Evaluating the use of the Daily Egg Production Method for stock assessment of blue mackerel, Scomber australasicus

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Marine and Freshwater Research, 2009, 60, 112–128                                                       www.publish.csiro.au/journals/mfr

     Evaluating the use of the Daily Egg Production Method for
     stock assessment of blue mackerel, Scomber australasicus

     T. M. WardA,B , P. J. RogersA , L. J. McLeayA and R. McGarveyA
     A South Australian Research and Development Institute, Aquatic Sciences,
       PO Box 120, Henley Beach, SA 5022, Australia.
     B Corresponding author. Email: ward.tim@saugov.sa.gov.au

     Abstract. The present study evaluates the suitability of the Daily Egg Production Method (DEPM) for stock assessment of
     blue mackerel, Scomber australasicus and assesses methodological options for future applications. In southern Australia,
     estimates of mean daily egg production were higher for Californian Vertical Egg Tow (CalVET) nets than bongo nets, and in
     eastern Australia, were higher in October 2003 than July 2004. Estimates of spawning area for southern Australia were three
     times higher for bongo nets than CalVET nets. Similar estimates of spawning area were obtained using standard (manual)
     gridding and natural neighbour methods. Large samples and reliable estimates of all adult parameters were obtained
     for southern Australia. Relatively few spawning adults were collected off eastern Australia. Preliminary best estimates
     of spawning biomass for southern and eastern Australia were 56 228 t and 29 578 t, respectively, with most estimates
     within the ranges of 45 000–68 000 t and 20 000–40 000 t respectively. The DEPM is suitable for stock assessment of
     S. australasicus. Several technical refinements are required to enhance future applications, including: genetic techniques
     for identifying early stage eggs; a temperature–egg development key; improved methods for sampling adults off eastern
     Australia; and measurements of the degeneration rates of post-ovulatory follicles at several temperatures.

     Additional keywords: batch fecundity, scombrids, sex ratio, spawning area, spawning biomass, spawning fraction.

Introduction                                                             The central tenet of the DEPM is that spawning biomass can
The Daily Egg Production Method (DEPM) is acknowledged                be calculated by dividing the mean number of pelagic eggs pro-
to be a suitable technique for stock assessment of small              duced per day throughout the spawning area (i.e. total daily egg
pelagic fishes, especially anchovy (Engraulis spp.) and sardine       production) by the mean number of eggs produced per unit mass
(Sardinops sagax) (Stratoudakis et al. 2006). For example, in         of adult fish (i.e. mean daily fecundity, Parker 1980, 1985). Total
Australia, the method has been applied successfully to S. sagax       daily egg production is the product of mean daily egg production
off Western Australia (Fletcher et al. 1996; Gaughan et al.           (P0 ) and total spawning area (A). Mean daily fecundity is calcu-
2004), South Australia (Ward and McLeay 1998; Ward et al.             lated by dividing the product of mean sex ratio (by weight R),
2001) and Queensland (Staunton Smith and Ward 2000) and               mean batch fecundity (number of oocytes in a batch, F) and mean
was recently assessed as a tool for estimating the spawning           spawning fraction (proportion of mature females spawning each
biomass of redbait (Emmelichthys nitidus) off Tasmania (Neira         night S) by mean female weight (W). Hence, spawning biomass
et al. 2008). The DEPM has been evaluated and used for stock          (SB) is calculated according to the equation:
assessment of chub mackerel (Scomber japonicus) in Japan,                             SB = P0 × A/(R × F × S/W)
which is morphologically and genetically similar to blue mack-
erel (Scomber australasicus) (Watanabe et al. 1999). A related           The DEPM can be applied to fishes that spawn multiple
study of the reproductive biology of S. australasicus suggested       batches of pelagic eggs during an extended spawning season
that the DEPM may be a suitable method for stock assessment           (e.g. Lasker 1985). Data used to estimate the DEPM parame-
of this species (Rogers et al. 2009).                                 ters are obtained during fishery-independent surveys during the
    S. australasicus Cuvier, 1832 is a key species for recreational   spawning season. The key assumptions are that: (1) the survey
anglers throughout Australia, being targeted both as live-bait        is conducted during the main (preferably the peak) spawning
for larger pelagic species and as a table-fish. This species is       season; (2) the entire spawning area is sampled; (3) eggs are
also taken in small quantities in multi-species fisheries in all      sampled without loss and identified without error; (4) levels of
Australian states (Ward and Rogers 2007). S. australasicus is a       egg production and mortality are consistent across the spawning
prescribed quota species for the Commonwealth Small Pelagic           area; and (5) representative samples of spawning adults are col-
Fishery (SPF). The newly developed draft Harvest Strategy for         lected during the survey period (Lasker 1985; Stratoudakis et al.
the SPF identifies the DEPM as the preferred technique for stock      2006). The degree to which these assumptions are met affects the
assessment of quota species.                                          accuracy and precision of estimates of spawning biomass. Some

© CSIRO 2009                                                                              10.1071/MF08134          1323-1650/09/020112
Evaluating the DEPM for Scomber australasicus                                                   Marine and Freshwater Research      113

assumptions, such as that the levels of daily egg production and         Sampling methods
mortality are consistent across the spawning area, are rarely, if         Ichthyoplankton samples were collected using CalVET
ever, fully upheld.                                                   (Californian Vertical Egg Tow) nets (Smith et al. 1985) and
    Estimates of each DEPM parameter, especially mean                 bongo nets. CalVET nets were used in southernAustralian waters
daily egg production, typically have high levels of variance          only and had an internal mouth diameter of 300 mm and mesh
(Stratoudakis et al. 2006). This factor combined with the multi-      size of 330 µm. Nets were deployed to within 10 m of the seabed
plicative nature of the model means that estimates of spawning        at depths 80 m. Bongo
biomass are usually accurate but imprecise (Smith 1993; Hunter        nets used in southern and eastern Australian waters had inter-
and Lo 1997; Stratoudakis et al. 2006).                               nal mouth diameters of 580 and 600 mm respectively. The mesh
    Successful application of the DEPM is more reliant on             sizes of bongo nets were 330 and 500 µm in southern Australia
detailed knowledge of the biological and ecological charac-           and 300 and 500 µm in eastern Australia. In southern Australia,
teristics of the species and population than most other stock         bongo nets were deployed to within 10 m of the seabed at depths
assessment methods (Stratoudakis et al. 2006). Initial studies        110 m. In eastern
necessarily focus on identifying the timing and location of the       Australian waters, bongo nets were deployed to within 2–5 m of
spawning area and tend to place comparatively less emphasis           the seabed in waters up to 200 m deep.
on sampling spawning adults. Collecting representative sam-               Conductivity–depth–temperature recorders (CTDs, usually
ples of spawning adults has proven difficult for some species         Sea-bird Electronics, Bellevue, WA) were usually deployed with
in some locations. As a result, many studies in which the DEPM        the plankton nets. General Oceanics (Miami, FL) flowmeters
has been used for stock assessment of small pelagic fishes have       were used to estimate the distance travelled by each net. Factory
failed to obtain temporally coherent estimates of all parameters      calibrations were used to estimate volumes of water filtered by
(e.g. Lo et al. 1996, 2005). Despite the absence of all the infor-    the two nets. During the surveys in southern Australia, wire
mation required to estimate mean daily fecundity precisely for        length during each net deployment was measured to the near-
the spawning period and/or location being studied, many studies       est cm using a digital meter (General Oceanics). In the eastern
have still succeeded in providing information for fisheries man-      Australian surveys, depth was estimated using a CTD and depth
agement purposes (e.g. Hill et al. 2005). This is because three       sensor (Scanmar, Åsgårdstrand, Norway).
of the population parameters used to estimate mean daily fecun-           In southern Australia, plankton samples from the two cod-
dity, i.e. female weight, sex ratio and batch fecundity, tend to      ends were combined and stored in 5% buffered formaldehyde
be stable between years. Hence, estimates of spawning biomass         and seawater solution. Eastern Australian samples were also
tend to be less sensitive to uncertainty in estimates of mean daily   combined and fixed in 98% ethanol solution.
fecundity than estimates of total mean daily egg production. A
good example of the use of spawning biomass estimates obtained           Egg identification and staging
without the data required to estimate daily fecundity directly           Eggs of S. australasicus were identified using the morpho-
is the sardine stock assessments off the west coast of north-         logical criteria in Ward and Rogers (2007). Identifications were
ern and central America, where estimates of spawning biomass          confirmed using genetic techniques (Ward and Rogers 2007).
were used as indices of abundance for stock assessment mod-           Owing to the uncertainties associated with the identification
elling between 1993–94 and 2004–05, even though adult samples         of early-stage eggs (Ward and Rogers 2007), we only included
required to calculate estimates of reproductive parameters were       early-stage eggs that could be identified as S. australasicus with
not collected between 1995–96 and 2000–01 (Lo et al. 1996,            a high degree of confidence in our analyses. Hence, there may be
2005; Hill et al. 2005).                                              a negative bias in the number of S. australasicus eggs reported.
    The present paper tests the hypothesis that the DEPM is           The potential for bias in the estimates of egg abundance resulting
a suitable technique for estimating the spawning biomass of           from potential misidentification of young eggs was assessed by
S. australasicus in southern and eastern Australia. To do this,       staging sub-samples of eggs from each location as being Day 1
we obtained estimates of P0 , A, W, R, F and S off southern and       or Day 2 to determine the proportion of early-stage eggs in sam-
eastern Australia and assessed the sensitivity of estimates of        ples. Eggs were determined to be either Day 1 or Day 2 based
spawning biomass to variations in estimates of each parameter.        on the criteria of S. japonicus described by Watanabe (1970).

Methods                                                                  Egg density
Total mean daily egg production                                           Egg density under one square metre (m2 ) of water (P) was
                                                                      estimated at each station:
    Timing and location of ichthyoplankton surveys
                                                                                                      C×D
    We conducted extensive surveys (with reduced sampling                                       P=
intensity) to determine the extent of the spawning area, rather                                        V
than conducting intensive surveys to estimate spawning area           where C is the number of eggs in each sample, V is the volume
and mean daily egg production with high levels of precision.          of water filtered (m3 ) estimated using the flowmeters and D is
The need to identify the timing and location of spawning meant        the maximum depth (m) to which the net was deployed.
that sampling designs were refined between surveys, which lim-
ited the potential for direct comparison of annual results. The          Estimating egg production
sites where ichthyoplankton samples were collected are shown             Mean daily egg production is typically estimated by fit-
in Fig. 1.                                                            ting mortality models to estimates of egg abundance by
114        Marine and Freshwater Research                                                                                                              T. M. Ward et al.

                                                                                         (d )                                Fraser Is.   (e)
 (a)

                                                                   Pacific
                                  NT                               Ocean

                  WA                               QLD
                                   SA
                                                   NSW
                                                                                                    Queensland
   35°S
                                                  VIC
                Southern Ocean
                                                        TAS
                               130°E

  (b)                                                    South Australia
                                                                         f
                                                                        ul
                                                                    rG

                                           Eyre Peninsula
                                                                   ce

     Great
                                                               en

   Australian
                                                              Sp

                                                                               Gulf St
     Bight                                                                     Vincent

                                                                                                New South Wales
   35°S                200 m

                                                          Investigator St.
                                                                                                                   Forster
                                   Kangaroo Is.
                                                                                                              Newcastle
   100 km                          135°E                                     Encounter
                                                                               Bay

 (c)
                                                                                                           200 m

                                                                                                                               35°S

                                                                                                                       100 km
                                                                                                  151°E

Fig. 1. (a) Locations where ichthyoplankton samples were collected using (b) a CalVET net and (c) a bongo net from waters off southern Australia during
February–March 2005 and using a bongo net in waters off eastern Australia in (d) October 2003 and (e) July 2004.

age (Picquelle and Stauffer 1985). This approach requires                                            range of values determined for similar pelagic fishes, to calculate
temperature–development keys such as those that have been                                            P0 (Bunn et al. 2000).
developed for S. sagax (White and Fletcher 1996) and north-
ern anchovy (Engraulis mordax) (Lo 1985). Temperature–                                                  Spawning area
development keys of this type have not yet been developed for                                            Spawning area has typically been estimated by manually
S. australasicus. Data from Watanabe (1970) were not suitable                                        dividing the sampling area into a series of contiguous grids
for assigning ages to egg stages.                                                                    (Lasker 1985). The effect of grid size (which is related to
   McGarvey and Kinloch (2001) described a method for esti-                                          sampling intensity) on estimates of spawning area is poorly
mating mean daily egg production from mean egg density and                                           understood. New methods have been developed for optimising
assumed rates of egg mortality. This method assumes that:                                            the distribution of grid boundaries based on the distance between
                                 P0 = if Z > 0                                                       stations, such as the Voronoi natural neighbour (VNN) method.
                                                                                                     The VNN is a geometric estimation technique that generates
where P is the mean density and z is egg mortality. We used                                          regions around each point in the dataset. The method uses an
assumed egg mortality rates of 0.1–0.5 day−1 , which reflect the                                     area-weighting technique to determine a new value for every grid
Evaluating the DEPM for Scomber australasicus                                                                Marine and Freshwater Research           115

  (a)                                                                         (c)

       Great 200                                                                       Great 200
     Australian m                                                                    Australian m
       Bight                                                                           Bight
  35°S

   100 km
                                  135°E

  (b)                                                                         (d )

          Great 200                                                                               20
        Australian m                                                                   Great        0
                                                                                                        m
          Bight                                                                      Australian
                                                                                       Bight

                                         (e)

                                                 Great      20
                                                              0
                                                                  m
                                               Australian
                                                 Bight

Fig. 2. Grid areas used to estimate spawning area using contiguous and Voronoi natural neighbour (VNN) grids at sites sampled using a Californian Vertical
Egg Tow (CalVET) net (a and b, respectively), and using small uniform, contiguous and VNN grids at sites using a bongo net (c, d and e respectively) in
waters off southern Australia during February–March 2005.

node. At each node, a region is generated that overlies portions of            and VNN methods were also compared (MAPINFO version 8
the surrounding regions defining each point. Natural neighbour-                Vertical Mapper, Figs 2, 3).
hoods are built around data points using Delaunay triangulation.
                                                                               Adult reproductive parameters
A network of polygons is generated from the point locations
(MAPINFO version 8; Pitney Bowes MapInfo Corporation,                             Adult sampling
North Greenbush, NY, USA; www.mapinfo.com). We examined                           Most fish were collected using lines and lures, small baits or
the effect of grid size on estimates of spawning area by compar-               baitfish jigs. Some samples were also collected using a monofil-
ing estimates calculated from data obtained using the CalVET                   ament gill-net (mesh size 65 mm). In southern Australia, samples
and bongo nets using small uniformly-sized grids and larger non-               were collected from research cruises in Gulf St Vincent (GSV),
uniform contiguous grids that covered the entire spawning area.                Backstairs Passage (BP), Investigator Strait (IS), Spencer Gulf
Estimates of spawning area calculated using the Lasker (1985)                  (SG) and the eastern Great Australian Bight (GAB) (EGAB,
116       Marine and Freshwater Research                                                                                                T. M. Ward et al.

  (a)                           (b)                           (c)                            (d )                          (e)

                        35°S

                      100 km
        151°E

Fig. 3. Grid areas used to estimate spawning area for sites sampled in waters off eastern Australian in October 2003 using (a) small uniform and (b) large
uniform grids and in July 2004 using (c) uniform grids, (d) contiguous grids and (e) Voronoi natural neighbour (VNN) generated grids.

Fig. 4). Off eastern Australia, samples were collected from                       Batch fecundity
research surveys, gamefishing tournaments and recreational                         Mean-weighted batch fecundity was estimated from stage
catches (Fig. 4). Gonads were removed from mature females and                  IV (hydrated) ovaries collected in South Australia using the
fixed in 5% buffered formaldehyde solution. Immature females                   gravimetric method (Hunter et al. 1985). Both ovaries were
and males were frozen.                                                         weighed and the number of hydrated oocytes in three ovarian
   Female weight                                                               sub-sections were counted and weighed. The total batch fecun-
   Mature females from each sample were removed from                           dity for each female was calculated by multiplying the mean
formaldehyde and weighed (±0.01 g). The mean weight of                         number of oocytes per gram of ovary segment by the total weight
mature females in the population was calculated from the average               of the ovaries.
of sample means weighted by proportional sample size:                             The relationship between ovary-free fish weight and batch
                                     ni 
                                                                               fecundity was determined by linear and allometric regression
                       W =  Wi ×                                              analysis and used to estimate the batch fecundity of mature
                                      N                                        females. Shapiro–Wilk tests (Origin version 7.5; OriginLab
where W i is the mean female weight of each sample i, n is the                 Corporation, Northampton, MA, USA; www.OriginLab.com)
number of fish in each sample and N is the total number of fish                showed the normality of the error terms and estimates.
collected in all samples.
                                                                                  Spawning fraction
    Sex ratio
                                                                                   Ovaries of mature females were sectioned and stained with
    The mean sex ratio of mature fish in the population was calcu-             haematoxylin and eosin. Several sections from each ovary were
lated from the average of sample means weighted by proportional                examined to determine the presence or absence of post-ovulatory
sample size:                                                                   follicles (POFs). POFs were assigned approximate ages accord-
                                      ni 
                        R =  Ri ×                                             ing to the criteria developed by Hunter and Macewicz (1985)
                                       N                                       for northern anchovy (Engraulis australis) and Dickerson et al.
where n is the number of fish in each sample, N is the total                   (1992) for chub mackerel S. japonicus.
number of fish collected in all samples and Ri is the mean sex                    The spawning fraction of each sample was estimated:
ratio of each sample
                                                                                                           [(d0 + d1+ POFs)/2]
                         Ri =
                                   F                                                                Si =
                               (F + M)                                                                              ni

where F and M are the respective total weights (g) of mature                   where d0 POFs includes the number of females with hydrated
females and males in each sample i.                                            ovaries and d0 POFs, d1+ POFs is the number of females with
Evaluating the DEPM for Scomber australasicus                                                                Marine and Freshwater Research              117

                         South Australia

                                                                                                                                                  North
                                                                                           New South Wales

                                   Spencer Gulf
                                                                                                                                                Middle
            Great                                     Gulf St Vincent
          Australian
  35°S      Bight

                                    Investigator Strait                                                                                  Pacific Ocean

                                                   Encounter
                                                     Bay
                                                                                                                                                  South
                                                                                        Victoria
      Southern Ocean                                      200 m                                                              200 m

                                                                                                 Bass
                                                                                                 Strait
                                                                                                                            Tasman Sea

                       Australia

                                                                                                 Tasmania

                                                                                                                                           km
                                                                                                                                     0      100       200
                                                                                                                           150°E

      Fig. 4.   Locations in southern and eastern Australia where adult samples were collected for the estimation of adult reproductive parameters.

POFs > 24-h old and ni is the total number of females in a                     daily fecundity was calculated using the overall estimates of
sample.                                                                        mean female weight, mean sex ratio, mean batch fecundity and
   The mean spawning fraction of the population was estimated                  mean spawning fraction obtained for southern Australia.
from the average of sample means weighted by proportional                         The minimum and maximum spawning biomass of S. aus-
sample size.                                                                   tralasicus for southernAustralia in 2005 was calculated using the
                                  ni                                         estimate of each parameter that produced the minimum (i.e. most
                     S =  Si ×
                                   N                                           conservative) and maximum (i.e. least conservative) estimate of
                                                                               spawning biomass respectively. Minimum estimates were cal-
where n is the number of fish in each sample, N is the total number            culated using data from the bongo net, an egg mortality rate of
of fish collected in all samples and S i is the mean spawning                  0.1 day−1 , uniform/similar-sized grid squares and the estimate
fraction estimate of each sample.                                              of each adult parameter for a single season that produced the
                                                                               minimum estimate of spawning biomass. Maximum estimates
Spawning biomass                                                               were calculated using data from the bongo net, an egg mortality
We calculated minimum, best and maximum estimates of the                       rate of 0.5 day−1 , the VNN method and the least conservative
spawning biomass of S. australasicus for southern Australia                    estimates of mean female weight, mean sex ratio, mean batch
in 2005. The best estimate of mean daily egg production was                    fecundity and mean spawning fraction for a single season off
calculated using data from the bongo net and an egg mortal-                    southern Australia.
ity rate of 0.3 day−1 . The best estimate of spawning area was                     For eastern Australia, the minimum, best and maximum esti-
calculated using data from the bongo net and the contiguous                    mates of spawning biomass were calculated using egg data from
‘original’ (Lasker 1985) technique. The best estimate of mean                  the July 2004 survey, daily egg mortality rates of 0.1, 0.3 and
118        Marine and Freshwater Research                                                                                           T. M. Ward et al.

Table 1. Summary of ichthyoplankton surveys conducted in southern and eastern Australian waters to evaluate the application of the Daily Egg
                                                     Production Method (DEPM)
                                                 CalVET = Californian Vertical Egg Tow

Location                 Survey date                     Net type      No.                 No.         %           No. eggs            Mean egg
                                                                     stations            positive   positive      (% Day 1)        density (eggs m−2 )
                                                                     sampled             stations   stations                             (± s.e.)

Southern Australia       5 Feb–19 Mar 2005               CalVET        334                  35       10.5           127 (59)          23.5 (±6.1)
                                                         Bongo         152                  54       35.5           512 (55)          18.0 (±5.7)
Eastern Australia        1–7 October 2003                Bongo          74                  29       39.2         1 639 (10)          41.7 (±25.4)
                         20–27 July 2004                 Bongo          85                  45       52.9           873 (42)          12.4 (±5.1)

                                                              2005 CalVET                                                            2005 bongo

  34°S

   Egg density m2
      0
      0–10
      10–50
      50–100                                     km
      100–1000                     135°E   0   25 50 75 100                           km
                                                                                0   25 50 75 100

Fig. 5. Distribution and abundance of Scomber australasicus eggs at sites sampled using a Californian Vertical Egg Tow (CalVET) net and a bongo net in
waters off southern Australia during February–March 2005.

0.5 day−1 and uniform grids, contiguous grids and the VNN                       biomass. The sensitivity analyses were done by calculating esti-
method respectively. Estimates of mean female weight and mean                   mates of spawning biomass for southern and eastern Australia
sex ratio were calculated using data from eastern Australia.                    using the best estimates of five parameters (e.g. P, A, W, R, S) and
Mean batch fecundity was calculated by applying the relation-                   by varying the estimate of the parameter being tested (e.g. F) over
ship between ovary-free female weight and batch fecundity from                  an appropriate range of values. The range of values examined
southern Australia to the estimate of mean female size from east-               for each parameter were those used to calculate the minimum,
ern Australia. Estimates of mean spawning fraction for southern                 best and maximum estimates of the spawning biomass in each
Australia were used in the analysis owing to the lack of data from              location.
eastern Australia.
   Standard errors for the estimates of spawning biomass for
southern and eastern Australia were calculated using the delta                  Results
method of Parker (1985), modified to include sample variance in                 Egg abundance, density and daily egg production
the sex ratio and ignoring the covariance terms. A delta method                 Off southern Australia, more S. australasicus eggs were col-
approximation was also used to estimate a s.e. for P0 , when                    lected using the bongo net than the CalVET (Table 1). The
the s.e. of mean egg density is known and P0 is inferred from                   patterns of distribution and abundance of eggs determined using
an assumed egg mortality value (i.e. 0.3 day−1 ) using the equa-                the two types of net were generally similar, with eggs present at
tion of McGarvey and Kinloch (2001), which assumes an egg                       sites located in the southern parts of both gulfs, in Investigator
duration of 2 days.                                                             Strait and in shelf waters south of the Eyre Peninsula (Figs 1, 5).
                                                                              Approximately 35.5% of samples obtained using the bongo net
                               Z                     
          s.e.(P0 ) =                     × s.e. × P                            contained eggs, whereas only 10.5% of CalVET net samples
                        1 − exp[−2 · Z]                                         contained eggs.
                                                                                    Mean egg density estimated using the CalVET data was
Sensitivity analysis                                                            higher than the estimate obtained from bongo net data (Table 1,
Sensitivity analyses were undertaken to determine the effects                   Mann–Whitney Test, Z = −3.578, P < 0.001). Estimates of
of variations in each parameter on the estimates of spawning                    mean daily egg production obtained from the CalVET net were
Evaluating the DEPM for Scomber australasicus                                                                      Marine and Freshwater Research      119

Table 2. Estimates of egg production calculated for different spawning                   higher than for the bongo net (Table 2). Day-1 eggs comprised
  area grid weightings for surveys in southern and eastern Australia                     less than 60% of eggs obtained using both bongo and CalVET
                CalVET = Californian Vertical Egg Tow                                    nets, which suggest that the potential for a significant positive
                                                                                         bias in egg production resulting from the misidentification of
Location    Year/net type      Egg mortality                     Egg production          young eggs was low (Table 1).
                               rate (Z day−1 )                                               In October 2003 and July 2004, 1639 and 837 eggs, respec-
                                                          05 CalVET        05 bongo      tively, were collected from easternAustralia (Table 1). In October
Southern    2005                    0.1                      12.99            9.94       2003, S. australasicus eggs were abundant in shelf waters in
Australia   CalVET/bongo            0.2                      14.28          10.93        the northern portion of the sampling area only (mainly north
                                    0.3                      15.65           11.98       of Forster), whereas in July 2004 eggs were abundant in shelf
                                    0.4                      17.10           13.10       waters throughout the entire area surveyed between Indian
                                    0.5                      18.62           14.25       Head, Fraser Island, Queensland and Newcastle, NSW (Table 1,
                                                          03 bongo         04 bongo      Figs 1, 6).
Eastern     2003–04 bongo           0.1                    23.01              6.82           Mean egg density and P0 were higher in 2003 than in 2004
Australia                           0.2                    25.31              7.50       (Tables 1, 2). Day-1 eggs comprised less than 10 and 42% of
                                    0.3                     27.74             8.22       eggs collected in 2003 and 2004, respectively (Table 1), which
                                    0.4                     30.30             8.98       suggests that the potential for a positive bias in egg production
                                    0.5                     33.00             9.78
                                                                                         resulting from the misidentification of young eggs was low.

                                                                 October 2003                                                             July 2004

                                                                                  35°S

                                                                        Egg density m2
                                                                            0
                                                                            0–10
                                                                            10–50
                                                                            50–100

                                                                            100–1000
                       151°E           0   25   50   75    100

            Fig. 6.   Distribution and abundance of Scomber australasicus eggs at sites in eastern Australian in October 2003 and July 2004.
120        Marine and Freshwater Research                                                                                 T. M. Ward et al.

Spawning area                                                          combined was 0.46. There were no geographical or temporal
The total survey area in southern Australia in 2005 was similar        trends in sex ratio.
for the CalVET net and bongo net (Figs 2, 3, Table 3). As the             The mean weighted sex ratio for eastern Australia for all years
percentage of samples containing eggs was much higher for the          was 0.50 (Table 5).
bongo net than for the CalVET net (Table 1), the estimates of
spawning area obtained using the bongo net were higher than            Batch fecundity
those for the CalVET net (Table 3). For both the bongo net and         Ovaries contained between 14 349 and 105 193 hydrated oocytes
the CalVET net, estimates obtained using the contiguous grids          for females weighing 234.9 g and 607.4 g (gonad free weight)
and VNN were similar (Table 3; Figs 2, 3).                             respectively. The allometric model fitted the data better than a
   The estimate of spawning area for eastern Australia obtained        linear one (Fig. 7). Estimates of weighted mean batch fecundity
using the small uniform grid squares, which covered ∼45% of            for individual samples calculated using the relationship shown in
the total survey area was much lower than the estimate obtained        Fig. 7 ranged from 37 284 g in Spencer Gulf in 2001–02 to 91 113
using the larger grid squares that covered the entire sampling         in Encounter Bay in 2003–04 (Table 4). Whole-of-season means
area (Table 3). Limitations in the sampling design prevented           ranged from 46 468 eggs in 2002–03 to 55 053 in 2003–04.
estimation of the spawning area using theVNN for October 2003.         The overall mean batch fecundity in southern Australia was
    Estimates of spawning area obtained off eastern Australia in       52 182 eggs (Table 4).
July 2004 using uniformly sized grids, which covered ∼83% of               Based on the relationship between ovary-free fish weight and
the sampling area, were larger than those obtained using larger        batch fecundity for southern Australia, the overall mean batch
continuous grids that covered the entire sampling area and the         fecundity in eastern Australia was 22 085 eggs (Table 5).
VNN method (Fig. 3, Table 3).
                                                                       Spawning fraction
Female weight                                                          Of the 702 mature females collected from southern Australian
Estimates of weighted mean female weights for individual               waters, 153 had Day-0 POFs, 49 had Day 1+ POFs and 61 had
regions off southern Australia within a season ranged between          hydrated oocytes (Table 6). Estimates of weighted mean spawn-
357.8 g in Spencer Gulf in 2001–02 and 668.4 g in Encounter Bay        ing fraction for individual regions within a season ranged from
in 2003–04. All estimates of mean female weight for Encounter          0.0 at Encounter Bay (EB) in 2002–03 and 2003–04 and 0.23 in
Bay, Investigator Strait, and the Great Australian Bight were          SG in 2003–04 (Table 6). Whole-of-season means ranged from
>500 g, whereas all estimates of mean female weight for Gulf           0.05 in 2002–03 and 0.18 in 2001–02. The overall estimate of
St Vincent and Spencer Gulf were less than 470 g. Whole-               weighted mean spawning fraction was 0.14.
of-season means ranged from 408.2 g in 2002–03 to 473.6 in                No data were collected on spawning fraction in eastern
2003–04, which reflects the predominance of samples from the           Australia.
two gulfs. The weighted mean value for all samples combined
was 452 g.                                                             Spawning biomass
   Weighted mean weight of mature females off eastern                  The best estimate of spawning biomass for southern Australia
Australia was calculated from 50 samples containing a total of         in 2005 was ∼56 288 t (±19 157 s.e.). The minimum and
186 (stage III–V) females (Table 5). Mean female weight was            maximum estimates were 11 342 t and 293 456 t respectively
267.3 g.                                                               (Table 7).
                                                                          The best estimate of spawning biomass for eastern Australia
Sex ratio                                                              was ∼29 578 t (±12 853 s.e.). The minimum and maximum
Estimates of weighted mean sex ratio for individual regions            estimates were 11 096 t and 157 166 t respectively (Table 7).
off southern Australia within a season ranged between 0.31 in
Spencer Gulf in 2004–05 and 0.76 in Spencer Gulf in 2002–03            Sensitivity analysis
(Table 4). Whole-of-season means ranged from 0.36 in 2004–05           The sensitivity analysis showed that estimates of spawning
to 0.65 in 2002–03. The mean weighted sex ratio for all years          biomass for southern Australia were most affected by variations

Table 3. Estimates of spawning area calculated using uniform grids, contiguous grids and the Voronoi natural neighbour (VNN) method using
a Californian Vertical Egg Tow (CalVET) net and a bongo net in waters off southern Australia during February–March 2005 and a bongo net in
                                         waters off eastern Australia in October 2003 and July 2004

Location                   Year/net type       No. stations        Survey                              Spawning area
                                                sampled             area           Uniform/similar        Contiguous          VNN method
                                                                                     sized grids            grids               grids

Southern Australia         2005 CalVET             334             108 961             11 840               11 840               11 898
                           2005 bongo              152             119 603             17 451               34 895               36 370
Eastern Australia          2003 bongo               74              30 422              5931                10 078
                           2004 bongo               85              38 974             17 503               20 811               21 019
Table 4. Adult reproductive parameters, mean female weight, sex ratio and batch fecundity of blue mackerel obtained from samples collected from South Australian waters between
                                                                                       2001 and 2006
                               IS = Investigator Strait, SG = Spencer Gulf, EB = Encounter Bay, GSV = Gulf St Vincent, EGAB = eastern Great Australian Bight

Season          Sampling period                Region       No.         No.       Males      Females   Mean      Mean       Total    Total      Sex        Mean  wt        Mean batch
                                                          samples       fish                            wt (g)   wt (g) W i    wt (g)    wt (g)   ratio Ri   (gonad free) (g)    fecundity
                                                                                                                                                                                             Evaluating the DEPM for Scomber australasicus

2001–02         2 Feb 2002                     IS             1          46            19      27       480.6    502.7          9132    13 572     0.60           485.8          61 158
                11 Apr 2002                    SG             1          48            26      22       325.2    357.8          8456     7871      0.48           353.8          37 284
                                                                         94A           45A     49A               437.6B                            0.54B                         50 439B
2002–03         17–24 Mar 2003                 EB             2          30            17      13       615.7    645.4         10 467    8390      0.44           614.8          88 345
                28 Jan–25 Mar 2003             GSV            4          44            22      22       292.1    394.7          6426     8682      0.57           376.5          41 083
                12 Mar–7 Apr 2003              SG             3          97            23      74       367.7    370.5          8458    27 420     0.76           360.7          38 427
                                                                        171A           62A    109A               408.2B                            0.65B                         46 468B
2003–04         5 Feb 2004                     EB             1          25         11         14       581.8    668.4          6400     9358      0.59           627.0          91 113
                25 Jan–18 Mar 2004             EGAB           3         190        109         81       549.8    531.2         59 925   43 029     0.42           515.5          67 114
                5 Nov 2003–27 Apr 2004         GSV           15         493        294        199       427.0    442.0        125 536   87 951     0.41           419.3          48 601
                14 Dec 2003–14 Apr 2004        SG             7         390        197        193       415.9    468.0         81 939   90 316     0.52           442.4          52 853
                                                                       1098A       611A       487A               473.6B                            0.46B                         55 053B
2004–05         8 Nov 2004–20 Apr 2005         GSV            9         185        107         78       373.9    404.5         40 008   31 548     0.44           385.5          42 627
                17 Dec 2004–21 Apr 2005        SG             5         277        195         82       400.9    437.6         78 168   35 886     0.31           446.4          53 606
                                                                        462A       302A       160A               421.5B                            0.36B                         48 961B
2005–06         19 Jan 2006                    SG             1          12            5        7       358.3    428.2          1792      2997     0.63           415.0          47 832
                                                                         12A           5A       7A               428.2B                            0.63B                         47 832B
Grand totals/means – all seasons                                       1837A      1025A       812A               452.00B                           0.46B                         52 182B

A Total   number of fish collected. B Mean value weighted by individual sample size.
                                                                                                                                                                                             Marine and Freshwater Research
                                                                                                                                                                                             121
122                                                                                                                                                                 Marine and Freshwater Research                                                                                                                                                                                                                        T. M. Ward et al.
                                                                                                                                                                    Mean batch

                                                                                                                                                                                                                                                                                                                                                                      in estimates of spawning area and spawning fraction. Esti-
                                                                                                                                                                     fecundity

                                                                                                                                                                                      29 127B

                                                                                                                                                                                      25 105B

                                                                                                                                                                                      21 095B

                                                                                                                                                                                      24 421B
                                                                                                                                                                                      22 085B
                                                                                                                                                                                      17 764
                                                                                                                                                                                      31 946
                                                                                                                                                                                      29 605

                                                                                                                                                                                      25 836
                                                                                                                                                                                      23 737
                                                                                                                                                                                      25 430

                                                                                                                                                                                      20 920
                                                                                                                                                                                      20 716
                                                                                                                                                                                      22 015
                                                                                                                                                                                      18 884

                                                                                                                                                                                      24 757
                                                                                                                                                                                                                                                                                                                                                                      mates of spawning biomass obtained by varying other param-
                                                                                                                                                                                                                                                                                                                                                                      eters within the bounds of information obtained in the study
                                                                                                                                                                                                                                                                                                                                                                      suggest that the spawning biomass in the survey area in south-
 Table 5. Adult reproductive parameters, mean female weight and sex ratio of blue mackerel obtained from samples collected from NSW waters between 2002 and 2005

                                                                                                                                                                                                                                                                                                                                                                      ern Australia during 2005 ranged between ∼45 000 and 68 000 t.
                                                                                                                                                                   (gonad free) (g)

                                                                                                                                                                                                                                                                                                                                                                      (Fig. 8). Only the estimate of spawning area obtained using small
                                                                                                                                                                     Mean  wt

                                                                                                                                                                                                                                                                          256.1B
                                                                                                                                                                                                                                                                                                                                                                      uniform grid squares produced a lower estimate of spawning
                                                                                                                                                                                      220.1
                                                                                                                                                                                      320.5
                                                                                                                                                                                      305.3

                                                                                                                                                                                                          279.8
                                                                                                                                                                                                          265.0
                                                                                                                                                                                                          276.9

                                                                                                                                                                                                                               244.4
                                                                                                                                                                                                                               242.9
                                                                                                                                                                                                                               252.5
                                                                                                                                                                                                                               228.9

                                                                                                                                                                                                                                                    272.2
                                                                                                                                                                                                                                                                                                                                                                      biomass (∼28 000 t). Only values of spawning fraction less than
                                                                                                                                                                                                                                                                                                                                                                      0.10 produced estimates of spawning biomass that were greater
                                                                                                                                                                                                                                                                                                                                                                      than 80 000 t.
                                                                                                                                                                                                                                                                                                                                                                         The sensitivity analysis showed that estimates of spawning
                                                                                                                                                                    ratio Ri

                                                                                                                                                                                      0.39B

                                                                                                                                                                                      0.53B

                                                                                                                                                                                      0.52B                                                                                                                                                                           biomass for eastern Australia were most affected by variations
                                                                                                                                                                      Sex

                                                                                                                                                                                      0.5B

                                                                                                                                                                                      0.5B
                                                                                                                                                                                      0.28
                                                                                                                                                                                      0.48
                                                                                                                                                                                      0.38

                                                                                                                                                                                      0.45

                                                                                                                                                                                      0.26
                                                                                                                                                                                      0.37
                                                                                                                                                                                      0.52
                                                                                                                                                                                      0.46

                                                                                                                                                                                      0.55
                                                                                                                                                                                      0.6

                                                                                                                                                                                                                                                                                                                                                                      in estimates of spawning fraction (Fig. 9). Estimates of spawn-
                                                                                                                                                                                      1

                                                                                                                                                                                                                                                                                                                                                                      ing biomass obtained by varying the other parameters within the
                                                                                                                                                                                                                                                                                                                                                                      bounds of information obtained in our study suggest that the
                                                                                                                                                                                       3145A

                                                                                                                                                                                       7648A

                                                                                                                                                                                      34 096A

                                                                                                                                                                                       4835A
                                                                                                                                                                                      49 724A
                                                                                                                                                                   Total 
                                                                                                                                                                    wt (g)

                                                                                                                                                                                         230
                                                                                                                                                                                         673
                                                                                                                                                                                       2243

                                                                                                                                                                                         858
                                                                                                                                                                                       3332
                                                                                                                                                                                       3458

                                                                                                                                                                                         502
                                                                                                                                                                                       1778
                                                                                                                                                                                      25 836
                                                                                                                                                                                       5980

                                                                                                                                                                                       4835

                                                                                                                                                                                                                                                                                                                                                                      spawning biomass in the survey area off eastern Australia dur-
                                                                                                                                                                                                                                                                                                                                                                      ing 2005 ranged between ∼20 000 and 40 000 t. Only assumed
                                                                                                                                                                                                                                                                                                                                                                      values of spawning fraction less than 0.10 produced estimates
                                                                                                                                                                                                                                                                                                                                                                      of spawning biomass that were greater than 40 000 t.
                                                                                                                                                                                       5013A

                                                                                                                                                                                       6358A

                                                                                                                                                                                      35 609A

                                                                                                                                                                                       3929A
                                                                                                                                                                                      50 909A
                                                                                                                                                                   Total 
                                                                                                                                                                    wt (g)

                                                                                                                                                                                         582
                                                                                                                                                                                         727
                                                                                                                                                                                       3703

                                                                                                                                                                                           0
                                                                                                                                                                                       2189
                                                                                                                                                                                       4169

                                                                                                                                                                                       1441
                                                                                                                                                                                       3004
                                                                                                                                                                                      24 243
                                                                                                                                                                                       6922

                                                                                                                                                                                       3929

                                                                                                                                                                                                                                                                                                                                                                      Discussion
                                                                                                                                                                   wt (g) W i
                                                                                                                                                                    Mean 

                                                                                                                                                                                      314.5B

                                                                                                                                                                                      283.2B

                                                                                                                                                                                      258.3B

                                                                                                                                                                                      284.4B
                                                                                                                                                                                      267.3B
                                                                                                                                                                                      229.6
                                                                                                                                                                                      336.4
                                                                                                                                                                                      320.4

                                                                                                                                                                                      277.7
                                                                                                                                                                                      288.2

                                                                                                                                                                                      251.2

                                                                                                                                                                                      263.6
                                                                                                                                                                                      239.2

                                                                                                                                                                                      284.4

                                                                                                                                                                                                                                                                                                                                                                      Mean daily egg production
                                                                                                                                                                                      286

                                                                                                                                                                                      254

                                                                                                                                                                                                                                                                                                                                                                      The large differences in the number of eggs collected using the
                                                                                                                                                                                                                                                                                                                                                                      CalVET and bongo nets in southern Australia in 2005 reflects
                                                                                                                                                                                                                                                                                                                                                                      the larger quantity of water sampled by bongo nets compared
                                                                                                                                                                   Mean 
                                                                                                                                                                    wt (g)

                                                                                                                                                                                      291.3
                                                                                                                                                                                      242.3
                                                                                                                                                                                      336.7

                                                                                                                                                                                                          243.2

                                                                                                                                                                                                                               288.1
                                                                                                                                                                                                                               300.4

                                                                                                                                                                                                                               266.2

                                                                                                                                                                                                                                                    261.9
                                                                                                                                                                                                            0

                                                                                                                                                                                                          278

                                                                                                                                                                                                                               240

                                                                                                                                                                                                                                                                                                                                                                      with CalVET nets. The finding that estimates of mean egg den-
                                                                                                                                                                                                                                                                                                                                                                      sity are greater for the CalVET than the bongo net suggests that
                                                                                                                                                                                                                                                                                                                                                                      the type or size of plankton net affects the estimates of egg pro-
                                                                                                                                                                                       10A

                                                                                                                                                                                       27A

                                                                                                                                                                                      132A

                                                                                                                                                                                       17A
                                                                                                                                                                                      186A

                                                                                                                                                                                                                                                                                                                                                                      duction. This result has implications for other DEPM studies that
                                                                                                                                                                   n

                                                                                                                                                                                        1
                                                                                                                                                                                        2
                                                                                                                                                                                        7

                                                                                                                                                                                        3
                                                                                                                                                                                       12
                                                                                                                                                                                       12

                                                                                                                                                                                        2
                                                                                                                                                                                        7
                                                                                                                                                                                       98
                                                                                                                                                                                       25

                                                                                                                                                                                       17

                                                                                                                                                                                                                                                                                                                                                                      typically use one type of net (usually a CalVET net) to estimate
                                                                                                                                                                                                                                                                                                                                                                      egg production. At this stage, it is unclear which of the estimates
                                                                                                                                                                                       16A

                                                                                                                                                                                       24A

                                                                                                                                                                                      142A

                                                                                                                                                                                       15A
                                                                                                                                                                                      197A

                                                                                                                                                                                                                                                                                                                                                                      of egg production (i.e. those obtained using CalVET or bongo
                                                                                                                                                                   n

                                                                                                                                                                                        2
                                                                                                                                                                                        3
                                                                                                                                                                                       11

                                                                                                                                                                                        0
                                                                                                                                                                                        9
                                                                                                                                                                                       15

                                                                                                                                                                                        5
                                                                                                                                                                                       10
                                                                                                                                                                                      101
                                                                                                                                                                                       26

                                                                                                                                                                                       15

                                                                                                                                                                                                                                                                                                                                                                      nets) are more suitable for estimating egg production, or why
                                                                                                                                                                                                                                                                                         number of fish collected. B Mean value weighted by individual sample size.

                                                                                                                                                                                                                                                                                                                                                                      the estimates differ. On this basis, we used data from the bongo
                                                                                                                                                                    N fish

                                                                                                                                                                                       26A

                                                                                                                                                                                       51A

                                                                                                                                                                                      274A

                                                                                                                                                                                       32A
                                                                                                                                                                                      383A

                                                                                                                                                                                                                                                                                                                                                                      nets (which are more conservative, and also available for eastern
                                                                                                                                                                                        3
                                                                                                                                                                                        5
                                                                                                                                                                                       18

                                                                                                                                                                                        3
                                                                                                                                                                                       21
                                                                                                                                                                                       27

                                                                                                                                                                                        7
                                                                                                                                                                                       17
                                                                                                                                                                                      199
                                                                                                                                                                                       51

                                                                                                                                                                                       32

                                                                                                                                                                                                                                                                                                                                                                      Australia) to determine the ‘best’ estimates of egg production
                                                                                                                                                                                                                                                                                                                                                                      for the present study.
                                                                                                                                                                    N samples

                                                                                                                                                                                                                                                                                                                                                                          There are several other reasons why the estimates of mean
                                                                                                                                                                                                                                                                          50A

                                                                                                                                                                                                                                                                                                                                                                      daily egg production for both southern and eastern Australia may
                                                                                                                                                                                      1
                                                                                                                                                                                      2
                                                                                                                                                                                      3

                                                                                                                                                                                                          1
                                                                                                                                                                                                          6
                                                                                                                                                                                                          5

                                                                                                                                                                                                                                1
                                                                                                                                                                                                                                6
                                                                                                                                                                                                                               13
                                                                                                                                                                                                                                8

                                                                                                                                                                                                                                                    4

                                                                                                                                                                                                                                                                                                                                                                      be conservative. Most importantly, estimates of egg production
                                                                                                                                                                                                                                                                                                                                                                      obtained using the method of McGarvey and Kinloch (2001) are
                                                                                                                                                                                                                                                                                                                                                                      consistently lower than those obtained using the internationally
                                                                                                                                                                                                                               Unknown

                                                                                                                                                                                                                                                    Unknown

                                                                                                                                                                                                                                                                                                                                                                      accepted method of Picquelle and Stauffer (1985). For exam-
                                                                                                                                                                                      Middle

                                                                                                                                                                                                          Middle

                                                                                                                                                                                                                               Middle
                                                                                                                                                                    Region

                                                                                                                                                                                      North

                                                                                                                                                                                                          North

                                                                                                                                                                                                                               North
                                                                                                                                                                                      South

                                                                                                                                                                                                          South

                                                                                                                                                                                                                               South

                                                                                                                                                                                                                                                                                                                                                                      ple, the estimate of mean daily egg production of sardine off
                                                                                                                                                                                                                                                                                                                                                                      eastern Australia in July 2004 (i.e. 35.63 eggs m−2 ) obtained
                                                                                                                                                                                                                                                                                                                                                                      using the method of McGarvey and Kinloch (2001) was almost
                                                                                                                                                                                                                                                    13 July–11 Aug 2005
                                                                                                                                                                                                                               13 Aug–28 Oct 2004
                                                                                                                                                                                                          9 Aug–22 Sept 2003

                                                                                                                                                                                                                                                                                                                                                                      50% lower than the value obtained using the internationally
                                                                                                                                                                                                                               16 July–4 Aug 2004
                                                                                                                                                                                      30 Aug–4 Oct 2002

                                                                                                                                                                                                                               14 Aug–3 Oct 2004
                                                                                                                                                                                                          6 July–17 Oct 2003
                                                                                                                                                                                      20–23 Sept 2002

                                                                                                                                                                                                                                                                                                                                                                      accepted linear version of the exponential mortality model (i.e.
                                                                                                                                                                    Sampling period

                                                                                                                                                                                                                                                                                                                                                                      69.96 eggs day−1 m−2 , Ward and Rogers 2007) of Picquelle and
                                                                                                                                                                                      23 Oct 2002

                                                                                                                                                                                                          10 Oct 2003

                                                                                                                                                                                                                               8 Jul 2004

                                                                                                                                                                                                                                                                                                                                                                      Stauffer (1985). As shown in Figs 8 and 9, variations in estimates
                                                                                                                                                                                                                                                                                                                                                                      of egg production have a directly proportional effect on estimates
                                                                                                                                                                                                                                                                                                                                                                      of spawning biomass, i.e. a two-fold increase in egg production
                                                                                                                                                                                                                                                                                                                                                                      results in a doubling of the spawning biomass. The estimates of
                                                                                                                                                                                                                                                                                                                                                                      daily egg mortality (i.e. Z = 0.1, 0.3, 0.5 day−1 ) used to calculate
                                                                                                                                                                                                                                                                           Grand total

                                                                                                                                                                                                                                                                                                                                                                      the minimum, best and maximum estimates of egg production in
                                                                                                                                                                                                                                                                                         A Total

                                                                                                                                                                                                                                                                                                                                                                      the present study are also conservative values for small pelagic
                                                                                                                                                                                      2002

                                                                                                                                                                                                          2003

                                                                                                                                                                                                                               2004

                                                                                                                                                                                                                                                    2005
                                                                                                                                                                    Year

                                                                                                                                                                                                                                                                                                                                                                      fishes (see Bunn et al. 2000).
Evaluating the DEPM for Scomber australasicus                                                                                                Marine and Freshwater Research       123

                                         200 000       Batch fecundity  3.9ovary-free wt1.56                                 Batch fecundity  3e-08FL4.88
  Batch fecundity (n hydrated oocytes)

                                                       r2  0.68                                                              r2  0.71
                                         160 000       N  58

                                         120 000

                                          80 000

                                          40 000

                                               0
                                                   0            200        400          600             800             200         250       300        350         400       450
                                                                  Ovary-free weight (g)                                                      Fork length (mm)

Fig. 7. Relationship between (left) ovary-free bodyweight and (right) fork length and batch fecundity for Scomber australasicus sampled in South Australian
between 2002 and 2005.

Table 6. Spawning fraction estimates of blue mackerel obtained from samples collected from South Australian waters between 2001–02 and
                                                                     2004–05
        POF = post-ovulatory follicles, SG = Spencer Gulf, EB = Encounter Bay, GSV = Gulf St Vincent, EGAB = eastern Great Australian Bight

Season                                             Sampling period                     Region         Sample          No. Day-0         No. Day-1+          No.            Si (Day 0 +
                                                                                                       size             POFs               POFs           hydrated          Day 1+)

2001–02                                            11 April 2002                       SG                20               0                 7                  0              0.18
                                                                                                         20A              0A                7A                 0              0.18B
2002–03                                            17–24 Mar 2003                      EB                13               0                 0                  0              0.00
                                                   11–25 Mar 2003                      GSV               18               0                 1                  0              0.03
                                                   12 Mar–7 April 2003                 SG                52               1                 6                  1              0.07
                                                                                                         83A              1A                7A                 1A             0.05B
2003–04                                            05 Feb 2004                         EB                14               0                 0                  0              0.00
                                                   5 Nov 2003–27 April 2004            GSV              190              32                12                 10              0.12
                                                   14 Dec 2003–14 April 2004           SG               181              68                14                 38              0.23
                                                   25 Jan 2004–18 Mar 2004             EGAB              81              18                 5                  0              0.14
                                                                                                        466A            118A               31A                48A             0.16B
2004–05                                            8 Nov 2004–20 April 2005            GSV               61              10                 2                  3              0.10
                                                   17 Dec 2004–21 April 2005           SG                72              24                 2                  9              0.18
                                                                                                        133A             34A                4A                12A             0.11B
Grand totals/means – all seasons                                                                        702A            153A               49A                61A             0.14B

A Total                                  number of fish collected. B Mean value weighted by individual sample size.

    The results of the surveys conducted off southern Australia                                                      Eggs of S. australasicus were widespread and abundant in
also show that the type and size of net has a large effect on the                                                waters of southern Australia during the surveys conducted in
estimate of spawning area. A much higher proportion of stations                                                  February and March 2005. This finding supports adult reproduc-
were identified as positive (i.e. containing eggs) using the bongo                                               tive data presented by Rogers et al. (2009), which suggests the
net than the CalVET. This finding probably reflects the larger                                                   peak spawning season of S. australasicus in southern Australia
quantity of water sampled by bongo nets compared with CalVET                                                     extends from December to March. Hence, surveys conducted off
nets and suggests that estimates of spawning area obtained using                                                 southern Australia in February–March 2005 appear to have been
CalVET nets may be negatively biased, especially when eggs are                                                   suitably timed for a DEPM study.
in low abundance. Bongo nets may be more suitable than Cal-                                                         The estimates of spawning area used to calculate the spawn-
VET nets for estimating the spawning area of S. australasicus in                                                 ing biomass of S. australasicus in southern Australia during
southern Australia. All estimates of spawning biomass presented                                                  2005 may be conservative because significant levels of spawning
in the present study were calculated using data from bongo nets.                                                 occurred outside the area sampled in this study. Ward and Rogers
Only the methods used to estimate spawning area (i.e. uniform                                                    (2007) collected large numbers of S. australasicus eggs from
grids, contiguous grids, VNN method) were varied to establish                                                    the western GAB during 2006. It is not clear whether significant
minimum, best and maximum estimates of spawning area.                                                            spawning occurs outside the area surveyed off the east coast, but
124        Marine and Freshwater Research                                                                                           T. M. Ward et al.

Table 7. Range of estimates of each parameter and spawning biomass of blue mackerel calculated for southern Australia and eastern Australia
                                                                         in 2005
Best estimates are listed with (±s.e.). P0 = mean daily egg production, A = total spawning area, R = mean sex ratio by weight, W = mean female weight,
                               F = number of oocytes in a batch, S = mean proportion of mature females spawning each night

Location                                                                  Minimum                        Best (±s.e.)                      Maximum

Southern Australia                 P0 (eggs day−1 m−2 )                        9.94                      11.98 (3.777)                          14.25
                                   A (km2 )                               17 451                     34 895                                 36 370
                                   W (g)                                     408.20                     452.00 (±5.258)                        473.60
                                   R                                           0.63                       0.46 (±0.025)                          0.36
                                   F (eggs)                               55 053                     52 182 (±853)                          46 468
                                   S                                           0.18                       0.14 (±0.016)                          0.05
                                   Spawning biomass                       11 342                     56 288 (19 157)                       293 456
Eastern Australia                  P0                                          6.82                       8.22 (3.335)                           9.78
                                   A                                      17 503                     20 811                                 21 019
                                   W                                         258.3                      267.3 (±8.160)                         314.5
                                   R                                           0.53                       0.50 (±0.042)                          0.39
                                   F                                      29 127                     22 085 (±1246)                         21 095
                                   S                                           0.18                       0.14 (±0.016)                          0.05
                                   Spawning biomass                       11 096                     29 578 (12 853)                       157 166

the occurrence of eggs on the southernmost transects of the July             entire spawning area, which does not appear to have been the
2004 survey suggests that spawning could have occurred further               case for the surveys of southern Australia (see Ward and Rogers
south.                                                                       2007). Results obtained in the present study suggest that if the
    The results from the surveys conducted off eastern Australia             survey design is appropriate, reliable estimates of spawning area
suggest that S. australasicus eggs are widespread and abun-                  can be calculated using both Lasker’s ‘original’ method and the
dant in shelf waters between northern Fraser Island (southern                VNN approach.
Qld) and Newcastle (central NSW) during winter and spring.
The higher egg abundances recorded during October 2003 com-                  Total mean daily fecundity
pared with July 2004 suggest that the peak spawning season                   Estimates of all parameters were obtained from the large num-
may occur after July. Adult reproductive data presented in Ward              ber of adult samples collected from southern Australian waters
and Rogers (2007) suggest that future surveys would ideally be               between 2001 and 2006. In contrast, samples obtained from east-
conducted during August–September. Much higher estimates of                  ern Australia did not include large fish, which are known to occur
egg production (23.01–33.00 eggs m−2 day−1 ) were obtained in                in the region, and are unlikely to provide unbiased estimates of
October 2003 than in July 2004. However, spawning biomass                    adult parameters. The higher estimate of mean female weight
could not be estimated for this survey owing to limitations in the           in southern Australia (452 g) compared with eastern Australia
sampling design (e.g. non-parallel transects). Data from eastern             (267 g) may reflect differences in the locations from which sam-
Australia show the importance of implementing the correct sam-               ples were collected in the two regions. Most of the samples
pling design when estimating spawning area. To obtain reliable               from easternAustralia were collected from inshore sites, whereas
estimates of spawning area, it is important that surveys are                 some of the samples from southernAustralia were collected from
designed along parallel transects with the minimum logistically              offshore waters. Mean female weights in samples from inshore
feasible distances between transects and stations.                           waters of southern Australia (i.e. the two gulfs) were signifi-
    The July 2004 survey was suitable for estimating spawning                cantly lower (500 g).
season of S. australasicus off eastern Australia. Estimates of                   As few adult samples were collected from offshore waters of
spawning area (and spawning biomass) obtained from this                      eastern Australia, but large numbers of eggs were obtained from
survey may be negatively biased. If egg production estimates                 sites located over the mid-shelf, we suggest that estimates of
for October 2003 were used to calculate spawning biomass for                 adult reproductive parameters obtained from these inshore fish
July 2004, the best estimate of spawning biomass for eastern                 may not be representative of the spawning population. Obtain-
Australia would have been 77 648 t rather than 29 578 t.                     ing representative adult samples from eastern Australia during
    The distances between transects and sites are critical elements          the spawning season is a high priority for future research on
of the sampling design because grid size increases as these dis-             S. australasicus in Australia.
tances increase and estimates of spawning area are positively                    Estimates of adult parameters for southern Australia are
correlated with grid size. However, our results from southern                remarkably similar to those obtained for the morphologically
Australia show that the effect of grid size on spawning area and             and genetically similar S. japonicus in waters off California and
estimates of spawning biomass can be smaller than the effect of              Japan. For example, Dickerson et al. (1992) presented similar
net type (e.g. bongo or CalVET) in determining whether sites                 estimates of mean female weight for samples of S. japonicus
are positive or negative, i.e. with or without eggs respectively. It         obtained from the Southern Californian Bight (i.e. 355.05–
is also important that the sampling design (and grids) covers the            528.55 g). Estimates of mean female weight in samples of
Evaluating the DEPM for Scomber australasicus                                                                                         Marine and Freshwater Research          125

                      250 000                                                                              250 000

                      200 000                                                                              200 000
    Biomass (t)

                      150 000                                                                              150 000

                      100 000                                                                              100 000
                                        Max
                                    Best
                                                                                                                                                            Max
                       50 000                                                                               50 000
                                    Min                                                                                             Min               Best

                           0                                                                                     0
                                0               20          40           60           80           100                0    10 000     20 000      30 000      40 000    50 000
                                                Egg production (eggs m2 day1)                                                     Spawning area (km2)

                      250 000                                                                               250 000

                      200 000                                                                               200 000

                                                                                                                                    Max
        Biomass (t)

                      150 000                                                                               150 000

                      100 000                                                                               100 000

                                                                                                                                                             Best
                        50 000                                           Max                                 50 000                                                    Min
                                                           Min       Best
                               0                                                                                  0
                                    0           200         400          600          800          1000               0        0.05            0.10           0.15       0.20
                                                           Female weight (g)                                                           Spawning fraction

                  250 000                                                                                  250 000

                  200 000                                                                                  200 000
 Biomass (t)

                  150 000                                                                                  150 000

                  100 000                                                                                  100 000
                                                                  Max                                                                                               x   t
                                                                               Best                                                                               Ma Bes in
                                                                                                                                                                        M
                      50 000                                                                 Min            50 000

                           0                                                                                     0
                                0         0.1        0.2    0.3    0.4         0.5     0.6     0.7                    0   10 000 20 000 30 000 40 000 50 000 60 000
                                                             Sex ratio                                                                    Batch fecundity

Fig. 8. Sensitivity analysis showing minimum, best and maximum values of biomass calculated from upper, best and lower parameter estimates applied in
the Daily Egg Production Method (DEPM) model for southern Australia.

S. japonicus obtained by Yamada et al. (1998) from waters off                                             markedly within the Australian population of S. australasicus.
Japan (i.e. 402.3–797.2 g) were higher than those obtained in                                             Hence, the parameters obtained from southern Australia may be
the present study or by Dickerson et al. (1992). The similarity                                           suitable for calculating preliminary estimates of the spawning
of these parameters for these two separate species of Scomber                                             biomass of S. australasicus off eastern Australia. Calculations
in several locations suggests that these parameters may not vary                                          made using the best estimates of adult parameters from southern
126                   Marine and Freshwater Research                                                                                                       T. M. Ward et al.

                   250 000                                                                        250 000

                   200 000                                                                        200 000

                   150 000                                                                        150 000
   Biomass (t)

                   100 000                                                                        100 000
                                 Max
                    50 000                                                                         50 000                    Min    Best/Max
                                    Best
                                   Min
                         0                                                                              0
                             0         20           40           60           80          100                0    10 000     20 000        30 000         40 000    50 000
                                       Egg production (eggs          m2 day1)                                            Spawning area (km        2)

                   250 000                                                                         250 000

                   200 000                                                                         200 000
 Biomass (t)

                   150 000                                                                         150 000

                   100 000                                                                         100 000                 Max

                                        Min        Max
                    50 000                                                                          50 000                                               Best
                                                                                                                                                                   Min
                                                   Best
                        0                                                                                0
                             0         200          400         600           800         1000               0        0.05            0.10               0.15        0.20
                                               Female weight (g)                                                             Spawning fraction

                   250 000                                                                         250 000

                   200 000                                                                         200 000
     Biomass (t)

                   150 000                                                                         150 000

                   100 000                                                                         100 000
                                                                                                                              Max
                                                                Max
                    50 000                                                Best                      50 000                          Best
                                                                                                                                             Min
                                                                               Min
                         0                                                                               0
                             0    0.1        0.2     0.3       0.4      0.5         0.6    0.7               0   10 000 20 000 30 000 40 000 50 000 60 000
                                                         Sex ratio                                                               Batch fecundity

Fig. 9. Sensitivity analysis showing minimum, best and maximum values of biomass calculated from upper, best and lower parameter estimates applied in
the Daily Egg Production Method (DEPM) model for eastern Australia.

Australia suggest that the spawning biomass S. australasicus of                                  oocytes. In contrast, Dickerson et al. (1992) presented an esti-
eastern Australia in 2004 was ∼23 009 t (cf. 29 578 t based on                                   mate of mean batch fecundity (68 356 eggs) based on 13 females
data available for eastern Australia).                                                           with oocytes in the late migratory nucleus stage. Similarly, the
    The estimate of mean batch fecundity provided in this report                                 estimate of Yamada et al. (1998, i.e. 89 200 eggs) was based on
(i.e. 52 182 eggs) was based on 58 females with hydrated                                         12 females with hydrated oocytes. These findings suggest that
Evaluating the DEPM for Scomber australasicus                                                           Marine and Freshwater Research             127

our estimates of mean batch fecundity are, by international stan-        samples of S. australasicus for eastern Australia that are required
dards, based on relatively large numbers of female fish and are          to estimate adult reproductive parameters is a high priority for
likely to be reliable. However, further investigations are war-          future management-orientated research on this species.
ranted regarding the spatial variations in the size and fecundity
of females, such as those between gulf and shelf waters of South         Future DEPM surveys
Australia. Additional data on batch fecundity is required for            Our results, combined with those of Ward and Rogers (2007)
eastern Australia.                                                       and Rogers et al. (2009), show that the DEPM is a suitable
    The estimates of mean spawning fraction obtained in the              tool for stock assessment of S. australasicus. It appears that
present study (0.14) is considerably higher than the overall esti-       bongo nets should be used to sample eggs in future applications.
mate for S. japonicus in waters off California (0.087), but lower        Future survey designs should involve parallel transects with the
than the estimate for the peak spawning month in that location           minimum logistically feasible distances between transects and
(i.e. 0.206, Dickerson et al. 1992). The mean spawning fraction          stations. Hook-and-line methods appear to be suitable for sam-
for S. japonicus in waters off Japan reported by Yamada et al.           pling adults, but alternative methods should also be investigated.
(1998) is similar to our estimate (0.17). Hence, our estimates           Off southern Australia, future surveys should be conducted
of spawning fraction are similar to those obtained in previous           during February–March in waters between the western Great
studies of similar species and are likely to be reliable because         Australian Bight and the eastern end of Kangaroo Island. Off
they are based on a large number of mature females (i.e. 702),           eastern Australia, they should be conducted during August–
compared with previous studies in California (271, Dickerson             September from southern Queensland to central or southern
et al. 1992) and Japan (192, Yamada et al. 1998).                        New South Wales. Ward and Rogers (2007) show that the cost-
    The large discrepancy between the number of mature females           effectiveness of DEPM surveys can be maximised by collecting
with Day-0 POFs (153) and Day-1+ POFs (49) that was observed             data for several species concurrently. Future DEPM surveys for
in the present study warrants further investigation. We minimised        stock assessment of S. australasicus should be coordinated with
the potential biases in our estimates of spawning fraction that          those for other species, especially Sardinops sagax.
may have been associated with this discrepancy by using females              Several important technical refinements are required to max-
with hydrated oocytes, Day-0 POFs and Day-1+ POFs in our                 imise the reliability of the estimates of spawning biomass that
calculations. Future studies of the reproductive biology of S. aus-      are obtained using the DEPM. The highest immediate priori-
tralasicus should investigate the rates of degeneration of POFs.         ties for additional research are: (1) developing cost-effective
                                                                         and reliable genetic techniques for identifying early stage
Spawning biomass                                                         eggs; (2) establishing a temperature–egg development key;
As discussed above, there are several reasons why the best esti-         (3) identifying locations and methods for collecting samples
mates of spawning biomass for southern and eastern Australia             to estimate adult reproductive parameters off eastern Australia;
may be conservative (i.e. negatively biased). In both cases,             and (4) measuring the degeneration rates of POFs to ensure that
egg production was calculated using a method (McGarvey and               estimates of spawning fraction are reliable.
Kinloch 2001) that produces conservative estimates. In addition,
the estimate of egg mortality used to calculate egg production           Acknowledgements
was conservative. For southern Australia, there is also clear evi-
                                                                         This project was funded by the Fisheries Research and Development Corpo-
dence of significant spawning activity outside the area surveyed         ration and Australian Fisheries Management Authority. We are grateful for
(i.e. in the western GAB), which suggests that the estimates of          the efforts of the crews of the RV Ngerin and RV Bluefin for their efforts dur-
spawning area and spawning biomass for southern Australia are            ing surveys. Dr Francisco Neira and Mr John Keane (TAFI) led the surveys
negatively biased. Spawning may also have occurred outside the           off eastern Australia, sorted the samples and collated ichthyoplankton
area surveyed off eastern Australia. The estimate of egg produc-         data. Mr Wetjens Dimmlich, Mr Nathan Strong, Mr David Schmarr, Mr Paul
tion for eastern Australia in 2004 may also be negatively biased         Van Ruth, MrAlex Ivey, Mr David Fleer and Ms Michelle Roberts helped col-
as it was taken outside the peak spawning season.                        lect and sort plankton samples and catch adult blue mackerel during research
    Estimates of adult parameters for southern Australia appear          surveys off southern Australia. Ms Sandra Leigh, Mr Chris Leigh and Dr Bill
                                                                         Breed (University ofAdelaideAnatomy Department) conducted the histolog-
to be reliable, as they were based on relatively large samples
                                                                         ical analyses. We thank Cameron Dixon (SARDI), Dale McNeil (SARDI),
of adult fish collected over several years and are comparable
                                                                         three anonymous reviewers and MFR editorial staff for valuable comments
to those obtained for a similar species in different locations.          on drafts of this manuscript.
A major uncertainty, and potential source of positive bias for the
estimates of spawning biomass off eastern Australia, lies with
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