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Biological Invasions

, Volume 14, Issue 3, pp 633–647 | Cite as

Identifying non-invasible habitats for marine copepods using temperature-dependent R 0

  • Harshana Rajakaruna
  • Carly Strasser
  • Mark Lewis
Original Paper

Abstract

If a non-indigenous species is to thrive and become invasive it must first persist under its new set of environmental conditions. Net reproductive rate (R 0) represents the average number of female offspring produced by a female over its lifetime, and has been used as a metric of population persistence. We modeled R 0 as a function of ambient water temperature (T) for the invasive marine calanoid copepod Pseudodiaptomus marinus, which is introduced to west coast of North America from East Asia by ship ballast water. The model was based on temperature-dependent stage-structured population dynamics given by a system of ordinary differential equations. We proposed a methodology to identify habitats that are non-invasible for P. marinus using the threshold of R 0(T) < 1 in order to identify potentially invasible habitats. We parameterized the model using published data on P. marinus and applied R 0(T) to identify the range of non-invasible habitats in a global scale based on sea surface temperature data. The model predictions matched the field evidence of species occurrences well.

Keywords

Net reproductive rate Invasive species Marine copepods Pseudodiaptomus marinus Temperature Stage-structured population models Ordinary differential equations Ecological modeling Habitat invasibility Habitat suitability 

Notes

Acknowledgments

Financial support for HR and CS came from the NSERC-funded Canadian Aquatic Species Network (CAISN). HR also acknowledges the Department of Biological Sciences, University of Alberta for providing financial support. MAL gratefully acknowledges an NSERC Discovery Grant and a Canada Research Chair. The authors thank Alex Potapov at the Centre for Mathematical Biology, University of Alberta, and Claudio DiBacco at the Bedford Institute of Oceanography, Halifax, for valuable suggestions.

References

  1. Ackleha AS, de Leenheerb P (2008) Discrete three-stage population model: persistence and global stability results. J Biol Dyn 2(4):415–427CrossRefGoogle Scholar
  2. Anraku M (1953) Seasonal distribution of pelagic copepods at Oshoro Bay, west coast of Hokkaido. Bull Fac Fish Hokkaido Univ 3:172–192Google Scholar
  3. Bacaeer N (2009) Periodic matrix population models: growth rate, basic reproductive number, and entrophy. Bull Math Biol 71:1781–1792CrossRefGoogle Scholar
  4. Bacaeer N, Ouifki R (2007) Growth rate and basic reproduction number for population models with a simple periodic factor. Math Biosci 210:647–658CrossRefGoogle Scholar
  5. Boldin B (2006) Introducing a population into a steady community: the critical case, the centre manifold and the direction of bifurcation. SIAM J Appl Math 66(A):1424–1453CrossRefGoogle Scholar
  6. Bolens SM, Cordell JR, Avent S, Hooff R (2002) Zooplankton invasions: a brief review, plus two case studies from the northeast Pacific Ocean. Hydrobiologia 480(1–3):87–110CrossRefGoogle Scholar
  7. Bonnet D, Harris RP, Yebra L, Guilhaumon F, Conway DVP, Hirst AG (2009) Temperature effects on Calanus helgolandicus (copepoda: calanoida) development time and egg production. J Plankton Res 31(1):31–44CrossRefGoogle Scholar
  8. Breteler WCMK, Schogt N, van der Meer J (1994) The duration of copepod life stages estimated from stage-frequency data. J Plankton Res 16(8):1039–1057CrossRefGoogle Scholar
  9. Brodsky KA (1948) Free-living copepoda from the Sea of Japan. Rep Pacif Ocean Inst Fish Oceanogr Vladivostok 26:3-130. (in Russian)Google Scholar
  10. Brodsky KA (1950) Calanoida of the far eastern seas and polar basin of the USSR. Keys to the fauna of the USSR. [English transl] Zoological Institute of the Academy of Sciences of the USSR, Moscow (Ref. No. 35) [Israel Program for Scientific Translations, Jerusalem 1967: IPST Catalogue No. 1884]Google Scholar
  11. Broennimann O, Treier UA, Muller-Scharer H, Thuiller W, Peterson AT, Guisan A (2007) Evidence of climatic niche shift during biological invasion. Ecol Lett 10:701–709PubMedCrossRefGoogle Scholar
  12. Cane MA, Clement AC, Kaplan A, Kushnir Y, Pozdnyakov D, Seager R, Zebiak SE, Murtugudde R (1997) Twentieth-century sea surface temperature trends. Science 275(5302):957–960PubMedCrossRefGoogle Scholar
  13. Carlton JT (1985) Trans-oceanic and interoceanic dispersal of coastal marine organisms—the biology of ballast water. Oceanogr Mar Biol 23:313–371Google Scholar
  14. Chen Q, Sheng J, Lin Q, Gao Y, Lv J (2006) Effect of salinity on reproduction and survival of the copepod. Pseudodiaptomus annandalei Sewell, 1919. Aquaculture 258:575–582CrossRefGoogle Scholar
  15. Chiba T (1956) Studies on the development and systematics of copepoda. J Shimonoseki Coll Fish 6:1–90 (in Japanese)Google Scholar
  16. Cohen AN (2004) An exotic species detection program for Puget Sound. In United states Geological Surveys, p 52. http://nas.er.usgs.gov/queries/SpecimenViewer.aspx?SpecimenID=161281
  17. Cordell JR, Bollens SM, Draheim R, Sytsma M (2008) Asian copepods on the move: recent invasions in the Columbia-Snake River system. ICES J Mar Sci 65(5):753–758CrossRefGoogle Scholar
  18. Courchamp F, Berec L, Gascoigne J (2008) Allee effects in ecology and conservation. Oxford University Press, Oxford, p 220CrossRefGoogle Scholar
  19. Cox DR (1967) Renewal theory. Science Paperbacks and Methuen & Co. Ltd., London, p 142Google Scholar
  20. de-Camino-Beck T, Lewis MA (2007) A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species. Bull Math Biol 69:1341–1354PubMedCrossRefGoogle Scholar
  21. de-Camino-Beck T, Lewis M (2008) On net reproductive rate and the timing of reproductive output. Am Nat 172(1):128–139PubMedCrossRefGoogle Scholar
  22. Elith J, Leathwick JR (2009) Species distribution models: ecological explanation and prediction across space and time. Annu Rev Ecol Evol Syst 40:677–697CrossRefGoogle Scholar
  23. Fleminger A, Kramer SH (1989) Recent introduction of an Asian estuarine copepod, Pseudodiaptomus marinus (Copepods: Calanoida), into southern California River Estuary. J Crustac Biol 12:260–541Google Scholar
  24. Greenwood JG (1977) Calanoid copepods of Moreton Bay (Queensland) II. Families Calocalanidae to Centropagidae. Proc R Soc Qd 88:49–67Google Scholar
  25. Grindley JR, Grice GD (1969) A redescription of Pseudodiaptomus marinus Sato (Copepoda, Calanoida) and its occurrence at the island of Mauritius. Crustaceana 16:125–134Google Scholar
  26. Herborg L, Jerde CL, Lodge DM, Ruiz GM, MacIsaac HJ (2007a) Predicting invasion risk using measures of introduction effort and environmental niche models. Ecol Appl 17(3):663–674PubMedCrossRefGoogle Scholar
  27. Herborg L, Mandrak N, Cudmore B, MacIsaac H (2007b) Comparative distribution and invasion risk of snakehead (Channidae) and Asian carp (Cyprinidae) species in North America. Can J Fish Aquat Sci 64:1723–1735CrossRefGoogle Scholar
  28. Hirakawa K (1986) New record of the planktonic copepod Centropages abdominalis (copepoda, calanoida) from Patagonian waters, southern Chile. Crustaceana 51(3):296–299CrossRefGoogle Scholar
  29. Hurford A, Cownden D, Day T (2010) Next-generation tools for evolutionary invasion analyses. J Royal Soc Interface 7(45):561–571Google Scholar
  30. Jeschke JM, Strayer DL (2008) Usefulness of bioclimatic models for studying climate change and invasive species. Ann NY Acad Sci 1134:1–24PubMedCrossRefGoogle Scholar
  31. Jiménez-Pérez JL, Castro-Longoria E (2006) Range extension and establishment of a breeding population of the asiatic copepod, Pseudodiaptomus marinus Sato, 1913 (calanoida, Pseudodiaptomidae) in Todos Santos bay, Baja California, Mexico. Crustaceana 79(2):227–234CrossRefGoogle Scholar
  32. Jones EC (1966) A new record of Pseudodiaptomus marinus Sato (Copepoda, Calanoida) from brackish waters of Hawaii. Crustaceana 10:316–317Google Scholar
  33. Kramer AM, Sarnelle O, Knapp RA (2008) Allee effect limits colonization success of sexually reproducing zooplankton. Ecology 89(10):2760–2769PubMedCrossRefGoogle Scholar
  34. Lee HW, Ban S, Ikeda T, Matsuishi T (2003) Effect of temperature on development, growth and reproduction in the marine copepod Pseudocalanus newmani at satiating food condition. J Plankton Res 25(3):261–271CrossRefGoogle Scholar
  35. Liang D, Uye S (1997a) Population dynamics and production of the planktonic copepods in a eutrophic inlet of the island Sea of Japan. IV. Pseudodiaptomus marinus, the egg-carrying calanoid. Mar Biol 128(3):415–421CrossRefGoogle Scholar
  36. Liang D, Uye S (1997b) Seasonal reproductive biology of the egg-carrying calanoid copepod Pseudodiaptomus marinus in a eutrophic inlet of the island of Japan. Mar Biol 128(3):409–414CrossRefGoogle Scholar
  37. Lockwood J, Hoopes M, Marchetti M (2006) Invasion ecology. Wiley Blackwell, Oxford, p 312Google Scholar
  38. Lonhart SI (2009) Natural and climate change mediated invasions. In: Crooks JA, Rilov G (eds) Biological invasions in marine ecosystems: ecological, management, and geographic perspective. Springer, Berlin, pp 57–76CrossRefGoogle Scholar
  39. MacDonald N (1978) Time lags in biological models. Springer, Berlin, p 112CrossRefGoogle Scholar
  40. Mercado-Silva N, Olden JD, Maxted JT, Hrabik TR, Vander Zanden MJ (2006) Forecasting the spread of invasive rainbow smelt in the Laurentian Great Lakes region of North America. Conserv Biol 20(6):1740–1749PubMedCrossRefGoogle Scholar
  41. NOAA Optimum Interpolation (OI) SST V2. http://www.esrl.noaa.gov/psd/data/gridded/data.noaa.oisst.v2.html
  42. Peterson AT (2003) Predicting the geography of species’ invasions via ecological niche modeling. Q Rev Biol 78(4):419–433PubMedCrossRefGoogle Scholar
  43. Peterson AT, Williams R, Chen G (2007) Modeled global invasive potential of Asian gypsy moths, Lymantria dispar. Entomol Exp Appl 125(1):39–44CrossRefGoogle Scholar
  44. Piercey GE, Levings CD, Elfert M, Galbraith M, Waters R (2000) Invertebrate fauna in ballast water collected in vessels arriving in BC ports, especially those from Western North, Pacific. Can Data Rep Fish Aquat Sci 1060:50Google Scholar
  45. Pillai PP (1980) A review of the calanoid copepod family Pseudodiaptomidae with remarks on the taxonomy and distribution of species from the Indian Ocean. J Mar Biol Ass India 18:242–265Google Scholar
  46. Qing-Chao C, Shu-Zhen Z (1965) The planktonic copepods of the Yellow sea and the east China sea. 1. Calanoida Studia Mar Sin 7: 20–131 (Pejing Science Publishers)Google Scholar
  47. Razouls C, de Bovée F, Kouwenberg J, et Desreumaux N (2011) Diversity and geographic distribution of Marine Planktonic Copepods. http://copepodes.obs-banyuls.fr/en
  48. Ruiz GM, Fofonoff P, Carlton JT, Wonham MJ, Hines AH (2000) Invasion of coastal marine communities in North America: apparent patterns, processes, and biases. Annu Rev Ecol Evol Syst 31:481–531CrossRefGoogle Scholar
  49. Sato T (1913) Pelagic copepods (No. 1). Scient Rep Hokkaido Fish Expl Stn 1:1–79 (in Japanese)Google Scholar
  50. Shen C, Lee F (1963) The estuaries of Chiekong and Zaikong Rivers. Acta Zool Sin 15:573–596Google Scholar
  51. Stockwell DRB, Peters DP (1999) The GARP modelling system: problems and solutions to automated spatial prediction. Int J Geogr Inf Sci 13:143–158CrossRefGoogle Scholar
  52. Strasser CA, Lewis MA, DiBacco C (2011) A mechanistic model for understanding invasions using the environment as a predictor of population success. Divers Distrib 1–15Google Scholar
  53. Tanaka O (1966) Neritic copepoda, calanoida from the northwest coast of Kyushu. Proc Symp Crustacea 1965, Ernakulum, Cochin (Ser. 2) Mar Biol Ass India 38–50Google Scholar
  54. Tanaka O, Hue JS (1966) Preliminary report on the copepoda found in the tidal pool along the north-west coast of Kyushu. Proc Symp Crnstacea 1965, Ernakulum, Cochin (Set. 2) Mar Biol Ass India 57–73Google Scholar
  55. Taylor CM, Hasting A (2005) Allee effect in biological invasions. Ecol Lett 8:895–908CrossRefGoogle Scholar
  56. Uye S, Iwai Y, Kasahara S (1983) Growth and production of the inshore marine copepod Pseudodiaptomus marinus in the central pert of the inland Sea of Japan. Mar Biol 73:91–98CrossRefGoogle Scholar
  57. van den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180:29–48PubMedCrossRefGoogle Scholar
  58. Venables WN, Repley BD (2002) Modern applied statistics with S, 4th edn. Springer, Berlin, p 495Google Scholar
  59. Wallinga J, Lipsitch M (2007) How generation intervals shape the relationship between growth rates and reproductive numbers. Proc Royal Soc Biol Sci 274(1609):599–604CrossRefGoogle Scholar
  60. Walter TC (1986) The zoogeography of the genus Pseudodiaptomus (Calanoida: Pseudodiaptomidae). Syllogeus 58:(Nat Mus Can) 502–508Google Scholar
  61. Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech Trans ASME 18(3):293–297Google Scholar
  62. Wesley CL, Allen LJS (2009) The basic reproductive number in epidemic models with periodic demographics. J Biol Dyn 3(2–3):116–129CrossRefGoogle Scholar
  63. Wittmann MJ, Lewis MA, Young JD, Yan ND (2011) Temperature-dependent Allee effects in a stage-structured model for Bythotrephes establishment. Biol Invasions. doi: 10.1007/s10530-011-0074-z

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Harshana Rajakaruna
    • 1
  • Carly Strasser
    • 2
    • 3
  • Mark Lewis
    • 1
    • 2
  1. 1.Centre for Mathematical Biology, Department of Biological SciencesUniversity of AlbertaEdmontonCanada
  2. 2.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada
  3. 3.Department of OceanographyDalhousie UniversityHalifaxCanada

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