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Annual fecundity, batch fecundity, and oocyte atresia of Atka mackerel (Pleurogrammus monopterygius) in Alaskan waters.


Abstract--Annual potential fecundity fecundity /fe·cun·di·ty/ (fe-kun´dit-e)
1. in demography, the physiological ability to reproduce, as opposed to fertility.

2. ability to produce offspring rapidly and in large numbers.
, batch fecundity, and oocyte oocyte /oo·cyte/ (-sit) the immature female reproductive cell prior to fertilization; derived from an oogonium. It is a primary o. prior to completion of the first maturation division, and a secondary o.  atresia atresia /atre·sia/ (ah-tre´zhah) congenital absence or closure of a normal body opening or tubular structure.atret´ic

anal atresia , atresia a´ni imperforate anus.
 were estimated for Atka mackerel Atka mackerel
n.
A food fish (Pleurogrammus monopterygius) native to northern Pacific waters.
 (Pleurogrammus monopterygius) collected in Alaskan waters during 1993-94. Atka mackerel were assumed to be determinate DETERMINATE. That which is ascertained; what is particularly designated; as, if I sell you my horse Napoleon, the article sold is here determined. This is very different from a contract by which I would have sold you a horse, without a particular designation of any horse. 1 Bouv. Inst. n. 947, 950.  spawners on the basis of decreasing fecundity after batch spawning events. Histological his·tol·o·gy  
n. pl. his·tol·o·gies
1. The anatomical study of the microscopic structure of animal and plant tissues.

2. The microscopic structure of tissue.
 examination of the ovaries indicated that oocytes in the vitellogenic stage and higher had been spawned in the current spawning season. For an average female of 40 cm, potential annual fecundity was estimated to be 41,994 eggs, average batch size (i.e., batch fecundity) was estimated to be 6689 eggs, and there were 6.13 batches per spawning season. Atresia was estimated by examining postspawning specimens and was found to be substantial. The average amount of atresia for a 40-cm fish was estimated to be 11,329 eggs, resulting in an estimated realized fecundity of only 30,664 eggs and 4.64 batches of eggs per spawning season.

**********

The reproductive biology of Atka mackerel (Pleurogrammus monopterygius) is characterized by batch spawning by females and nest-guarding by males. This member of the greenling greenling, common name for any of several species of the genus Hexagrammos, carnivorous, spiny-finned fishes of the family Hexagrammidae, common in the Pacific Ocean, especially in the waters N of Monterey, Calif.  family (Hexagrammidae) is distributed in Russian and Alaskan waters where it is usually found in dense aggregations and associated with areas of fast currents, such as the passes between the Aleutian Islands Aleutian Islands (əl`shən), chain of rugged, volcanic islands curving c.1,200 mi (1,900 km) west from the tip of the Alaska Peninsula and approaching Russia's Komandorski Islands.  (Lowe et al., 2002). Peak spawning occurs from July through October in Alaskan waters (McDermott and Lowe, 1997) and from June through September off Kamchatka (Zolotov, 1993). Batches of adhesive eggs are spawned in rock crevices and are guarded by males until they hatch (Gorbunova, 1962; Zolotov, 1993). Studies with archival tags have indicated that males guard nests for 3-4 months (Nichol and Somerton, 2002). Batches of eggs in different phases of development were found within one nest, indicating a promiscuous mating system In sociobiology and behavioural ecology, the term mating system is used to describe the ways in which animal societies are structured in relation to sexual behavior. The mating system specifies what males mate with what females under what circumstances.  (Zolotov and Tokranov, 1989; Zolotov, 1993; Lowe et al., 2003).

Atka mackerel females spawn their annual complement of eggs in several batches over the course of the spawning season. Zolotov (1993) reported that females spawn an average of three batches of eggs per season and that there is at least a two-week hiatus between spawnings in Kamchatkan waters. To estimate the number of batches spawned by a female, it is necessary to estimate annual fecundity and batch fecundity. Annual fecundity is defined as the total number of eggs spawned by a female in a single year and batch fecundity is defined as the numbers of eggs released at one time (Nichol and Acuna, 2001). Direct estimation of annual fecundity is possible if the number of eggs to be spawned that season is fixed or determinate (Hunter et al., 1985). Fish with determinate fecundity are described as showing a well-defined hiatus (or gap) in oocyte-size distribution between the advanced oocytes that will be spawned that year and the immature oocytes that will not develop until the following spawning seasons (Hunter et al., 1985). Species that are characterized by continuous oocyte development and oocyte-size distributions have often been described as indeterminate spawners (Hunter et al., 1985) that have the ability to develop unyolked oocytes continually and add them to the standing stock of advanced-yolked oocytes even after spawning begins. Hunter and Macewicz (2001) stated that potential fecundity can be estimated if three key requirements are met: 1) one can identify a certain standing stock or size range of oocytes into which no new oocytes are recruited once spawning begins; 2) females used to estimate potential fecundity have not spawned; and 3) atretic losses are negligible or can be estimated. Recent studies have shown that many fish species reabsorb a substantial number of their oocytes before spawning or at the end of the spawning season--a process known as atresia (Hunter and Macewicz, 1985; Kjesbu et al., 1991; Ma et al., 1998) Atretic losses in Icelandic cod (Gadus morhua) and Atlantic herring (Clupea harengus) occur mainly during the earlier phase of vitellogenic development, decrease as oocytes mature, and are negligible near the time of spawning (Haroardottir et al., 2001, Kurita et al., 2003). Scombroid scombroid /scom·broid/ (skom´broid)
1. of or pertaining to the suborder Scombroidea.

2. a fish of the suborder Scombroidea. See also under poisoning.
 fishes (mackerels and tunas) have been described as having extensive atresia at the end of their spawning season (Hunter and Macewicz, 2001).

Previous studies (Zolotov, 1993) have described Atka mackerel as determinate spawners. However, no study to date has examined the oocyte-size distribution or shown that fecundity decreases after spawning. We examined the oocyte-size distribution for mature oocytes over time. Additionally, all ovaries were examined histologically his·tol·o·gy  
n. pl. his·tol·o·gies
1. The anatomical study of the microscopic structure of animal and plant tissues.

2. The microscopic structure of tissue.
 to identify advanced oocyte stages, presence of postovulatory follicles, and oocyte atresia. We estimated potential annual fecundity and batch fecundity. The number of batches to be spawned was calculated by dividing total fecundity by batch fecundity. Potential fecundity was studied by comparing prespawning individuals with those that had spawned at least one batch of eggs in order to determine if advanced oocytes are added throughout the spawning season. Atresia of mature oocytes was estimated from ovaries of postspawning females to calculate realized fecundity as a measure of oocytes actually spawned per year.

Materials and methods

Data collection

All Atka mackerel examined in this study were either collected by the National Marine Fisheries Service (NMFS NMFS National Marine Fisheries Service
NMFS National Mortality Followback Survey
NMFS Network Multimedia File System
NMFS Nested Mount File System
) fisheries observers aboard commercial fishing vessels Customary International Law provides that coastal fishing boats and small boats engaged in trade, as distinguished from seagoing fishing boats and large traders, are immune from attack and seizure during war. This Immunity is lost if fishing vessels take part in the hostilities.  during the commercial Atka mackerel fishery in 1993 or by Alaska Fisheries Science Center (AFSC AFSC American Friends Service Committee
AFSC Alaska Fisheries Science Center
AFSC Air Force Systems Command
AFSC Air Force Specialty Code
AFSC Air Force Space Command
AFSC Armed Forces Services Corporation
AFSC Army Field Support Command
) scientists during the 1994 NMFS bottom trawl trawl - To sift through large volumes of data (e.g. Usenet postings, FTP archives, or the Jargon File) looking for something of interest.  survey of the Aleutian Islands (Table 1, Fig. 1).

[FIGURE 1 OMITTED]

During both years, Atka mackerel were subsampled from individual trawl tows. Collections were stratified stratified /strat·i·fied/ (strat´i-fid) formed or arranged in layers.

strat·i·fied
adj.
Arranged in the form of layers or strata.
 by fish size; no more than five fish per size group were collected in each NMFS statistical area during a sampling year. The fork length of each fish was measured to the nearest centimeter centimeter (sĕn`tĭmē'tər), abbr. cm, unit of length equal to 0.01 meter, the basic unit of length in the metric system. The centimeter is the unit of length in the cgs system. It is approximately equal to 0. , and each fish was weighed to the nearest 0.1 kg. In most cases, the stomach was emptied before weighing the fish. The ovaries were excised and placed in labeled cloth bags in 10% formalin formalin /for·ma·lin/ (for´mah-lin) formaldehyde solution.

for·ma·lin
n.
An aqueous solution of formaldehyde that is 37 percent by weight.
 solution buffered with sodium acetate Sodium acetate, (also rarely, sodium ethanoate) is the sodium salt of acetic acid. It is an inexpensive chemical produced in industrial quantities for a wide range of uses.  (20 g per liter solution). In order to determine maturity stage, and presence of atresia, all ovaries were processed histologically. Four ovarian sections (4-[micro]m thick) were stained with hematoxilin (Sigma Aldrich, St. Louis, MI) and eosin eosin /eo·sin/ (e´o-sin) any of a class of rose-colored stains or dyes, all being bromine derivatives of fluorescein; eosin Y, the sodium salt of tetrabromofluorescein, is much used in histologic and laboratory procedures.  counterstain counterstain /coun·ter·stain/ (-stan) a stain applied to render the effects of another stain more discernible.

coun·ter·stain
n.
 (Sigma Aldrich, St. Louis, MI) (H&E). Maturity stages were determined by using categories developed by McDermott and Lowe (1997). Ovaries of prespawning females were defined by the lack of hydrated oocytes in June and the absence of postovulatory follicles once hydrated oocytes were present in July. Presence of atresia was determined according to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 classifications developed by Hunter and Macewitz (1985).

For the estimation of annual fecundity, only females whose ovaries had not shown any signs of releasing oocytes (i.e., all hydrated oocytes were within their follicles and ovaries contained no postovulatory follicles) were used. Different stages of postovulatory follicles can be distinguished in fish that have spawned multiple batches (McDermott and Lowe, 1997). These different stages indicate that postovulatory follicles persist in Verb 1. persist in - do something repeatedly and showing no intention to stop; "We continued our research into the cause of the illness"; "The landlord persists in asking us to move"
continue
 ovaries longer than the time period between batch spawning events, minimizing the possibility of incorrectly classifying a partly spent fish as a prespawning fish. Prespawning and partly spent specimens were compared to examine determinate spawning.

Gravimetric method

The gravimetric method was used to count and measure oocytes in weighed samples of Atka mackerel ovarian tissue (Hunter et al., 1985). In our fecundity analysis, small cross-sections were excised from preserved Atka mackerel ovaries. The amount of tissue removed was dependent on the size of eggs present, typically ranging from 0.3 g to 2.5 g. The target sample size was approximately 1000 eggs. The cross-section was divided into wedges in order to ensure a representative sample of ovarian wall tissue in relation to the tissue containing eggs. Ovarian wall tissue weight represents a substantial part of total ovary ovary, ductless gland of the female in which the ova (female reproductive cells) are produced. In vertebrate animals the ovary also secretes the sex hormones estrogen and progesterone, which control the development of the sexual organs and the secondary sexual  weight and needed to be represented proportionally in the subsamples. The samples were weighed to the nearest 0.001 g and allowed to sit in water for several hours before handling to reduce exposure to formalin. Ovary tissue was teased apart manually under a dissecting dis·sect  
tr.v. dis·sect·ed, dis·sect·ing, dis·sects
1. To cut apart or separate (tissue), especially for anatomical study.

2.
 microscope and spread evenly in a 50% solution of glycerol glycerol, glycerin, glycerine, or 1,2,3-propanetriol (prō`pāntrī'ŏl), CH2OHCHOHCH2OH, colorless, odorless, sweet-tasting, syrupy liquid.  in a dish over a grid partitioned by 1-cm squares. The dissecting microscope was equipped with a Javelin Ultrachip CCTV CCTV
abbr.
closed-circuit television


CCTV closed-circuit television
 video camera (model JE-7442, Javelin Electronics, Los Angeles Los Angeles (lôs ăn`jələs, lŏs, ăn`jəlēz'), city (1990 pop. 3,485,398), seat of Los Angeles co., S Calif.; inc. 1850. , CA), connected to a computer equipped with BioScan Optimas 4.0 scanning software (Bioscan Inc., Edmonds, WA).

All oocyte stages used in our study were previously described by McDermott and Lowe (1997). It was possible to distinguish the cortical alveoli Alveoli
Small air sacs or cavities in the lung that give the tissue a honeycomb appearance and expand its surface area for the exchange of oxygen and carbon dioxide.
 oocyte stage (stage 3) from the more advanced oocyte stages (stage 4 [oil droplet stage] and stage 5 [vitellogenic stage]) when using the dissecting microscope and camera image to examine whole eggs. Oocytes in stage 4 and above showed a distinct ring around the nucleus, which was attributed to the oil and yolk yolk (yok) the stored nutrient of an oocyte or ovum.

yolk
n.
The portion of the egg of an animal that consists of protein and fat from which the early embryo gets its main nourishment and of
 droplets accumulating in the oocyte. Stage-3 oocytes did not show a distinct ring around the nucleus. However, it was not possible to distinguish oil-droplet oocytes (stage 4) from vitellogenic oocytes or more advanced stages (stage 5+) when examining whole eggs. Because oocyte development is usually attributed to oil-droplet and yolk accumulation, it was initially assumed that oocytes below stage 4 would not be spawned in the current spawning event and therefore would serve as reserve oocytes to be spawned in later spawning seasons. To determine oocyte-size composition, all oocytes stage 4 and above were measured along a vertical axis in each 1-cm square of a grid until 250 eggs had been measured. All eggs in the sample determined to be oocyte stage 4 or above were then counted manually under the dissecting microscope to arrive at an estimate of the number of eggs present per gram of tissue that were oocyte stage 4 and greater.

Location of tissue samples within the ovary

We examined six specimens to determine if location of tissue samples within the ovary affected estimates of fecundity. Two specimens had ovaries in the vitellogenic stage, two had ovaries in the early hydration hydration /hy·dra·tion/ (hi-dra´shun) the absorption of or combination with water.

hy·dra·tion
n.
1. The addition of water to a chemical molecule without hydrolysis.

2.
 stage, and two had ovaries in the spawning stage. We took three tissue samples per ovary lobe (six per specimen). The samples were taken from the anterior, center, and posterior location within each lobe of the ovary.

All eggs within the tissue sample that were oocyte stage 4 and above were counted and the first 100 oocytes were measured. Analysis of variance (ANOVA anova

see analysis of variance.

ANOVA Analysis of variance, see there
) (S-plus, 7.0 for Windows, Insightful Corp., Seattle, WA) (Venables and Ripley, 2002) was used for this examination with ovary lobe (left or right), position within the ovary, and maturity stage as factors. This analysis was carried out for the mean number of eggs per gram Eggs per gram (EPG) is a laboratory test that determines the number of eggs per gram of feces in patients suspected of having a parasitological infection, such as schistosomiasis. EPG is the primary diagnostic method for schistosomiasis, as opposed to a blood test.  of tissue and mean egg size as response variables. The ANOVA indicated that the tissue sample could be taken from either lobe of the ovaries at any location. All further samples were therefore taken from a central location within either one of the ovary lobes.

Determinate versus indeterminate spawning

Direct estimation of annual fecundity is possible if the number of eggs to be spawned that season is fixed (determinate) and there is a well-defined gap in the oocyte-size distribution between advanced oocytes that will be spawned that year and the immature oocytes. In contrast, indeterminate spawners have the ability to develop unyolked oocytes continually and add them to the standing stock of advanced-yolk oocytes even after spawning begins.

To examine whether Atka mackerel are determinate spawners as previously described (Zolotov, 1993), we measured their oocytes to obtain a size distribution for oocytes over time. Additionally, we compared the potential fecundity of prespawning fish with the potential fecundity of fish that had spawned at least one batch. When all oocytes stage 4 and greater were summed, the tally exceeded the expected number of oocytes to be spawned per year, given the number of eggs in the first batch and the previous estimate of an average of three batches per female (Zolotov, 1993). This total number of oocytes led to the hypothesis that stage-4 oocytes may be developed, but not spawned, in a given year and are part of the standing stock of oocytes to be spawned in the following year. This hypothesis was supported when we found both oil droplet oocytes and atretic advanced-stage oocytes in the spent ovaries of nine specimens collected in 1993 (Fig. 2A).

[FIGURE 2 OMITTED]

The specimens from 1994 were consequently divided into two ovary stages:

1 Prespawning-stage ovaries: ovaries with the most advanced oocyte stage of vitellogenic or hydrated oocytes that showed no evidence of having been spawned, i.e., did not have postovulatory follicles (POFs).

2 Spawning-stage ovaries: ovaries that had spawned at least one batch of eggs and therefore contained POFs.

Potential annual fecundity was estimated with the gravimetric method and the total number of oocytes were further divided into stage-4 and stage-5+ oocytes by using the methods described below. The data were log-transformed and linear regressions were fitted by using S-plus. Ovaries of prespawning and spawning fish were compared by testing for differences in intercepts and slopes with S-Plus (Venables and Ripley, 2002).

Separation of stage-4 oocytes from more advanced oocytes

To test whether Atka mackerel retain all of their stage-4 oocytes as a standing stock for the next year's fecundity, it became necessary to separate the stage-4 oocytes from the rest of the more developed oocyte stages and then subtract the stage4 oocytes from the total oocyte count. It was not possible to distinguish the oil-droplet--stage oocytes from oocytes in the vitellogenic stage or migratory migratory /mi·gra·to·ry/ (mi´grah-tor?e)
1. roving or wandering.

2. of, pertaining to, or characterized by migration; undergoing periodic migration.


migratory

emanating from or pertaining to migration.
 nucleus stage when examining whole oocytes with the dissecting microscope image and the Optimas software. Therefore, we examined nine ovaries that were recently spent, which contained only healthy stage-4 oocytes and atretic hydrated oocytes that could be easily distinguished (Fig. 2A). The average size distribution of stage4 oocytes was estimated by measuring approximately 250 stage-4 oocytes per ovary. This size distribution could then be applied to the prespawning-stage ovaries, assuming that stage-4 oocyte-size distributions in spent ovaries were the same as those in prespawning-stage ovaries. To test this assumption, the size distribution from prespawning-stage ovaries in histological preparations was compared to the size distribution in postspawning fish by using ANOVA.

In order to deduct the population of stage-4 oocytes from the whole population of stage 5+ oocytes in prespawning-stage ovaries, we determined the size overlap between stage-4 and stage-5 oocytes by examining histological sections from six prespawning-stage ovaries. All oocytes that had been sectioned through the nucleus were measured with a compound microscope compound microscope
n.
A microscope consisting of an objective and an eyepiece at opposite ends of an adjustable tube.
 and camera system with Optimas software. We determined that all oocytes smaller than 525 [micro]m were stage-4 oocytes and did not overlap in size with stage-5 oocytes in the prespawning-stage ovaries (Fig. 3A). We used the postspawning-stage ovaries that had only stage-4 oocytes and atretic hydrated oocytes to estimate the proportion of stage-4 oocytes that was less then 525 [micro]m. This proportion was then applied to the prespawning-stage ovaries to estimate the number of stage-4 oocytes present.

[FIGURE 3 OMITTED]

The total number of stage-4 oocytes in the tissue sample for each prespawningstage ovary was estimated from

[n.sub.4i] = [c.sub.i]/p (1)

and

p = [g.sub.i]/[m.sub.i], (2)

where [n.sub.4i] = estimated total number of stage-4 oocytes in a tissue sample of a prespawning specimen i;

[c.sub.i] = total number of stage-4 oocytes <525 [micro]m in a tissue sample for a prespawning specimen i;

p = the estimated proportion of total stage-4 oocytes <525 [micro]m, estimated from ovaries of a postspawning female;

[g.sub.i] = total number of stage-4 oocytes <525 [micro]m in postspawning-stage ovaries; and

[m.sub.i] = total number of all stage-4 oocytes in postspawning-stage ovaries.

Estimation of potential annual fecundity and batch fecundity

Potential annual fecundity and batch fecundity were calculated by using prespawning specimens. Two scenarios were examined for potential fecundity:

Scenario 1: potential [fecundity.sub.total] (counting oocytes stage 4 and greater); and

Scenario 2: potential [fecundity.sub.stage5+] (counting only oocytes stage 5+).

The following equation was used:

[F.sub.i] = [n.sub.i][O.sub.i]/[W.sub.i], (3)

where [F.sub.i] = estimated potential fecundity or batch fecundity for a prespawning specimen i;

[n.sub.i] = number of oocytes in the tissue sample of a prespawning specimen (for potential [fecundity.sub.total]: oocytes of stage 4 and greater; for potential [fecundity.sub.stage5+], oocytes of stage 5+, for batch fecundity, number of hydrated oocytes);

[O.sub.i] = total ovary weight (g) for a prespawning specimen i; and

[W.sub.i] = weight of tissue sample (g) for a prespawning specimen i.

Prespawning-stage ovaries that contained oocytes in the early hydration stage (stage 7) or greater were examined to estimate batch fecundity. Atka mackerel appear to hydrate hydrate (hī`drāt), chemical compound that contains water. A common hydrate is the familiar blue vitriol, a crystalline form of cupric sulfate. Chemically, it is cupric sulfate pentahydrate, CuSO4·5H2O.  one batch of oocytes at a time and the hydrated oocytes can be clearly separated from less developed oocytes by a gap in oocyte-size distribution (Fig. 2B).

Length-fecundity relationships

Length-fecundity relationships and their 95% confidence intervals were computed for potential annual fecundity ([F.sub.i]), batch fecundity ([B.sub.l]), and the number of atretic oocytes ([E.sub.l]) by using nonlinear regression In statistics, nonlinear regression is the problem of inference for a model



based on multidimensional
 in S-plus (Venables and Ripley, 2002) with the following model:

Y = a[L.sup.b] (4)

where y = [F.sub.i], [B.sub.i], [E.sub.i];

a and b = fecundity parameters to be estimated; and

L = fork length.

Oocyte atresia

Occurrence of atresia was divided into high occurrence (more than 10% of oocytes are atretic) and low occurrence (less than 10% of oocytes are atretric) by examining visually all histological slides. Because incidence of atresia was low in prespawning- and spawning-stage ovaries, it was not quantified further.

The occurrence of oocyte atresia in spent oocytes or oocytes that had been spawned was determined by counting the number of atretic oocytes present in the tissue sample of whole oocytes. Atretic eggs were easily distinguished from nonatretic eggs by their shriveled shriv·el  
intr. & tr.v. shriv·eled or shriv·elled, shriv·el·ing or shriv·el·ling, shriv·els
1. To become or make shrunken and wrinkled, often by drying:
 appearance, dark to almost black coloration col·or·a·tion  
n.
1. Arrangement of colors.

2. The sum of the beliefs or principles of a person, group, or institution.
, and dense texture. In postspawning fish, it appeared that all oocytes in an advanced stage were atretic and that stage-4 or smaller oocytes were healthy (Fig. 2A). When the histological slides of the same specimen were examined for verification of the oocyte stages, it appeared that all atretic oocytes that were counted corresponded to alpha and beta atresia stages (Hunter and Macewicz, 1985). The total number of atretic oocytes for each specimen ([E.sub.i]) was calculated by multiplying atretic oocytes per gram of tissue by total weight of both ovaries.

Realized annual fecundity

Realized annual fecundity is defined as the number of oocytes actually spawned per fish in a given year. In order to take the occurrence of atresia into account, a predicted realized fecundity-at-length was calculated by subtracting predicted atresia-at-length from the predicted potential fecundity-at-length, by using

[R.sub.l] = [F.sub.l] - [E.sub.l], (5)

where [R.sub.l] = estimated realized annual fecundity at length l;

[F.sub.l]= estimated potential annual fecundity at length l; and

[F.sub.l] = estimated number of atretic oocytes at length l.

Variance (Var) of the predictions at length was calculated as the sum of the variances (estimated with S-plus) of the predicted values for potential fecundity-at-length and atresia-at-length:

Var([R.sub.l]) = Var([F.sub.l] ) + Var( [E.sub.l] ). (6)

Annual number of batches spawned

The potential number of batches spawned for each specimen i was estimated from

[D.sup.pot.sub.i] = [F.sub.i]/[B.sub.i], (7)

where ([D.sup.pot.sub.i]) = the potential number of batches spawned for each specimen i;

[F.sub.i] = potential fecundity for specimen i, and

[B.sub.i] = batch fecundity for specimen i.

Batch number for realized fecundity for specimen i was calculated by using the predicted proportion of atretic eggs per length category and applying it to each specimen:

[D.sup.real.sub.il] = [F.sub.i](1-[p.sup.atr.sub.l])/[B.sub.i], (8)

where

[p.sup.atr.sub.l] = [E.sub.l]/[F.sub.l], (9)

where [D.sup.real.sub.il] = the batch number per specimen i at length l;

[p.sup.atr.sub.l] = the predicted proportion atretic at length l;

[E.sub.l] = the predicted number of atretic eggs at length l; and

[F.sub.l] = the predicted potential fecundity at length l.

The relationship between batch number and length was examined for both potential and realized fecundity with linear regression Linear regression

A statistical technique for fitting a straight line to a set of data points.
 (S-plus).

Results

Data collection

Nine samples were collected after spawning events in October 1993 in NMFS statistical areas 542 (n=4) and 620 (n=5) (Table 1, Fig. 1). One hundred-fifty fish were collected from June through August in 1994 in NMFS statistical areas 541 (n=57), 542 (n=49), and 543 (n=44). Most (130) of these fish were in prespawning condition, i.e., contained no postovulatory follicles, and 20 had spawned at least one batch of eggs. Because the fish were collected during the NMFS Aleutian survey, which systematically moves from east to west along the Aleutian archipelago, all specimens in area 541 (Eastern Aleutian Islands) were considered prespawning fish Spawning commenced in late July in area 542 and by the middle of August all fish collected showed signs of spawning.

Location of tissue samples in ovaries

The effect of ovary lobe location or position within the ovary was not significant for either average egg size (P=0.07, 0.43, respectively) or mean number of eggs per gram of ovary tissue (P=0.07, 0.53, respectively). Maturity stage of ovary had a significant effect on both eggs per gram (P<0.0001) and average egg size (P<0.0001).

Separation of oil-droplet--stage oocytes (stage 4) from more advanced oocytes

There was no significant difference in mean egg size for stage-4 oocytes in pre- and postspawning fish (P=0.59)(Fig. 3B). We determined that all oocytes smaller than 525 [micro]m that were measured were stage-4 oocytes (Fig. 3A). The proportion of stage-4 oocytes less than 525 [micro]m (p) was 0.755 based on samples of postspawning fish in 1993, with [g.sub.i] = 1592 (the number of stage-4 oocytes that measured smaller than 525 [micro]m), and [m.sub.i] = 2110 (the total number of stage-4 oocytes measured). This proportion was treated as a constant when estimating the number of oocytes in stage 5 and larger.

Determinate versus indeterminate spawning

With the exception of hydrated eggs, Atka mackerel are characterized by a continuous oocyte-size distribution much like that of an indeterminate spawner (Fig. 4). Atka mackerel ovaries contain several stages of developing oocytes throughout the spawning season.

[FIGURE 4 OMITTED]

However, the length-fecundity relationship for the total number of oocytes decreased after the fish had spawned their first batch (Fig. 5A) and there was a significant difference in intercept and slope (P=0.01 and 0.001, respectively). When the length-fecundity relationship for oocytes in stage 5+ was examined, the potential fecundity also decreased after spawning (Fig. 5B), with a significant difference in intercept and slope (P=0.003 and P=0.009, respectively). The numbers of stage-4 oocytes did not appear to differ substantially before and after spawning for fish of comparable size (Fig. 5C) although the slope of the length-fecundity relationship differed significantly (P=0.012). Furthermore, there was no reduction in the number of stage-4 oocytes at comparable fish lengths for the nine spent fish collected late in the spawning season (October)versus prespawning and spawning fish collected in June-August.

[FIGURE 5 OMITTED]

Oocyte atresia

Incidence of oocyte atresia in prespawning and spawning fish was found to be low. Only 15 of the 150 ovaries examined showed any signs of atresia. Of these 15 ovaries, high occurrence of atresia (more than 10% of oocytes affected) was found in 3, and low occurrence of atresia (less than 10% of oocytes affected) was found in 12. Therefore, atresia in ovaries of pre- and postspawning fish was not quantified further.

Atresia was found to be present in all of the nine ovaries of postspawning fish examined in the study and the number of atretic oocytes corresponded roughly with the number of ooccytes spawned in a batch (batch size). This finding indicates that Atka mackerel may use atresia to regulate reproductive output at the end of the spawning season.

Estimates of annual fecundity and batch fecundity

Length-fecundity parameters (a and b) for predicted fecundities for scenario 1 (oocytes [greater than or equal to] stage 4) and scenario 2 (oocytes [greater than or equal to] stage 5), as well as estimates of batch fecundity and atretic eggs are shown in Table 2 with their respective standard errors. Predicted potential fecundity for both scenarios is shown in Figure 6A.

[FIGURE 6 OMITTED]

The length-fecundity relationship for oocytes at stage 5+ is the most realistic because it appears that most stage-4 oocytes will not be spawned in the current season. Predicted potential and realized fecundity for stage 5+ oocytes are illustrated in Figure 6A with their respective confidence intervals. Because the estimates of potential fecundity were treated as data in the length-fecundity regressions, the variance estimates and confidence intervals are conservative. Data and model fit for the relationship of batch fecundity to length is shown in Figure 6B, and the data and model fit for the number of atretric eggs in the ovary by length category is shown in Figure 6C. Average number of batches corresponding to potential and realized fecundity are shown in Figure 6D.

The average fork length for females during the 1994 NMFS survey was 40 cm (Lowe and Fritz, 1994). Potential fecundity (stage 5+) was estimated to be 41,994 eggs, and realized annual fecundity was estimated to be 30,664 eggs for a 40-cm female (Table 2). Batch fecundity for a 40-cm female was estimated to be 6689 eggs and the number of batches spawned showed no statistically significant relationship with length for both potential (P=0.35) and realized (P=0.75) fecundity (Fig. 6D). The estimated number of batches produced annually per female was calculated by using the grand mean and standard deviation for all specimens combined. The average number of batches of eggs for potential and realized fecundity was estimated at 6.1 and 4.5 batches per year, respectively, with corresponding 95% confidence intervals of [+ or -]2.64 and [+ or -]2.21 batches. This result would indicate that the average female has the potential to spawn about 6 batches, but may reabsorb 1-2 batches of eggs at the end of the season.

Discussion

The reproductive strategy of Atka mackerel and other hexagrammids has been characterized by low fecundity and large eggs, high parental care, and by larvae Larvae, in Roman religion
Larvae: see lemures.
 hatched at an advanced stage of development (Gorbunova, 1962). Potential fecundity for an average female Atka mackerel of 40 cm was 41,994 eggs for oocytes at stage 5+ and is higher than the estimates for Kamchatkan waters by Gorbunova (1962), who gave a range between 5000 and 31,000 eggs for a 52-cm female. Zolotov (1993) estimated potential fecundity to be 38,700 eggs (vitelline vitelline /vi·tel·line/ (vi-tel´in) pertaining to or resembling a yolk.

vi·tel·line
adj.
Of, relating to, or associated with the yolk of an egg.

n.
The yolk of an egg.
 oocytes plus hydrated oocytes in first batch) off Kamchatka, which is also slightly lower than our estimate. Our batch fecundity estimate of 6689 eggs for an average female of 40 cm is similar to Zolotov's (1993) estimate of 6930 for a fish of the same size.

Atka mackerel are characterized by a continuous size distribution of oocytes much like that of indeterminate spawners. However, Atka mackerel have a distinct spawning season (July-October) during which they spawn batches containing a large number of eggs (Zolotov, 1993; McDermott and Lowe, 1997). This spawning pattern differs from that of typical indeterminate spawners that spawn a small number of eggs (in relation to the total number present) almost continuously for many months, as characterized by the northern anchovy anchovy: see herring.
anchovy

Any of more than 100 species of schooling saltwater fishes (family Engraulidae) related to the herring. Anchovies are distinguished by a large mouth, almost always extending behind the eye, and by a pointed snout.
 (Engraulis mordax) (Hunter et al., 1985). Atka mackerel seem to lie somewhere in the middle of determinate versus indeterminate spawning fish. It appears that there is a potential to develop and spawn up to seven batches if all stage-4 oocytes are developed and spawned. Most of the stage-4 oocytes still remaining in the ovary during the spawning phase probably constitute the pool of oocytes to be spawned in the next season. However, those oocytes could be a reserve to be developed and spawned in highly productive years (i.e., during favorable spawning conditions). Estimates of fecundity based on oocytes at stage 5+ may be conservative if some of the stage-4 oocytes are developed and spawned late in the spawning season. However, knowledge of batch size, length of spawning season, and the spawning interval between batches (1-2 weeks) (Gorbunova, 1962; Zolotov, 1993; McDermott and Lowe, 1997), gives us confidence that our estimate of fecundity is realistic. Given that there are 14 days between batches, a 75-day incubation period incubation period
n.
1. See latent period.

2. See incubative stage.


Incubation period 
 (Lowe et al., 2003; McDermott, 2003), and that 4.6 batches are spawned annually, the spawning season would be 120 days, which is similar to that observed in the present study.

Conclusions

Prespawning Atka mackerel did not show much atresia during egg development; however high levels of atresia became apparent when ovaries of postspawning fish were examined. Examination of ovaries of prespawning females alone would lead to the assumption that the potential fecundity is close to the realized fecundity. Atresia in postspawning Atka mackerel has been described in earlier studies (Gorbunova, 1962; Zolotov, 1993), where 400-500 atretic eggs per ovary and the prolonged presence of atretic eggs in the ovaries before reabsorption have been reported. However, this is the first study where atresia from recently spent ovaries has been included in the fecundity analysis in a quantitative manner. When recently spent ovaries were examined, it appeared that atresia had a major effect on potential fecundity and that an average of 1-2 batches were reabsorbed at the end of the spawning period in the ovaries examined. It should be noted that specimens with ovaries in the prespawning phase and specimens with recently spent ovaries were collected in different years. Atresia is likely to be related to feeding ecology, availability of appropriate substrate and environmental conditions for spawning, and could potentially change from year to year. Interannual variability of atresia should be examined in the future.

Acknowledgments

We thank G. Thompson and J. Ianelli for their statistical advice and F. Morado for his advice and assistance with histological work. We also thank all the observers and scientists who collected specimens and the commercial fishing industry for providing sampling platforms. G. Stauffer, B. Miller, A. Hollowed, S. Lowe, and S. Hinckley helped greatly by critically reviewing drafts of this paper. This research was supported by the Joint Institute for the Study of the Atmosphere and Ocean (JISAO JISAO Joint Institute for the Study of the Atmosphere and the Ocean ) under NOAA NOAA
abbr.
National Oceanic and Atmospheric Administration

Noun 1. NOAA - an agency in the Department of Commerce that maps the oceans and conserves their living resources; predicts changes to the earth's environment;
 Cooperative Agreement no. NA67RJ0155 (contribution no. 986).

Manuscript submitted 22 April 2004 to the Scientific Editor's Office.

Manuscript approved for publication 15 March 2006 by the Scientific Editor.

Literature cited

Gorbunova, N. N. 1962. Spawning and development of greenlings (family Hexagrammidae Noun 1. family Hexagrammidae - greenlings
Hexagrammidae

fish family - any of various families of fish

order Scleroparei, Scleroparei - scorpionfishes; sculpins; gurnards; greenlings; flying gurnards
). In Greenlings: taxonomy, biology, interoceanic In`ter`o`ce`an´ic

a. 1. Between oceans; connecting oceans; as, interoceanic communication; an interoceanic canal. s>
 transplantation (T. S. Rass, ed.), p. 1-103. Tr. Inst. Okeanol., Akad. Nauk. SSSR SSSR Society for the Scientific Study of Religion
SSSR Society for the Scientific Study of Reading
SSSR Smallest Set of Smallest Rings (chemistry)
SSSR Sojus Sowjetskich Sozialistitscheskich Respublik (USSR; Russian) 
 59:118-182. In Russian (translated by Isr. Program. Sci. Trans., 1970). [Available from Natl. Tech. Inf. Serv., Springfield, VA, as TT 69-55097 S.]

Hardardottir, K., O. S. Kjesbu, and G. Marteinsdottir. 2001. Atresia in Icelandic cod (Gadus morhua L.) prior to and during spawning. Report of the working group on modern approaches to assess maturity and fecundity of warmand cold-water fish and squids (O. S. Kjesbu, J. R. Hunter, and P. R. Withames, eds.), 140 p. Institute of Marine Research, Bergen, Norway.

Hunter, J. R., N. C. H. Lo, and R. J. H. Leong. 1985. Batch fecundity in multiple spawning fishes. In An egg production method for estimating spawning biomass of pelagic pelagic

living in the middle or near the surface of large bodies of water such as lakes or oceans.
 fish: application to the northern anchovy, Engraulis mordax (R. Lasker, ed.), p. 67-77. U.S. Dep. Commer., NOAA Tech. Rep. NMFS 36.

Hunter, J. R., and B. J. Macewicz. 1985. Rates of atresia in the ovary of captive and wild northern anchovy, Engraulis mordax. Fish. Bull. 83:119-136.

2001. Improving the accuracy and precision of reproductive information used in fisheries. Report of the working group on modern approaches to assess maturity and fecundity of warm-and cold-water fish and squids (O. S. Kjesbu, J. R. Hunter, and P. R. Withames, eds.), 140 p. Institute of Marine Research, Bergen, Norway.

Kjesbu, O. S., J. Klungsoyr, H. Kryvi, P. R. Whitthames, and M. Greer Walker. 1991. Fecundity, atresia, and egg size of captive Atlantic cod (Gadus morhua) in relation to proximate proximate /prox·i·mate/ (prok´si-mit) immediate or nearest.

prox·i·mate
adj.
Closely related in space, time, or order; very near; proximal.



proximate

immediate; nearest.
 body composition. Can. J. Fish. Aquat. Sci. 48: 2333-2343.

Kurita, Y., S. Meier, and O. S. Kjesbu. 2003. Oocyte growth and fecundity regulation by atresia of Atlantic herring (Clupea harengus) in relation to body condition throughout the maturation cycle. J. Sea Res. 49:203-219.

Lowe, S. A., and L. Fritz. 1994. Atka mackerel. In Stock assessment and evaluation report for the groundfish resources of the Bering Sea/Aleutian Islands regions, 11-1-11-43. North Pacific Fisheries Management Council, P.O. Box 103136, Anchorage, Alaska, 99510.

Lowe, S., J. Ianelli, H. Zenger, and R. Lauth. 2003. Stock assessment of Aleutian Islands Atka mackerel. In Stock assessment and evaluation report for the groundfish resources of the Bering Sea/Aleutian Islands regions, p. 711-776. North Pacific Fisheries Management Council, P.O. Box 103136, Anchorage, Alaska 99510.

Lowe, S., J. Ianelli, H. Zenger, and R. Reuter. 2002. Atka mackerel. In Stock assessment and evaluation report for the groundfish resources of the Bering Sea/Aleutian Islands regions, p. 609-667. North Pacific Fisheries Management Council, P.O. Box 103136, Anchorage, Alaska 99510.

Ma, Y., O. S Kjesbu, and T. Jorgensen. 1998. Effects of ration on the maturation and fecundity in captive Atlantic herring, (Clupea harengus). Can. J. Fish. Aquat. Sci. 55:900-908.

McDermott, S. F. 2003. Estimating abundance of a patchily distributed fish, Atka mackerel, Pleurogrammus monopterygius. Ph.D. diss., 149 p. Univ. Washington, Seattle, WA.

McDermott, S. F., and S. A. Lowe. 1997. The reproductive cycle reproductive cycle
n.
The cycle of physiological changes that begins with conception and extends through gestation and parturition.
 and sexual maturity of Atka mackerel, Pleurogrammus monopterygius in Alaska waters. Fish. Bull. 95:321-333.

Nichol D. G., and E. I. Acuna. 2001. Annual batch fecundities of yellowfin sole, Limanda aspera, in the eastern Bering Sea Bering Sea, c.878,000 sq mi (2,274,020 sq km), northward extension of the Pacific Ocean between Siberia and Alaska. It is screened from the Pacific proper by the Aleutian Islands. The Bering Strait connects it with the Arctic Ocean. . Fish. Bull. 99:108-122.

Nichol, D. G., and D. A. Somerton. 2002. Diurnal diurnal /di·ur·nal/ (di-er´nal) pertaining to or occurring during the daytime, or period of light.

di·ur·nal
adj.
1. Having a 24-hour period or cycle; daily.

2.
 vertical migration of the Atka mackerel Pleurogrammus monopterygius as shown by archival tags. Mar. Ecol. Prog. Ser. 239:193-207.

Venables, W. N., and B. D. Ripley. 2002. Modern applied statistics with S-plus, 495 p. Springer-Verlag Inc., New York New York, state, United States
New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of
, NY.

Zolotov, O. G. 1993. Notes on the reproductive biology of Pleurogrammus monopterygius in Kamchatkan waters. J. Ichthyol. 33:(4):25-37.

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Susanne F. McDermott (contact author) (1)

Katherine P. Maslenikov (2)

Donald R. Gunderson (2)

Email address See Internet address.  for S F. McDermott: Susanne.McDermott@noaa.gov

(1) National Marine Fisheries Service

Alaska Fisheries Science Center

7600 Sand Point Way NE

Seattle, Washington This page is protected from moves until disputes have been resolved on the .
The reason for its protection is listed on the protection policy page.
 98115

(2) University of Washington

School of Aquatic and Fisheries Sciences

Box 355020

Seattle, Washington 98195
Table 1
Number of fish collected by year, month, and National
Marine Fisheries Service (NMFS) statistical area. The
number of samples with postovulatory follicles, i.e., in
spawning or postspawning condition are shown in paren-
theses.

                    NMFS statistical areas

Year    Month     541    542      543      620    Total

1993    October         4 (4)             5 (5)      9
1994    June       57                               57
        July            49      34 (11)             83
        August                  10 (9)              10
Total              57   53      445                159

Table 2
Atka mackerel length-fecundity coefficients derived with the equation
F = a [L.sup.b], where F = fecundity and L = fish fork length (cm).
SE = standard error of the mean. CI = 95% confidence intervals for
predicted values of the mean. n = number of fish in sample.

                                         Constants

                                       a             b

Fecundity type               Estimate      SE     Estimate     SE

Potential                     0.5601     0.5067    3.0865    0.2409
  [fecundity.sub.total]
Potential                     2.3716     2.0913    2.6517    0.2352
  [fecundity.sub.stage5+]
Number of atretic eggs        0.0013     0.0083    4.3303    1.6502
Batch fecundity               0.1157     0.1923    2.9726    0.4536
Realized
  [fecundity.sub.total]
Realized
  [fecundity.sub.stage5+]

                              Mean value              SD

Batch number                    6.13                 1.35
  [potential.sub.stage5+]
Batch number                    7.04                 1.52
  [potential.sub.total]
Batch number                    4.64                 1.03
  [realized.sub.stage5+]
Batch number                    5.60                 1.15
  [realized.sub.total]

                                            Estimate for
Fecundity type                n    40-cm female ([+ or -] 95% CI)

Potential                    130        49,321 [+ or -] 2535
  [fecundity.sub.total]
Potential                    130        41,994 [+ or -] 2061
  [fecundity.sub.stage5+]
Number of atretic eggs         9        11,329 [+ or -] 8802
Batch fecundity               33          6689 [+ or -] 577
Realized                                37,992 [+ or -] 7873
  [fecundity.sub.total]
Realized                                30,664 [+ or -] 7730
  [fecundity.sub.stage5+]

Batch number                  33          6.13 [+ or -] 2.64
  [potential.sub.stage5+]
Batch number                  33          7.04 [+ or -] 2.98
  [potential.sub.total]
Batch number                  33          4.64 [+ or -] 2.01
  [realized.sub.stage5+]
Batch number                  33          5.33 [+ or -] 2.25
  [realized.sub.total]
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Author:McDermott, Susan F.; Maslenikov, Katherine P.; Gunderson, Donald R.
Publication:Fishery Bulletin
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Date:Jan 1, 2007
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