings)<\/em> of 0.4 t km<sup>-2<\/sup> year<sup>-1\u00a0<\/sup>of anchovy.<\/li>\n<li>On\u00a0<em><span lang=\"EN-GB\">Ecosim &gt; Input &gt; Fishing effort,\u00a0<\/span><\/em><span lang=\"EN-GB\">click\u00a0<em>Reset All<\/em><\/span><\/li>\n<li>Run Ecosim. It should flatline.<\/li>\n<li>Go back to <em><span lang=\"EN-GB\">Ecosim &gt; Input &gt; Fishing effort,\u00a0<\/span><\/em><span lang=\"EN-GB\">and double the fishing effort for your new fleet<\/span><\/li>\n<\/ul>\n<p>Run Ecosim again, what happens?<\/p>\n<p>Examine the group plot (<em>Ecosim &gt; Output &gt; Ecosim group plots<\/em> for <em>anchovy<\/em>, and note how the <em>anchovy <\/em>catch of the second fleet doubled along with the fishing mortality for the <em>anchovy<\/em>. Then check the <em>Mortality: total, fishing, predation<\/em> plot. Here, from the baseline to the red line represents predation mortality, from the red to the blue line is fishing mortality, and from the blue to the black line is total mortality. What happened to predation mortality when fishing increased?<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Feeding time \u2013 variable or fixed?<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Fish tend to have diurnal patterns, often to reduce predation risk while still being able to feed. If you dive at a reef around dusk, you may see a flurry of activities, finely tuned to eat while not being eaten. This may be of less concern for top predators and marine birds who more likely will spend more time feeding when food abundance is low. We can consider this in Ecosim (and Ecospace) with the relative feeding time parameter at <em>Ecosim &gt; Input &gt; Group info &gt; F<\/em><i>eeding time adjust. rate. <\/i>The default setting for this parameter is 0.5 (range [0,1]), which will allow a predator to change feeding time as needed.<\/p>\n<p>Check that your model flatlines. The go to\u00a0<em>Ecosim &gt; Input &gt; Fishing effort,\u00a0<\/em>click on the first fleet at the bottom panel, then click\u00a0<em>Set to value<\/em> and enter 1.1 to increase fishing effort for the fleet catching <em>anchovy<\/em> with 10%. Run Ecosim. What happens? \u00a0Is the model stable?<\/p>\n<p>Next, remove feeding time adjustment, go to <em>Ecosim &gt; Input &gt; Group info &gt; Feed<\/em><i>ing time adjust. rate<\/i> and set this parameter to 0 for all groups. Run Ecosim again, what happens now?<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox shaded\">\n<p>The general advice for <em>feeding time adjustment rate <\/em> is to turn it off for all groups apart from marine mammals, birds, top predators and very young stanzas. When using foraging time adjustment, the <em>max. relative feeding time<\/em> may have to be set to more than the default of 2.<\/p>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Stable state?<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Reset the fishing mortality and any other parameters you may have changed in your model. Do an Ecosim run and check that it flatlines.<\/p>\n<div><\/div>\n<p>Go back to\u00a0<em>Ecopath &gt; Input &gt; Other production<\/em> and set the <em>biomass accumulation rate<\/em> to -0.1 for <em>mackerel<\/em>. Go back to Ecosim, and run it again, (you&#8217;ll be asked if you want to save your Ecopath model, just do that).<\/p>\n<p>The negative biomass accumulation term tells Ecosim that the fishing mortality on <em>mackerel <\/em>at the Ecopath baseline wasn&#8217;t sustainable. (You can zoom in on the <em>Ecosim &gt; Output &gt; Run Ecosim<\/em> plot to see the details for the first 15 years or so better). Notice the initial decline in mackerel, and the simple but clear cascading impacts through the <strong>food chain<\/strong>.<\/p>\n<p>Notice the initial cascading, and that the system after some years stabilizes to a new equilibrium that is different from the original. Which groups decreased, which increased?<\/p>\n<p>Does this make sense?<\/p>\n<p>A lesson is that if the baseline Ecopath model has a biomass accumulation term, the system is not in stable state and we may expect a new stable state to emerge<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox shaded\">\n<p>In the more diverse <strong>food web<\/strong> of <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/welcome-to-anchovy-bay\/\">Anchovy Bay<\/a>, the biomass accumulation term caused seals to decrease asymptotically and whales to increase asymptotically.<\/p>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Paradox of enrichment<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p><span style=\"text-align: initial\">The term <a href=\"https:\/\/en.wikipedia.org\/wiki\/Paradox_of_enrichment\">paradox of enrichment<\/a> was coined and developed by <a href=\"https:\/\/en.wikipedia.org\/wiki\/Michael_Rosenzweig\">Michael Rosenzweig<\/a> in the early 1970s, and is used to describe how an increase in system productivity may cause a system to become unstable. In a simple system, it can be that food supply make a species like rabbit overabundant causing its population to increase, followed by an increase in its predator, e.g, lynx. The predator population may then overshoot, causing the prey to crash, and it can potentially lead to local extinctions. \u00a0The term is called a paradox as seems unreal that an increase in primary productivity should have such drastic effects.<\/span><\/p>\n<p>But standard <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/lotka-volterra\/\">Lotka-Volterra<\/a> models indeed behave like that. The <a href=\"https:\/\/pressbooks.bccampus.ca\/ewemodel\/chapter\/foraging-arena-theory\/\">foraging arena theory<\/a> provides us with an explanation why this paradox is not a reflection of reality.<\/p>\n<p>We can explore this with the model we just built. \u00a0Open your model, make an Ecosim run and check that the model flatlines and that the vulnerabilities are at default (2). Download a time series file (<em>PP paradox.csv<\/em>) from <a href=\"https:\/\/ln5.sync.com\/dl\/5da4236d0\/hze3z66x-4u7i7esr-rdudusir-7feweb4b\">this link<\/a>. Go to\u00a0<em>Ecosim &gt; Input &gt; Time series &gt; Import<\/em> and browse to import the <em>PP paradox.csv<\/em> file. This will import a forcing function with relative primary production values. Go to <em>Ecosim &gt; Input &gt; Forcing functions &gt; Apply forcing (producer)\u00a0<\/em>and click the box by the <em>phytoplankton<\/em> group. On the pop-up form, click <em>1: PP<\/em> and the arrow pointing right to apply the forcing function. This will link the primary production anomaly from the time series file with the phytoplankton group, and force its productivity over time.<\/p>\n<p>Now go back and run Ecosim. Is the system stable? What does the enrichment do through the food web? Dampening or amplification?<\/p>\n<p>Next, change the vulnerability multipliers <em>(Ecosim &gt; Input &gt; Vulnerabilities)<\/em> for all groups to 10 (more top-down control, further from carrying capacity). Run Ecosim again. What happens?<\/p>\n<p>Next set the vulnerability multiplier for\u00a0<em>zooplankton<\/em> to <em>phytoplankton<\/em> to 1. Run and study<\/p>\n<p>Then, also set <em>planktivores<\/em> to <em>zooplankton<\/em> multiplier to 1. What happens?<\/p>\n<p>You now probably have a stable system with some amplification through the food web, but stable! In this configuration, the lower trophic levels were at carrying capacity when the model run started (but <em>mackerel<\/em> were further from their carrying capacity). The primary production anomaly (+10%) we read in increased the productivity at the lower to intermediate trophic levels (+20%) while <em>mackerel<\/em>, which were further from their carrying capacity (multiplier of 10) increased even more (28%).<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox shaded\">You can download the Ecopath model for this tutorial from <a href=\"https:\/\/ln5.sync.com\/dl\/c7e6f5140\/prpvwh4n-zmtmjmb3-b5vgdzz2-qvbxw9x3\">this link<\/a>.<\/div>\n<h2>Quiz<\/h2>\n<div id=\"h5p-3\">\n<div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-3\" class=\"h5p-iframe\" data-content-id=\"3\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"Tutorial: Fishing piscivores\"><\/iframe><\/div>\n<\/div>\n","protected":false},"author":1909,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[49],"contributor":[],"license":[],"class_list":["post-2249","chapter","type-chapter","status-publish","hentry","chapter-type-numberless"],"part":411,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/pressbooks\/v2\/chapters\/2249","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/wp\/v2\/users\/1909"}],"version-history":[{"count":25,"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/pressbooks\/v2\/chapters\/2249\/revisions"}],"predecessor-version":[{"id":4462,"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/pressbooks\/v2\/chapters\/2249\/revisions\/4462"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/pressbooks\/v2\/parts\/411"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/pressbooks\/v2\/chapters\/2249\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/wp\/v2\/media?parent=2249"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/pressbooks\/v2\/chapter-type?post=2249"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/wp\/v2\/contributor?post=2249"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ewemodel\/wp-json\/wp\/v2\/license?post=2249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}