Spatial synchrony in population dynamics

Annual Review of Ecology, Evolution, and Systematics

Volumn 35, Issue , 2004, Pages 467-490

  Liebhold, Andrew ^a   Koenig, Walter D ^b   Bjørnstad, Ottar N ^c  

^a USDA FOREST SERVICE   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Autocorrelation; Dispersal; Moran effect; Spatial dynamics; Stochastic dynamics

Indexed keywords

INTERSPECIFIC INTERACTION; INTRASPECIFIC INTERACTION; POPULATION DYNAMICS; SPATIAL VARIATION; SYNCHRONY;

EID: 11244329396     PISSN: 00664162     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.ecolsys.34.011802.132516     Document Type: Review

References (157)

1. Adler FR, Nuemberger B. 1994. Persistence in patchy, irregular landscapes. Theor. Popul. Biol. 45:41-75
2. Allen JC, Schaffer W, Rosko D. 1993. Chaos reduces species extinction by amplifying local population noise. Nature 364:229-32
3. Baars MA, Van Dijk TS. 1984. Population dynamics of two carabid beetles at a Dutch heathland. I. Subpopulation fluctuations in relation to weather and dispersal. J. Anim. Ecol. 53:375-88
4. Bacon PJ. 1985. Population Dynamics of Rabies in Wildlife. London: Academic
5. Barbour DA. 1990. Synchronous fluctuations in spatially separated populations of cyclic forest insects. In Population Dynamics of Forest Insects, ed. AD Watt, SR Leather, MD Hunter, NAC Kidd, pp. 339-46. Andover, UK: Intercept
6. Bascompte J, Solé RV. 1998a. Spatiotemporal patterns in nature. Trends Ecol. Evol. 13:173-74
7. Bascompte J, Solé RV, eds. 1998b. Modeling Spatiotemporal Dynamics in Ecology. New York: Springer-Verlag. 216 pp.
8. Bascompte J, Solé RV, Martínez N. 1997. Population cycles and spatial patterns in snowshoe hares: an individual-oriented simulation. J. Theor. Biol. 187:213-22
9. Bellamy PE, Rothery P, Hinsley SA. 2003. Synchrony of woodland bird populations: the effect of landscape structure. Ecography 26:338-48
10. Bjørnstad ON. 2000. Cycles and synchrony: two historical "experiments" and one experience. J. Anim. Ecol. 69:869-73
11. Bjørnstad ON, Bascompte J. 2001. Synchrony and second order spatial correlation in host-parasitoid systems. J. Anim. Ecol. 70:924-33
12. Bjørnstad ON, Bolker B. 2000. Canonical functions for dispersal-induced synchrony. Proc. R. Soc. London Ser. B Biol. Sci. 267:1787-94
13. Bjørnstad ON, Falck W. 2001. Nonparametric spatial covariance functions: estimation and testing. Environ. Ecol. Stat. 8:53-70
14. Bjørnstad ON, Falck W, Stenseth NC. 1995. A geographic gradient in small rodent density fluctuations: a statistical modelling approach. Proc. R. Soc. London Ser. B 262:127-33
15. Bjørnstad ON, Ims RA, Lambin X. 1999a. Spatial population dynamics: analysing patterns and processes of population synchrony. Trends Ecol. Evol. 14:427-31
16. Bjørnstad ON, Peltonen M, Liebhold AM, Baltensweiler W. 2002. Waves of larch budmoth outbreaks in the European Alps. Science 298:1020-23
17. Bjørnstad ON, Stenseth NC, Saitoh T. 1999b. Synchrony and scaling in dynamics of voles and mice in northern Japan. Ecology 80:622-37
18. Bjørnstad ON, Stenseth NC, Saitoh T, Lingjære OC. 1998. Mapping the regional transitions to cyclicity in Clethrionomys rufocanus: spectral densities and functional data analysis. Res. Popul. Ecol. 40:77-84
19. Blasius B, Huppert A, Stone L. 1999. Complex dynamics and phase synchronization in spatially extended ecological systems. Nature 399:354-59
20. Bock CE, Lepthien LW. 1976. Synchronous eruptions of boreal seed-eating birds. Am. Nat. 110:559-71
21. Bolker BM, Grenfell BT. 1996. Impact of vaccination on the spatial correlation and persistence of measles dynamics. Proc. Natl. Acad. Sci. USA 93:12648-53
22. Brown JH, Kodric-Brown A. 1977. Turnover rates in insular biogeography: effects of immigration on extinction. Ecology 58:445-49
23. Bulmer MG. 1975. Phase relations in the ten-year cycle. J. Anim. Ecol. 44:609-21
24. Buonaccorsi JP, Elkinton JS, Evans SR, Liebhold AM. 2001. Measuring and testing for spatial synchrony. Ecology 82:1668-79
25. Burrows MT, Moore JJ, James B. 2002. Spatial synchrony of population changes in rocky shore communities in Shetland. Mar. Ecol. Prog. Ser. 240:39-48
26. Byholm P, Ranta E, Kaitala V, Lindén H, Saurola P, Wikman M. 2002. Resource availability and goshawk offspring sex ratio variation: a large-scale ecological phenomenon. J. Anim. Ecol. 71:994-1001
27. Cattadori M, Hudson PJ, Merler S, Rizzoli A. 1999. Synchrony, scale and temporal dynamics of rock partridge (Alectoris graeca saxatilis) populations in the Dolomites. J. Anim. Ecol. 68:540-49
28. Cazelles B, Boudjema G. 2001. The Moran effect and phase synchronization in complex spatial community dynamics. Am. Nat. 157:670-75
29. Cazelles B, Stone LS. 2003. Detection of imperfect population synchrony in an uncertain world. J. Anim. Ecol. 72:953-68
30. Christiansen E. 1983. Fluctuations in some small rodent populations in Norway 1971-1979. Holarc. Ecol. 6:24-31
31. Curran LM, Webb CO. 2000. Experimental tests of the spatiotemporal scale of seed predation in mast-fruiting Dipterocarpaceae. Ecol. Monogr. 70:129-48
32. de Roos AM, McCauley E, Wilson WG. 1998. Pattern formation and the spatial scale of interaction between predators and their prey. Theor. Popul. Biol. 53:108-30
33. Doak DF, Marino P, Kareiva PM. 1992. Spatial scale mediates the influence of habitat fragmentation on dispersal success: implications for conservation. Theor. Popul. Biol. 41:315-36
34. Dungan JL, Perry JN, Dale MRT, Legendre P, Citron-Pousty S, et al. 2002. A balanced view of scale in spatial statistical analysis. Ecography 25:626-40
35. Earn DJD, Levin SA, Rohani P. 2000. Coherence and conservation. Science 290:1360-64
36. Elton C, Nicholson M. 1942. The ten-year cycle in numbers of the lynx in Canada. J. Anim. Ecol. 11:215-44
37. Fromentin J-M, Gjøsæter J, Bjørnstad ON, Stenseth NC. 2000. Biological processes and environmental factors regulating the temporal dynamics of the Norwegian Skagerrak cod since 1919. ICES J. Mari. Sci. 57:330-38
38. Grenfell BT, Bjørnstad ON, Kappey J. 2001. Traveling waves and spatial hierarchies in measles epidemics. Nature 414:716-23
39. Grenfell BT, Finkenstädt BF, Wilson K, Coulson TN, Crawley MJ. 2000. Ecology - nonlinearity and the Moran effect. Nature 406:847
40. Grenfell BT, Wilson K, Finkenstädt BF, Coulson TN, Murray S, et al. 1998. Noise and determinism in synchronised sheep dynamics. Nature 394:674-77
41. Hanski I. 1998. Metapopulation dynamics. Nature 396:41-49
42. Hanski I, Gilpin M. 1991. Metapopulation dynamics: brief history and conceptual domain. Biol. J. Linn. Soc. 42:3-16
43. Hanski I, Woiwod IP. 1993. Spatial synchrony in the dynamics of moth and aphid populations. J. Anim. Ecol. 62:656-68
44. Harrison S, Quinn JF. 1989. Correlated environments and the persistence of metapopulations. Oikos 56:293-98
45. Hassell MP, Comins HN, May RM. 1991. Spatial structure and chaos in insect population dynamics. Nature 353:255-58
46. Hastings A, Harrison S, McCann K. 1997. Unexpected spatial patterns in an insect outbreak match a predator diffusion model. Proc. R. Soc. London Ser. B 264:1837-40
47. Hawkins BA, Holyoak M. 1998. Transcontinental crashes of insect populations? Am. Nat. 152:480-84
48. Haydon D, Steen H. 1997. The effects of large-and small-scale random events on the synchrony of metapopulation dynamics: a theoretical analysis. Proc. R. Soc. London Ser. B Biol. Sci. 264:1375-81
49. Haydon DT, Greenwood PE. 2000. Spatial coupling in cyclic population dynamics: models and data. Theor. Popul. Biol. 58:239-54
50. Heino M, Kaitala V, Ranta E, Lindström J. 1997. Synchronous dynamics and rates of extinction in spatially structured populations. Proc. R. Soc. London Ser. B 264:481-86
51. Henttonen H, McGuire D, Hansson L. 1985. Comparisons of amplitude and frequencies (spectral analyses) of density variations in long-term data sets of Clethrionomys species. Ann. Zool. Fennici 22:221-27
52. Holmes EE, Lewis MA, Banks JE, Veit RR. 1994. Partial differential equations in ecology: spatial interactions and population dynamics. Ecology 75:17-29
53. Holyoak M, Lawler SP. 1996. Persistence of an extinction-prone predator-prey interaction through metapopulation dynamics. Ecology 77:1867-79
54. Hudson PJ, Cattadori IM. 1999. The Moran effeet: a cause of population synchrony. Trends Ecol. Evol. 14:1-2
55. Hurrell JW. 1995. Decadal trends in the North Atlantic Oscillation: regional temperatures and precipitation. Science 269:676-79
56. Huygens C. 1673. Horologium Oscillatorium. Paris: F. Muguet
57. Hyde CC. 1991. Patrick Alfred Pierce Moran 1917-1988. Biographical Memoirs of Fellows of the Royal Society of London, 37:365-79. London: R. Soc.
58. Ims RA. 1990. The ecology and evolution of reproductive synchrony. Trends Ecol. Evol. 5:135-40
59. Ims RA, Andreassen HP. 2000. Spatial synchronization of vole population dynamics by predatory birds. Nature 408:194-96
60. Ims RA, Steen H. 1990. Geographical synchrony in microtine population cycles: a theoretical evaluation of the role of nomadic avian predators. Oikos 57:381-87
61. Isagi Y, Sugimura K, Sumida A, Ito H. 1997. How does masting happen and synchronize? J. Theor. Biol. 187:231-39
62. Jammalamadaka SR, SenGupta A. 2001. Topics in Circular Statistics, Section 8. Singapore: World Sci. Press
63. Jansen VAA. 1999. Phase locking: another cause of synchronicity in predator-prey systems. Trends Ecol. Evol. 14:278-79
64. Johst K, Drechsler M. 2003. Are spatially correlated or uncorrelated disturbance regimes better for the survival of species? Oikos 103: 449-56
65. Jones J, Doran PJ, Holmes RT. 2003. Climate and food synchronize regional forest bird abundances. Ecology 84:3024-32
66. Kaitala V, Ranta E, Lundberg P. 2001. Self-organized dynamics in spatially structured populations. Proc. R. Soc. London Ser. B Biol. Sci. 268:1655-60
67. Kelly D, Sork V. 2002. Mast seeding: patterns, causes, and consequences. Annu. Rev. Ecol. Syst. 33:427-47
68. Kendall BE, Bjørnstad ON, Bascompte J, Keitt TH, Fagan WF. 2000. Dispersal, Environmental correlation, and spatial synchrony in population dynamics. Am. Nat. 155:628-36
69. Kendall BE, Briggs CJ, Murdoch WW, Turchin P, Ellner SP, et al. 1999. Why do populations cycle? A synthesis of statistical and mechanistic modeling approaches. Ecology 80:1789-805
70. King AW, With KA. 2002. Dispersal success on spatially structured landscapes: When do spatial pattern and dispersal behavior really matter? Ecol. Model. 147:23-39
71. Klemola T, Hanhimaki S, Ruohomaki K, Senn J, Tanhuanpaa M, et al. 2003. Performance of the cyclic autumnal moth, Epirrita autumnata, in relation to birch mast seeding. Oecologia 135:354-61
72. Koenig WD. 1998. Spatial autocorrelation in California land birds. Conserv. Biol. 12:612-20
73. Koenig WD. 1999. Spatial autocorrelation of ecological phenomena. Trends Ecol. Evol. 14:22-26
74. Koenig WD. 2001. Synchrony and periodicity of eruptions by boreal birds. Condor 103:725-35
75. Koenig WD. 2002. Global patterns of environmental synchrony and the Moran effect. Ecography 25:283-88
76. Koenig WD, Knops JMH. 1998a. Scale of mast-seeding and tree-ring growth. Nature 396:225-26
77. Koenig WD, Knops JMH. 1998b. Testing for spatial autocorrelation in ecological studies. Ecography 21:423-29
78. Koenig WD, Knops JMH. 2000. Patterns of annual seed production by northern hemisphere trees: a global perspective. Am. Nat. 155:59-69
79. Koenig WD, Knops JMH, Carmen WJ, Stanback MT. 1999. Spatial dynamics in the absence of dispersal: acorn production by oaks in central coastal California. Ecography 22:499-506
80. Lambin X, Elston DA, Petty SJ, MacKinnon JL. 1998. Spatial asynchrony and periodic travelling wave in cyclic field vole populations. Proc. R. Soc. London Ser. B 265:1491-96
81. Legendre P. 1993. Spatial autocorrelation: Trouble or new paradigm? Ecology 74:1659-73
82. Lennon JJ. 2000. Red-shifts and red herrings in geographical ecology. Ecography 23:101-13
83. Levin SA. 1992. The problem of pattern and scale in ecology. Ecology 73:1943-67
84. Liebhold A, Elkinton J, Muzika RM. 2000. What causes outbreaks of the gypsy moth in North America? Popul. Ecol. 42:257-66
85. Liebhold A, Kamata N. 2000. Are population cycles and spatial synchrony universal characteristics of forest insect populations? Popul. Ecol. 42:205-9
86. Liebhold A, Kamata N, Jacob T. 1996. Cyclicity and synchrony of historical outbreaks of the beech caterpillar, Quadricalcarifera punctatella (Motschulsky) in Japan. Res. Popul. Ecol. 38:87-94
87. Liebhold A, Sork V, Peltonen M, Koenig W, Bjørnstad O, et al. 2004. Within-population spatial synchrony in mast seeding of North American oaks. Oikos 104:156-64
88. Lindström J, Ranta E, Linden H. 1996. Large-scale synchrony in the dynamics of capercaillie, black grouse and hazel grouse populations in Finland. Oikos 76:221-27
89. Mackin-Rogalska R, Nabaglo L. 1990. Geographical variation in cyclic periodicity and synchrony in the common vole, Microtus arvalis. Oikos 59:343-48
90. Marcström V, Kenward RE, Engren E. 1988. The impact of predation on boreal tetranoids during vole cycles: an experimental study. J. Anim. Ecol. 57:859-72
91. Maron JL, Harrison S. 1997. Spatial pattern formation in an insect host-parasitoid system. Science 278:1619-21
92. Martin K, Stacey PB, Braun CE. 1997. Demographic rescue and maintenance of population stability in grouse - beyond metapopulations. Wildl. Biol. 3:295-96
93. Miller WE, Epstein ME. 1986. Synchronous population fluctuations among moth species (Lepidoptera). Environ. Entomol. 15:443-47
94. Molofsky J. 1994. Population dynamics and pattern formation in theoretical populations. Ecology 75:30-39
95. Moran PAP. 1953a. The statistical analysis of the Canadian lynx cycle. Aust. J. Zool. 1:163-73
96. Moran PAP. 1953b. The statistical analysis of the Canadian lynx cycle. II. Synchronization and meteorology. Aust. J. Zool. 1:291-98
97. Moss R, Elston DA, Watson A. 2000. Spatial asynchrony and demographic traveling waves during red grouse population cycles. Ecology 81:981-89
98. Murray JD. 1993. Mathematical Biology. New York: Springer-Verlag. 2nd ed.
99. Myers JH. 1990. Population cycles of western tent caterpillars: experimental introductions and synchrony of fluctuations. Ecology 71:986-95
100. Myers JH. 1998. Synchrony in outbreaks of forest Lepidoptera: a possible example of the Moran effect. Ecology 79:1111-17
101. Myers RA, Mertz G, Barrowman NJ. 1995. Spatial scales of variability in cod recruitment in the North Atlantic. Can. J. Fish. Aquat. Sci. 52:1849-62
102. Myers RA, Mertz G, Bridson J. 1997. Spatial scales of interannual recruitment variations of marine, anadromous, and freshwater fish. Can. J. Fish. Aquat. Sci. 54:1400-7
103. Oden NL, Sokal RR. 1986. Directional autocorrelation: an extension of spatial correlograms to two dimensions. Syst. Zool. 35:608-17
104. Ostfeld RS, Jones CG. 1996. Of mice and mast. BioScience 46:323-30
105. Ostfeld RS, Keesing F. 2000. Pulsed resources and community dynamics of consumers in terrestrial ecosystems. Trends Ecol. Evol. 15: 232-37
106. Paradis E, Baillie SR, Sutherland WJ, Gregory RD. 1999. Dispersal and spatial scale affect synchrony in spatial population dynamics. Ecol. Lett. 2:114-20
107. Paradis E, Baillie SR, Sutherland WJ, Gregory RD. 2000. Spatial synchrony in populations of birds: effects of habitat, population trend, and spatial scale. Ecology 81:2112-25
108. Pecora LM, Caroll TL. 1990. Synchronization in chaotic systems. Phys. Rev. Lett. 64:821-24
109. Peltonen A, Hanski I. 1991. Patterns of island occupancy explained by colonization and extinction rates in shrews. Ecology 72:1698-708
110. Peltonen M, Liebhold A, Bjørnstad ON, Williams DW. 2002. Variation in spatial synchrony among forest insect species: roles of regional stochasticity and dispersal. Ecology 83:3120-29
111. Pollard E. 1991. Synchrony of population fluctuations: the dominant influence of widespread factors on local butterfly populations. Oikos 60:7-10
112. Post E, Forchhammer MC. 2002. Synchronization of animal population dynamics by large-scale climate. Nature 420:168-71
113. Raimondo S, Liebhold AM, Strazanac JS, Butler L. 2004. Population synchrony within and among Lepidoptera species in relation to weather, phylogeny, and larval phenology. Environ. Entomol. 29:96-105
114. Ranta E, Kaitala V. 1997. Traveling waves in vole population dynamics. Nature 390: 456
115. Ranta E, Kaitala V, Lindström J. 1997a. Dynamics of Canadian lynx populations in space and time. Ecography 20:454-60
116. Ranta E, Kaitala V, Lindström J. 1999. Spatially autocorrelated disturbances and patterns in population synchrony. Proc. R. Soc. London Ser. B Biol. Sci. 266:1851-56
117. Ranta E, Kaitala V, Lindström K, Helle E. 1997b. The Moran effect and synchrony in population dynamics. Oikos 78:136-42
118. Ranta E, Kaitala V, Lindström J, Lindén H. 1995a. Synchrony in population dynamics. Proc. R. Soc. London Ser. B 262:113-18
119. Ranta E, Kaitala V, Lundberg P. 1998. Population variability in space and time: the dynamics of synchronous populations. Oikos 83:376-82
120. Ranta E, Lindström J, Lindén H. 1995b. Synchrony in tetranoid population dynamics. J. Anim. Ecol. 64:767-76
121. Ripa J. 2000. Analysing the Moran effect and dispersal: their significance and interaction in synchronous population dynamics. Oikos 89:175-87
122. Rohani P, Earn DJ, Grenfell BT. 1999. Opposite patterns of synchrony in sympatric disease metapopulations. Science 286:968-71
123. Rosenblum MG, Pikovsky AS, Kurths J. 1996. Phase synchronization of chaotic oscillators. Phys. Rev. Lett. 76:1804-7
124. Rossi MN, Fowler HG. 2003. The sugarcane borer, Diatraea saccharalis (Fabr.) (Lep., Crambidae) and its parasitoids: a synchrony approach to spatial and temporal dynamics. J. Appl. Entomol. 127:200-8
125. Rossi RE, Mulla DJ, Journel AG, Franz EH. 1992. Geostatistical tools for modeling and interpreting ecological spatial dependence. Ecol. Monogr. 62:277-314
126. Royama T. 1981. Fundamental concepts and methodology for the analysis of animal population dynamics, with special reference to univoltine species. Ecol. Monogr. 51:473-93
127. Royama T. 1992. Analytical Population Dynamics. London: Chapman & Hall
128. Satake A, Bjørnstad O, Kobro S. 2004. Masting and trophic cascades: interplay between Rowan trees, apple fruit moth, and their parasitoid in Southern Norway. Oikos 104:540-50
129. Satake A, Iwasa Y. 2002a. Spatially limited pollen exchange and a long range synchronization of trees. Ecology 90:830-33
130. Satake A, Iwasa Y. 2002b. The synchronized and intermittent reproduction of forest trees is mediated by the Moran effect, only in association with pollen coupling. J. Ecol. 90:830-38
131. Schauber EM, Kelly D, Turchin P, Simon C, Lee WG, et al. 2002. Masting by 18 New Zealand plant species: the role of temperature as a synchronizing cue. Ecology 83:1214-25
132. Selås V. 1997. Cyclic population fluctuations of herbivores as an effect of cyclic seed cropping of plants: the mast depression hypothesis. Oikos 80:257-68
133. Selås V, Hogstad O, Andersson G, von Proschwitz T. 2001. Population cycles of autumnal moth, Epirrita autumnata, in relation to birch mast seeding. Oecologia 129:213-19
134. Shepherd R, Bennet DD, Dale JW, Tunnock S, Dolph RE, Thier RW. 1988. Evidence of synchronized cycles in outbreak patterns of Douglas-fir tussock moth, Orgyia pseudotsugata (McDunnough) (Lepidoptera: Lymantriidae). Mem. Entomol. Soc. Canada, Ottawa 146:107-21
135. Sinsch U. 1997. Postmetamorphic dispersal and recruitment of first breeders in a Bufo calamita metapopulation. Oecologia 112: 42-47
136. Small RJ, Marcström V, Willebrand T. 1993. Synchronous and nonsynchronous population fluctuations of some predators and their prey in central Sweden. Ecography 16:360-64
137. Smith CH. 1983. Spatial trends in the Canadian snowshoe hare, Lepus americanus, population cycles. Can. Field Nat. 97:151-60
138. Steen H, Ims RA, Sonerud GA. 1996. Spatial and temporal patterns of small rodent population dynamics at a regional scale. Ecology 77:2365-72
139. Stone E. 1991. Frequency entrainment of phase coherent attractors. Phys. Lett. A 163:367-74
140. Sutcliffe OL, Thomas CD, Moss D. 1996. Spatial synchrony and asynchrony in butterfly population dynamics. J. Anim. Ecol. 65:85-95
141. Sutcliffe OL, Thomas CD, Yates TJ, Greatorex-Davies JN. 1997. Correlated extinctions, colonizations and population fluctuations in a highly connected ringlet butterfly metapopulation. Oecologia 109:235-41
142. Swanson BJ, Johnson DR. 1999. Distinguishing causes of intraspecific synchrony in population dynamics. Oikos 86:265-74
143. Tenow O. 1972. The outbreaks of Oporinia autumnata Bkh. and Operophthera spp. (Lep. Gometridae) in the Scandinavian mountain chain and northern Finland 1862-1968. Zool. Bidr. från Upps. (Suppl. 2):1-107
144. Thrall PH, Burdon JJ, Bock CH. 2001. Short-term epidemic dynamics in the Cakile maritima - Altemaria brassicicola host-pathogen association. J. Ecol. 89:723-35
145. Tobin PC, Bjørnstad ON. 2003. Spatial structuring and cross-correlation in a transient predator-prey system. J. Anim. Ecol. 72:460-67
146. Trenham PC, Koenig WD, Mossman MJ, Stark SL, Jagger LA. 2003. Regional dynamics of wetland-breeding frogs and toads: turnover and synchrony. Ecol. Appl. 13:1522-32
147. Trenham PC, Koenig WD, Shaffer HB. 2001. Spatially autocorrelated demography and interpond dispersal in the salamander Ambystoma californiense. Ecology 82:3519-30
148. Turchin P. 1990. Rarity of density dependence or population regulation with lags? Nature 344:660-63
149. Turchin P. 2003. Complex Population Dynamics: A Theoretical/Empirical Synthesis. Princeton, NJ: Princeton Univ. Press
150. Viboud C, Boëlle P-Y, Pakdaman K, Carrat F, Valleron A-J, Flahault A. 2004. Influenza epidemics in the United States, France, and Australia, 1972-1997. Emerg. Infect. Dis. 10:32-39
151. Watson A, Moss R, Rothery P. 2000. Weather and synchrony in 10-year population cycles of rock ptarmigan and red grouse in Scotland. Ecology 81:2126-36
152. Williams DW, Liebhold AM. 1995. Influence of weather on the synchrony of gypsy moth (Lepidoptera: Lymantriidae) outbreaks in New England. Environ. Entomol. 24:987-95
153. Williams DW, Liebhold AM. 2000a. Spatial scale and the detection of density dependence in spruce budworm outbreaks in eastern North America. Oecologia 124:544-52
154. Williams DW, Liebhold AM. 2000b. Spatial synchrony of spruce budworm outbreaks in eastern North America. Ecology 81:2753-66
155. Wilson WG, Harrison SP, Hastings A, McCann K. 1999. Exploring stable pattern formation in models of tussock moth populations. J. Anim. Ecol. 68:94-107
156. Ydenberg R. 1987. Nomadic predators and geographic synchrony in microtine population cycles. Oikos 50:270-72
157. Zhang Q-B, Alfaro RI. 2003. Spatial synchrony of the two-year cycle budworm outbreaks in central British Columbia, Canada. Oikos 102:146-54