Brooks et al. : Stock assessment of protogynous fish 
23 
overfished stocks. Can. J. Fish. Aquat. Sci. 62:544- 
562. 
Coleman, F. C., C. C. Koenig, and L. A. Collins. 
1996. Reproductive styles of shallow-water groupers 
(Pisces: Serranidae) in the eastern Gulf of Mexico and 
the consequences of fishing spawning aggregations. En- 
viron. Biol. Fish. 47:129-141. 
Collins, M. R., C. W. Waltz, W. A. Roumillat, and D. L. Stubbs. 
1987. Contribution to the life history and reproductive 
biology of gag, Mycteroperca microlepis (Serranidae) in 
the South Atlantic Bight. Fish. Bull. 85: 648-653. 
FAO (Food and Agriculture Organization) Fishery Resources 
Division. 
1999. Indicators for sustainable development of marine 
capture fisheries. FAO Technical Guidelines for Respon- 
sible Fisheries. No. 8, 68 p. FAO, Rome. 
Gardner, A., D. J. Allsop, E. L. Charnov, and S. A. West. 
2005. A dimensionless invariant for relative size at sex 
change in animals: explanation and implications. Am. 
Nat. 165:551-566. 
Goodyear, C. P. 
1980. Compensation in fish populations. In Biological 
monitoring of fish (C. H. Hocum, and J. R. Stauffer Jr, 
eds.), p. 253-280. Lexington Books, D. C. Heath and 
Co., Lexington, MA. 
Harris, J. P, and J. C. McGovern. 
1997. Changes in the life history of red porgy, Pagrus 
pagrus , from the southeastern United States, 1972- 
1994. Fish. Bull. 95:732-747. 
Heppell, S. S., S. A. Heppell, F. C. Coleman, and C. C. Koenig. 
2006. Models to compare management options for pro- 
togynous fish. Ecol. Appl. 16:238-249. 
Huntsman, G. R., and W. E. Schaaf. 
1994. Simulation of the impact of fishing on reproduc- 
tion of a protogynous grouper, the graysby. N. Am. J. 
Fish. Manag. 14:41-52. 
Mace, P. M., and I. J. Doonan. 
1988. A generalized bioeconomic simulation model for 
fish population dynamics. New Zealand Fishery Assess- 
ment, Res. Doc. 88/4, 51 p. 
McGovern, J. C., D. M. Wyanski, O. Pashuk, C. S. Manooch III, 
and G. R. Sedberry. 
1998. Changes in the sex ratio and size at maturity of 
gag, Mycteroperca microlepis, from the Atlantic coast of 
the southeastern United States during 1976-1995. Fish. 
Bull. 96:797-807. 
Murawski, S. A., P. J. Rago, and E. A. Trippel. 
2001. Impacts of demographic variation in spawn- 
ing characteristics on reference points for fishery 
management. ICES J. Mar. Sci. 58:1002-1014. 
Petersen, C. W., and R. R. Warner. 
2002. The ecological context of reproductive behavior. 
In Coral reef fishes: dynamics and diversity in a com- 
plex ecosystem (P. F. Sale, ed.), p. 103-118. Academic 
Press, San Diego, CA. 
Petersen, C. W., R. R. Warner, S. Cohen, H. C. Hess, and A. T. 
Sewell. 
1992. Variable pelagic fertilization success: Implications 
for mate choice and spatial patterns of mating. Ecology 
73:391-401. 
Punt, A. E., P. A. Garratt, and A. Govender. 
1993. On an approach for applying per-recruit methods to 
a protogynous hermaphrodite, with an illustration for the 
slinger Chrisoblephus puniceus (Pisces: Sparidae). S. 
Afr. J. Mar. Sci. 13:109-119. 
Rothschild, B. J., and M. J. Fogarty. 
1989. Spawning-stock biomass: A source of error in 
recruitment/stock relationships and management 
advice. J. Cons. Int. Explor. Mer 45:131-135. 
Scaggiante, M., M. B. Rasotto, C. Romualdi, and A. Pilastro. 
2005. Territorial male gobies respond aggressively to 
sneakers but do not adjust their sperm expenditure. 
Behav. Ecol. 16: 1001-1007. 
Shepherd, G. R., and J. S. Idoine. 
1993. Length-based analyses of yield and spawning bio- 
mass per recruit for black sea bass Centropristis striata, a 
protogynous hermaphrodite. Fish. Bull. 91:328-337. 
Vaughan, D. S., M. R. Collins, and D. J. Schmidt. 
1995. Population characteristics of the black sea bass 
Centropristis striata from the Southeastern. U.S. Bull. 
Mar. Sci. 56:250-267. 
Vaughan, D. S., G. R. Huntsman, C. S. Manooch III, F. C. Rohde, 
and G. F. Ulrich. 
1992. Population characteristics of the red porgy Pagrus 
pagrus off the Carolinas. Bull. Mar. Sci. 50:1-20. 
Vaughan, D. S., and M. H. Prager. 
2001. Severe decline in abundance of the red porgy 
( Pagrus pagrus) population off the southeastern LTnited 
States. Fish. Bull. 100:351-375. 
von Bertalanffy, L. 
1938. A quantitative theory of organic growth. Hum. 
Biol. 10:181-213. 
