Vital Rates (Life History Parameters)
of the White Shark, Carcharodon carcharias
| Parameter | Female | Male | References |
|---|---|---|---|
| Largest specimens (Total length and mass) |
~7 m TL?, ~3000 kg | ~6.0; 6.2 mTL; | Guidici and Fino 1989; Hubell (1996, H112690); Mollet (unpubl. data); |
| Oldest documented age | 22(+-1) bands in 5.36 m TL N North Cape specimen; 23 bands in ~5.7-6.0 m TL Gans Bay specimen |
Francis 1996; Mollet et al. (1996), | |
| Size at maturity | ~ 4.7 - 5.0 m TL | ~3.8 m TL, ~3.0 m PCL | Cliff et al. 1989; Pratt 1996; Bruce 1992; Mollet et al. 2000; Bruce et al. 2001; |
| Smallest mature | ~4.7; 4.8; 5.1 m TL | 3.50 TL, 2.93 m PCL; | Uchida et al. 1996; Cliff et al. 1996; Mollet (unpubl. data); |
| Largest immature | 4.8; 4.9; 5.2 mTL; | ~4.1 m TL, 3.4 m PCL; | Cliff et al. 1989; Bruce 1992; Mollet et al. 2000; Mollet (unpubl. data); |
| Sizes at which 10, 50, and 90% are mature (c) | ~4.8, ~4.95, ~5.2 mTL |
~3.5, ~3.8, ~4.1 mTL |
Rough estimates using smallest mature and largest immature (Mollet 2001, La Paz Presentation) |
| Estimated age at maturity | ~15-18 yr (using VBGF with TL = 5.0 m) | ~8-10 yr (using VBGF with TL = 3.85 m) | Cailliet et al. 1985; Bruce et al. 2001 |
| Gestation time | 18 months? | Mollet et al. 2000; Bruce et al. 2001; Compagno 2002; | |
| Reproductive cycle | 3 years? | Mollet et al. 2000; Bruce et al. 2001; Compagno 2002; | |
| Litter size (# of pups in litter) | 2-10(14?), mean 8.9 | Francis 1996; Mollet and Cailliet 2002; | |
| Birth size estimate | 1.2-1.5 m TL | Francis 1996 | |
| Smallest free-swimming (Western North Atlantic) | 1.22 m TL, 12-16 kg; | Ellis and McCosker 1991; Francis 1996 | |
| Smallest free-swimming (South Africa) | 1.40 m TL, 1.14 m PCL, 20 kg; | Cliff et al. 1996 | |
| Smallest free-swimming (California) | 1.26 m TL; | Mollet (unpubl. data) | |
| First year growth | 0. 35 m TL based on VBFG by Cailliet et al. 1985 | Cailliet et al. 1985; | |
Von Bertalanffy Growth Function (VBGF)![]() |
sexes combined in all cases; TLoo = 7.64 m, TLo = 1.41 m (to = - 3.53 yr), k = 0.058 yr-1 (5ln(2)/k = 60 yr); TLoo = 6.86 m, TLo = 1.71 m (to = -4.4 yr), k = 0.065 yr-1 (5ln(2)/k = 53 yr); TLoo = 6.70 m, TLo =1.01 m (to = -2.3 yr), k = 0.071 yr-1 (5ln2/k = 49 yr); |
||
| Mass-TL relationship (a) | M(kg) = 7.915 TL3.0958 (m), sexes combined (b) | Mollet and Cailliet 1996; | |
| Mass-PCL relationships (a) (sexes combined) |
M (kg) = 16.03 PCL2.97 (m), NSB n =
309; M (kg) = 16.54 PCL2.944 (m), NSB n = 383; M (kg) = 16.26 PCL2.9851 (m), worldwide n = 327 (b); |
Cliff
et al. 1989; Cliff et al. 1996; Mollet and Cailliet 1996; |
|
| Elasticity estimates based on alpha = 15 yr, Abar/ alpha = 1.5 (thus Abar = 22.5 yr), and GP = 1.5 yr | E(m) = 1/Abar = 1/22.5 = 0.044; E(JS) = 0.600, E(JS)/E(m) = ER2 = alpha - GP = 13.5; E(AS) = 0.400, E(AS)/E(m) = ER3 = Abar - alpha + GP = 9.0; Sum = 1.044; ER2 + ER3 = Abar |
Mollet 2003 (AES Manaus) |
|
| Parameter | Female | Male | References |
a) The pre-exponential constant gives the weight of a 1 m TL or 1 m PCL white
shark because meter was used as length unit or reported equation was converted
to m;
b) Back-transformed geometric mean (GM) power regression.
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 Mollet
and Cailliet (2002) in a preliminary demographics analysis:
M ~-ln(0.01)/60 = 0.07675 yr-1;
Alpha ~15 yr;
w ~ 60 years; some calculations with w = 36 yr;
m ~ 8.9/(2x3) = 1.433
Results: Lambda = 1.082, Ro = 6.163, Abar = 20.9 yr (Abar/alpah = 1.39),
T = 23.1 yr, mu1 = 26.2 yr
Elasticity results: E(m) = 0.048; E(JS) = 0.670, E(JS)/E(m) = 14.0
(i.e. GP = 1.0 yr) ; E(AS) = 0.330, E(AS)/E(m) = 6.9 (Sum = 1.048)
Normalized elasticites for comparison with estimates above: 4.6%, 63.9%,
31.5%