YELLOW PERCH IN SAGINAW BAY 



381 



General Length-Weight Relation 



The determination of the length-weight rela- 

 tionship of Saginaw Bay yellow perch of 1943-55 

 collections was based on the combined data for 



Table 18. — Length-weight relationship of Saginaw Bay 

 yellow perch of the combined collections of 1943-55 



Number of fish 



Total 

 length 

 (inches) 



4.6 

 4.8 

 4.9 

 5.0 

 5.1 

 5.2 

 5.3 

 5.4 

 5.5 

 5.6 

 5.7 

 5.8 

 5.9 

 6.0 

 6.1 

 6.2 

 6.3 

 6.4 

 6.5 

 6.6 

 6.7 

 6.8 

 6.9 

 7.0 

 7.1 

 7.2 

 7.3 

 7.4 

 7.5 

 7.6 

 7.7 

 7.8 

 7.9 

 8.0 

 8.1 

 8.2 

 8.3 

 8.4 

 8.5 

 8.6 

 8.7 

 8.8 

 8.9 

 9.0 

 9.1 

 9.2 

 9.3 

 9.4 

 9.5 

 9.6 

 9.7 

 9.8 

 9.9 

 10.0 

 10.1 

 10.2 

 10.3 

 10.4 

 10.5 

 10.6 

 10.7 

 10.8 

 10.9 

 11.0 

 11.1 



11 

 11. 3 



11.4 

 11.5 

 11.6 

 12.0 

 12.1 

 12.3 

 12.5 

 12.6 

 13.0 

 13.1 

 13.2 

 13.3 

 13.6 

 13.8 

 14.9 



Weight (ounces) 



Empirical Calculated 



0.70 

 .70 

 .60 

 .76 

 .84 

 .86 

 .91 

 .99 

 1.03 

 1.12 

 1.13 

 1.21 

 1.26 

 1.35 

 1.44 

 1.54 

 1.59 

 1.67 

 1.78 

 1.88 

 1.91 

 2.02 

 2.16 

 2.29 

 2.39 

 2.54 

 2.56 

 2.74 

 2.90 

 3.09 

 3.01 

 3.25 

 3 30 

 3.59 

 3.72 

 3.97 

 3.87 

 4.26 

 4.50 

 4.56 

 4.69 

 5.06 

 5.01 

 5.27 

 5.83 

 5.85 

 5.72 

 6.17 

 6.23 

 6.69 

 6.50 

 6.62 

 6.98 

 7.38 



8.76 

 8.50 

 8.92 

 8.58 

 9.25 

 8.60 

 9.38 

 10.23 

 10.90 

 11.10 

 10.80 

 9.00 

 11.40 

 12.20 

 13. .50 

 12.50 

 14.00 

 16.10 

 13.50 

 15.80 

 17.50 

 17.40 

 18.50 

 21.00 

 28.80 

 24.50 



0.58 

 .66 

 .76 

 .76 

 .81 

 .86 



1.04 



1.10 



1.20 



1.23 



1.31 



1.38 



1.46 



1.54 



1.62 



1.70 



1.79 



1.88 



1.98 



2. 



2. 



18 



2.28 

 2.39 

 2.50 

 2.62 

 2.74 

 2.86 

 2.98 

 3.12 

 3.25 

 3.39 

 3.53 

 3.68 

 3.82 

 3.82 

 4.14 

 4.30 

 4.47 

 4.64 

 4.82 

 5.00 

 5.18 

 5.37 

 5.57 

 5.77 

 6.00 

 6.18 

 6.40 

 6.62 

 6.84 

 7.07 

 7.31 

 7.55 

 7.79 

 8.05 

 8.30 

 8.57 

 8.84 

 9.11 

 9.39 

 9.68 

 9.97 

 10.27 

 10.58 

 10.89 

 11.09 

 11.52 

 11.87 

 13.23 

 13.61 

 14.35 

 15. 13 

 15.53 

 17.19 

 17.64 

 18.08 

 18. 54 

 19.92 

 20.90 

 26.84 



Standard 

 length 

 (milli- 

 meters) 



Calculated 

 weight 

 (grams) 



100 

 102 

 105 

 108 

 111 

 113 

 114 

 116 

 119 

 121 

 123 

 124 

 127 

 129 

 132 

 135 

 136 

 138 

 140 

 143 

 144 

 145 

 148 

 151 

 154 

 156 

 157 

 159 

 162 

 164 

 166 

 168 

 170 

 172 

 178 

 180 

 183 

 185 

 187 

 189 

 191 

 194 

 196 

 198 

 200 

 202 

 205 

 207 

 209 

 211 

 213 

 216 

 218 

 220 

 222 

 224 

 227 

 229 

 231 

 233 

 235 

 240 

 243 

 245 

 247 

 249 

 252 

 254 

 256 

 258 

 267 

 269 

 274 

 278 

 281 

 290 

 292 

 294 

 296 

 303 

 307 

 332 



16 



19 



22 



22 



23 



24 



28 



28 



29 



31 



34 



35 



37 



39 



41 



44 



46 



48 



51 



53 



56 



59 



62 



65 



68 



71 



74 



78 



81 



84 



88 



92 



96 



100 



104 



108 



108 



117 



122 



127 



132 



137 



142 



147 



152 



158 



164 



170 



175 



181 



188 



194 



200 



207 



214 



221 



228 



235 



243 



251 



258 



266 



274 



283 



291 



300 



309 



314 



327 



336 



375 



386 



407 



429 



440 



487 



500 



512 



526 



565 



592 



761 



all fish regardless of time of capture, sex, and 

 state of maturity (table 18). This procedure 

 gives the most practical curve for conversions 

 between length and weight. The fitting of a 

 straight line (by least squares) to the logarithms 

 of lengths and weights of table 18 led to the 

 equation: log W = -2.3982 + 3.2620 log L, 

 where W = weight in ounces and L = total 

 length in inches. This equation may be written 

 also in the form W = 3.9975 X lO 3 L 3 - 2620 . 



In the graphical representation of the length- 

 weight relation (fig. 10) the smooth curve repre- 

 sents the calculated weights and the dots the 

 empirical ones. The agreement of the calculated 

 and empirical weights (table 18) was satisfac- 







4 6 8 - 10 12 



TOTAL LENGTH IN INCHES 



Figure 10. — Length-weight relation. The smooth curve 

 represents the calculated weights and the dots repre- 

 sent the empirical weights. 



