Modelling biological invasions over homogeneous and inhomogeneous landscapes using level set methods

Biological Invasions

Volumn 10, Issue 2, 2008, Pages 157-167

  Basse, Britta ^a   Plank, Michael ^a  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

Author keywords

Boundary; Invasion; Mathematical model; New Zealand; Weeds

Indexed keywords

BIOLOGICAL INVASION; ECOLOGICAL MODELING; ENVIRONMENTAL DEGRADATION; HOMOGENEITY; INVASIVE SPECIES; NUMERICAL MODEL; SPATIAL DISTRIBUTION; TOPOGRAPHIC EFFECT; WEED;

AUSTRALASIA; NEW ZEALAND;

EID: 38349177487     PISSN: 13873547     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10530-007-9119-8     Document Type: Article

References (11)

1. Clark J, Lewis M, Horvath L (2001) Invasion by extremes: population spread with variation in dispersal and reproduction. Am Natural 157(5):537-554
2. Fagan W, Lewis M, Neubert M, Aumann C, Apple J, Bishop J (2005) When can herbivores slow or reverse the spread of an invading plant? A test case from Mount St. Helens. Am Natural 166(6):669-685
3. Hastings A, Cuddington K, Davies K, Dugaw C, Elmendorf S, Freestone A, Harrison S, Hooland M, Lambrinos J, Malvadkar U, Melbourne B, Moore K, Taylor C, Thomson D (2005) The spatial spread of invasions: new developments in theory and evidence. Ecol Lett 8:91-101
4. Hogea CS, Murray BT, Sethian JA (2006) Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. J Math Biol 53(1):86-134
5. Lapidus L, Pinder G (1982) Numerical solution of partial differential equations in science and engineering. John Wiley and Sons Inc, USA
6. Leathwick R, Mc Overton J, McLeod M (2003) An environmental domain classification of New Zealand and its use as a tool for Biodiversity Management. Conserv Biol 17(6):1612-1623
7. Millar A (2006) Untangling spatial distribution patterns of the invasive herb Hieracium lepidulum Stenstr. (Asteraceae) in a New Zealand mountain landscape, PhD thesis, Lincoln University.
8. Osher S, Fedkiw R (2003) Level set methods and dynamic implicit surfaces. Springer-Verlag
9. Sethian J (1996) Level set methods and fast marching methods. Cambridge University Press
10. Shigaseda N, Kawasaki K (1997) Biological Invasions: Theory and Practice. Oxford University Press, Oxford
11. Wiser S, Allen R, Clinton P, Platt K (1993) Community structure and forest invasion by an exotic herb over 23 years. Ecology 79(6):2071-2081