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Timeinvariant and stochastic disperserstructured matrix models: Invasion rates of fleshyfruited exotic shrubs
1.  University of Miami, Institute of Theoretical and Mathematical Ecology, Department of Biology, P.O. Box 249118, Coral Gables, FL 331240421, United States, United States 
2.  United States Department of Agriculture, Plant Protection and Quarantine, Plant Epidemiology and Risk Analysis Laboratory, 1730 Varsity Drive, Suite 300, Raleigh, NC 276065202, United States 
References:
[1] 
H. Caswell, M. G. Neubert and C. M. Hunter, Demography and dispersal: Invasion speeds and sensitivity analysis in periodic and stochastic environments,, Theoretical Ecology, 4 (2011), 407. doi: 10.1007/s120800100091z. 
[2] 
D. A. Cimprich and F. R. Moore, Gray Catbird,, The Birds of North America, 5 (1995), 1. 
[3] 
J. S. Clark, E. Macklin and L. Wood, Stages and spatial scales of recruitment limitation in southern Appalachian forests,, Ecological Monographs, 68 (1998), 213. 
[4] 
J. S. Clark, M. Silman, R. Kern, E. Macklin and J. HilleRisLambers, Seed dispersal near and far: Patterns across temperate and tropical forests,, Ecology, 80 (1999), 1475. doi: 10.2307/176541. 
[5] 
S. P. Ellner and S. J. Schreiber, Temporally variable dispersal and demography can accelerate the spread of invading species,, Theoretical Population Biology, 82 (2012), 283. doi: 10.1016/j.tpb.2012.03.005. 
[6] 
J. J. Ewel, D. S. Ojima, D. A. Karl and W. F. DeBusk, Schinus in Successional Ecosystems of Everglades National Park,, Technical Report T676, (1982). 
[7] 
R. A. Fisher, The wave of advance of advantageous genes,, Annals of Eugenics, 7 (1937), 355. doi: 10.1111/j.14691809.1937.tb02153.x. 
[8] 
D. R. Gordon and K. P. Thomas, Florida's invasion by nonindigenous plants: history, screening, and regulation,, in Strangers in Paradise (eds. D. Simberloff, (1997), 21. 
[9] 
S. I. Higgins and D. M. Richardson, Predicting plant migration rates in a changing world: The role of longdistance dispersal,, American Naturalist, 153 (1999), 464. doi: 10.1086/303193. 
[10] 
K. M. Hodges, J. Chamberlain and B. D. Leopold, Effects of summer hunting on ranging behavior of adult raccoons in central Mississippi,, Journal of Wildlife Management, 64 (2000), 194. doi: 10.2307/3802990. 
[11] 
E. Jongejans, K. Shea, O. Skarpaas, D. Kelly and S. P. Ellner, Importance of individual and environmental variation for invasive species spread: A spatial integral projection model,, Ecology, 92 (2011), 86. doi: 10.1890/092226.1. 
[12] 
A. L. Koop, Population Dynamics and Invasion Rate of an Invasive, Tropical Understory Shrub, Ardisia Elliptica,, Ph.D dissertation, (2003). 
[13] 
A. L. Koop, Differential seed mortality among habitats limits the distribution of the invasive nonnative shrub Ardisia elliptica,, Plant Ecology, 172 (2004), 237. 
[14] 
A. L. Koop and C. C. Horvitz, Projection matrix analysis of the demography of an invasive, nonnative shrub (Ardisia elliptica),, Ecology, 86 (2005), 2661. 
[15] 
M. Kot, Discretetime travelling waves: Ecological examples,, Journal of Mathematical Biology, 30 (1992), 413. doi: 10.1007/BF00173295. 
[16] 
M. Kot, M. A. Lewis and P. van den Driessche, Dispersal data and the spread of invading organisms,, Ecology, 77 (1996), 2027. doi: 10.2307/2265698. 
[17] 
K. A. Langeland and K. C. Burks, Identification and Biology of NonNative Plants in Florida's Natural Areas,, University of Florida, (1998). 
[18] 
D. J. Levey and W. H. Karasov, Digestive modulation in a seasonal frugivore, the American robin (Turdus migratorius),, American Journal of Physiology, 262 (1992). 
[19] 
D. J. Levey, J. J. Tewksbury and B. M. Bolker, Modelling longdistance seed dispersal in heterogeneous landscapes,, Journal of Ecology, 96 (2008), 599. doi: 10.1111/j.13652745.2008.01401.x. 
[20] 
W. M. Lonsdale, Rates of spread of an invading species  Mimosa pigra in northern Australia,, Journal of Ecology, 81 (1993), 513. 
[21] 
P. K. Malmborg and M. F. Willson, Foraging ecology of avian frugivores and some consequences for seed dispersal in an Illinois woodlot,, The Condor, 90 (1988), 173. doi: 10.2307/1368446. 
[22] 
M. G. Neubert and H. Caswell, Demography and dispersal: Calculation and sensitivity analysis of invasion speed for structured populations,, Ecology, 81 (2000), 1613. 
[23] 
I. M. Parker and S. H. Reichard, Critical issues in invasion biology for conservation science,, in Conservation Biology for the Coming Decade (eds. P. L. Fiedler and P. M. Kareiva), (1998), 283. doi: 10.1007/9781461560517_11. 
[24] 
J. H. Rappole and D. W. Warner, Ecological aspects of migrant bird behavior in Veracruz, Mexico,, in Migrant Birds in the Neotropics: Ecology, (1980), 343. 
[25] 
R. Seavey and J. Seavey, Ardisia Elliptica in Everglades National Park: An Overview Through 1993,, Unpublished Manuscript., (). 
[26] 
K. Shea and D. Kelly, Estimating biocontrol agent impact with matrix models: Carduus nutans in New Zealand,, Ecological Applications, 8 (1998), 824. 
[27] 
N. Shigesada and K. Kawasaki, Biological Invasions: Theory and Practice,, Oxford University Press, (1997). 
[28] 
J. G. Skellam, Random dispersal in theoretical populations,, Biometrika, 38 (1951), 196. doi: 10.1093/biomet/38.12.196. 
[29] 
M. B. Soons and J. Bullock, Nonrandom seed abscission, longdistance wind dispersal and plant migration rates,, Journal of Ecology, 96 (2008), 581. doi: 10.1111/j.13652745.2008.01370.x. 
[30] 
S. Tuljapurkar, Population Dynamics in Variable Environments,, Lecture Notes in Biomathematics, (1990). doi: 10.1007/9783642516528. 
[31] 
R. P. Wunderlin, Guide to the Vascular Plants of Florida,, University Press of Florida, (1998). 
show all references
References:
[1] 
H. Caswell, M. G. Neubert and C. M. Hunter, Demography and dispersal: Invasion speeds and sensitivity analysis in periodic and stochastic environments,, Theoretical Ecology, 4 (2011), 407. doi: 10.1007/s120800100091z. 
[2] 
D. A. Cimprich and F. R. Moore, Gray Catbird,, The Birds of North America, 5 (1995), 1. 
[3] 
J. S. Clark, E. Macklin and L. Wood, Stages and spatial scales of recruitment limitation in southern Appalachian forests,, Ecological Monographs, 68 (1998), 213. 
[4] 
J. S. Clark, M. Silman, R. Kern, E. Macklin and J. HilleRisLambers, Seed dispersal near and far: Patterns across temperate and tropical forests,, Ecology, 80 (1999), 1475. doi: 10.2307/176541. 
[5] 
S. P. Ellner and S. J. Schreiber, Temporally variable dispersal and demography can accelerate the spread of invading species,, Theoretical Population Biology, 82 (2012), 283. doi: 10.1016/j.tpb.2012.03.005. 
[6] 
J. J. Ewel, D. S. Ojima, D. A. Karl and W. F. DeBusk, Schinus in Successional Ecosystems of Everglades National Park,, Technical Report T676, (1982). 
[7] 
R. A. Fisher, The wave of advance of advantageous genes,, Annals of Eugenics, 7 (1937), 355. doi: 10.1111/j.14691809.1937.tb02153.x. 
[8] 
D. R. Gordon and K. P. Thomas, Florida's invasion by nonindigenous plants: history, screening, and regulation,, in Strangers in Paradise (eds. D. Simberloff, (1997), 21. 
[9] 
S. I. Higgins and D. M. Richardson, Predicting plant migration rates in a changing world: The role of longdistance dispersal,, American Naturalist, 153 (1999), 464. doi: 10.1086/303193. 
[10] 
K. M. Hodges, J. Chamberlain and B. D. Leopold, Effects of summer hunting on ranging behavior of adult raccoons in central Mississippi,, Journal of Wildlife Management, 64 (2000), 194. doi: 10.2307/3802990. 
[11] 
E. Jongejans, K. Shea, O. Skarpaas, D. Kelly and S. P. Ellner, Importance of individual and environmental variation for invasive species spread: A spatial integral projection model,, Ecology, 92 (2011), 86. doi: 10.1890/092226.1. 
[12] 
A. L. Koop, Population Dynamics and Invasion Rate of an Invasive, Tropical Understory Shrub, Ardisia Elliptica,, Ph.D dissertation, (2003). 
[13] 
A. L. Koop, Differential seed mortality among habitats limits the distribution of the invasive nonnative shrub Ardisia elliptica,, Plant Ecology, 172 (2004), 237. 
[14] 
A. L. Koop and C. C. Horvitz, Projection matrix analysis of the demography of an invasive, nonnative shrub (Ardisia elliptica),, Ecology, 86 (2005), 2661. 
[15] 
M. Kot, Discretetime travelling waves: Ecological examples,, Journal of Mathematical Biology, 30 (1992), 413. doi: 10.1007/BF00173295. 
[16] 
M. Kot, M. A. Lewis and P. van den Driessche, Dispersal data and the spread of invading organisms,, Ecology, 77 (1996), 2027. doi: 10.2307/2265698. 
[17] 
K. A. Langeland and K. C. Burks, Identification and Biology of NonNative Plants in Florida's Natural Areas,, University of Florida, (1998). 
[18] 
D. J. Levey and W. H. Karasov, Digestive modulation in a seasonal frugivore, the American robin (Turdus migratorius),, American Journal of Physiology, 262 (1992). 
[19] 
D. J. Levey, J. J. Tewksbury and B. M. Bolker, Modelling longdistance seed dispersal in heterogeneous landscapes,, Journal of Ecology, 96 (2008), 599. doi: 10.1111/j.13652745.2008.01401.x. 
[20] 
W. M. Lonsdale, Rates of spread of an invading species  Mimosa pigra in northern Australia,, Journal of Ecology, 81 (1993), 513. 
[21] 
P. K. Malmborg and M. F. Willson, Foraging ecology of avian frugivores and some consequences for seed dispersal in an Illinois woodlot,, The Condor, 90 (1988), 173. doi: 10.2307/1368446. 
[22] 
M. G. Neubert and H. Caswell, Demography and dispersal: Calculation and sensitivity analysis of invasion speed for structured populations,, Ecology, 81 (2000), 1613. 
[23] 
I. M. Parker and S. H. Reichard, Critical issues in invasion biology for conservation science,, in Conservation Biology for the Coming Decade (eds. P. L. Fiedler and P. M. Kareiva), (1998), 283. doi: 10.1007/9781461560517_11. 
[24] 
J. H. Rappole and D. W. Warner, Ecological aspects of migrant bird behavior in Veracruz, Mexico,, in Migrant Birds in the Neotropics: Ecology, (1980), 343. 
[25] 
R. Seavey and J. Seavey, Ardisia Elliptica in Everglades National Park: An Overview Through 1993,, Unpublished Manuscript., (). 
[26] 
K. Shea and D. Kelly, Estimating biocontrol agent impact with matrix models: Carduus nutans in New Zealand,, Ecological Applications, 8 (1998), 824. 
[27] 
N. Shigesada and K. Kawasaki, Biological Invasions: Theory and Practice,, Oxford University Press, (1997). 
[28] 
J. G. Skellam, Random dispersal in theoretical populations,, Biometrika, 38 (1951), 196. doi: 10.1093/biomet/38.12.196. 
[29] 
M. B. Soons and J. Bullock, Nonrandom seed abscission, longdistance wind dispersal and plant migration rates,, Journal of Ecology, 96 (2008), 581. doi: 10.1111/j.13652745.2008.01370.x. 
[30] 
S. Tuljapurkar, Population Dynamics in Variable Environments,, Lecture Notes in Biomathematics, (1990). doi: 10.1007/9783642516528. 
[31] 
R. P. Wunderlin, Guide to the Vascular Plants of Florida,, University Press of Florida, (1998). 
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