Theory in Biosciences

, Volume 130, Issue 2, pp 101–106 | Cite as

Catastrophic senescence and semelparity in the Penna aging model

  • Chrysline Margus Piñol
  • Ronald Banzon
Original Paper


The catastrophic senescence of the Pacific salmon is among the initial tests used to validate the Penna aging model. Based on the mutation accumulation theory, the sudden decrease in fitness following reproduction may be solely attributed to the semelparity of the species. In this work, we report other consequences of mutation accumulation. Contrary to earlier findings, such dramatic manifestation of aging depends not only on the choice of breeding strategy but also on the value of the reproduction age, R, and the mutation threshold, T. Senescence is catastrophic when \(T \le R.\) As the organism’s tolerance for harmful genetic mutations increases, the aging process becomes more gradual. We observe senescence that is threshold dependent whenever T > R. That is, the sudden drop in survival rate occurs at age equal to the mutation threshold value.


Population dynamics Aging Mutation accumulation Penna model 


  1. Buffenstein R (2008) Negligible senescence in the longest living rodent, the naked mole-rat: insights from a successfully aging species. J Comp Physiol B 178:439–445PubMedCrossRefGoogle Scholar
  2. Coleman B, Hsieh YH (1979) Theory of the dependence of population levels on environmental history of semelparous species with short reproductive seasons. Proc Natl Acad Sci USA 76:5407–5410PubMedCrossRefGoogle Scholar
  3. Crespi B, Teo R (2002) Comparative phylogenetic analysis of the evolution of semelparity and life history in salmonid fishes. Evolution 56:1008–1020PubMedGoogle Scholar
  4. Dabkowski J, Groth M, Makowiec D (2000) Verhulst factor in the Penna model of biological aging. Acta Phys Polonica B 31:1027–1035Google Scholar
  5. Finch C (1990) Longevity, senescence and the genome. University of Chicago Press, ChicagoGoogle Scholar
  6. Malarz K (2000) Searching for scaling in the Penna bit-string model for biological ageing. Int J Mod Phys C 11:309–315Google Scholar
  7. Meyer-Ortmanns H (2001) Catastrophic senescence of the Pacific salmon without mutation accumulation. Int J Mod Phys C 12:319–323CrossRefGoogle Scholar
  8. Moss de Oliveira S (1998) A small review of the Penna model for biological ageing. Physica A 257:465–469CrossRefGoogle Scholar
  9. Moss de Oliveira S (2004) Evolution, ageing and speciation: Monte carlo simulations of biological systems. Braz J Phys 34:1066–1076CrossRefGoogle Scholar
  10. Niewczas E, Kurdziel A, Cebrat S (2000) Housekeeping genes and death genes in the Penna aging model. Int J Mod Phys C 22:775–783Google Scholar
  11. Partridge L, Barton N (1993) Optimality, mutation and the evolution of aging. Nature 362:305–311PubMedCrossRefGoogle Scholar
  12. Penna TJP (1995) A bit-string model for biological aging. J Stat Phys 78:1629–1633CrossRefGoogle Scholar
  13. Penna TJP, Stauffer D (1995) Efficient Monte Carlo simulation of biological aging. Int J Mod Phys C 6:233–239CrossRefGoogle Scholar
  14. Penna TJP, Moss de Oliveira S, Stauffer D (1995) Mutation accumulation and the catastrophic senescence of the Pacific salmon. Phys Rev E 52:R3309–R3312CrossRefGoogle Scholar
  15. Puhl H, Stauffer D, Roux S (1995) Ageing, wars and predators. Physica A 221:445–452CrossRefGoogle Scholar
  16. Quinn T (2005) The behavior and ecology of Pacific salmon and trout. University of Washington Press, CanadaGoogle Scholar
  17. Ricklefs R (2008) The evolution of senescence from a comparative perspective. Funct Ecol 22:379–392CrossRefGoogle Scholar
  18. Sá Martins JS, Cebrat S (2000) Random deaths in a computational model for age-structured populations. Theory Biosci 119:156–162CrossRefGoogle Scholar
  19. Sá Martins JS, Moss de Oliveira S (1998) Why sex?—Monte Carlo simulations of survival after catastrophes. Int J Mod Phys C 9:421–432CrossRefGoogle Scholar
  20. Smith F, Charnov E (2001) Fitness trade-offs select semelparous reproduction in an extreme environment. Evol Ecol Res 3:595–602Google Scholar
  21. Vaupel J, Missov T, Metcalf C (2008) Optimal semelparity, Accessed 24 Aug 2010

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Structure and Dynamics Group, National Institute of PhysicsUniversity of the PhilippinesQuezon CityPhilippines
  2. 2.Institute of Mathematical Sciences and PhysicsUniversity of the PhilippinesLagunaPhilippines

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