10.04.2013 Views

Carbaryl, Carbofuran, and Methomyl - National Marine Fisheries ...

Carbaryl, Carbofuran, and Methomyl - National Marine Fisheries ...

Carbaryl, Carbofuran, and Methomyl - National Marine Fisheries ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

For Figure 3C, an exposure pulse would result in a 1-day spike followed by a decline to<br />

the impacted level based upon the prey toxicity. During exposures resulting in low prey<br />

toxicity, toxicity-limited recovery can occur. After exposure ends a constant rate of<br />

recovery proceeds until control drift is reached or another exposure occurs<br />

preyavail=preydrift(day-1)-floor;<br />

preytox=1/(1+(concentration)^preyslope);<br />

preyrecrate=0.01;<br />

preydriftrec = preyrecrate*preytox.<br />

time=start; spike=(-1+10^(1.654*preyavail))*(1-preytox)<br />

preydrift =preydrift+spike<br />

start ≤ time ≤ end; preydrift=(preyavail*preytox)+preyrdriftrec+floor;<br />

time>end; preydrift = preydrift(day-1)+preydriftrec<br />

Figure 2F is generated by using the output of Figure 2C for a given time as the input for<br />

2D <strong>and</strong> using the resulting output of 2D as the input for 2E. The resulting output of 2E<br />

produces a single time point in the relationship in 2F. Performing this series of<br />

computations across multiple days produces the entire relationship in 2F. 4D is generated<br />

by taking the outputs of 4A <strong>and</strong> 4B for the same day. Note the relationship of 4A is<br />

equivalent to 2F. The resulting outputs of 4A <strong>and</strong> 4B are multiplied to produce a final<br />

ration for a given day. The prey abundance (4B) available for consumption during a prey<br />

spike is capped at a maximum of 1.5*control drift to provide a limited benefit to the<br />

individual fish. The final ration is used as input for 4C to generate 4D.<br />

Population Model<br />

The weight distributions from the organismal growth portion of the model are used to calculate<br />

size-dependent first-year survival for a life history matrix population model for each species <strong>and</strong><br />

life history type. This incorporates the impact that reductions in size could have on population<br />

growth rate <strong>and</strong> abundance. The first-year survival element of the transition matrix incorporates<br />

a size-dependent survival rate for a three- or four-month interval (depending upon the species)<br />

which takes the juveniles up to 12 months of age. This time represents the 4-month early winter<br />

survival in freshwater for stream-type Chinook salmon, coho, <strong>and</strong> sockeye models. For ocean-<br />

541

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!