Vital Rates (Life History Parameters)
of the Gray Smoothhound, Mustelus californicus


Parameter Female Male References
Largest specimens
(Total length and mass)
1.632; 1.26 m TL; 1.16; 0.93 m TL Miller and Lea 1972; Compagno 1984; Yudin and Cailliet 1990
Size range of specimens 0.235-1.259 mTL (n=31) 0.275-0.930 m TL (n=27) Yudin and Cailliet 1990
Size at maturity 0.70 m TL 0.57-0.65 m TL Yudin and Cailliet 1990
Smallest mature      
Largest immature      
Sizes at which 10, 50, and 90% are mature  

 

 
Estimated age at maturity 2.1 yr (using VBGF with TL = 0.70 m) 1.4-1.9 yr (using VBGF with TL = 0.57-0.65 m)

Yudin and Cailliet 1990; however they reported 1-4 yr for age-at-maturity in abstract?

Gestation time 6 months?    
Reproductive cycle 1 year   Cortés (2002)
Litter size (# of pups in litter) 2-5 Yudin and Cailliet 1990;, Cortés (2002)
Birth size estimate 20-30 cm TL Yudin and Cailliet 1990
Smallest free-swimming 23.5 cm TL Yudin and Cailliet 1990
First year growth 22.3 cm TL based on VBGF 21.2 cm TL based on VBGF Yudin and Cailliet 1990
Von Bertalanffy Growth Function (VBGF)McVBGF.gif
TLoo = 1.424 m,
TLo =0. 287 mm
(to = - 1.032 yr),
k = 0.218 yr-1
(5ln(2)/k = 15.9 yr);

TLoo = 1.018 m,
TLo =0. 301mm
(to = - 1.002 yr),
k = 0.350 yr-1
(5ln(2)/k = 9.9 yr);

Yudin and Cailliet 1990

Elasticity estimates based on alpha = 3.0 yr, Abar = 4.80yr, and GP = 0.5 yr E(m) = 1/Abar = 1/4.80 = 0.208;
E(JS)/E(m) = alpha - GP = 2.5, E(JS) = 0.521;
E(AS)/E(m) = Abar- alpha+GP = 2.2, E(AS) = 0.480;
Sum Elasticity Ratios = Abar = 4.8 yr;
Sum Elasticities = 1 + E(M) = 1.21
Mollet 2003 (AES Manaus)
Normalized elasticities:
E(fertility) = E(m)  = 17.2 %;
E(juvenile survival) = E(JS) = 43.1%;
E(adult sruvival) = E(AS) = 39.7%
Parameter Female Male References

 

Vital rates needed for demograhic analysis are age-specific mortality rate M (can be estimated from longevity), age-at-first reproduction (alpha = age-at-maturity + gestation period), longevity estimate w (can be estimated from Von Bertalanffy growth curve), and fertility m (number of female pups born per year). The following values were used by Cortés (2002) in a demographics analyses of 39 shark species:
M = 0.53-0.83 yr-1; Alpha =1, 2.5, 4 triangular distribution; w = 9.0 years; m =(2-5)/2= 1.0-2.5 uniform distribution
Results: Lambda = 1.132, Abar = 4.6 yr
Elasticity results for comparison with estimates given above: E(m) = 18.5%; E(JS) = 34.7% (ratio = 1.87); E(AS) = 47.8% (ratio = 2.53). Cortés (2002) predicts E(JS) < E(AS) whereas above estimates predict the reverse.


Created November 2002; updated November 2002. Back to previous page
Please send comments or corrections to mollet@pacbell.net