Skip to main content
Log in

Mimetic gain in batesian and Müllerian mimicry

  • Published:
Oecologia Aims and scope Submit manuscript

Summary

Starting from field investigations and experiments on mimetic butterfly populations a model for two mimetic species is developed. The model comprises various features such as the growth rates and carrying capacities of the two species, their unpalatability to predators, the recruitment and the training of the predators and, most important, the similarity of the two mimetic species. The model ranges from pure Batesian to pure Müllerian mimicry over a spectrum of possible cases. The mimetic gain is introduced as the relative increase in equilibrium density in a mimetic situation as compared to a situation where mimicry is not present. The dependence of this quantity on parameters as growth rate, carrying capacity, unpalatability, and similarity is investigated using numerical methods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bates HW (1862) Contributions to the insect fauna of the Amazon Valley, Lepidoptera: Heliconidae. Trans Linn Soc Lond 23:495–566

    Google Scholar 

  • Bobisud LE, Potratz CJ (1976) One-trial versus multitrial learning for a predator encountering a model-mimic system. Amer Nat 110:121–128

    Google Scholar 

  • Bovey P (1941) Contribution a l'étude génétique et biogéographique de Zygaena ephialtes D. Revue Suisse de Zoologie 48:1–90

    Google Scholar 

  • Bowers MD (1980) Unpalatability as a defense strategy of Euphydryas phaeton (Lepidoptera: Nymphalidae). Evolution 34 (3):586–600

    Google Scholar 

  • Brodie Jr ED, Brodie III ED, Differential avoidance of mimetic salamanders by free-ranging birds. Science 208, Nr 4440:181–182 (April 1980)

    Google Scholar 

  • Brower JVZ (1960) Experimental studies of Mimicry, IV. The reactions of starlings to different proportions of models and mimics. American Naturalist 94:271–282

    Google Scholar 

  • Brower LP, Brower JVZ (1964) Birds, butterflies, and plant poisons: A study in ecological chemistry. Zoologica 49:137–159

    Google Scholar 

  • Brower LP, Ryerson WN, Coppinger LL, Glazier SC (1968) Ecological chemistry and palatability spectrum. Science 161:1349–1351

    Google Scholar 

  • Brower LP, Pough FH, Meck HR (1970) Theoretical investigations of automimicry, I. Single trial learning. Proceedings of the National Academy of Sciences of the United States of America, 66:1059–1066

    Google Scholar 

  • Bullini L, Sbordoni V, Ragazzini P (1969), Mimetismo mülleriano in popolazioni italiane di Zygaena ephialtes (L) (Lepidoptera, Zygaenidae). Archivio Zoologico Italiano, 54:181–214

    Google Scholar 

  • Clarke CA, Sheppard PM (1971) Further studies on the genetics of the mimetic butterfly Papilio memnon L. Philosophical Transactions of the royal Society of London 263:35–70

    Google Scholar 

  • Clarke CA, Sheppard PM (1972) The genetics of the mimetic butterfly Papilio polytes L. Philosophical Transactions of the Royal Society of London 263:431–458

    Google Scholar 

  • Dryja A (1959), Badania nad polimorfizmem krasnik zmiennego (Zygaena ephialtes L.). Panstwowe Wydawnictwo Naukowe. Warszawa, p 402

    Google Scholar 

  • Estabrook GF, Jespersen DC (1974), Strategy for a predator encountering a model-mimic system. Amer Nat 108:443–457

    Google Scholar 

  • Fisher RA (1930), The Genetical Theory of Natural Selection, Oxford University Press, Oxford, 2nd revised edition, Dover, New York (1958)

    Google Scholar 

  • Huheey JE (1964) Studies of warning coloration and mimicry IV. A mathematical model of model-mimic frequencies. Ecology 45:185–188

    Google Scholar 

  • Huheey JE (1976) Studies in warning coloration and mimicry. VII. Evolutionary consequences of a Batesian-Müllerian spectrum: a model for Müllerian mimicry, Evolution 30:86–93

    Google Scholar 

  • Lea RG, Turner JRG (1972) Experiments on mimicry: II. The effects of a Batesian mimic on its model. Behavior 38:131–151

    Google Scholar 

  • Matessi C, Cori R (1972) Models of Population Genetics of Batesian Mimicry, Theoret Popul Biol 3:41–68

    Google Scholar 

  • Müller F (1879) Ituna and Thyridia; a remarkable case of mimicry in butterflies. Trans Roy Entom Soc, XX–XXIX

  • Nur U (1970) Evolutionary rates of models and mimics in Batesian mimicry. Amer Nat 104:477–486

    Google Scholar 

  • Pough FM, Brower, LP, Meck HR, Kessel SR (1973) Theoretical investigations of auto-mimicry: multiple trial learning and the palatability spectrum. Proceedings of the National Academy of Sciences of the United States of America 70:2261–2265

    Google Scholar 

  • Reichl ER (1958) Zygaena ephialtes L. I. Formenverteilung und Rassengrenzen im niederöstereichischen Raum. Zeitschrift der Wiener Entomologischen Gesellschaft 43:250–265

    Google Scholar 

  • Reichl ER (1957) Zygaena ephialtes L. II. Versuch einer Deutung der Rassen- und formenverteilung auf populationsgenetischer Basis. Zeitschrift der Wiener Entomologischen Gesellschaft 44:50–64

    Google Scholar 

  • Remington JE, Remington CL (1957) Mimicry, a test of evolutionary theory. Yale Sci. Mag. 32:10–11, 13–14, 16–17, 19, 21

    Google Scholar 

  • Rothschild M (1961) Comments in Sheppard PM. Recent genetical work on polymoprhic mimetic Papilios. Symposia of the Royal Entomological Society of london, pp 20–29

  • Rothschild M (1963) Is the Buff Ermine (Spilosoma lutea (Huf.)) a mimic of the White Ermine (Spil osoma lubricipeda (L.))? Proceedings of the Royal Entomological Society of London, (A) 39:159–164

    Google Scholar 

  • Royama T (1970) Factors governing the hunting behaviour and selection of food by the great tit (Parus maior), J Animal Ecol. 39:619–668

    Google Scholar 

  • Scarpelli G (1978) Thesis, Institute of Zoology, Rome University

  • Sbordoni V, Bullini L, Scarpelli G, Forestiero S, Rampini M (1979) Mimicry in the burnet moth Zygaena ephialtes: population studies and evidence of a Batesian-Müllerian situation, Ecological Entomology 4:83–93

    Google Scholar 

  • Sheppard PM (1959) The evolution of mimicry: a problem in ecology and genetics. Cold Spring Harbour Symposia on Quantitative Biology 24:131–140

    Google Scholar 

  • Waldbauer GP, Sheldon JK (1971) Phenological relationship of some aculeate Hymenoptera, their dipteran mimics, and insectivorous birds. Evolution, 25:371–382

    Google Scholar 

  • Wegner A (1979) Nr. 341 in Bombus, Faunistische Mitteilungen (Hamburg) Band 2 Heft 65:257–260

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hadeler, K.P., de Mottoni, P. & Tesei, A. Mimetic gain in batesian and Müllerian mimicry. Oecologia 53, 84–92 (1982). https://doi.org/10.1007/BF00377140

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00377140

Keywords

Navigation