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Report No. 6945<br />

BBN Systems <strong>and</strong> Technologies Corporation<br />

specific site. This distance is sufficient to provide for inclusion <strong>of</strong> site<strong>and</strong><br />

frequency-specific propagation effects for depths less than 50 m <strong>and</strong> is<br />

representative <strong>of</strong> distances for which behavioral influences have been observed<br />

in several species exposed to moderate source levels (Sec. 2.4).<br />

The effective density <strong>of</strong> a given source type within a specific 1 km 2<br />

region is determined by observation or by <strong>the</strong> use <strong>of</strong> statistical probability<br />

based on knowledge <strong>of</strong> source concentration locations <strong>and</strong> travel patterns for<br />

moving sources. The effective source density is used to determine <strong>the</strong> probability<br />

<strong>of</strong> encounter (Pe) for specific source - marine mammal situations. This<br />

can be applied to moving sources as well as fixed sources by recognizing that<br />

<strong>the</strong> probability <strong>of</strong> a marine mammal encounter'ng a source (or vice-versa) is<br />

prqportional to <strong>the</strong> number <strong>of</strong> sources per km 3 <strong>and</strong> to <strong>the</strong> number <strong>of</strong> mammals per<br />

km . It is also proportional to <strong>the</strong> speed <strong>of</strong> travel <strong>of</strong> both source <strong>and</strong><br />

receiver if <strong>the</strong>y are moving. This is a result <strong>of</strong> <strong>the</strong> model requiring an<br />

estimate <strong>of</strong> Pe over a 2 hour reference period ra<strong>the</strong>r than just an instantaneous<br />

value. This probability calculation requires estimates <strong>of</strong> both <strong>the</strong><br />

number <strong>of</strong> sources <strong>and</strong> <strong>the</strong> number <strong>of</strong> mammals in a given area, as well as speed<br />

<strong>of</strong> travel information. In developing <strong>the</strong> physical acoustics portion <strong>of</strong> <strong>the</strong><br />

model we have assumed that a subject mammal is present, so that this portion<br />

<strong>of</strong> <strong>the</strong> joint probability estimate is unity. Thus, for <strong>the</strong> present, we need to<br />

consider only <strong>the</strong> probability <strong>of</strong> this mammal encountering a source.<br />

If a specific source type may be found with equal probability anywhere<br />

within a defined area, <strong>the</strong>n <strong>the</strong> probability <strong>of</strong> encountering this source within<br />

a 1 km 2 zone surrounding a r<strong>and</strong>omly selected receiver location is 1/A where A<br />

is <strong>the</strong> total area defined in <strong>the</strong> modeling procedure. If <strong>the</strong>re are N sources<br />

in <strong>the</strong> total area, <strong>the</strong>n Pe = N/A which is equal to <strong>the</strong> source density. This<br />

procedure is applicable to both fixed <strong>and</strong> moving sources since, for a fixed<br />

source, <strong>the</strong> receiver may be located anywhere in <strong>the</strong> model area with equal<br />

probability unless specific sites are being modeled. In this case, fixed<br />

sources in <strong>the</strong> area would have a Pe = 1.<br />

If <strong>the</strong> source types being considered are not uniformly distributed<br />

because <strong>of</strong> geographic or operational constraints, <strong>the</strong>n appropriate probability<br />

functions must be used to specify Pe in terms <strong>of</strong> receiver location. These<br />

specialized probability functions can be estimated by considering <strong>the</strong> areas <strong>of</strong><br />

concentration associated with specific source types within a larger total<br />

region involved in a general analysis. This procedure is used in applying <strong>the</strong><br />

SNC Model to specific OCS planning areas where source concentrations such as<br />

fishing areas, coastal shipping lanes, <strong>and</strong> airports are located. In <strong>the</strong>se<br />

cases, <strong>the</strong> area used in estimating <strong>the</strong> Pe value for a given source type is<br />

determined by <strong>the</strong> size <strong>of</strong> <strong>the</strong> region(s) where <strong>the</strong>se sources are located most<br />

<strong>of</strong> <strong>the</strong> time.<br />

In <strong>the</strong> special case <strong>of</strong> airports, <strong>the</strong> region <strong>of</strong> highest sound concentration<br />

is located <strong>of</strong>f <strong>the</strong> ends <strong>of</strong> runways. When <strong>the</strong> flight pattern from a<br />

runway is located over water, aircraft sound enters <strong>the</strong> water along a narrow<br />

track under <strong>the</strong> flight pattern <strong>and</strong> is propagated horizontally to a degree<br />

determined by <strong>the</strong> bottom conditions <strong>and</strong> water depth, as shown previously in<br />

Section 4.3. At some distance from <strong>the</strong> airport <strong>the</strong> sound in <strong>the</strong> water<br />

produced by larger aircraft usually drops below ambient levels as <strong>the</strong> aircraft

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