Figure 1. King crab fishing districts and sections of Statistical Area Q. 43 Figure 2. Closed water regulations in effect for the Norton Sound commercial crab fishery. 44 0.0 0.4 0.8 Commercial Harvest 6 5 4 3 2 1 1976 1979 1982 1985 1988 1991 1994 1997 2000 2003 2006 2009 2012 2000 2003 2006 2009 2012 2003 2006 2009 2012 2003 2006 2009 2012 0.0 0.4 0.8 Winter Pot Survey 1976 1979 1982 1985 1988 1991 1994 1997 0.0 0.4 0.8 Summer Trawl Survey 1976 1979 1982 1985 1988 1991 1994 1997 2000 0.0 0.4 0.8 Summer Observer Survey 1976 1979 1982 1985 1988 1991 1994 1997 2000 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 3. Observed fishery and survey length compositions by data source for the Norton Sound red king crab stock from 1976-2013. 45 150 15 20 1975 2 4 6 8 1980 500 opefn 150 4 6 8 10 1980 200 opefn 150 0 2 4 6 opefnn 8 1990 2000 2010 dat$iw + 1975 0 50 opefn 2.0 1.0 100 2 Observer survey w pefnn 0.0 50 2010 0 0 Observer survey w pefn 0 2000 year[-c(1, 16, dat$ny + 1)] 500 Winterscefnn pot survey 1990 10 150 300 400 800 10 0 100 2005 200 0 500 wpefn 20 10 0 0 1995 0 scefn 400 800 800 1000 wpefn 600 1985 dat$it + 1975 200 400 100 160 40 10 0 0 200 Winterscefn pot survey Frequency 5 Commercial tefnn Catch scefn 10 20 30 Commercial tefn Catch 0 Frequency tefn 0 0 50 100 0 50 tefn 1.0 50 Frequency Trawl survey 150 2.0 Trawl survey 0.0 Frequency Effective sample size 1990 2000 2010 dat$io + 1975 Figure 4a: Input effective versus estimated implied sample size: (1) frequency (Left), (2) correlation (Center), and (3) time series (Right). (alternative model 0) 46 Effective sample size Trawl survey 150 tefn 50 0 15 20 1975 300 400 2 4 6 8 10 1980 wpefn 400 500 0 6 8 10 0 0 20 40 60 80 100 opefn 1980 opefn 40 80 1.0 0.0 4 Observer survey w pefnn opefn 2.0 Observer survey w pefn 2 2010 0 2 4 6 opefnn 8 10 1990 2000 2010 dat$iw + 1975 120 300 2000 0 0 200 1990 year[-c(1, 16, dat$ny + 1)] 200 400 wpefn 20 10 100 200 400 0 scefn 0 Winterscefnn pot survey 0 0 2005 dat$it + 1975 200 400 500 1995 200 400 200 1985 20 60 100 Winterscefn pot survey Frequency 10 0 4 0 Frequency 5 Commercial tefnn Catch scefn 8 12 Commercial tefn Catch 0 Frequency 100 150 150 50 0 50 tefn 4 2 0 Frequency 6 Trawl survey 1990 2000 2010 dat$io + 1975 Figure 4b: Input effective versus estimated implied sample size: (1) frequency (Left), (2) correlation (Center), and (3) time series (Right). (alternative model 2.i) 47 Effective sample size Trawl survey 200 tefn 50 0 opefn 60 150 1980 wpefn 0 2 4 6 8 80 10 1980 opefn 2 4 6 opefnn 8 2000 2010 1990 2000 2010 dat$iw + 1975 60 0 1990 year[-c(1, 16, dat$ny + 1)] 0 20 opefn 3.0 1.5 40 10 Observer survey w pefnn 0.0 20 8 250 300 Observer survey w pefn 0 6 0 100 wpefn 15 200 4 Winterscefnn pot survey 0 5 Frequency Frequency 50 100 2 2005 0 50 scefn 0 1995 dat$it + 1975 150 200 Winterscefn pot survey 0 1985 250 150 1975 0 100 100 20 10 60 50 15 0 50 scefn 4 0 10 Commercial tefnn Catch 8 12 Commercial tefn Catch 5 20 150 0 Frequency 100 150 150 50 0 50 tefn 4 2 0 Frequency 6 Trawl survey 1990 2000 2010 dat$io + 1975 Figure 4c: Input effective versus estimated implied sample size: (1) frequency (Left), (2) correlation (Center), and (3) time series (Right) (alternative model 2.io). 48 100 110 120 130 0.8 0.2 0.0 90 100 110 120 130 100 110 120 130 lengthclass 90 100 110 120 130 lengthclass 0.6 0.4 0.0 0.2 0.4 0.0 0.2 0.4 0.2 0.0 90 80 Commercial 93-12 Selectivity sc3p 0.6 0.8 1.0 lengthclass sc1p wpotp 0.6 0.8 1.0 lengthclass 80 0.6 trawlpa 80 Commercial 77-92 Selectivity 1.0 90 Winter pot Selectivity 0.8 80 0.4 0.8 0.6 0.4 0.2 0.0 0.0 0.2 0.4 moltp trawlpn 0.6 0.8 1.0 ADFG Trawl Selectivity 1.0 NOAA Trawl Selectivity 1.0 Molting Probability 80 90 100 110 120 130 lengthclass 80 90 100 110 120 130 lengthclass Figure 5a. Estimated molting probability and trawl/pot selectivity (alternative model 0). 49 100 110 120 130 0.8 0.2 0.0 90 100 110 120 130 100 110 120 130 lengthclass 90 100 110 120 130 lengthclass 0.6 0.4 0.0 0.2 0.4 0.0 0.2 0.4 0.2 0.0 90 80 Commercial 93-12 Selectivity sc3p 0.6 0.8 1.0 lengthclass sc1p wpotp 0.6 0.8 1.0 lengthclass 80 0.6 trawlpa 80 Commercial 77-92 Selectivity 1.0 90 Winter pot Selectivity 0.8 80 0.4 0.8 0.6 0.4 0.2 0.0 0.0 0.2 0.4 moltp trawlpn 0.6 0.8 1.0 ADFG Trawl Selectivity 1.0 NOAA Trawl Selectivity 1.0 Molting Probability 80 90 100 110 120 130 lengthclass 80 90 100 110 120 130 lengthclass Figure 5b. Estimated molting probability and trawl/pot selectivity (alternative model 2.i). 50 100 110 120 130 0.8 0.2 0.0 90 100 110 120 130 100 110 120 130 lengthclass 90 100 110 120 130 lengthclass 0.6 0.4 0.0 0.2 0.4 0.0 0.2 0.4 0.2 0.0 90 80 Commercial 93-12 Selectivity sc3p 0.6 0.8 1.0 lengthclass sc1p wpotp 0.6 0.8 1.0 lengthclass 80 0.6 trawlpa 80 Commercial 77-92 Selectivity 1.0 90 Winter pot Selectivity 0.8 80 0.4 0.8 0.6 0.4 0.2 0.0 0.0 0.2 0.4 moltp trawlpn 0.6 0.8 1.0 ADFG Trawl Selectivity 1.0 NOAA Trawl Selectivity 1.0 Molting Probability 80 90 100 110 120 130 lengthclass 80 90 100 110 120 130 lengthclass Figure 5c. Estimated molting probability and trawl/pot selectivity (alternative model 2.io). 51 8 Trawl survey crab abundance 4 0 2 Crab Abundance (million) 6 Observed Predicted 1975 1980 1985 1990 1995 2000 2005 2010 Year Figure 6a. Area-swept (observed) and model-estimated trawl survey abundance (≥ 74 mm CL) (alternative model 0). 52 8 Trawl survey crab abundance 4 0 2 Crab Abundance (million) 6 Observed Predicted 1975 1980 1985 1990 1995 2000 2005 2010 Year Figure 6b. Area-swept (observed) and model-estimated trawl survey abundance (≥ 74 mm CL) (alternative model 2.i). 53 8 Trawl survey crab abundance 4 0 2 Crab Abundance (million) 6 Observed Predicted 1975 1980 1985 1990 1995 2000 2005 2010 Year Figure 6c. Area-swept (observed) and model-estimated trawl survey abundance (≥ 74 mm CL) (alternative model 2.io). 54 10 Modeled crab abundance July 01 6 4 0 2 Abundance (million crabs) 8 total legal recruits 1980 1990 2000 Year Figure 7a. Estimated total, legal, and recruitment (model 0). 55 2010 10 Modeled crab abundance July 01 6 4 0 2 Abundance (million crabs) 8 total legal recruits 1980 1990 2000 Year Figure 7b. Estimated total, legal, and recruitment (model 2.i). 56 2010 10 Modeled crab abundance July 01 6 4 0 2 Abundance (million crabs) 8 total legal recruits 1980 1990 2000 Year Figure 7c. Estimated total, legal, and recruitment (model 2.io). 57 2010 Estimated abundance by length class 1500 0 500 1000 Abundance 2000 2500 74-83 84-93 94-103 104-113 114-123 > 124 1980 1990 2000 year Figure 8a. Estimated abundance by length class (model 0). 58 2010 2500 Estimated abundance by length class 1500 1000 0 500 Abundance 2000 74-83 84-93 94-103 104-113 114-123 > 124 1980 1990 2000 year Figure 8b. Estimated abundance by length class (model 2.i). 59 2010 Estimated abundance by length class 1000 0 500 Abundance 1500 2000 74-83 84-93 94-103 104-113 114-123 > 124 1980 1990 2000 year Figure 8c. Estimated abundance by length class (model 2.io). 60 2010 MMB July 01 10 8 2 4 6 MMB (million lb) 12 14 BMSY 4.181 mil.lb MMB 3.656 mil.lb Legal B 3.048 mil.lb OFL 0.437 mil.lb ABC 0.394 mil.lb 1980 1990 2000 Year Figure 8a. Estimated model MMB (model 0). The dashed line shows Bmsy. 61 2010 MMB July 01 10 8 4 6 MMB (million lb) 12 14 BMSY 4.237 mil.lb MMB 3.721 mil.lb Legal B 3.216 mil.lb OFL 0.464 mil.lb ABC 0.417 mil.lb 1980 1990 2000 Year Figure 8b. Estimated model MMB (model 2.i). The dashed line shows Bmsy. 62 2010 MMB July 01 8 4 6 MMB (million lb) 10 12 BMSY 4.193 mil.lb MMB 3.705 mil.lb Legal B 3.192 mil.lb OFL 0.463 mil.lb ABC 0.417 mil.lb 1980 1990 2000 Year Figure 8c. Estimated model MMB (model 2.io). The dashed line shows Bmsy. 63 2010 7 Summer commercial standardized cpue 0 1 2 3 CPUE 4 5 6 Predicted Observed 1980 1990 2000 2010 Year Figure 9a. Standardized summer commercial fishery CPUE with 95% CI (solid: modeled, dash: with additional variance) (model 0). 64 7 Summer commercial standardized cpue 0 1 2 3 CPUE 4 5 6 Predicted Observed 1980 1990 2000 2010 Year Figure 9b. Standardized summer commercial fishery CPUE with 95% CI (solid: modeled, dash: with additional variance) (model 2.i). 65 7 Summer commercial standardized cpue 0 1 2 3 CPUE 4 5 6 Predicted Observed 1980 1990 2000 2010 Year Figure 9c. Standardized summer commercial fishery CPUE with 95% CI (solid: modeled, dash: with additional variance) (model 2.io). 66 0.10 0.00 0.05 0.2 0.0 1980 1990 2000 Year Figure 10a: Total catch and model-estimated harvest rate (model 0). 67 2010 Estimated harvest rate 0.15 0.20 0.6 0.4 Total Catch (million) 0.25 0.8 0.30 Total Catch Estimated Harvest Rate 0.35 1.0 Total catch & Harvest rate 0.10 0.00 0.05 0.2 0.0 1980 1990 2000 Year Figure 10b: Total catch and model-estimated harvest rate (model 2.i). 68 2010 Estimated harvest rate 0.15 0.20 0.6 0.4 Total Catch (million) 0.25 0.8 0.30 Total Catch Estimated Harvest Rate 0.35 1.0 Total catch & Harvest rate 0.10 0.00 0.05 0.2 0.0 1980 1990 2000 Year Figure 10c: Total catch and model-estimated harvest rate (model 2.io). 69 2010 Estimated harvest rate 0.15 0.20 0.6 0.4 Total Catch (million) 0.25 0.8 0.30 Total Catch Estimated Harvest Rate 0.35 1.0 Total catch & Harvest rate Residuals Histogram, Q-Q Plot, Predicted vs. Residual 6 predicted vs. residual -500 0 500 1500 500 -1000 -0.5 0.5 1.5 2000 Normal Plot TheoreticalQ-Q Quantiles 4000 6000 predicted residual (rept$ett1 vs. + rept$ett2) -2.5 -1.5 -0.5 resd.cpue 0.5 0.0 -2.0 -1.0 resd.cpue 0.0 -2.0 -1.0 Sample Quantiles 10 5 0 Frequency 15 1.0 Commercial resd.traw CPUE l -1.5 1.0 -1500 0 resd.trawl 500 -1000 0 Sample Quantiles 4 3 2 0 1 Frequency 5 1500 Normal Q-Q Plot 1500 Trawl survey -2 -1 0 1 Theoretical Quantiles 2 1.0 1.5 2.0 2.5 3.0 3.5 rept$ecpue[-c(1, 13, 16, dat$ny)] Figure 11a: Histogram of residuals, QQ plot, and predicted vs. residual plots for observed versus for model fitted to trawl survey and summer commercial fishery CPUE (model 0). 70 Residuals Histogram, Q-Q Plot, Predicted vs. Residual Normal Q-Q Plot predicted vs. residual 500 1000 -500 0 resd.trawl 500 1000 0 -500 0 2 1 Frequency 3 Sample Quantiles 4 Trawl survey 0 500 1500 -1.5 1.5 2000 6000 0.5 0.5 predicted residual (rept$ett1 vs. + rept$ett2) resd.cpue -1.5 -1.0 -0.5 0.0 Sample Quantiles 10 5 4000 0 Frequency 0.5 Normal Plot TheoreticalQ-Q Quantiles 15 Commercial resd.traw CPUE l -0.5 -1.5 -1.0 -0.5 0.0 -1000 -2.0 -1.0 0.0 0.5 1.0 resd.cpue -2 -1 0 1 Theoretical Quantiles 2 0.5 1.0 1.5 2.0 2.5 3.0 rept$ecpue[-c(1, 13, 16, dat$ny)] Figure 11b: Histogram of residuals, QQ plot, and predicted vs. residual plots for observed versus for model fitted to trawl survey and summer commercial fishery CPUE (model 2.i). 71 Residuals Histogram, Q-Q Plot, Predicted vs. Residual Normal Q-Q Plot predicted vs. residual 500 1000 1000 0.5 1.5 2000 4000 6000 0 -1.5 resd.cpue -0.5 0.0 0.5 predicted residual (rept$ett1 vs. + rept$ett2) -1.5 10 -0.5 Normal Plot TheoreticalQ-Q Quantiles Sample Quantiles 15 Commercial resd.traw CPUE l 5 500 -500 -1.5 -0.5 0.0 0.5 0 0 resd.trawl 1000 500 -500 0 -1000 Frequency 0 Sample Quantiles 4 3 2 1 Frequency 5 6 Trawl survey -2.0 -1.0 0.0 0.5 1.0 resd.cpue -2 -1 0 1 Theoretical Quantiles 2 1.0 1.5 2.0 2.5 3.0 3.5 rept$ecpue[-c(1, 13, 16, dat$ny)] Figure 11c: Histogram of residuals, QQ plot, and predicted vs. residual plots for observed versus for model fitted to trawl survey and summer commercial fishery CPUE (model 2.io). 72 1 3 5 Commercial Harvest 1975 1980 1985 1990 1995 2000 2005 2010 2000 2005 2010 2000 2005 2010 2000 2005 2010 1 3 5 Winter Pot Survey 1975 1980 1985 1990 1995 1 3 5 Trawl Survey 1975 1980 1985 1990 1995 1 3 5 Observer Survey 1975 1980 1985 1990 1995 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 12a: Bubble plot of predicted and observed length proportion (model 0). Black circle indicates model estimates lower than observed, white circle indicates model estimates higher than observed. Size of circle indicate degree of deviance (larger circle = larger deviance). 73 1 3 5 Commercial Harvest 1975 1980 1985 1990 1995 2000 2005 2010 2000 2005 2010 2000 2005 2010 2000 2005 2010 1 3 5 Winter Pot Survey 1975 1980 1985 1990 1995 1 3 5 Trawl Survey 1975 1980 1985 1990 1995 1 3 5 Observer Survey 1975 1980 1985 1990 1995 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 12b: Bubble plot of predicted and observed length proportion (model 2.i). Black circle indicates model estimates lower than observed, white circle indicates model estimates higher than observed. Size of circle indicate degree of deviance (larger circle = larger deviance). 74 1 3 5 Commercial Harvest 1975 1980 1985 1990 1995 2000 2005 2010 2000 2005 2010 2000 2005 2010 2000 2005 2010 1 3 5 Winter Pot Survey 1975 1980 1985 1990 1995 1 3 5 Trawl Survey 1975 1980 1985 1990 1995 1 3 5 Observer Survey 1975 1980 1985 1990 1995 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 12c: Bubble plot of predicted and observed length proportion (Alternative model 2.io). Black circle indicates model estimates lower than observed, white circle indicates model estimates higher than observed. Size of circle indicate degree of deviance (larger circle = larger deviance). 75 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1 2 3 4 5 6 1983Index 1 2 3 4 5 6 1989Index 1 2 3 4 5 6 1996Index 1 2 3 4 5 6 2002Index 1 2 3 4 5 6 2008Index 1 2 3 4 5 6 0.0 0.3 0.6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1978 1 2 3 4 5 6 1984Index 1 2 3 4 5 6 1990Index 1 2 3 4 5 6 1997Index 1 2 3 4 5 6 2003Index 1 2 3 4 5 6 2009Index 1 2 3 4 5 6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1979 1 2 3 4 5 6 1985Index 1 2 3 4 5 6 1992Index 1 2 3 4 5 6 1998Index 1 2 3 4 5 6 2004Index 1 2 3 4 5 6 2010Index 1 2 3 4 5 6 1: 74-83, 94-103, 4: 104-113, 6: >124 Index 2: 84-93, 3: Index Index 5: 114-123, Index Index Figure 13a: Modeled (dashed line) vs. observed (black dots) length class proportion for commercial catch (model 0). Index 76 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1980 1 2 3 4 5 6 1986Index 1 2 3 4 5 6 1993Index 1 2 3 4 5 6 1999Index 1 2 3 4 5 6 2005Index 1 2 3 4 5 6 2011Index 1 2 3 4 5 6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1981 1 2 3 4 5 6 1987Index 1 2 3 4 5 6 1994Index 1 2 3 4 5 6 2000Index 1 2 3 4 5 6 2006Index 1 2 3 4 5 6 2012Index 1 2 3 4 5 6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 1977 commercial harvest length: observed vs predicted 1982 1 2 3 4 5 6 1988Index 1 2 3 4 5 6 1995Index 1 2 3 4 5 6 2001Index 1 2 3 4 5 6 2007Index 1 2 3 4 5 6 2013Index 1 2 3 4 5 6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1 2 3 4 5 6 1983Index 1 2 3 4 5 6 1989Index 1 2 3 4 5 6 1996Index 1 2 3 4 5 6 2002Index 1 2 3 4 5 6 2008Index 1 2 3 4 5 6 Index 0.0 0.3 0.6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1978 1 2 3 4 5 6 1984Index 1 2 3 4 5 6 1990Index 1 2 3 4 5 6 1997Index 1 2 3 4 5 6 2003Index 1 2 3 4 5 6 2009Index 1 2 3 4 5 6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1979 1 2 3 4 5 6 1985Index 1 2 3 4 5 6 1992Index 1 2 3 4 5 6 1998Index 1 2 3 4 5 6 2004Index 1 2 3 4 5 6 2010Index 1 2 3 4 5 6 77 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1980 1 2 3 4 5 6 1986Index 1 2 3 4 5 6 1993Index 1 2 3 4 5 6 1999Index 1 2 3 4 5 6 2005Index 1 2 3 4 5 6 2011Index 1 2 3 4 5 6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1981 1 2 3 4 5 6 1987Index 1 2 3 4 5 6 1994Index 1 2 3 4 5 6 2000Index 1 2 3 4 5 6 2006Index 1 2 3 4 5 6 2012Index 1 2 3 4 5 6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 1977 commercial harvest length: observed vs predicted 1: 74-83, 94-103, 4: 104-113, 6: >124 Index 2: 84-93, 3: Index Index 5: 114-123, Index 1982 1 2 3 4 5 6 1988Index 1 2 3 4 5 6 1995Index 1 2 3 4 5 6 2001Index 1 2 3 4 5 6 2007Index 1 2 3 4 5 6 2013Index 1 2 3 4 5 6 Index Figure 13b: Modeled (dashed line) vs. observed (black dots) length class proportion for commercial catch (model 2.i). 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1 2 3 4 5 6 1983Index 1 2 3 4 5 6 1989Index 1 2 3 4 5 6 1996Index 1 2 3 4 5 6 2002Index 1 2 3 4 5 6 2008Index 1 2 3 4 5 6 0.0 0.3 0.6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1978 1 2 3 4 5 6 1984Index 1 2 3 4 5 6 1990Index 1 2 3 4 5 6 1997Index 1 2 3 4 5 6 2003Index 1 2 3 4 5 6 2009Index 1 2 3 4 5 6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1979 1 2 3 4 5 6 1985Index 1 2 3 4 5 6 1992Index 1 2 3 4 5 6 1998Index 1 2 3 4 5 6 2004Index 1 2 3 4 5 6 2010Index 1 2 3 4 5 6 1: 74-83, 94-103, 4: 104-113, 6: >124 Index 2: 84-93, 3: Index Index 5: 114-123, Index Index Figure 13c: Modeled (dashed line) vs. observed (black dots) length class proportion for commercial catch (model 2.io). Index 78 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1980 1 2 3 4 5 6 1986Index 1 2 3 4 5 6 1993Index 1 2 3 4 5 6 1999Index 1 2 3 4 5 6 2005Index 1 2 3 4 5 6 2011Index 1 2 3 4 5 6 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 1981 1 2 3 4 5 6 1987Index 1 2 3 4 5 6 1994Index 1 2 3 4 5 6 2000Index 1 2 3 4 5 6 2006Index 1 2 3 4 5 6 2012Index 1 2 3 4 5 6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 0.0 0.3 0.6 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 dat$onc[, i] + dat$ooc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, dat$onc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] + dat$ooc[, i] i] i] i] i] i] 0.0 1977 commercial harvest length: observed vs predicted 1982 1 2 3 4 5 6 1988Index 1 2 3 4 5 6 1995Index 1 2 3 4 5 6 2001Index 1 2 3 4 5 6 2007Index 1 2 3 4 5 6 2013Index 1 2 3 4 5 6 1 2 3 4 5 6 0.4 0.0 0.2 0.2 0.4 2002 0.0 0.2 0.4 2001 0.0 1 2 3 4 5 6 1995 1 2 3 4 5 6 2007 1 2 3 4 5 6 0.0 0.2 0.4 1 2 3 4 5 6 0.0 0.2 0.4 2006 0.2 0.4 0.0 0.2 0.4 0.0 0.4 0.0 0.2 0.4 0.0 0.2 0.2 0.4 1999 0.0 0.0 0.2 0.4 2005 1994 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.4 1992 1986 1 2 3 4 5 6 2008 1 2 3 4 5 6 2011 0.0 0.2 2010 0.2 0.4 0.0 0.2 0.4 0.4 0.0 0.2 0.2 0.4 0.0 0.2 0.4 2004 0.0 0.2 0.0 0.2 2009 1998 1985 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.4 1 2 3 4 5 6 1990 0.0 0.2 0.4 1997 1984 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 2003 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 1989 0.0 1996 0.0 0.2 0.4 1 2 3 4 5 6 1983 0.0 0.2 0.4 0.4 1 2 3 4 5 6 0.0 0.2 1988 0.0 0.2 0.4 1 2 3 4 5 6 0.4 1982 0.0 1981 0.0 0.2 0.4 Winter pot length: observed vs predicted 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 14a: Modeled (dashed line) vs. observed (black dots) length class proportion for winter pot survey (model 0). . 79 1 2 3 4 5 6 0.4 0.0 0.2 0.2 0.4 2002 0.0 0.2 0.4 2001 0.0 1 2 3 4 5 6 1995 1 2 3 4 5 6 2007 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 1 2 3 4 5 6 0.0 0.2 0.4 2006 0.2 0.4 0.0 0.2 0.4 0.0 0.4 0.0 0.2 0.4 0.0 0.2 0.2 0.4 1999 0.0 0.0 0.2 0.4 2005 1994 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.4 1992 1986 2008 1 2 3 4 5 6 2011 0.0 0.2 2010 0.2 0.4 0.0 0.2 0.4 0.4 0.0 0.2 0.2 0.4 0.0 0.2 0.4 2004 0.0 0.2 0.0 0.2 2009 1998 1985 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.4 1 2 3 4 5 6 1990 0.0 0.2 0.4 1997 1984 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 2003 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 1989 0.0 1996 0.0 0.2 0.4 1 2 3 4 5 6 1983 0.0 0.2 0.4 0.4 1 2 3 4 5 6 0.0 0.2 1988 0.0 0.2 0.4 1 2 3 4 5 6 0.4 1982 0.0 1981 0.0 0.2 0.4 Winter pot length: observed vs predicted 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 14b: Modeled (dashed line) vs. observed (black dots) length class proportion for winter pot survey (model 2.i). 80 1 2 3 4 5 6 0.4 0.0 0.2 0.2 0.4 2002 0.0 0.2 0.4 2001 0.0 1 2 3 4 5 6 1995 1 2 3 4 5 6 2007 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 1 2 3 4 5 6 0.0 0.2 0.4 2006 0.2 0.4 0.0 0.2 0.4 0.0 0.4 0.0 0.2 0.4 0.0 0.2 0.2 0.4 1999 0.0 0.0 0.2 0.4 2005 1994 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.4 1992 1986 2008 1 2 3 4 5 6 2011 0.0 0.2 2010 0.2 0.4 0.0 0.2 0.4 0.4 0.0 0.2 0.2 0.4 0.0 0.2 0.4 2004 0.0 0.2 0.0 0.2 2009 1998 1985 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.4 1 2 3 4 5 6 1990 0.0 0.2 0.4 1997 1984 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 2003 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.0 0.2 0.4 1989 0.0 1996 0.0 0.2 0.4 1 2 3 4 5 6 1983 0.0 0.2 0.4 0.4 1 2 3 4 5 6 0.0 0.2 1988 0.0 0.2 0.4 1 2 3 4 5 6 0.4 1982 0.0 1981 0.0 0.2 0.4 Winter pot length: observed vs predicted 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 14c: Modeled (dashed line) vs. observed (black dots) length class proportion for winter pot survey (model 2.io). 81 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.2 0.4 1991 0.0 0.2 0.4 0.4 2008 1 2 3 4 5 6 2010 0.0 0.2 0.4 2006 1 2 3 4 5 6 0.0 0.2 0.4 1 2 3 4 5 6 0.0 0.2 0.0 0.2 2002 1988 0.0 0.2 0.4 0.0 0.2 0.4 1985 1 2 3 4 5 6 1 2 3 4 5 6 2011 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.6 1 2 3 4 5 6 0.3 1994 0.0 0.3 1992 0.0 0.3 0.0 0.3 1 2 3 4 5 6 1990 1 2 3 4 5 6 1 2 3 4 5 6 0.3 2013 0.0 0.0 0.3 2012 1989 0.0 0.0 0.3 1988 0.6 0.0 0.3 0.6 0.6 1 2 3 4 5 6 0.6 Observer length: observed vs predicted 0.0 0.6 0.4 1999 1 2 3 4 5 6 1 2 3 4 5 6 1987 0.6 1982 0.0 0.2 0.4 0.4 1 2 3 4 5 6 0.0 0.2 1996 0.0 0.2 0.4 1 2 3 4 5 6 0.2 0.4 1979 0.0 1976 0.0 0.2 0.4 Trawl length: observed vs predicted 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 15a: Modeled (dashed line) vs. observed (black dots) length class proportion for trawl survey and summer commercial observer (model 0). . 82 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.2 0.4 1991 0.0 0.2 0.4 0.4 2008 1 2 3 4 5 6 2010 0.0 0.2 0.4 2006 1 2 3 4 5 6 0.0 0.2 0.4 1 2 3 4 5 6 0.0 0.2 0.0 0.2 2002 1988 0.0 0.2 0.4 0.0 0.2 0.4 1985 1 2 3 4 5 6 1 2 3 4 5 6 2011 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.6 1 2 3 4 5 6 0.3 1994 0.0 0.3 1992 0.0 0.3 0.0 0.3 1 2 3 4 5 6 1990 1 2 3 4 5 6 1 2 3 4 5 6 0.3 2013 0.0 0.0 0.3 2012 1989 0.0 0.0 0.3 1988 0.6 0.0 0.3 0.6 0.6 1 2 3 4 5 6 0.6 Observer length: observed vs predicted 0.0 0.6 0.4 1999 1 2 3 4 5 6 1 2 3 4 5 6 1987 0.6 1982 0.0 0.2 0.4 0.4 1 2 3 4 5 6 0.0 0.2 1996 0.0 0.2 0.4 1 2 3 4 5 6 0.2 0.4 1979 0.0 1976 0.0 0.2 0.4 Trawl length: observed vs predicted 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 15b: Modeled (dashed line) vs. observed (black dots) length class proportion for trawl survey and summer commercial observer (model 2.i). 83 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.2 0.4 1991 0.0 0.2 0.4 0.4 2008 1 2 3 4 5 6 2010 0.0 0.2 0.4 2006 1 2 3 4 5 6 0.0 0.2 0.4 1 2 3 4 5 6 0.0 0.2 0.0 0.2 2002 1988 0.0 0.2 0.4 0.0 0.2 0.4 1985 1 2 3 4 5 6 1 2 3 4 5 6 2011 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.6 1 2 3 4 5 6 0.3 1994 0.0 0.3 1992 0.0 0.3 0.0 0.3 1 2 3 4 5 6 1990 1 2 3 4 5 6 1 2 3 4 5 6 0.3 2013 0.0 0.0 0.3 2012 1989 0.0 0.0 0.3 1988 0.6 0.0 0.3 0.6 0.6 1 2 3 4 5 6 0.6 Observer length: observed vs predicted 0.0 0.6 0.4 1999 1 2 3 4 5 6 1 2 3 4 5 6 1987 0.6 1982 0.0 0.2 0.4 0.4 1 2 3 4 5 6 0.0 0.2 1996 0.0 0.2 0.4 1 2 3 4 5 6 0.2 0.4 1979 0.0 1976 0.0 0.2 0.4 Trawl length: observed vs predicted 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 15c: Modeled (dashed line) vs. observed (black dots) length class proportion for trawl survey and summer commercial observer (model 2.io). 84 Tag recovery data observed vs predicted 1980-92, Recovery after 1 year 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 4 5 6 4 5 6 4 5 6 4 5 6 4 5 6 4 5 6 1980-92, Recovery after 2 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1980-92, Recovery after 3 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1993-2013, Recovery after 1 year 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1993-2013, Recovery after 2 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1993-2013, Recovery after 3 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 16a: Modeled (dashed line) vs. observed (black dots) length class proportion for tag recovery (model 2.i). 85 Tag recovery data observed vs predicted 1980-92, Recovery after 1 year 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 4 5 6 4 5 6 4 5 6 4 5 6 4 5 6 4 5 6 1980-92, Recovery after 2 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1980-92, Recovery after 3 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1993-2013, Recovery after 1 year 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1993-2013, Recovery after 2 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1993-2013, Recovery after 3 years 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 0.6 0.0 0.6 Length 5 0.0 0.0 0.0 0.0 1 Length 4 0.6 Length 3 0.6 Length 2 0.6 Length 1 1 2 3 4 5 6 1 2 3 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 16b: Modeled (dashed line) vs. observed (black dots) length class proportion for tag recovery (model 2.io). 86 2 3 4 5 5 4 3 2 1 1993-2013, Recovery after 1 year 1 1980-92, Recovery after 1 year 1 2 3 4 5 6 1 2 3 4 5 6 2 3 4 5 5 4 3 2 1 1993-2013, Recovery after 2 years 1 1980-92, Recovery after 2 year2 1 2 3 4 5 6 1 2 3 4 5 6 2 3 4 5 5 4 3 2 1 1993-2013, Recovery after 3 years 1 1980-92, Recovery after 3 year 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 17a: Bubble plot of modeled and observed tag recovery length proportion (model 2.i). Black circle indicates model estimates lower than observed, white circle indicates model estimates higher than observed. Size of circle indicate degree of deviance (larger circle = larger deviance). 87 2 3 4 5 5 4 3 2 1 1993-2013, Recovery after 1 year 1 1980-92, Recovery after 1 year 1 2 3 4 5 6 1 2 3 4 5 6 2 3 4 5 5 4 3 2 1 1993-2013, Recovery after 2 years 1 1980-92, Recovery after 2 year2 1 2 3 4 5 6 1 2 3 4 5 6 2 3 4 5 5 4 3 2 1 1993-2013, Recovery after 3 years 1 1980-92, Recovery after 3 year 1 2 3 4 5 6 1 2 3 4 5 6 1: 74-83, 2: 84-93, 3: 94-103, 4: 104-113, 5: 114-123, 6: >124 Figure 17b: Bubble plot of modeled and observed tag recovery length proportion (model 2.io). Black circle indicates model estimates lower than observed, white circle indicates model estimates higher than observed. Size of circle indicate degree of deviance (larger circle = larger deviance). 88 8000 2000 4000 6000 MMB 10000 12000 14000 Retrospective Analysis 1976 1981 1986 1991 1996 2001 2006 2011 year Figure 18a: Retrospective analysis (model 0). The bold red line shows retrospective predicted MMB and each line shows retrospective MMB from prior assessments. 89 8000 4000 6000 MMB 10000 12000 14000 Retrospective Analysis 1976 1981 1986 1991 1996 2001 2006 2011 year Figure 18b: Retrospective analysis (model 2.i). The bold red line shows retrospective predicted MMB and each line shows retrospective MMB from prior assessments. 90 8000 4000 6000 MMB 10000 12000 Retrospective Analysis 1976 1981 1986 1991 1996 2001 2006 2011 year Figure 18c: Retrospective analysis (model 2.io). The bold red line shows retrospective predicted MMB and each line shows retrospective MMB from prior assessments. 91