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Bottom Trawl Surveys - Proceedings of a Workshop Held at Ottawa ...

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118<br />

with error calcul<strong>at</strong>ion. This situ<strong>at</strong>ion can be<br />

improved, however, by the applic<strong>at</strong>ion <strong>of</strong> a<br />

system<strong>at</strong>ic design to an area th<strong>at</strong> has already<br />

been str<strong>at</strong>ified by some criterion. Hhen this is<br />

done and the str<strong>at</strong>a are reasonably homogeneous,<br />

the system<strong>at</strong>ic design can be used, as the<br />

underlying assumption <strong>of</strong> NT= Z:nikt (where ni =<br />

sample mean <strong>of</strong> k samples in the i"h str<strong>at</strong>um) is<br />

met. Many <strong>of</strong> the surveys conducted on the North<br />

American Pacific coast are <strong>of</strong> this type.<br />

There are two other adjuncts to system<strong>at</strong>ic<br />

sampling th<strong>at</strong> have some kinship with<br />

encounter-response surveys [see next section]:<br />

the method <strong>of</strong> contiguous quadr<strong>at</strong>s (Grieg-Smith<br />

1964), wherein a fixed p<strong>at</strong>tern is gener<strong>at</strong>ed from<br />

a single point, and pair-sampling (Hughes 1962),<br />

wherein one sampling un1t 1s loc<strong>at</strong>ed randomly<br />

and the second <strong>of</strong> the pair is loc<strong>at</strong>ed a fixed<br />

distance from the first.<br />

As a final note, while some authors (e.g.,<br />

Sukh<strong>at</strong>me and Sukh<strong>at</strong>me 1970) tre<strong>at</strong> cluster<br />

sampling as a separ<strong>at</strong>e technique, 1t 1s<br />

essentially a combin<strong>at</strong>ion <strong>of</strong> system<strong>at</strong>ic sampling<br />

and optimal sample unit choice.<br />

ENCOUNTER-RESPONSE SURVEYS<br />

I do not know if this design<strong>at</strong>ion has been<br />

previously used to describe survey techniques,<br />

but I believe it is appropri<strong>at</strong>e to describe<br />

those surveys which are now being investig<strong>at</strong>ed<br />

by several agencies. This type <strong>of</strong> survey is a<br />

n<strong>at</strong>ural extension <strong>of</strong> area str<strong>at</strong>ific<strong>at</strong>ion and<br />

system<strong>at</strong>ic sampling. It is uniquely <strong>at</strong>tractive<br />

to overdispersed resources such as some demersal<br />

fish species. Eberhardt (1978) has presented<br />

some aspects <strong>of</strong> this type <strong>of</strong> samp I i ng a 1 though<br />

his line transects do not have the flexibility<br />

<strong>of</strong> estim<strong>at</strong>ion with regard to optimal searching<br />

and measuring. There are two basic approaches<br />

to encounter- response surveys: (1) an<br />

aggreg<strong>at</strong>ion is encountered and a pre-determined<br />

sampling p<strong>at</strong>tern around the aggreg<strong>at</strong>ion is<br />

gener<strong>at</strong>ed to estim<strong>at</strong>e its distribution and<br />

abundance; or (2) an aggreg<strong>at</strong>ion is encountered<br />

and its distribution is mapped, after which the<br />

distribution is subsampled with a system<strong>at</strong>ic<br />

p<strong>at</strong>tern to determine its abundance.<br />

The major advantages <strong>of</strong> the<br />

encounter-response survey are th<strong>at</strong>: it reduces<br />

the necessity for an assumption <strong>of</strong> homogeneity<br />

over the sampled area; 1t gre<strong>at</strong>ly reduces the<br />

number <strong>of</strong> zero elements in the d<strong>at</strong>a; it closely<br />

resembles commercial fishing activity and is<br />

therefore amenable to charter-bo<strong>at</strong> oper<strong>at</strong>ion;<br />

and it is appropri<strong>at</strong>e for multi-purpose<br />

surveys. The major disadvantages <strong>of</strong> encounterresponse<br />

surveys are th<strong>at</strong>: areas in between<br />

aggreg<strong>at</strong>ions are not sampled or are sampled <strong>at</strong><br />

much lower densities; the planning <strong>of</strong> cruises is<br />

hampered by uncertainty as to time necessary for<br />

sampling; and optimal planning <strong>of</strong> search<br />

p<strong>at</strong>terns requires some foreknowledge <strong>of</strong> the<br />

distribution and dispersion <strong>of</strong> the resource.<br />

Fortun<strong>at</strong>ely, many <strong>of</strong> these disadvantages are<br />

mitig<strong>at</strong>ed by inform<strong>at</strong>ion available through<br />

commercial fisheries.<br />

Hhere surveys are designed to provide<br />

estim<strong>at</strong>es <strong>of</strong> abundance <strong>of</strong> stocks subject to<br />

commercial exploit<strong>at</strong>ion and where inform<strong>at</strong>ion on<br />

the general distribution <strong>of</strong> th<strong>at</strong> fishery is<br />

available, the search p<strong>at</strong>tern for the cruise can<br />

be gener<strong>at</strong>ed around this distribution. Hhere<br />

the survey is for explor<strong>at</strong>ory purposes, more<br />

time will be required for searching.<br />

Estim<strong>at</strong>es derived from encounter- response<br />

surveys will be minimum estim<strong>at</strong>es due to the<br />

lack <strong>of</strong>, or minimal coverage for, areas between<br />

aggreg<strong>at</strong>ions. There wi II, however, be gre<strong>at</strong>er<br />

precision to the estim<strong>at</strong>es derived because the<br />

assumption <strong>of</strong> homogeneity over the sampling area<br />

will be met; this is seldom the case with even<br />

the best str<strong>at</strong>itic<strong>at</strong>1on. As noted earlier, the<br />

applic<strong>at</strong>ion <strong>of</strong> this type <strong>of</strong> survey is unique to<br />

highly aggreg<strong>at</strong>ed species; however, there is a<br />

limit<strong>at</strong>ion to this general fe<strong>at</strong>ure. The<br />

encounter-response technique wil I only be <strong>of</strong><br />

more rel<strong>at</strong>ive value when the size <strong>of</strong> the<br />

response element is significantly smaller than<br />

th<strong>at</strong> specified by any other design resulting in<br />

the same number <strong>of</strong> samples over t11e area. This<br />

is the case with widely distributed aggreg<strong>at</strong>ions<br />

having rel<strong>at</strong>ively unitorm density, such as<br />

Pacific hake and spiny dogfish. This is not a<br />

severe limit<strong>at</strong>ion because.other designs<br />

generally have a high proportion <strong>of</strong> zero<br />

elements, through sampling <strong>of</strong> intervals between<br />

aggreg<strong>at</strong>ions.<br />

The estim<strong>at</strong>ion <strong>of</strong> stock parameters (e.g.,<br />

mean density) is enhanced by encounter-response<br />

surveys but the calcul<strong>at</strong>ion <strong>of</strong> error limits<br />

about them may be problem<strong>at</strong>ical depending on the<br />

n<strong>at</strong>ure <strong>of</strong> the aggreg<strong>at</strong>ions encountered. Hhere<br />

individuals in the aggreg<strong>at</strong>ions have a<br />

distribution th<strong>at</strong> is constant among<br />

aggreg<strong>at</strong>ions, the values obtained for the<br />

estim<strong>at</strong>es should describe their own<br />

distribution, for which error limits can be<br />

calcul<strong>at</strong>ed. Often, the distribution <strong>of</strong> the fish<br />

school may be <strong>of</strong> the same order as the sampling<br />

unit and the result will be a Poisson<br />

distribution. In some instances, the<br />

distribution <strong>of</strong> individuals will vary among<br />

aggreg<strong>at</strong>ions but when the toregoing holds true<br />

this vari<strong>at</strong>ion will not be detected.<br />

Investig<strong>at</strong>ions designed to provide the<br />

appropri<strong>at</strong>e st<strong>at</strong>istical framework for this<br />

method are presently underway <strong>at</strong> this<br />

I abora tory.<br />

SAMPLING TECHNIQUES<br />

The estim<strong>at</strong>ion <strong>of</strong> the values <strong>of</strong> various<br />

characteristics for a species requires some<br />

minimum number <strong>of</strong> fish. In most c<strong>at</strong>ches, there<br />

may be considerably more fish than are needed<br />

and the c<strong>at</strong>ch must be subsampled. In addition<br />

to the fe<strong>at</strong>ures <strong>of</strong> an individual species, the<br />

species composition <strong>of</strong> the entire c<strong>at</strong>ch must be<br />

determined. These are two different problems<br />

and two approaches may be required. Hestrheim

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