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Longevity in Fish
• Maximum age on record for a species
• Used for– r versus K strategists– proxy for natural mortality– 1 of 5 criteria to estimate resilience
Taylor 1958
• Longevity as age at 95% of Linf
• A95 = 3 / K
• 353 species with longevity and VBGF from FishBase
Longevity vs Taylor’s 3/K
y = 0.8608x + 0.1983
R2 = 0.6525
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
-0.5 0.0 0.5 1.0 1.5 2.0 2.5
Taylor's maximum age (log; years)
Ob
se
rve
d lo
ng
ev
ity
(lo
g;
ye
ars
)
Longevity vs Temperature
y = -0.0142x + 1.3505
R2 = 0.0702
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
0 5 10 15 20 25 30
Mean annual temperature (degree Celsius)
Ob
serv
ed lo
ng
evit
y (l
og
; ye
ars)
Longevity vs Maximum Length
y = 0.6153x + 0.0252
R2 = 0.3714
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5
Maximum length (log; cm TL)
Ob
se
rve
d lo
ng
ev
ity
(lo
g;
ye
ars
)
Longevity vs Age at Maturity
y = x + 0.61
R2 = 0.674
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
-0.5 0.0 0.5 1.0 1.5
Age at maturity (log; years)
Ob
se
rve
d lo
ng
ev
ity
(lo
g;
ye
ars
)
Empirical EquationsEquation
Nr
Intercept log
3 / K
log
Lmax
log
tm
T n R2 C.V.
1 0.1983 0.8608 353 0.653 0.2093
4 0.0252 0.6153 353 0.371 0.2814
5 0.6608 0.9277 229 0.680 0.1726
6 1.3505 -0.0142 353 0.070 0.3423
7 0.0096 0.7455 0.1754 353 0.671 0.2039
8 0.3930 0.4163 0.5593 229 0.752 0.1523
9 0.2731 0.8434 -0.0035 353 0.654 0.2084
10 0.3832 0.1893 0.7891 229 0.707 0.1655
11 0.2543 0.6371 -0.0166 353 0.466 0.2597
12 0.2611 0.3740 0.1085 0.5173 229 0.760 0.1501
13 0.0980 0.6849 0.2195 -0.0063 353 0.683 0.2005
14 0.2834 0.3411 0.1126 0.5158 281 0.748 0.1488
15 0.4136 0.4089 0.5513 313 0.744 0.1517
Longevity vs Environment
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
Freshwater Brackish Marine
Environment
Lo
ng
ev
ity
(lo
g;
ye
ar)
Longevity vs Habitat
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
Deep Demersal Pelagic Reef
Habitat
Lo
ng
ev
ity
(lo
g;
ye
ar)
Longevity vs Trophic Level
-0.5
0
0.5
1
1.5
2
2.5
1.5 2.5 3.5 4.5
Trophic level
Ob
serv
ed lo
nge
vity
(lo
g; y
ears
)
Longevity vs Trophic Level
-0.5
0
0.5
1
1.5
2
2.5
1.5 2.5 3.5 4.5
Trophic level
Ob
serv
ed l
onge
vity
(lo
g; y
ears
)
Longevity
Why Do Fish Grow Forever?
Textbooks:Lagler et al. (1977): "...birds and mammals have to expand part of their caloric
intake for the maintenance of body temperature and in supporting themselves; fish in contrast are poikilotherms and get such support from the surrounding water."
“Fishes living in a fluid medium that supports them mechanically can continue growth throughout their lives...“
Fish are far superior in protein-building than domestic live-stock
Alternative Hypothesis: Assumptions
• Access to food is not different among the considered groups
• Adult size has evolved to best fit the respective niche
• Animals strive to reach adult size as fast as possible
Alternative Hypothesis
• Fish growth is limited by the need to extract oxygen from water
• Fish grow as fast as they can, but it takes them ‘forever’ to reach maximum size
• Size at maturity is less then maximum size because they can not afford to wait forever
• Fish need longer than air-breathers to reach size at maturity
Facts
• Relative size at maturity (Lm / Lmax)– Fish 0.44 (n=530, 95% LCL =0.421, UCL=0.451)
– Marine mammals 0.76 (n=9, LCL=0.716, UCL=0.803) – birds? reptiles?
• Relative age at maturity (tm / tmax)
– Fish 0.24 (n=229, LCL=0.224, UCL=0.253) – Marine mammals 0.13 (LCL= 0.0913, UCL = 0.198)
– Birds need 0.05 (LCL=0.0364, UCL=0.0695)
Whale shark vs Fin whale
• The largest fish, the Whale shark (Rhincodon typus) needs about 9 years to reach maturity at about 5.5 m and 750 kg, and about 60 years to reach a maximum length of 14 m and 12 tons.
• The fin whale (Balaenoptera physalus) needs about 7 years to reach maturity at a size of about 20 m and about 36 tons, with a maximum size of about 25 m and 70 tons.
Whale shark vs Fin whale
0
500
1000
1500
2000
2500
0 10 20 30 40 50 60
Age (years)
Len
gth
(cm
)
Fin whale
Whale shark
White shark vs Killer whale
• The Great white shark needs 36 years to reach a maximum size of 7.2 m and 3.4 tons; females take about 12 years to reach maturity at 4.5-5 m and about 0.8 tons weight.
• Killer whales (Orcinus orca) reach maturity in 6-10 years at 5-6 m length and about 1.8 tons weight, with the typical size of about 7 m and 3.8 tons reached a few years later.
Great white shark vs Killer whale
0
100
200
300
400
500
600
700
800
0 5 10 15 20 25 30 35 40
Age (years)
Len
gth
(cm
)Killer whale
Great white shark
Conclusion
• Fish clearly lack behind the growth performance shown by marine mammals and birds.
• Their relative size at first maturity is significantly lower than in birds and mammals, yet they take relatively longer to reach that size.
• Gills suck