Temperature-dependent Allee effects in a stage-structured model for Bythotrephes establishment

Biological Invasions

Volumn 13, Issue 11, 2011, Pages 2477-2497

  Wittmann, Meike J ^a,b   Lewis, Mark A ^a   Young, Joelle D ^c   Yan, Norman D ^d  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF MUNICH   (Germany)

^c ONTARIO MINISTRY OF THE ENVIRONMENT   (Canada)

^d YORK UNIVERSITY   (Canada)

Author keywords

Allee effect; Bythotrephes; Climate change; Invasive species; Life cycle; Propagule pressure

Indexed keywords

ALLEE EFFECT; CLIMATE CHANGE; CRUSTACEAN; INVASIVE SPECIES; LIFE CYCLE; PARTHENOGENESIS; POPULATION DENSITY; PROPAGULE; WATER TEMPERATURE;

CANADA; HARP LAKE; ONTARIO [CANADA];

BYTHOTREPHES; BYTHOTREPHES LONGIMANUS;

EID: 80053561807     PISSN: 13873547     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10530-011-0074-z     Document Type: Article

References (66)

1. Andrew TE, Herzig A (1984) The respiration rate of the resting eggs of Leptodora kindti (Focke 1844) and Bythotrephes longimanus Leydig 1860 (Crustacea, Cladocera) at environmentally encountered temperatures. Oecologia 64: 241-244.
2. Berg DJ, Garton DW, MacIsaac HJ, Panov VE, Telesh I (2002) Changes in genetic structure of North American Bythotrephes populations following invasion from Lake Ladoga, Russia. Freshw Biol 47: 275-282.
3. Boukal D, Berec L (2002) Single-species models of the Allee effect: extinction boundaries, sex ratios and mate encounters. J Theor Biol 218: 375-394. doi: 10. 1006/yjtbi. 3084.
4. Branstrator DK (2005) Contrasting life histories of the predatory cladocerans Leptodora kindtii and Bythotrephes longimanus. J Plankton Res 27: 569-585.
5. Branstrator DK, Brown ME, Shannon LJ, Thabes M, Heimgartner K (2006) Range expansion of Bythotrephes longimanus in North America: evaluating habitat characteristics in the spread of an exotic zooplankter. Biol Invasion 8: 1367-1379.
6. Brown ME, Branstrator DK (2005) Seasonal dynamics in Bythotrephes diapausing egg emergence and production, and the role of dormancy in range expansion. Int Ver The 29: 174-178.
7. Burkhardt S (1994) Seasonal size variation in the predatory cladoceran Bythotrephes cederstroemii in Lake Michigan. Freshw Biol 31: 97-108.
8. Colautti RI, Grigorovich IA, MacIsaac HJ (2006) Propagule pressure: a null model for biological invasions. Biol Invasions 8: 1023-1037. doi: 10. 1007/s10530-005-3735-y.
9. Dennis B (2002) Allee effects in stochastic populations. Oikos 96: 389-401.
10. Dormand JR, Prince PJ (1980) A family of embedded Runge-Kutta formulae. J Comput Appl Math 6: 19-26.
11. Drake J (2004) Allee effects and the risk of biological invasion. Risk Anal 24: 795-802.
12. Drake JM, Drury KLS, Lodge DM, Blukacz A, Yan ND, Dwyer G (2006) Demographic stochasticity, environmental variability, and windows of invasion risk for Bythotrephes longimanus in North America. Biol Invasions 8: 843-861.
13. Drury KLS, Drake JM, Lodge DM, Dwyer G (2007) Immigration events dispersed in space and time: factors affecting invasion success. Ecol Model 206: 63-78. doi: 10. 1016/j. ecolmodel. 2007. 03. 017.
14. Dumitru C, Sprules WG, Yan ND (2001) Impact of Bythotrephes longimanus on zooplankton assemblages of Harp Lake, Canada: an assessment based on predator consumption and prey production. Freshw Biol 46: 241-251.
15. Eads BD, Andrews J, Colbourne JK (2008) Ecological genomics in Daphnia: stress responses and environmental sex determination. Heredity 100: 184-190. doi: 10. 1038/sj. hdy. 6800999.
16. Egloff DA, Fofonoff PW, Onbe T (1997) Reproductive biology of marine cladocerans. Adv Mar Biol 31: 79-167.
17. Gal G, Imberger J, Zohary T, Antenucci J, Anis A, Rosenberg T (2003) Simulating the thermal dynamics of Lake Kinneret. Ecol Model 162: 69-86.
18. Gascoigne J, Berec L, Gregory S, Courchamp F (2009) Dangerously few liaisons: a review of mate-finding Allee effects. Popul Ecol 51: 355-372. doi: 10. 1007/s10144-009-0146-4.
19. Gerritsen J (1980) Sex and parthenogenesis in sparse populations. Am Nat 115: 718-742.
20. Hall RI, Yan ND (1997) Comparing annual population growth estimates of the exotic invader Bythotrephes by using sediment and plankton records. Limnol Oceanogr 42: 112-120.
21. Hobæk A, Larsson P (1990) Sex determination in Daphnia magna. Ecology 71: 2255-2268.
22. Hostetler SW, Small EE (1999) Response of North American freshwater lakes to simulated future climates. J Am Water Resour As 35: 1625-1637.
23. Jerde CL, Bampfylde CJ, Lewis MA (2009) Chance establishment for sexual, semelparous species: Overcoming the Allee effect. Am Nat 173: 734-746. doi: 10. 1086/598496.
24. Jeschke JM, Strayer DL (2006) Determinants of vertebrate invasion success in Europe and North America. Glob Change Biol 12: 1608-1619.
25. Johannsson OE, Mills EL, O'Gorman R (1991) Changes in the nearshore and offshore zooplankton communities in Lake Ontario. Can J Fish Aquat Sci 48: 1546-1557.
26. Kanarek AR, Webb CT (2010) Allee effects, adaptive evolution, and invasion success. Evol Appl 3: 122-135. doi: 10. 1111/j. 1752-4571. 2009. 00112. x.
27. Kramer AM, Sarnelle O, Knapp RA (2008) Allee effect limits colonization success of sexually reproducing zooplankton. Ecology 89: 2760-2769.
28. Kramer AM, Dennis B, Liebhold AM, Drake JM (2009) The evidence for Allee effects. Popul Ecol 51: 341-354. doi: 10. 1007/s10144-009-0152-6.
29. Lehman JT (1991) Causes and consequences of cladoceran dynamics in Lake Michigan-implications of species invasion by Bythotrephes. J Great Lakes Res 17: 437-445.
30. Lehman JT, Branstrator DK (1995) A model for growth, development, and diet selection by the invertebrate predator Bythotrephes cederstroemi. J Great Lakes Res 21: 610-619.
31. Lehman JT, Caceres CE (1993) Food-web responses to species invasion by a predatory invertebrate-Bythotrephes in Lake Michigan. Limnol Oceanogr 38: 879-891.
32. Lehman JT, Bilkovic DM, Sullivan C (1997) Predicting development, metabolism and secondary production for the invertebrate predator Bythotrephes. Freshwater Biol 38: 343-352.
33. Lewis MA, Kareiva P (1993) Allee dynamics and the spread of invading organisms. Theor Popul Biol 43: 141-158.
34. Lockwood J, Cassey P, Blackburn T (2005) The role of propagule pressure in explaining species invasions. Trends Ecol Evol 20: 223-228. doi: 10. 1016/j. tree. 2005. 02. 004.
35. MacIsaac H, Borbely J, Muirhead J, Graniero P (2004) Backcasting and forecasting biological invasions of inland lakes. Ecol Appl 14: 773-783.
36. Mailleret L, Lemesle V (2009) A note on semi-discrete modelling in the life sciences. Philos T R Soc A 367: 4779-4799. doi: 10. 1098/rsta. 2009. 0153.
37. Manca MM, Portogallo M, Brown ME (2007) Shifts in phenology of Bythotrephes longimanus and its modern success in Lake Maggiore as a result of changes in climate and trophy. J Plankton Res 29: 515-525.
38. McCarthy MA (1997) The Allee effect, finding mates and theoretical models. Ecol Model 103: 99-102.
39. McLellan BN, Serrouya R, Wittmer HU, Boutin S (2010) Predator-mediated Allee effects in multi-prey systems. Ecology 91: 286-292.
40. Molnar PK, Derocher AE, Lewis MA, Taylor MK (2008) Modelling the mating system of polar bears: a mechanistic approach to the Allee effect. P Roy Soc B-Biol Sci 275: 217-226. doi: 10. 1098/rspb. 2007. 1307.
41. Otto SP, Day T (2007) A biologist's guide to mathematical modeling in ecology and evolution, 1st edn. Princeton University Press, Princeton, New Jersey.
42. Pothoven SA, Fahnenstiel GL, Vanderploeg HA (2001) Population dynamics of Bythotrephes cederstroemii in south-east Lake Michigan 1995-1998. Freshw Biol 46: 1491-1501.
43. R Development Core Team (2009) R: A language and environment for statistical computing. http://www. R-project. org.
44. Schulz K, Yurista P (1998) Implications of an invertebrate predator's (Bythotrephes cederstroemi) atypical effects on a pelagic zooplankton community. Hydrobiologia 380: 179-193.
45. Schulz KL, Yurista PM (1995) Diet composition from allozyme analysis in the predatory cladoceran Bythotrephes cederstroemi. Limnol Oceanogr 40: 821-826.
46. Shampine LF, Kierzenka J, Reichelt MW (2000) Solving boundary value problems for ordinary differential equations in MATLAB with bvp4c. http://www. mathworks. com/bvp_tutorial. Accessed 9 Aug 2011.
47. Sprules WG, Riessen HP, Jin EH (1990) Dynamics of the Bythotrephes invasion of the St. Lawrence Great Lakes. J Great Lakes Res 16: 346-351.
48. Stephens PA, Sutherland WJ, Freckleton RP (1999) What is the Allee effect. Oikos 87: 185-190.
49. Straile D, Hälbich A (2000) Life history and multiple antipredator defenses of an invertebrate pelagic predator, Bythotrephes longimanus. Ecology 81: 150-163.
50. Taylor CM, Hastings A (2005) Allee effects in biological invasions. Ecol Lett 8: 895-908.
51. Therriault TW, Grigorovich IA, Cristescu ME, Ketelaars HA, Viljanen M, Heath DD, MacIsaac HJ (2002) Taxonomic resolution of the genus Bythotrephes Leydig using molecular markers and re-evaluation of its global distribution. Divers Distrib 8: 67-84.
52. Veit R, Lewis M (1996) Dispersal, population growth, and the Allee effect: Dynamics of the house finch invasion of eastern North America. Am Nat 148: 255-274.
53. Weisz EJ, Yan ND (2010) Relative value of limnological, geographic, and human use variables as predictors of the presence of Bythotrephes longimanus in Canadian Shield lakes. Can J Fish Aquat Sci 67: 462-472. doi: 10. 1139/F09-197.
54. Williamson M, Fitter A (1996) The characters of successful invaders. Biol Conserv 78: 163-170.
55. Yan ND, Pawson TW (1997) Changes in the crustacean zooplankton community of Harp Lake, Canada, following invasion by Bythotrephes cederstroemi. Freshw Biol 37: 409-425.
56. Yan ND, Blukacz A, Sprules WG, Kindy PK, Hackett D, Girard RE, Clark BJ (2001) Changes in zooplankton and the phenology of the spiny water flea, Bythotrephes, following its invasion of Harp Lake, Ontario, Canada. Can J Fish Aquat Sci 58: 2341-2350.
57. Yan ND, Girard R, Boudreau S (2002) An introduced invertebrate predator (Bythotrephes) reduces zooplankton species richness. Ecol Lett 5: 481-485.
58. Yee TW (2008) The VGAM package. R News 8(2): 28-39. http://CRAN. R-project. org/doc/Rnews/.
59. Young JD (2008) Ecological regulators of the life history, morphology, behaviour and abundance of the invasive zooplanktivore Bythotrephes longimanus in South-Central Ontario Lakes. Dissertation, York University, Toronto.
60. Young JD, Yan ND (2008) Modification of the diel vertical migration of Bythotrephes longimanus by the cold-water planktivore, Coregonus artedi. Freshw Biol 53: 981-995. doi: 10. 1111/j. 1365-2427. 2008. 01954. x.
61. Young JD, Loew ER, Yan ND (2009) Examination of direct daytime predation by Coregonus artedi on Bythotrephes longimanus in Harp Lake, Ontario, Canada: no evidence for the refuge hypothesis. Can J Fish Aquat Sci 66(3): 449-459. doi: 10. 1139/F09-006.
62. Young JP (1978) Sexual swarms in Daphnia magna, a cyclic parthenogen. Freshw Biol 8: 279-281.
63. Yurista PM (1992) Embryonic and postembryonic development in Bythotrephes cederstroemii. Can J Fish Aquat Sci 49: 1118-1125.
64. Yurista PM (1997) Bythotrephes cederstroemi diapausing egg distribution and abundance in Lake Michigan and the environmental cues for breaking diapause. J Great Lakes Res 23: 202-209.
65. Zhou S, Wang G (2004) Allee-like effects in metapopulation dynamics. Math Biosci 189: 103-113. doi: 10. 1016/j. mbs. 2003. 06. 001.
66. Zuur AF, Ieno EN, Walker NJ, Saveliev AA, Smith GM (2009) Mixed effects models and extensions in ecology with R. Springer, New York.