portuguese market and on-board sampling effort review

18
Sampling review Jardim, E., Prista, N. & Dias, M. Introduction Data Methods Results Conclusions Portuguese Market and On-board Sampling Effort Review Working document presented to PGCCDBS, 7-11 February 2011 Jardim, E., Prista, N. & Dias, M. February 5, 2011

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Accurate and precise estimation of discards is a major objective of data collection programs throughout the world. Discard reduction is also a major topic of the new Common Fisheries Policy (CFP) and the future Data Collection Multi-Annual Programme (DC-MAP). Using data from the Portuguese on-board observer programme that samples two otter trawl fisheries in ICES Division IXa, we compare two different approaches for estimating the sampling effort required to attain "assessment grade" discard estimates: a model-based approach (exponential-decay models) and a probability-based approach (based on classic sampling theory). We show that both approaches attain comparable sample size estimates and that the sample size required to attain precision objectives varies across species and across fisheries being likely influenced by discard motifs. We demonstrate that sampling levels at least two fold higher than the present sampling levels would be required to attain the precision levels set in the current Data Collection Framework (DCF). We discuss the implications of these results in light of the future ability of European onboard sampling programs to detect, e.g., progressive reductions in discard levels.

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Page 1: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Portuguese Market and On-boardSampling Effort Review

Working document presented to PGCCDBS, 7-11 February 2011

Jardim, E., Prista, N. & Dias, M.

February 5, 2011

Page 2: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Outline

1 Introduction

2 Data

3 Methods

4 Results

5 Conclusions

Page 3: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Introduction

The implementation of the metier approach resulted in:

I a decrease in the precision of the length frequenciesestimates by species, due to the spread of sampling effortto new species and the reduction of trips sampled.

I an increase in the number of strata to be sampledon-board

The objective of this work is to optimize sampling effort bycomputing the number of samples required to achieve theprecision levels defined by the DCF:

I for length frequencies of the landings sampled at themarket

I for total discards sampled on-board

Page 4: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Data

I On market:I number of individuals estimated by tripI data from 2009-2010,I by REGION, GEAR, SPECIES & QUARTER

I On board:I weight discarded by tripI data from 2004-2010I by METIER (OTBDEF, OTBCRU) & QUARTER

Data is scarce and the breakdown by metier makes iteven scarcer, it was necessary to aggregate.

Page 5: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Methods

I Model CV = f (N) using exponential decay models (Nbeing number of samples)

I Compute N to achive 12.5% CV for market sampling or20% for on-board

I Compute 95% percentile of N as an indicator of a highprobability to achieve the objective and cover species withmore variability than average

I Review the sampling plans

(Lots of technical details and statistical mambo-jambo to beprovided if requested)

Page 6: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Data aggregation formarket sampling

I Each pair used in model refers toI the CV of the total number of individuals sampledI the number of samples collected from which the CV above

was computed

I Each pair was computed by GEAR (aggregation ofmetiers), QUARTER, REGION & SPECIES

I Each model was fit to distinct dimensions of the datacollapsing all other dimensions

I for each REGIONI for each GEARI for each combination of REGION and GEAR

Page 7: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Example models formarket sampling

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0 5 10 15 20

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Trammel nets

N

TOT

CV

expstrexpexp logstrexp log

Page 8: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Models for on-boardsampling

Page 9: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Preliminary conclusionsfor market sampling

Region Metier SampEff.2010 SampEff.20111 North FPO MOL >=29 0 0 5 172 North GNS DEF 80-99 0 0 2 213 North GNS DEF 60-79 0 0 3 214 North GTR DEF >=100 0 0 8 125 North LLS DEF 0 0 0 1 176 North OTB DEF 65-69 0 0 6 187 North PS SPF >=16 0 0 7 138 North TBB CRU >=20 0 0 1 179 Center FPO MOL >=29 0 0 5 17

10 Center GNS DEF 80-99 0 0 3 1911 Center GTR DEF >=100 0 0 7 412 Center LLD LPF 0 0 0 2 213 Center LLS DEF 0 0 0 2 1714 Center LLS DWS 0 0 0 2 1715 Center OTB CRU >=70 0 0 6 416 Center OTB CRU 55-59 0 017 Center OTB DEF 65-69 0 0 1 418 Center PS SPF >=16 0 0 5 1319 South FPO MOL >=29 0 0 5 1720 South GNS DEF 80-99 0 0 2 2121 South LLD LPF 0 0 0 1 122 South LLS DEF 0 0 0 1 1723 South OTB CRU >=70 0 0 5 1824 South OTB CRU 55-59 0 025 South OTB DEF 65-69 0 0 2 1826 South PS SPF >=16 0 0 2 1327 Total 84 338

Page 10: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Preliminary conclusionsfor on-board sampling

I Model point estimate is 15 samples per quarter for bothmetiers

I Sampling theory estimate is 18-20 samples per quarter

I 95 percentile is 48 samples per quarter

I Increase sampling effort up to 192 trips per year for eachmetier

The sampling effort is not applicable due to high costsand lack of human resources. In 2011 on-board samplingeffort will be increased up to the maximum possible,taking into account other metiers and resources available.

Page 11: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

The End

Page 12: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Details: codes

I N, C, S = Norte, Centro Sul

I OTB, PS, GTR, GNS, FPO, LLS = trawl, purse seine,trammel nets, gill nets, traps, longliners

I Models: exp, strexp, exp log, strexp log = exponential,streched exponential, exponential with log errors, strechedexponential with log errors.

Page 13: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Details: Methods

I Models are fit to distinct data breakdowns, All, byREGION, by GEAR, by REGION & GEAR = 60 models(only market)

I Models are fit to both metiers merged (only on-board)

I Fits are analysed by visual inspection of residuals, AIC,likelihood, precision of parameters, precision of theestimated number of samples to achieve objective.

I Fits selected are averaged considering the inverse of theresiduals variance (only market)

I Number of samples are allocated considering the highestnumber for each combination of GEAR & REGION (onlymarket).

I Number of samples are estimated by the best model aswell as with sampling theory (only on-board).

Page 14: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Details CV (µ) = CV (τ)

τ̂ = C ∗ µ̂

var(τ̂) = C 2 ∗ var(µ̂)

CV (τ̂) =

√C 2 ∗ var(µ̂)

C ∗ µ̂=

√var(µ̂)

µ̂= CV (µ̂)

Page 15: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Details τ & var(τ)

Consider N the number of individuals, i = 1 . . . l to indexlength classes and j = 1 . . . s to index sampled trips.

N =∑i

Ni

Σ = var(N) =∑i

var(Ni ) + 2 ∗∑i

∑j=i+1

cov(Ni ,Nj)

Ni =∑j

Nij

var(Ni ) =

∑j(

Nij∗wwj

− Ni )2

s ∗ (s − 1)

Page 16: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Details DPUE & var(DPUE )

Let i be the index of the number of hauls sampled in trip j(i = 1, 2, .., nj , j = 1, 2, .., nt), d be total weight discarded (inkg) and h be the haul duration (in hours)

DPUE j =

∑nji=1

di,jhi,j

njandDPUE =

∑nti=1 DPUE j

nt

VAR(DPUE ) =∑nt

j=1 (DPUEj−DPUE)2

nt(nt−1)

Page 17: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Details residuals ofon-board model

Page 18: Portuguese Market and On-board Sampling Effort Review

Samplingreview

Jardim, E.,Prista, N. &

Dias, M.

Introduction

Data

Methods

Results

Conclusions

Details residuals ofmarket model for trammel

nets

EXP

mod0$res

Fre

quen

cy

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3 0.4

05

1020

30

STREXP

mod1$res

Fre

quen

cy

−0.3 −0.2 −0.1 0.0 0.1 0.2 0.3 0.4

05

1020

30

EXP LOG

mod2$res

Fre

quen

cy

−3 −2 −1 0 1

05

1020

30

STREXP LOG

mod3$res

Fre

quen

cy

−3 −2 −1 0 1

010

2030

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0.10 0.15 0.20 0.25 0.30

−0.

20.

00.

20.

4

mod0$pred

mod

0$re

s

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0.10 0.15 0.20 0.25 0.30

−0.

20.

00.

20.

4

mod1$pred

mod

1$re

s

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0.10 0.15 0.20

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01

mod2$pred

mod

2$re

s

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0.10 0.15 0.20 0.25

−3

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01

mod3$pred

mod

3$re

s

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0 20 40 60 80

−2

01

23

Index

scal

e(m

od0$

res)

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Index

scal

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0 20 40 60 80

−5

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Indexsc

ale(

mod

2$re

s)

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Index

scal

e(m

od3$

res)

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20.

00.

20.

4

Normal Q−Q Plot

Theoretical Quantiles

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ple

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ntile

s

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Normal Q−Q Plot

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ple

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ntile

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ple

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ntile

s

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01

Normal Q−Q Plot

Theoretical Quantiles

Sam

ple

Qua

ntile

s