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

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(e.g., growth or reproduction) were not included. If specific data were represented more than<br />

once in the ECOTOX output, duplicates were eliminated. Data from recent peer-reviewed<br />

studies that report survival EC50s were also included (Norberg-King, Durhan et al. 1991;<br />

Takahashi <strong>and</strong> Hanazato 2007). Next, we calculated the geometric mean when more than one<br />

survival EC50 was reported for a species.<br />

Probability distributions of aquatic prey survival toxicity values (EC50s)<br />

We plotted the survival EC50 data for each of the three insecticides using cumulative probability<br />

distributions. We also plotted the data based on all test results for the species without taking the<br />

geometric means. From the distributions of the data, a single effect concentration <strong>and</strong> slope were<br />

derived to best represent the diverse community of prey available in juvenile salmonid<br />

freshwater <strong>and</strong> estuarine habitats. The distributions of individual EC50s <strong>and</strong> the geometric<br />

means of EC50s by taxa were analyzed to estimate the 50 th , 10 th , <strong>and</strong> 5 th percentiles. Figure 43<br />

shows the distributions of geometric means of EC50s by taxa. Specifically, for each pesticide, a<br />

probability plot was used to graph the EC50 concentrations normalized to a normal probability<br />

distribution. For each plot, the X axis is scaled in probability (between zero <strong>and</strong> 100%) <strong>and</strong><br />

shows the percentage of entire data whose value is less than the data point. The Y axis displays<br />

the range of the data on a log scale. The results of a linear regression of the log-transformed<br />

concentrations are shown <strong>and</strong> highlight the lognormal distribution of the data (Figure 43). In the<br />

regression equation, the normsinv function returns the inverse of the st<strong>and</strong>ard normal cumulative<br />

distribution. The st<strong>and</strong>ard normal distribution has a mean of zero <strong>and</strong> a st<strong>and</strong>ard deviation of<br />

one. For example, given a percentile value of 50 (i.e., a probability of 0.5), normsinv(50) returns<br />

a value of zero. The plots <strong>and</strong> regressions were performed using KaleidaGraph 4.03 (Synergy<br />

Software).<br />

410

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