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Wahleach Project Water Use Plan Lower Jones Creek ... - BC Hydro

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were completed for pink salmon during the spawning channel operation, recent site specific<br />

survey life is not available for either chum or pink in <strong>Lower</strong> <strong>Jones</strong> <strong>Creek</strong>. The<br />

values used for survey life (r) are based on available information from the literature. A<br />

maximum survey life value for both chum and pink salmon was applied to a model<br />

developed by Korman et al. (2002) (Equation 2) which results in a decaying survey life<br />

value as the spawning period progresses. With this model each day within the spawning<br />

period is given a specific survey life and the day-specific survey life is applied to the total<br />

count on the corresponding day.<br />

Equation 2. Daily survey life calculation<br />

�<br />

�<br />

�<br />

max�<br />

�<br />

��<br />

ri � r 1�<br />

r<br />

r<br />

�<br />

half �c<br />

t<br />

�<br />

i<br />

�<br />

�<br />

rhalf<br />

�c<br />

rhalf<br />

�c<br />

�<br />

� t<br />

half i ��<br />

Where:<br />

c = modified slope constant<br />

r max = maximum survey life possible<br />

t half = the day at which the survey life is half the maximum<br />

t l = day of the run<br />

The maximum survey life ( r max) is determined using the mean r calculated by Perrin and Irvine<br />

(1990), for salmon spawning in the Georgia Straight Region. The maximum<br />

survey life selected for both chum and pink salmon was 18 days. The day at which the<br />

survey life is half of the maximum value ( t half) was defined as the date at which the sum<br />

of the peak live plus dead count was greatest. The rate of change of the survey life or<br />

slope of the survey life curve (c = 1.25 for pink, c = 1.0 for chum) has been used in<br />

previous studies and was tailored to ensure a reasonable minimum survey life ( r min) as<br />

defined by the literature.<br />

Uncertainty regarding survey life is assumed to be normally distributed around the<br />

assessed value, with a standard deviation assessed in Perrin and Irvine (1990) and<br />

outlined in Table 1. The normally distributed error for survey life eri is then calculated as:<br />

Equation 3. Survey life estimate error calculation<br />

Er = 1.96 √ V(r)<br />

Table 1 Survey-life calculation constants applied to escapement calculations<br />

Species rmax V(r) c<br />

Chum 18 0.42 1.25<br />

Pink 18 0.44 1.00<br />

where:<br />

rmax<br />

= maximum estimated survey life<br />

V(r)= Variance (r)<br />

c = modified slope constant<br />

The WUP monitoring TOR also describes a visibility/observer efficiency error calculation.<br />

<strong>Lower</strong> <strong>Jones</strong> <strong>Creek</strong> Fish Productivity Monitoring 2008-2009 6

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