Demographic Analysis of the Shortfin Mako Isurus oxyrinchus Rafinesque, 1809 

A) Using Cailliet et al. (1983) assumption of 1 bandpair/year  B) Using Pratt and Casey (1983) assumption of 2 bandpairs/year 
Ageatmaturity 13.5 years
; Ageatfirstreproduction (α) 15.0 years ; Longevity (ω) about 21years ,; Mortality, M = 0.1645 yr1 (S = 84.8%) based on longevity of 21 years and using M = ln(0.01)/21 ; Llitter of 12.5 every third year, i.e. fecundity of 12.5/6 =2.083 Gestation period 1.5 yr σ/α = 1.3 (using low value of range 1.31.5 because species is relatively short lived), thus σ = 18.2 yr. 
Ageatmaturity 6.5 years
; Ageatfirstreproduction (α) 8.0 years ; Longevity (ω) about 28 years,; Mortality, M = 0.2193 yr1 (S = 80.3%) based on longevity of 15 years and using M = ln(0.01)/28; Llitter of 12.5 every third year, i.e. fecundity of 12.5/6 =2.083 Gestation period 1.5 yr σ/α = 1.3 (using low value of range 1.31.5 because species is relatively short lived), thus σ = 9.1 yr. 
Elasticities from α = 15.0 yr, σ = 18.2 yr, and GP = 0.1.5
yr Normalized elasticities: E1 = 4.9%, E2 = 65.9%, E3 = 29.3% 
Elasticities from α = 8yr, σ = 10.4yr, and GP = 1.5 yr Normalized elasticities: E1 = 8.8%, E2 = 57.0%, E3 = 34.2% 
Solution using life history table or 21x21
Leslie matrix (Mollet and Cailliet 2002, unpublished manuscript based on
(α) = 7 yr): Lambda = 1.0810, growth rate of stable population (r = ln (λ) = 0.0779 yr^{1}); Net reproductive rate Ro = 2.1944, Generation "times": Abar = 9.71 yr (an age), T = ln(Ro)/r = 10.1 yr, μ_{1} = 10.5 yr (an age) (Abar/α = 1.387); Elasticities E1 = 0.1029, E2 = 0.7203, E3 = 0.2797; sum is 1.1029 Normalized elasticites E1 = 9.3%, E2 = 65.4%, E3 = 25.3%. Recent aging work by others had indicated that ageatfirst reproduction was more likely to be around 15 years than the 7 years we used in this withdrawn manusript. However, these calculations based on incorrect vital parameters i.e. α off by about a factor of 2, indicate that the elasticity pattern is still roughly correct with E2 by far the largest term. 