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Fishery bulletin of the Fish and Wildlife Service - NOAA

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164 FISHEBY BULLETIN OF THE FISH AND WILDLIFE SEBVICE<br />

places <strong>of</strong> least intense spawning are areas with broken bottom where tidal <strong>and</strong> general<br />

circulation produce extensive vertical turbulence, drawing cold water from <strong>the</strong> depths<br />

to <strong>the</strong> surface, <strong>the</strong>reby delaying <strong>the</strong> vernal warming <strong>of</strong> <strong>the</strong> upper strata, as a rule,<br />

until <strong>the</strong> mackerel spawning season is over. As nearly as may be determined from <strong>the</strong><br />

information on hydrographie conditions (Bjerkan, 1919, pp. 379-403, Bigelow, 1928,<br />

pp. 550-585) <strong>and</strong> on spawning times <strong>and</strong> places (see above), <strong>the</strong> dividing line between<br />

good <strong>and</strong> poor spawning areas may be drawn at a vernal temperature <strong>of</strong> about 8°C.,<br />

(46° F.). The areas that receive little or no spawn are, during <strong>the</strong> spawning season,<br />

usually colder, <strong>and</strong> those that receive much spawn are usually warmer than this<br />

temperature.<br />

NUMBER OF EGGS SPAWNED AND SIZE OF SPAWNING STOCK<br />

A rough estimate <strong>of</strong> <strong>the</strong> total number <strong>of</strong> eggs spawned in <strong>the</strong> region between Cape<br />

Cod <strong>and</strong> Cape Hatteras can be made from <strong>the</strong> data <strong>of</strong> <strong>the</strong> 1932 survey <strong>of</strong> spawning.<br />

The average catch during <strong>the</strong> first seven cruises was about 1,000 eggs per 17 square<br />

meters <strong>of</strong> sea surface (table 19), or an equivalent <strong>of</strong> about 200 million eggs per square<br />

nautical mile. Talcing 25,000 square miles as <strong>the</strong> areas surveyed, this would amount<br />

to a total <strong>of</strong> 5,000 billion eggs. Since this figure is based on <strong>the</strong> average concentration<br />

during a 50-day period, <strong>and</strong> since <strong>the</strong> period <strong>of</strong> incubation would average about 7 days<br />

at <strong>the</strong> prevailing temperature, <strong>the</strong>re must have been about 7 renewals or approximately<br />

35,000 billion e°gs spawned to maintain this average concentration. From a curve <strong>of</strong><br />

numbers <strong>of</strong> eggs taken in successive cruises, it appears that perhaps one-seventh should<br />

be added to allow for <strong>the</strong> fact that <strong>the</strong> cruises did not begin early enough or extend<br />

late enough to include all <strong>the</strong> spawning. This raises <strong>the</strong> figure to 40,000 billions eggs.<br />

These are in all stages, <strong>and</strong> it may be computed from mortality rates <strong>of</strong> eggs (table 7)<br />

that this would be equivalent to 1.6 times as many newly-spawned eggs. Applying<br />

this factor, <strong>the</strong> final estimate <strong>of</strong> eggs spawned in this area in 1932 becomes about<br />

64,000 billion.<br />

It is difficult to appraise <strong>the</strong> reliability <strong>of</strong> this estimate because <strong>of</strong> <strong>the</strong> uncertainty <strong>of</strong><br />

its components. Judging <strong>the</strong>se as well as may be, it appears that at best it may be<br />

within 25 percent <strong>of</strong> <strong>the</strong> true value <strong>and</strong> at worst only within <strong>the</strong> true order <strong>of</strong> magnitude.<br />

But this is only personal judgment, <strong>and</strong> since it is impossible to study statistical<br />

probabilities, <strong>the</strong>re is utility in testing <strong>the</strong> result by deriving a related statistic from<br />

an entirely different source.<br />

During 1932 <strong>the</strong> catch <strong>of</strong> mackerel on or near spawning grounds during <strong>the</strong><br />

spawning season; that is, in area XXITI (Fiedler; Manning, <strong>and</strong> Johnson 1934, p. 96),<br />

<strong>and</strong> in area XXII, west <strong>of</strong> Nantucket Shoals during April, May, <strong>and</strong> June, was about<br />

13,000,000 pounds. From unpublished records on size composition <strong>of</strong> this catch, it<br />

appears that about 10,000,000 pounds <strong>of</strong> it consisted <strong>of</strong> fish <strong>of</strong> spawning size, <strong>and</strong> that<br />

<strong>the</strong>n- average weight was nearly 1.9 pounds. Thus, a take <strong>of</strong> about 5,000,000 spawners<br />

is indicated. ' («*а в<br />

"0<br />

To estimate from this <strong>the</strong> size <strong>of</strong> <strong>the</strong> spawning stock it is necessary to know what<br />

percentage this was <strong>of</strong> <strong>the</strong> spawning stock in 1932. This may be done only in an<br />

indirect manner. The 1923 class <strong>of</strong> mackerel, after reaching spawning age, declined<br />

at a rate <strong>of</strong> 20 percent per year as measured by <strong>the</strong> catch per purse seine boat during<br />

<strong>the</strong> four seasons, 1928 to 1931 (Sette, 1933, p. 17). This decline was so steady that it<br />

probably should be ascribed to mortality ra<strong>the</strong>r than to o<strong>the</strong>r causes, such as changes<br />

in availability. Of course one cannot be sure that <strong>the</strong> spawning population in 1932<br />

was subject to <strong>the</strong> same mortality as <strong>the</strong> 1923 class during <strong>the</strong> previous years, but

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