Abstract
In many stage-structured species, different life stages often occupy separate spatial niches in a heterogeneous environment. Life stages of the giant flour beetle Tribolium brevicornis (Leconte), in particular adults and pupae, occupy different locations in a homogeneous habitat. This unique spatial pattern does not occur in the well-studied stored grain pests T. castaneum (Herbst) and T. confusum (Duval). We propose density dependent dispersal as a causal mechanism for this spatial pattern. We model and explore the spatial dynamics of T. brevicornis with a set of four density dependent integrodifference and difference equations. The spatial model exhibits multiple attractors: a spatially uniform attractor and a patchy attractor with pupae and adults spatially separated. The model attractors are consistent with experimental observations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 491-508 |
| Number of pages | 18 |
| Journal | Bulletin of Mathematical Biology |
| Volume | 74 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2012 |
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Keywords
- Density dependent dispersal
- Flour beetle
- Integrodifference equations
- Life stage interactions
- Spatial distribution
ASJC Scopus subject areas
- Neuroscience(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Pharmacology
- Immunology
- Biochemistry, Genetics and Molecular Biology(all)
- Agricultural and Biological Sciences(all)
- Environmental Science(all)
Cite this
Life Stages : Interactions and Spatial Patterns. / Robertson, Suzanne L.; Cushing, Jim M; Costantino, Robert F.
In: Bulletin of Mathematical Biology, Vol. 74, No. 2, 02.2012, p. 491-508.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Life Stages
T2 - Interactions and Spatial Patterns
AU - Robertson, Suzanne L.
AU - Cushing, Jim M
AU - Costantino, Robert F
PY - 2012/2
Y1 - 2012/2
N2 - In many stage-structured species, different life stages often occupy separate spatial niches in a heterogeneous environment. Life stages of the giant flour beetle Tribolium brevicornis (Leconte), in particular adults and pupae, occupy different locations in a homogeneous habitat. This unique spatial pattern does not occur in the well-studied stored grain pests T. castaneum (Herbst) and T. confusum (Duval). We propose density dependent dispersal as a causal mechanism for this spatial pattern. We model and explore the spatial dynamics of T. brevicornis with a set of four density dependent integrodifference and difference equations. The spatial model exhibits multiple attractors: a spatially uniform attractor and a patchy attractor with pupae and adults spatially separated. The model attractors are consistent with experimental observations.
AB - In many stage-structured species, different life stages often occupy separate spatial niches in a heterogeneous environment. Life stages of the giant flour beetle Tribolium brevicornis (Leconte), in particular adults and pupae, occupy different locations in a homogeneous habitat. This unique spatial pattern does not occur in the well-studied stored grain pests T. castaneum (Herbst) and T. confusum (Duval). We propose density dependent dispersal as a causal mechanism for this spatial pattern. We model and explore the spatial dynamics of T. brevicornis with a set of four density dependent integrodifference and difference equations. The spatial model exhibits multiple attractors: a spatially uniform attractor and a patchy attractor with pupae and adults spatially separated. The model attractors are consistent with experimental observations.
KW - Density dependent dispersal
KW - Flour beetle
KW - Integrodifference equations
KW - Life stage interactions
KW - Spatial distribution
UR - http://www.scopus.com/inward/record.url?scp=84856250043&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84856250043&partnerID=8YFLogxK
U2 - 10.1007/s11538-011-9705-x
DO - 10.1007/s11538-011-9705-x
M3 - Article
C2 - 22135094
AN - SCOPUS:84856250043
VL - 74
SP - 491
EP - 508
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
SN - 0092-8240
IS - 2
ER -