CPUE standardization and spatio-temporal distribution modelling of dorado (Coryphaena hippurus) in the Pacific Ocean off Peru

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CPUE standardization and spatio-temporal distribution modelling of dorado (Coryphaena hippurus) in the Pacific Ocean off Peru Josymar Torrejón Magallanes 1 ; Wencheng Lau Medrano 1 ; Daniel Grados 1 1 Instituto del Mar del Perú Development of spatio-temporal models of fishery catch-per-unit-effort data to derive indices of relative abundance

Outline Dorado Peruvian artisanal fishery Data description Data processing Models Results: CPUE time series - Spatial distribution Conclusions Issues for further discussion

Dorado: Peruvian artisanal fishery The dorado/perico/dolphinfish/mahi mahi is a (epi)pelagic species, with a wide distribution throughout the tropical and subtropical waters of the world s oceans. Top predator, fast growing (~ 3 years). IMARPE (2015) The fishing in Peru started in the late 80 s. Landings: ~ 400 61 909 tons (FAO 2017). Peru/World: ~ 50% of the total landing.

Dorado: Peruvian artisanal fishery The dorado/perico/dolphinfish/mahi mahi is a (epi)pelagic species, with a wide distribution throughout the tropical and subtropical waters of the world s oceans. Top predator, fast growing (~ 3 years). IMARPE (2015) The fishing in Peru started in the late 80 s. Landings: ~ 400 61 909 tons (FAO 2017). Peru/World: ~ 50% of the total landing. Peru/EPO: ~ 80% of the total landing.

Dorado: Peruvian artisanal fishery Seasonal fishery: Mainly in spring and summer (austral), when the Surface Subtropical Waters approach to the coast. IMARPE (2017) Fishery season: 01 October 30 April (Since oct. 2014). Fishing areas: Mainly > 30 nautical miles. Legal minimum landing size: 70 cm fork length.

Dorado: Peruvian artisanal fishery Seasonal fishery: Mainly in spring and summer (austral), when the Surface Subtropical Waters approach to the coast. Fishery season: 01 October 30 April (Since oct. 2014). Fishing areas: Mainly > 30 nautical miles. Legal minimum landing size: 70 cm fork length. Fleet: Hold capacity range between 2 and 32.5 mt. Gear: Longline Hook J. WWF (2017)

Data description A) Study area: - 4 S 16 S 75 W 90 W B) Fishery data from artisanal fleet: - Period: October 2010 March 2017 - Date (Sail and Arrival) - Catch per trip (ton) - Number of hooks - Hold capacity (ton) - Longitude, Latitude C) Oceanography: - SST from NOAA/GOES (month) - SSS from HYCOM (day) - Chl-a from NOAA/MODIS (month)

Data processing CPUE ijkl = C ijkl (ton) f ijkl N hooks 1000

Data processing CPUE ijkl = C ijkl (ton) f ijkl N hooks 1000 The dataset included a total of 16 108 trips, aggregated in a total of 4 127 x 0.25 grid. Satellite remote sensing oceanographic data were averaged to 0.25 grid for each month to match the spatial-temporal resolution of fishery data.

Models 1) Delta log normal model 2) Delta gamma model gam - mgcv (v. 1.8-22) package in R (Wood)

Models 1) Delta log normal model 2) Delta gamma model gam - mgcv (v. 1.8-22) package in R (Wood)

Getting temporal index and spatial distribution Environmental data (SST, SSS, Chl - a) Presence/absence data Binomial GAM Fishery data 75% - 25% Cross validation Positive data Log-Normal GAM P A ~ year + month + s SST + s SSS + s lon + s(lat) + s lon, lat + te lon, lat, month + te lon, lat, year + ε CPUE~ year + month + s SST + s SSS + s lon + s lat + s lon, lat + te lon, lat, month + te lon, lat, year + ε

Results Aires-da-Silva et al. 2018

Results

Aires-da-Silva et al. 2018

Results HOT SPOT

Results Diagnostic plots for the error distribution when fitting the non-zero catch Analysis of deviance tables Residual deviance % of total deviance explained AIC Δ AIC P(X 2 ) P/A model Null 33204.82 33207 +s(sst) 30967.76 19.35 30996 2211.02 <0.05 +s(sss) 29499.3 12.70 29557 1438.8 <0.05 +s(month) 29340.67 1.37 29408 148.72 <0.05 +s(year) 29004.22 2.91 29088 320.28 <0.05 +s(lon) 26265.4 23.69 26427 2661.04 <0.05 +s(lat) 25420.7 7.31 25421 1006.26 <0.05 +s(lon,lat) 24477.98 8.16 24331 1090 <0.05 +s(lon, lat, month) 23291.75 10.26 23050 1280.7 <0.05 +s(lon,lat, year) 21645.62 14.24 22362 688.44 <0.05 Total deviance explained 36.5% CPUE model <NULL> 3981.313 11568 +s(sst) 3656.661 20.97 11235 333.08 <0.05 +s(sss) 3515.241 9.13 11088 146.86 <0.05 + month 3240.461 17.75 10759 328.82 <0.05 + year 2841.104 25.80 10229 529.55 <0.05 +s(lon) 2730.389 7.15 10085 143.94 <0.05 +s(lat) 2698.493 2.06 10058 27.28 <0.05 +s(lon, lat) 2645.471 3.42 10040 18.37 <0.05 +s(lon, lat, month) 2601.291 2.85 10012 27.25 <0.05 +s(lon, lat, year) 2433.135 10.86 9792 220.673 <0.05 Total deviance explained 38.9% P, level of significance

Results Partial effect plots for the CPUE model La Jolla, CA, USA, February 26-March 2, 2018 Analysis of deviance tables Residual deviance % of total deviance explained AIC Δ AIC P(X 2 ) P/A model Null 33204.82 33207 +s(sst) 30967.76 19.35 30996 2211.02 <0.05 +s(sss) 29499.3 12.70 29557 1438.8 <0.05 +s(month) 29340.67 1.37 29408 148.72 <0.05 +s(year) 29004.22 2.91 29088 320.28 <0.05 +s(lon) 26265.4 23.69 26427 2661.04 <0.05 +s(lat) 25420.7 7.31 25421 1006.26 <0.05 +s(lon,lat) 24477.98 8.16 24331 1090 <0.05 +s(lon, lat, month) 23291.75 10.26 23050 1280.7 <0.05 +s(lon,lat, year) 21645.62 14.24 22362 688.44 <0.05 Total deviance explained 36.5% CPUE model <NULL> 3981.313 11568 +s(sst) 3656.661 20.97 11235 333.08 <0.05 +s(sss) 3515.241 9.13 11088 146.86 <0.05 + month 3240.461 17.75 10759 328.82 <0.05 + year 2841.104 25.80 10229 529.55 <0.05 +s(lon) 2730.389 7.15 10085 143.94 <0.05 +s(lat) 2698.493 2.06 10058 27.28 <0.05 +s(lon, lat) 2645.471 3.42 10040 18.37 <0.05 +s(lon, lat, month) 2601.291 2.85 10012 27.25 <0.05 +s(lon, lat, year) 2433.135 10.86 9792 220.673 <0.05 Total deviance explained 38.9% P, level of significance

Conclusions The time series of CPUE would be reflecting the monthly decay (year after year) of a single cohort of dorado due to natural mortality and fishery. At the beginning (oct - nov) the cohorts is not fully recruited to the fishery (migration, availability). Dorado changed their spatial distribution by month, possibly in accordance with changes in the SST SS?. Dorado prefers to stay in slightly higher SST around 20 24 C and SSS around 35.1 35.3 what characterizes the Surface Subtropical Waters (SSW). Dorado fundamentally changed their monthly distribution latitudinal direction between north and south and their longitudinally direction between west and east.

Issues? What to do Fishermen have an strategy called: 22 C isotherm strategy (using color maps). Fishermen prefer start to fish in Sep Oct because before of this period the sizes are smaller than the mínimum legal size, also they have to invest a lot of time (distance) to find big groups of dorados. We do not have the date when a set is ocurring (trip resolution) Vessel sizes would be included as a random effect to remove the assumption of homogeneity of characteristics among vessels. Tweedie distribution - 35 x times (doing something wrong?) Try VAST

THANK YOU! IMARPE IATTC Alex Aires da Silva Juan Valero Cleridy Lennert-Cody Carolina Minte-Vera Mark Maunder