Rainer Froese GEOMAR ICES MSFD Workshop Copenhagen 13 January 2014 Overview General proxies for unknown Fmsy and Bmsy DATRAS millions of records of survey d ata SMALK LWR ID: 280158
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Slide1
MSFD Indicators and Reference Points for Data-Limited Stocks
Rainer
Froese
GEOMAR
ICES MSFD Workshop, Copenhagen
13 January 2014Slide2
Overview
General
proxies for unknown
Fmsy
and
Bmsy
DATRAS:
millions
of
records
of
survey
d
ata
SMALK: LWR,
growth
&
maturity
Length at 90% of female maturity as reference point for size/age structure
CPUE:
abundance
and
relative
s
tock
s
tatus
Combining
s
urvey
d
ata
with
catch gives
s
tock
s
tatus
and
exploitation
r
ate Slide3
M as Proxy
for Unknown
Fmsy
A fishing mortality rate
F
that equals the natural mortality rate
M
effectively
d
oubles
the mortality rate that the species has evolved to withstand
r
educes
life expectancy and duration of reproductive phase by half
r
educes
the number of old, large, fecund fishSlide4
M as Proxy
for Unknown
Fmsy
There is a broad, longstanding agreement in fisheries science that sustainable rates of fishing
F
may not exceed
Fmsy
and shall not exceed
M
.
Gulland
1971, Shepherd 1981,
Beddington
and Cooke 1983, Clark et al. 1985,
Beverton
1990, Patterson 1992, Thompson 1993, Walters and Martell 2002, 2004,
MacCall
2009,
Pikitch
et al. 2012.
Proposed secure sustainable fishing rates vary from 0.5 to 0.8
Fmsy
or
M
.
Thus,
M
can be used as a proxy for
FmsySlide5
2 * Bpa
as Proxy
for Unknown
Bmsy
Over the past two decades the border to safe biological limits
Bpa
was used as reference point in European
fisheries
Recently, a new reference point
BmsyTrigger
has been introduced: it marks the lowest possible value for
Bmsy
and is
often
set
equal to
Bpa
.
With the same reasoning,
Bpa
and
BmsyTrigger
mark the lowest possible value for a good stock status.
In fisheries textbooks, half of
Bmsy
is typically assumed as the borderline to unsafe stock status.
It follows that 2*
Bpa
or 2*
BmsyTrigge
r
are reasonable proxies for
BmsySlide6
DATRAS: Millions of Survey Records
http://datras.ices.dkSlide7
SMALK: Length-Weight
Needed to turn length into weight and biomass
North Sea flounder: 25,609 observations of length and weight; 42 outliers were removed.
Weight
= 0.007 *
Length
3.16
[SMALK_Analysis_25.r]
Slide8
SMALK: Growth
Needed to turn length into age
North Sea flounder: 25,501 observations of length and age.
Length-at-age
= 48 * (1 –
e
-0.11 * (
age
– 2.8)
) [SMALK_Analysis_25.r] Slide9
SMALK: Length & Age at Maturity
Needed for proxy recruits and
spawners
North Sea flounder: 10,814 observations of length, age, and state of maturity.
Female length where 90% are mature is 23 cm, age is 2-3 years. [SMALK_Analysis_25.r]Slide10
Length at 90% Maturity as
Reference
P
oint for Size/Age Structure
North Sea cod: fishing mortality
F
and the mean length
Lmean
targeted by fisheries , with
Indication of natural mortality M and length where 90% reach maturity
Lm90
or where fishing
would have the least impact on the stock
Lopt
. [MSFD_8.pdf]
Discards included???Slide11
Average catch in numbers of North Sea cod resulting from one hour of trawling with
standardized survey gears. The bold line represents a three-year moving average to
reduce scatter and facilitate interpretation of trends. The dotted line indicates the mean
catch of the time series. [MSFD_8.pdf]
CPUE
in Area 6Slide12
CPUE by Length
North Sea dab.
a
)shows the raw data. The red line indicates individuals above 50% maturity;
b) shows immature individuals as proxy for recruits; d) shows length converted to biomass of
mature (red) and all fish (black); c) shows total mortality Z over the respective previous two years
and scaled exploitation rate
u+M
, both as a proxies for
F
, with indication of
M
[MSFD_8.pdf].
a)
b
)
c)
d
)Slide13
CPUE by Length
North Sea dab: preliminary stock-recruitment relationship based on CPUE in weight as proxy
biomass of mature fish and number of young fish (= proxy-recruits) two years later, derived from
length composition in standardized survey catches. A hockey stick was fitted by a rule-based
procedure. The dotted vertical line indicates proxy
SSBpa
as the precautionary borderline to
potentially compromised recruitment. [MSFD_8.pdf] Slide14
CPUE by Length
North Sea dab.
a
)shows the raw data. The red line indicates individuals above 50% maturity;
b) shows immature individuals as proxy for recruits; d) shows length converted to biomass of
mature (red) and all fish (black); c) shows total mortality Z over the respective previous two years
and scaled exploitation rate
u+M
, both as a proxies for
F
, with indication of
M
[MSFD_8.pdf].
a)
b
)
c)
d
)Slide15
Catch-MSY Revisited
Martell &
Froese
2013
Output of the Catch-MSY method showing “viable” pairs surplus production rate
r
and
unexploited biomass
k
for North Sea cod. The red line indicates all
r-k
pairs that would result in
the same estimate of
MSY
;
the red circle indicates the geometric. While the estimate of
MSY
is
r
obust, the geometric mean
r
= 0.24 depends on the lower bound for
r
. Slide16
Catch-MSY Improved
Minimizing uncertainty in
r
and
k
leads to an objective lower bound of
r
(blue line)
and to an objective estimate of the maximum rate of population increase
r
= 0.42 and the
corresponding unexploited biomass
k
. Slide17
Stock Status for Data-limited Stocks
North Sea cod: The black line shows the biomass predicted by the CMSY-method. The red line
shows observed total biomass. The vertical blue lines show the prior biomass windows used as
f
ilters by the CMSY-method. The upper dotted line represents the unexploited biomass
k
and
the lower dotted line represents
Bmsy
, as estimated by CMSY.
k
BmsySlide18
Icelandic cod: The black line shows the biomass predicted by the CMSY-method. The red line
shows observed total biomass. The vertical blue lines show the prior biomass windows used as
filters by the CMSY-method. The upper dashed line represents the unexploited biomass
k
, the
middle dotted line represents
Bmsy
, and the lower dashed line represents
Bpa
.
k
Bmsy
BpaSlide19
Exploitation Rate for Data-limited Stocks
Icelandic cod: exploitation rate catch/biomass as predicted by the CMSY method(black line)
a
nd as observed (red line). The dotted line represents a proxy for
MSY
-compatible exploitation.
u
msySlide20
Conclusions
M
is a good proxy for
Fmsy
and 2*
Bpa
is a good proxy for
Bmsy
For most data-limited stocks in the ICES area, DATRAS contains sufficient information to estimate LWR, growth, maturity and relative abundance
Combining survey results with catch data leads to reasonable proxies for stock status and exploitation pressure
Length where 90% of the females reach maturity seems to be a reasonable lower limit reference point for mean length in commercial catches.