{ Analytica Model Basicmodel, encoding="UTF-8" } SoftwareVersion 6.2.0 { System Variables with non-default values: } Time := Sequence( 0, 100, 1 ) Description Time: Dynamic simulation periods are specified in Time's definition. This is usually a list of numbers or labels, typically in some unit of time (days, weeks, months, etc.). Use the ÒDynamic()Ó function in your variables to perform dynamic simulation. Units Time: Years NumberWidth := 7 SampleSize := 500 DistribSize := 30 TypeChecking := 1 Checking := 1 SaveOptions := 2 SaveValues := 0 DistSteps := 1 RandomType := 2 Editor := 0 OleAutoRecompute := 0 {!40300|Sys_DomainSelfIndex := 1} {!40400|Sys_AllNullTreatment := 1} {!50016|PlusOnTextReturnsNaN := 0} {!50400|Sys_UseLegacyColors := 1} {!-50299|DiagramColor Model: 65535,65535,65535} {!-50299|DiagramColor Module: 65535,65535,65535} {!-50299|DiagramColor LinkModule: 65535,65535,65535} {!-50299|DiagramColor Library: 65535,65535,65535} {!-50299|DiagramColor LinkLibrary: 65535,65535,65535} {!-50299|DiagramColor Form: 65535,65535,65535} NodeInfo FormNode: 1,0,0,,0,0,,,,1,,,0 NodeColor Text: 65535,65535,65535 {!-60000|Attribute AcpStyles} Attribute Reference Attribute Date_bough Attribute The Attribute Expert Attribute Assumptions AskAttribute Expert,Function,Yes AskAttribute Assumptions,Function,Yes AskAttribute Reference,Module,Yes AskAttribute Expert,Module,Yes AskAttribute Assumptions,Module,Yes AskAttribute Value,Variable,Yes AskAttribute Check,Variable,Yes AskAttribute Reference,Variable,Yes AskAttribute Expert,Variable,Yes AskAttribute Assumptions,Variable,Yes Model Basicmodel Title: Basic model Description: This model evaluates the dynamics of a beluga whale population (without gender-specificity or density dependence). Author: Pierre Richard, DFO Science, Winnipeg~ Richard Sonnenblick, Ph.D., Enrich Consulting, Inc. Date: Fri, Mar 17, 1995 5:52 PM DefaultSize: 44,20 DiagState: 1,6,11,768,387,1 WindState: 2,102,90,527,309 NodeColor: -1,-6554,-19660 DiagramColor: 32348,-9825,-8739 FontStyle: Arial, 13 FileInfo: 0,Model Basicmodel,2,2,0,0,C:\Users\henri\Documents\Magic Briefcase\Ana web site\Ana case studies\Case studies published\Whales\Beluga basic.ANA PageSetup: (00030000004800480000000002D80228FFE1FFE202F902460347052803FC00020000004800480000000002D80228000100000064000000010003030300000001270F000100010000000000000000000000006808001901900000000000000000000000000000000000000000000000000000000000000000) Module Beluga_population_mo Title: Beluga population model Author: rich Date: Tue, Mar 16, 1999 9:38 AM DefaultSize: 48,24 NodeLocation: 372,356,1 NodeSize: 60,28 DiagState: 1,2,97,513,297,17 WindState: 2,102,90,476,224 NodeColor: 39321,58983,65535 NumberFormat: 1,F,7,3,0,0 Variable Population_size Title: Population size Units: whales Description: The number of whales over time. The number of whales removed by native hunting is deducted from the total population in each period. Definition: Dynamic(Current_population_s, Max_(0, ~ Self[Time-1] * (1 + Rmax1*(1 - (Self[Time-1]/K)^Z)) - Removals)) NodeLocation: 208,160,1 NodeSize: 48,27 NodeInfo: 1,1,1,1,1,1,0 WindState: 2,328,194,527,386 ValueState: 2,0,0,1024,667,1,CONF NodeColor: 39321,52431,65535 GraphSetup: Graphtool:0~ Distresol:10~ Diststeps:1~ Cdfresol:5~ Cdfsteps:1~ Symbolsize:6~ Baroverlap:0~ Linestyle:10~ Frame:1~ Grid:1~ Ticks:1~ Mesh:1~ Scales:1~ Rotation:0~ Tilt:0~ Depth:70~ Frameauto:1~ Showkey:1~ Xminimum:0~ Xmaximum:10~ Yminimum:0~ Ymaximum:1000~ Zminimum:1~ Zmaximum:5~ Xintervals:0~ Yintervals:100~ Includexzero:0~ Includeyzero:0~ Includezzero:0~ Statsselect:[1,1,1,1,1,0,0,0]~ Probindex:[5m,2.5m,5m,7.5m,9.5m]~ FontStyle: Arial, 3 Objective Total_animals Title: Total Animals Description: The total population of whales of all ages. Definition: Population_size NodeLocation: 320,160,1 NodeSize: 48,28 WindState: 2,102,90,476,224 ValueState: 2,291,142,517,448,1,CONF Aliases: FormNode Total_whales1 GraphSetup: Graphtool:0~ Distresol:10~ Diststeps:1~ Cdfresol:5~ Cdfsteps:1~ Symbolsize:6~ Baroverlap:0~ Linestyle:10~ Frame:2~ Grid:3~ Ticks:2~ Mesh:1~ Scales:1~ Rotation:45~ Tilt:0~ Depth:70~ Frameauto:1~ Showkey:1~ Xminimum:0~ Xmaximum:10~ Yminimum:0~ Ymaximum:16K~ Zminimum:1~ Zmaximum:500~ Xintervals:10~ Yintervals:20~ Includexzero:0~ Includeyzero:0~ Includezzero:0~ Statsselect:[1,1,1,1,0,0,0,0]~ Probindex:[0,0.01,0.05,0.1,0.25,0.33,0.5,0.67,0.75,0.9,0.95,0.99,1]~ FontStyle: Arial, 2 ReformVal: [Time,Annual_catch] NumberFormat: 1,I,7,3,0,0 OleGraph: 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Decision Annual_catch Title: Annual catch Units: whales/y Description: Whale catch limit options under consideration in the risk analysis Definition: Table(Self)(~ 0,20,40,60) IndexVals: ['No hunting','Catch 20','Catch 40','Catch 60'] NodeLocation: 64,32,1 NodeSize: 56,24 NodeInfo: 1,1,1,1,1,1,0,,1, WindState: 2,0,0,498,311 DefnState: 2,396,145,283,224,0,MIDM ValueState: 2,40,50,416,303,0,MIDM Aliases: FormNode Whales_captured_by_p ReformDef: [Time,Self] Objective Lambda Title: rate of increase Description: the rate of oncrease in whales from one time period to the next Definition: Dynamic(0,Total_animals[Time]/Total_animals[Time-1]) NodeLocation: 448,160,1 NodeSize: 48,24 WindState: 2,0,0,476,224 ValueState: 2,0,0,1024,623,1,MIDM GraphSetup: Graphtool:0~ Distresol:10~ Diststeps:1~ Cdfresol:5~ Cdfsteps:1~ Symbolsize:6~ Baroverlap:0~ Linestyle:10~ Frame:1~ Grid:1~ Ticks:1~ Mesh:1~ Scales:1~ Rotation:45~ Tilt:0~ Depth:70~ Frameauto:0~ Showkey:1~ Xminimum:0~ Xmaximum:60~ Yminimum:0.96~ Ymaximum:1.04~ Zminimum:1~ Zmaximum:9~ Xintervals:6~ Yintervals:16~ Includexzero:0~ Includeyzero:0~ Includezzero:0~ Statsselect:[1,1,1,1,1,0,0,0]~ Probindex:[0,0.01,0.05,0.1,0.25,0.33,0.5,0.67,0.75,0.9,0.95,0.99,1]~ FontStyle: Arial, 2 ReformVal: [Time,Annual_catch] NumberFormat: 1,D,4,2,0,0 Module Prob_bands_mechanics Title: Prob Bands Mechanics Author: Daniel Date: Wed, Nov 21, 2001 9:23 AM DefaultSize: 48,24 NodeLocation: 448,224,1 NodeSize: 48,24 NodeInfo: 1,1,1,1,1,1,0,0,0,0 DiagState: 1,5,322,523,267,17 Decision Number_of_prob_bands Title: Number of Prob Bands for Total Animals Description: Enter the number of probability bands to be displayed in "Probability Bands for Total Animals." Definition: 5 NodeLocation: 64,56,1 NodeSize: 48,38 WindState: 1,93,34 Aliases: FormNode Number_of_prob_band1 Decision Prob_band_values_for Title: Prob Band Values for Total Animals Description: Enter the probability bands to be displayed in "Probability Bands for Total Animals." Definition: Table(Number_ta_bands_inde)(~ 0,0.01,0.05,0.25,0.5) IndexVals: ['item 1','item 2'] NodeLocation: 64,168,1 NodeSize: 48,28 WindState: 2,0,-23,1024,623 DefnState: 2,285,187,306,199,0,MIDM ValueState: 1,551,193,416,303,0,MIDM Aliases: FormNode Prob_band_values_fo1 ReformDef: [Self,Number_ta_bands_inde] Index Number_ta_bands_inde Title: Number TA Bands Index Definition: Sequence(1, Number_of_prob_bands, 1) NodeLocation: 64,232,1 NodeSize: 48,24 WindState: 1,0,-23 ValueState: 1,232,242,416,303,0,MIDM Index Desired_ta_prob_band Title: Desired TA Prob Bands Definition: 100*slice(Prob_band_values_for, Number_ta_bands_inde, sequence(1, Number_of_prob_bands)) & '%' NodeLocation: 168,232,1 NodeSize: 48,24 WindState: 2,0,-23,1024,653 ValueState: 1,580,3,416,303,0,MIDM Variable Band_values Title: Band Values Definition: slice(Prob_band_values_for, Number_ta_bands_inde, Sequence(1, Number_of_prob_bands)) NodeLocation: 184,112,1 NodeSize: 48,24 WindState: 1,500,-2 ValueState: 1,178,7,416,281,0,MIDM Variable Desired_bands Title: Desired Bands Definition: Slice(Band_values, Band_values, Cumulate(1, Desired_ta_prob_band)) NodeLocation: 312,112,1 NodeSize: 48,24 WindState: 1,295,375 ValueState: 1,152,162,416,303,0,MIDM Objective Probability_bands_fo Title: Probability Bands for Total Animals Description: Displays the user-selected probability bands for "Total Animals." Definition: Getfract(Total_animals, Desired_bands) NodeLocation: 440,112,1 NodeSize: 48,29 ValueState: 2,35,115,713,467,1,MIDM Aliases: FormNode Probability_bands_f1 GraphSetup: Graphtool:0~ Distresol:10~ Diststeps:1~ Cdfresol:5~ Cdfsteps:1~ Symbolsize:8~ Baroverlap:0~ Linestyle:10~ Frame:1~ Grid:3~ Ticks:1~ Mesh:1~ Scales:1~ Rotation:45~ Tilt:0~ Depth:70~ Frameauto:1~ Showkey:1~ Xminimum:0~ Xmaximum:100~ Yminimum:1000~ Ymaximum:9000~ Zminimum:1~ Zmaximum:5~ Xintervals:10~ Yintervals:10~ Includexzero:0~ Includeyzero:0~ Includezzero:0~ Statsselect:[1, 1, 1, 1, 1, 0, 0, 0]~ Probindex:[5%, 25%, 50%, 75%, 95%]~ FontStyle: Arial, 2 ReformVal: [Time,Desired_ta_prob_band] NumberFormat: 1,I,7,2,0,0 Close Prob_bands_mechanics Module Threshold_mechanics Title: Threshold Mechanics Author: daniel Date: Tue, Dec 18, 2001 9:27 AM DefaultSize: 48,24 NodeLocation: 448,104,1 NodeSize: 48,24 NodeInfo: 1,1,1,1,1,1,0,0,0,0 DiagState: 1,3,281,514,160,17 Chance Total_animals_thresh Title: Total Animals Threshold Level Units: # of Animals Description: Enter a threshold for Total Animals. The probability of the population dropping below this level will then be calculated. Definition: 1000 NodeLocation: 72,96,1 NodeSize: 56,36 WindState: 2,0,0,482,299 Aliases: FormNode Total_animals_thres1 Variable Above_threshold Title: Above Threshold Description: For each year and run, returns 1 if above threshold; 0 otherwise Definition: Total_animals>Total_animals_thresh NodeLocation: 200,96,1 NodeSize: 48,24 WindState: 2,0,0,469,310 ValueState: 1,0,-23,1024,667,0,MIDM GraphSetup: Graphtool:0~ Distresol:10~ Diststeps:1~ Cdfresol:5~ Cdfsteps:1~ Symbolsize:6~ Baroverlap:0~ Linestyle:1~ Frame:1~ Grid:1~ Ticks:1~ Mesh:1~ Scales:1~ Rotation:45~ Tilt:0~ Depth:70~ Frameauto:1~ Showkey:1~ Xminimum:0~ Xmaximum:1~ Yminimum:0~ Ymaximum:1~ Zminimum:0~ Zmaximum:1~ Xintervals:0~ Yintervals:0~ Includexzero:0~ Includeyzero:0~ Includezzero:0~ Statsselect:[1,1,1,1,1,0,0,0]~ Probindex:[0.05,0.25,0.5,0.75,0.95]~ ReformVal: [Time,Annual_catch] NumberFormat: 1,F,7,2,0,0 Variable Cumulative Title: Cumulative Description: adds the 1s from year to year in each run Definition: Dynamic( Above_threshold, Cumulative[Time-1]+Above_threshold ) NodeLocation: 328,96,1 NodeSize: 48,24 WindState: 1,0,-23 ValueState: 2,0,-23,1024,623,1,MIDM ReformVal: [Time,Annual_catch] Objective Probability_populati Title: Probability population greater than threshold Description: Displays the probability that for the specified Annual Catch Scenario, the total animal population will drop below the threshold level in any year up to and including the current one. Does so by first determining if cumulative > 0 in each run and returning a 1so (0 otherwise) and then calculating the mean of runs = sum of 1s/ #runs Definition: Mean(Cumulative > 0) NodeLocation: 456,96,1 NodeSize: 48,46 WindState: 2,0,-23,1024,623 ValueState: 2,0,-23,1025,624,1,MIDM Aliases: FormNode Probability_of_drop1 GraphSetup: Graphtool:0~ Distresol:10~ Diststeps:1~ Cdfresol:5~ Cdfsteps:1~ Symbolsize:6~ Baroverlap:0~ Linestyle:10~ Frame:1~ Grid:3~ Ticks:1~ Mesh:1~ Scales:1~ Rotation:45~ Tilt:0~ Depth:70~ Frameauto:2~ Showkey:1~ Xminimum:0~ Xmaximum:100~ Yminimum:0~ Ymaximum:1~ Zminimum:1~ Zmaximum:9~ Xintervals:10~ Yintervals:10~ Includexzero:0~ Includeyzero:0~ Includezzero:0~ Statsselect:[1,1,1,1,1,0,0,0]~ Probindex:[0.05,0.25,0.5,0.75,0.95]~ FontStyle: Arial, 2 ReformVal: [Time,Annual_catch] NumberFormat: 1,%,7,0,0,0 Close Threshold_mechanics Chance Loss_rate Title: Loss rate Description: Fraction of whale hunts where a whale is lost (example based on estimates from certain beluga populations) Definition: Triangular( 0, 0.085, 0.32 ) NodeLocation: 328,32,1 NodeSize: 48,24 WindState: 2,102,90,476,224 Aliases: FormNode Losses1 Library Distribution_variati Title: Distribution Variations Description: This library contains various functions for defining standard distributions using different sets of parameters. Author: Lonnie Chrisman, Ph.D.~ Lumina Decision Systems Date: Wed, Oct 20, 2004 12:18 AM DefaultSize: 48,24 NodeLocation: 328,264,1 NodeSize: 48,24 NodeInfo: 1,1,1,1,1,1,0,0,0,0 DiagState: 1,51,122,438,226,17 WindState: 2,448,297,476,224 FontStyle: Arial, 15 Function Max_(x,y) Title: Max_ Description: A function to take the maximum of two numbers Definition: if x= 1. Otherwise the sample stddev may vary considerably from the desired. Definition: var med := mean*EXP(-(SQRT(LN((Stddev/Mean)^2+1))^2)/2);~ var gsdev := EXP(SQRT(LN((Stddev/Mean)^2+1)));~ lognormal(med,gsdev) NodeLocation: 120,56,1 NodeSize: 92,20 WindState: 2,163,35,501,309 Function Pert(min,mode,max) Title: Pert(min,mode,max) Description: A Pert-distribution, which is a beta distribution defined by a given min, mode, and max. Definition: var mean := (min + 4*mode + max ) / 6;~ var a :=6* (mean - min) / (max-min);~ var b := 6*(max - mean) / (max-min);~ beta(a,b,min,max) NodeLocation: 320,56,1 NodeSize: 96,20 WindState: 2,508,152,476,224 Function Gamma_m_sd(m,sd : positive) Title: Gamma_m_sd(m,sd) Description: The gamma distribution, parameterized by the theoretical mean and std.dev. of the target distribution.~ ~ Uses Method of Moments. Reference:~ Morgan, M.G., and Henrion, M., "Uncertainty", 1990, p. 93. Definition: var a := (m/sd)^2;~ var b := sd^2/m;~ gamma(a,b) NodeLocation: 120,120,1 NodeSize: 92,20 WindState: 2,54,466,476,224 Chance Msyl Title: MSYL Definition: lognormal_m_SD(6000,300) NodeLocation: 304,192,1 NodeSize: 48,24 WindState: 2,0,0,374,307 Close Distribution_variati Chance Current_population_s Title: Current population size Units: whales Description: Uncertainty distribution of the population numbers of belugas (Example based on estimates from certain populations) Definition: Lognormal( mean:2500, stddev:250) NodeLocation: 56,160,1 NodeSize: 48,29 WindState: 2,452,8,662,272 ValueState: 2,0,-23,760,416,1,PDFP Aliases: FormNode Pop_size1 GraphSetup: Graphtool:0~ Distresol:100~ Diststeps:1~ Cdfresol:5~ Cdfsteps:1~ Symbolsize:6~ Baroverlap:0~ Linestyle:1~ Frame:1~ Grid:1~ Ticks:1~ Mesh:1~ Scales:1~ Rotation:45~ Tilt:0~ Depth:70~ Frameauto:1~ Showkey:0~ Xminimum:1000~ Xmaximum:4000~ Yminimum:0~ Ymaximum:1.6m~ Zminimum:1~ Zmaximum:1~ Xintervals:0~ Yintervals:0~ Includexzero:0~ Includeyzero:0~ Includezzero:0~ Statsselect:[1,1,1,1,1,0,0,0]~ Probindex:[0.05,0.25,0.5,0.75,0.95]~ Chance Rmax1 Title: Rmax Description: Assumed uncertainty distribution of the maximum net growth of a beluga population (example based on estimates from certain beluga populations) Definition: Normal( 0.03, 3m ) NodeLocation: 64,224,1 NodeSize: 48,24 WindState: 2,102,90,476,224 ValueState: 2,0,-23,449,305,1,PDFP Aliases: FormNode Rmax Chance Z Title: z Description: Density dependent function shaping parameter of the Pella-Tomlinsen Modified logisitic model (example based on estimates from certain beluga populations) Definition: Normal( 3., 0.2 ) NodeLocation: 112,272,1 NodeSize: 48,24 WindState: 2,102,90,476,224 ValueState: 2,0,-23,449,305,1,PDFP Aliases: FormNode Z2 Chance K Title: K Description: Carrying capacity of the population (example based on estimates from certain populations) Definition: Lognormal(mean:10000, stddev:500) NodeLocation: 208,240,1 NodeSize: 48,24 WindState: 2,760,434,476,224 ValueState: 2,0,-23,1024,623,1,PDFP Aliases: FormNode K1 Chance Removals Title: removals Description: Number actually removed from the population when loss rate factored in Definition: Annual_catch/(1-Loss_rate) NodeLocation: 208,32,1 NodeSize: 48,24 WindState: 2,0,-23,1025,624 ValueState: 2,72,82,592,382,0,STAT NumberFormat: 1,I,7,2,0,0 Chance Removal_rate Title: removal rate Definition: Removals/Current_population_s NodeLocation: 136,96,1 NodeSize: 48,24 WindState: 2,0,-23,1024,623 ValueState: 2,0,-23,1024,623,0,STAT NumberFormat: 1,F,7,6,0,0 Close Beluga_population_mo FormNode Whales_captured_by_p Title: Whales Captured by Period Definition: 0 NodeLocation: 220,252,1 NodeSize: 132,12 NodeInfo: 1,0,0,1,0,0,0,72,0, NodeColor: 1,65535,65535 Original: Annual_catch FormNode Total_whales1 Title: Total Whales Definition: 1 NodeLocation: 648,84,1 NodeSize: 104,12 NodeInfo: 1,0,0,1,0,0,0,72,0, NodeColor: 19661,48336,65535 Original: Total_animals Text Te2 Description: Population Inputs NodeLocation: 192,124,-1 NodeSize: 176,76 NodeInfo: 1,0,0,1,0,1,1,,1, NodeFont: Arial, 19 Text Te3 Description: Hunting Scenarios NodeLocation: 192,264,-1 NodeSize: 176,56 NodeInfo: 1,0,0,1,1,1,1,,1, NodeFont: Arial, 19 Text Te4 Description: Resulting Populations NodeLocation: 564,76,-1 NodeSize: 188,28 NodeInfo: 1,0,0,1,1,1,1,,1, NodeFont: Arial, 19 FormNode Number_of_prob_band1 Title: Number of Prob Bands for Total Animals Definition: 0 NodeLocation: 580,244,1 NodeSize: 172,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Number_of_prob_bands Text Te1 Description: Choice of Probability Bands NodeLocation: 564,264,-1 NodeSize: 188,56 NodeInfo: 1,0,0,1,1,1,1,,1, NodeFont: Arial, 19 FormNode Prob_band_values_fo1 Title: Prob Band Values for Total Animals Definition: 0 NodeLocation: 580,272,1 NodeSize: 172,16 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Prob_band_values_for FormNode Probability_bands_f1 Title: Probability Bands for Total Animals Definition: 1 NodeLocation: 588,300,1 NodeSize: 164,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Probability_bands_fo FormNode Probability_of_drop1 Title: Probability of Dropping Below Total Animals Threshold Definition: 1 NodeLocation: 568,180,1 NodeSize: 184,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Probability_populati FormNode Total_animals_thres1 Title: Total Animals Threshold Level Definition: 0 NodeLocation: 568,148,1 NodeSize: 184,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Total_animals_thresh Text Choice_of_threshold_ Description: Choice of Threshold population NodeLocation: 564,156,-1 NodeSize: 188,44 NodeInfo: 1,0,0,1,1,1,1,,1, NodeFont: Arial, 19 FormNode Losses1 Title: Losses Definition: 0 NodeLocation: 224,284,1 NodeSize: 128,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Loss_rate FormNode Pop_size1 Title: Pop size Definition: 0 NodeLocation: 200,84,1 NodeSize: 152,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Current_population_s FormNode Rmax Title: Rmax Definition: 0 NodeLocation: 268,116,1 NodeSize: 84,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Rmax1 FormNode Z2 Title: z Definition: 0 NodeLocation: 272,148,1 NodeSize: 80,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: Z FormNode K1 Title: K Definition: 0 NodeLocation: 272,180,1 NodeSize: 80,12 NodeInfo: 1,0,0,1,0,0,0,72,0, Original: K Text Te5 Description: Beluga whale population and catch analysis NodeLocation: 384,24,-1 NodeSize: 368,16 NodeInfo: 1,0,0,1,0,1,1,,1, NodeFont: Arial, 19 Close Basicmodel