pp257-261
Size data for red sea urchins, Strongylocentrotus franciscanus, at San Nicolas Island, CA (Ebert and Russell 1993). Data are for animals that were collected on large concrete blocks along a subtidal fuel line and were part of a tagging and recapture study. Depth was 8-9m and the location was about 120m offshore and inshore from the fuel bouys. All measurements are in centimeters.
Block #1, 10 February 1990
1.1, 1.3, 1.4, 1.5, 1.7, 1.8, 1.8, 1.8, 1.8, 1.9, 1.9, 2.0, 2.0, 2.1, 2.1, 2.1, 2.1, 2.2, 2.2, 2.2, 2.3, 2.3, 2.3, 2.3, 2.4, 2.4, 2.4, 2.5, 2.5, 2.5, 2.5, 2.6, 2.7, 2.7, 2.7, 2.8, 2.8, 2.8, 2.9, 2.9, 2.9, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.1, 3.1, 3.1, 3.1, 3.1, 3.1, 3.1, 3.1, 3.4, 3.5, 3.5, 3.5, 3.5, 3.6, 3.6, 3.6, 3.7, 3.7, 3.7, 3.8, 3.8, 3.8, 3.9, 3.9, 3.9, 3.9, 3.9, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.1, 4.1, 4.1, 4.1, 4.1, 4.1, 4.1, 4.1, 4.1, 4.1, 4.1, 4.2, 4.2, 4.3, 4.3, 4.3, 4.3, 4.3, 4.3, 4.3, 4.4, 4.4, 4.4, 4.4, 4.4, 4.4, 4.4, 4.4, 4.4, 4.4, 4.4, 4.5, 4.5, 4.5, 4.6, 4.6, 4.6, 4.6, 4.6, 4.6, 4.6, 4.6, 4.6, 4.6, 4.7, 4.7, 4.7, 4.7, 4.7, 4.7, 4.7, 4.7, 4.8, 4.8, 4.8, 4.8, 4.8, 4.9, 4.9, 4.9, 4.9, 5.0, 5.0, 5.1, 5.1, 5.2, 5.2, 5.2, 5.2, 5.2, 5.3, 5.3, 5.4, 5.4, 5.4, 5.4, 5.4, 5.4, 5.5, 5.5, 5.5, 5.5, 5.5, 5.6, 5.6, 5.7, 5.7, 5.7, 5.7, 5.8, 5.8, 5.8, 5.8, 5.8, 5.8, 5.8, 5.8, 5.8, 5.8, 5.9, 6.0, 6.0, 6.0, 6.0, 6.0, 6.1, 6.1, 6.2, 6.2, 6.2, 6.2, 6.4, 6.4, 6.4, 6.5, 6.6, 6.6, 6.6, 6.7, 6.7, 6.8, 6.8, 6.9, 6.9, 6.9, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.1, 7.1, 7.1, 7.1, 7.1, 7.2, 7.3, 7.4, 7.4, 7.4, 7.5, 7.7, 7.7, 7.8, 7.8, 7.8, 7.8, 7.9, 7.9, 8.1, 8.2, 8.2, 8.2, 8.2, 8.3, 8.3, 8.4, 8.4, 8.4, 8.4, 8.4, 8.4, 8.5, 8.5, 8.5, 8.7, 8.7, 8.8, 8.8, 8.8, 8.9, 8.9, 8.9, 8.9, 8.9, 9.0, 9.0, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.3, 9.4, 9.4, 9.5, 9.7, 9.8, 9.9, 10.0
Block #2. 25 March 1990
0.97, 1.20, 1.21, 1.25, 1.31, 1.45, 1.47, 1.51, 1.53, 1.55, 1.56, 1.66, 1.66, 1.68, 1.69, 1.69, 1.70, 1.72, 1.76, 1.82, 1.84, 1.86, 1.90, 1.90, 1.94, 1.96, 1.97, 2.01, 2.03, 2.05, 2.07, 2.07, 2.07, 2.09, 2.13, 2.21, 2.23, 2.25, 2.28, 2.29, 2.29, 2.31, 2.33, 2.34, 2.35, 2.37, 2.38, 2.38, 2.48, 2.53, 2.57, 2.59, 2.63, 2.64, 2.65, 2.65, 2.65, 2.71, 2.76, 2.78, 2.80, 2.83, 2.83, 2.88, 2.96, 3.06, 3.08, 3.09, 3.10, 3.18, 3.22, 3.28, 3.29, 3.32, 3.51, 3.56, 3.59, 3.60, 3.63, 3.66, 3.73, 3.73, 3.78, 3.79, 3.80, 3.80, 3.81, 3.81, 3.84, 3.85, 3.91, 3.94, 3.95, 3.95, 4.00, 4.02, 4.06, 4.10, 4.14, 4.16, 4.25, 4.34, 4.36, 4.38, 4.39, 4.39, 4.41, 4.41, 4.43, 4.46, 4.49, 4.50, 4.54, 4.57, 4.65, 4.66, 4.76, 4.77, 4.82, 4.83, 4.86, 4.88, 4.93, 4.95, 4.99, 5.02, 5.02, 5.05, 5.06, 5.18, 5.22, 5.24, 5.24, 5.32, 5.33, 5.40, 5.44, 5.47, 5.47, 5.47, 5.50, 5.50, 5.51, 5.52, 5.54, 5.56, 5.56, 5.60, 5.60, 5.61, 5.70, 5.72, 5.73, 5.73, 5.78, 5.78, 5.79, 5.83, 5.85, 5.86, 6.00, 6.04, 6.09, 6.11, 6.23, 6.23, 6.37, 6.45, 6.46, 6.56, 6.56, 6.61, 6.64, 6.75, 6.75, 6.78, 6.78, 6.89, 6.92, 6.94, 7.02, 7.04, 7.09, 7.15, 7.20, 7.21, 7.23, 7.24, 7.24, 7.34, 7.45, 7.55, 7.91, 7.95, 7.96, 8.14, 8.18, 8.18, 8.18, 8.21, 8.22, 8.25, 8.45, 8.47, 8.53, 8.58, 8.60, 8.67, 8.72, 8.79, 8.80, 8.87, 8.87, 8.90, 8.90, 8.93, 8.96, 8.98, 9.09, 9.22, 9.26, 9.30, 9.31, 9.39, 9.56, 9.58, 9.60, 9.63, 9.63, 9.75, 9.78, 10.97
Note: Size structure for 1991 is from the data set of tagged animals provided in Chapter 11. In order to use the data of recovered animals to construct a size-frequency distribution it is necessary to estimate sizes of animlas that disarticulated during cleaning:
1. Estimate regression parameters for Diameter (D) as a function of Jaw length (J), which is an allometry problem and so use
D = aJb
This can be viewed as a nonlinear regression or, following ln-transformation of the data, as a linear regression. You can use a Model I regression with all errors in diameter measurements or as a functional regression in which there are errors in both x and y (see p185).
2. Use the values of a and b to estimate D for all missing diameter measurements.
3. Create a new data file with measured and estimated diameters and use this file to construct a size-frequency distribution.
4. Do this for Blocks 1 and 2 and you will be able to construct Figure 13.22, calculate mean sizes, choose a value for SR, and estimate Z using the program ZTAN.BAS.