Abstract
A game model is developed of the daily schedule of matesearching activity by male butterflies, assuming that each male maximizes his expected mating success given a limited total time for mate search. The model predicts that (1) in the early morning, no male is active even though many females are emerging; (2) at a critical time, many males suddenly become active; and (3) the male's maximum activity occurs after the peak female emergence and before the peak capture efficiency. The inverse problem is also analyzed, in which the temporal pattern of capture efficiency is estimated from the knowledge of male activity and female emergence, assuming the evolutionarily stable strategy (ESS) condition. The model is then applied to data from a cabbage white butterfly (Pieris rapae crucivora) population and predicts that (1) females remain unmated for several hours on average after emergence, and (2) the male 's capture efficiency is rather low and increases significantly with time during the morning.
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References
Davie, N. B., and Halliday, T. R. (1979). Competitive mate searching in common toads,Bufo bufo.Anim. Behav. 27: 1253–1267.
Ehrlich, P. R., and Ehrlich, A. H. (1978). Reproductive strategies in the butterflies. I. Mating frequency, plugging and egg number.J. Kans. Entomol. Soc. 51: 666–697.
Emlen, S. T., and Oring, L. W. (1977). Ecology, sexual selection, and the evolution of mating systems.Science 197: 215–223.
Fretwell, S. D. (1972).Populations in a Seasonal Environment, Princeton University Press, Princeton, N.J.
Iwasa, Y., and Odendaal, F. J. (1984). A theory on the temporal pattern of operational sex ratio during the breeding season; The active-inactive model.Ecology 65: 886–893.
Iwasa, Y., Odendaal, F. J., Murphy, D. D., Ehrlich, P. R., and Launer, A. E. (1983). Emergence patterns of male butterflies: A hypothesis and a test.Theor. Pop. Biol. 23: 363–379.
Kingsolver, J. (1983). Thermoregulation and flight inColias butterflies elevational patterns and mechanistic limitations.Ecology 64: 534–545.
Kingsoiver, J. (1985). Thermal ecologyof Pieris butterflies (Lepidoptera: Pieridae): A new mechanism of behavioral thermoregulation.Oecologia 66: 540–545.
Kobayashi, S. (1966). Process generating the distribution pattern of eggs in the common cabbage butterfly,Pieris rapae crucivora.Res. Pop. Ecol. 8: 51–61.
Maynard Smith, J. (1978). Optimization theory in evolution.Annu. Rev. Ecol. Syst. 9: 31–56.
Maynard Smith, J. (1982).Evolution and the Theory of Games, Cambridge University Press, Cambridge.
Obara, Y. (1964). The mating behavior of the cabbage white,Pieris rapae crucivora. II. The“mate-refusal posture” of the female.Zool. Mag. 73: 175–178 (in Japanese with English
Obara, Y. (1970). Studies on mating behaviour of white cabbage butterfly(Pieris rapae crucivora Boisduval). III. Near-ultra-violet reflection as the signal of intraspecific communication.Z. vergl. Physiol. 69: 99–116.
Obara, Y. (1975). Mating behaviour of the cabbage white,Pieris rapae crucivora. VI. Electrophysiological decision of muscle functions in wing and abdomen movements and muscle output patterns during flight.J. Comp. Physiol. 102: 189–200.
Obara, Y. (1982). Mate-refusal hormone in the cabbage white butterfly?Naturwissenschaften 69: 551–552.
Obara, Y. (1984). Key stimuli eliciting the mate refusal posture in the mated female of the cabbage white butterfly,Pieris rapae crucivora.Proc. Jap. Acad. 60: 145–148.
Obara, Y. (1987). Avoidance of maladaptive, precocious copulation in the cabbage white butterfly,Pieris rapae crucivora. J. Insect Physiol.33: 403–406.
Obara, Y., and Hidaka, T. (1964). Mating behavior of the cabbage white,Pieris rapae crucivora. I. The “Flutter response” of resting male to flying mates.Zool. Mag. 73: 131–135 (in Japanese with English summary).
Obara, Y., and Hidaka, T. (1968). Recognition of the female by the male, on the basis of ultraviolet reflection, in the white cabbage butterfly,Pieris rapae crudvora Boisduval.Proc. Jap. Acad. 44: 829–832.
Obara, Y., and Nakagoshi, M. (1974). Studies on the mating behavior of the cabbage white butterfly,Pieris rapae crudvora Boisduval. IV. Anatomical identification of the muscles responsible for the mate-refusal posture.Zool. Mag. 83: 231–242.
Obara, Y. Tateda, H., and Kuwabara, M. (1975). Mating behavior of the cabbage white butterfly,Pieris rapae crudvora Boisduval. V. Copulatory stimuli indicating changes of female response patterns.Zool. Mag. 84: 71–76.
Ohsaki, N. (1979). Comparative population studies of threePieris butterflies,P. rapae, P. melete, andP. napi, living in the same area. I. Ecological requirements for habitat resources in the adults.Res. Pop. Ecol. 20: 278–296.
Ohsaki, N. (1980). Comparative population studies of threePieris butterflies,P. rapae, P. melete andP. napi, living in the same area. II. Utilization of patchy habitats by adults through migratory and non-migratory movements.Res. Pop. Ecol. 22: 163–183.
Ohsaki, N. (1982). Comparative population studies of threePieris butterflies,P. rapae, P. melete andP. napi, living in the same area. III. Difference in the annual generation numbers in relation to habitat selection by adults.Res. Pop. Ecol. 24: 193–210.
Ohsaki, N. (1986). Body temperature and behavioural thermoregulation strategies of threePieris butterflies in relation to solar radiation.J. Ethol. 4: 1–9.
Ohtani, T., and Yamamoto, M. (1986). The adult behavior of the Japanese cabbage white (Lepidoptera, Pieridae) in the field. II. Ecological aspects of major behavior patterns.Tyô to Ga. 36: 43–76.
Parker, G. S., and Courtney, S. P. (1983). Seasonal incidence: adaptive variation in the timing of life history stages.J. Theor. Biol. 105: 147–155.
Parker, G. A., and Stuart, R. A. (1976). Animal behavior as a strategy optimizer: Evolution of resource assessment strategies and optimal emmigration thresholds.Am. Nat. 110: 1055–1076.
Sugawara, T. (1979). Stretch reception in the bursa copulatrix of the butterfly,Pieris rapae crudvora Boisduval, and its role in behaviour.J. Comp. Physiol. 130: 191–199.
Suzuki, Y. (1978). Adult longevity and reproductive potential of the small cabbage white,Pieris rapae crudvora Boisduval (Lepidoptera: Pieridae).Appl. Entomol. Zool. 13: 312–313.
Suzuki, Y. (1979). Mating frequency in females of the small cabbage white,Pieris rapae crudvora Boisduval (Lepidoptera: Pieridae).Kontyû 47: 335–339.
Suzuki, Y. (1980). The forming process of male-biased sex ratio at an emergence site inPieris rapae crudvora Boisduval (Lepidoptera, Pieridae).Kontyû 48: 299–306 (in Japanese with English summary).
Yamamoto, M. (1981). Adult duration of the Japanese cabbage white,Pieris rapae crudvora (Lepidoptera: Pieridae).Appl. Entomol. Zool. 16: 310–312.
Yamamoto, M. (1986). Factors controlling oviposition activities of two pierid butterflies,Pieris rapae crudvora andP. napi nesis, living sympatrically at open habitats.Rep. Ryutsu Keizai Univ. 21: 46–54.
Wiklund, C., and Fagerstrom, T. (1977). Why do males emerge before females? A hypothesis to explain the incidence of protandry in butterflies.Oecologia 31: 153–158.
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Iwasa, Y., Obara, Y. A game model for the daily activity schedule of the male butterfly. J Insect Behav 2, 589–608 (1989). https://doi.org/10.1007/BF01065781
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DOI: https://doi.org/10.1007/BF01065781