Abstract
Chapters 1–3 report studies that focus on single state variables within behavioral systems. Behavioral systems, however, involve multiple state variables. In this chapter we demonstrate the efficacy of differential equation-based modeling which focuses on two state variables, behavior and habitat occupancy. This research was initially published in the journal Animal Behaviour in 2007 by Shandelle Henson, Brian Dennis, James Hayward, J. M. Cushing, and Joseph Galusha [16].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amlaner CJ, Ball NJ (1983) A synthesis of sleep in wild birds. Behaviour 87:85–119
Amlaner CJ, McFarland DJ (1981) Sleep in the herring gull (Larus argentatus). Anim Behav 29:551–556
Anderson DH (1983) Compartmental modeling and tracer kinetics. In: Levin S (ed) Lecture notes in biomathematics. Springer, Berlin
Chen S, Lee AY, Bowens NM, Huber R, Kravitz EA (2002) Fighting fruit flies: a model system for the study of aggression. Proc Natl Acad Sci U. S. A. 99:5664–5668
Cushing, JM, Costantino RF, Dennis B, Desharnais RA, Henson SM (2003) Chaos in ecology: experimental nonlinear dynamics. Academic Press, San Diego, CA
Damania SP, Phillips KW, Henson SM, Hayward JL (2005) Habitat patch occupancy dynamics of glaucous-winged gulls (Larus glaucescens) II: a continuous time model. Nat Resour Model 18:469–499
Delius JD (1970) The effect of daytime, tides and other factors on some activities of lesser black-backed gulls, Larus fuscus. Revue de Comportement Animal 4:3–11
Drent RH (1967) Functional aspects of incubation in the herring gull (Larus argentatus Pont). Behaviour Supplement 17:1–32
Dugatkin LE, Reeve HK (1998) Game theory and animal behavior. Oxford University Press, Oxford
Engen S, Sæther BE (1998) Stochastic population models: some concepts, definitions, and results. Oikos 83:345–352
Galusha JG, Amlaner CJ (1978) The effects of diurnal and tidal periodicities in the numbers and activities of herring gulls Larus argentatus. Ibis 120:322–328
Galusha JG, Hayward JL (2002) Bald eagle activity at a gull colony and seal rookery on Protection Island, Washington. Northwest Nat 83:23–25
Gottman JM, Roy AK (1990) Sequential analysis: a guide for behavioral researchers. Cambridge University Press, New York
Hayward JL, Henson SM, Logan CJ, Parris CR, Meyer MW, Dennis B (2005) Predicting numbers of hauled-out harbour seals: a mathematical model. J Appl Ecol 42:108–117
Hazlett BA, Bach CE (1977) Predicting behavioral relationships: In Hazlett BA (ed) Quantitative methods in the study of animal behavior, pp 121–144. Academic Press, New York
Henson SM, Dennis B, Hayward JL, Cushing JM, Galusha JG (2007) Predicting the dynamics of animal behaviour in field populations. Anim Behav 74:103–110
Henson SM, Hayward JL, Burden CM, Logan CJ, Galusha JG (2004) Predicting dynamics of aggregate loafing behavior in glaucous-winged gulls (Larus glaucescens) at a Washington colony. Auk 121:380–390
Henson SM, Hayward JL, Damania SP (2005) Identifying environmental determinants of diurnal distribution in marine birds and mammals. Bull Math Biol 68:467–482
Hobson JA (2005) Sleep is of the brain, by the brain, and for the brain. Nature 437:1254–1256
Lusseau D (2003) Effects of tour boats on the behavior of bottlenose dolphins: using Markov chains to model anthropogenic impacts. Conserv Biol 17:1785–1793
Mangel M, Clark CW (1988) Dynamic modeling in behavioral ecology. Princeton University Press, Princeton, NJ
McFarland DJ (1971) Feedback mechanisms in animal behaviour. Academic Press, London
Murdoch M (1993) Factors affecting behavioral variation of individual glaucous-winged gulls (Larus glaucescens) while on territory. M.S. thesis, Loma Linda University, Loma Linda, CA
Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1986) Numerical recipes: the art of scientific computing. Cambridge University Press, Cambridge
Railsback SF (2001) Getting “results”: the pattern-oriented approach to analyzing natural systems with individual-based models. Nat Resour Model 14:465–475
Rattenborg NC, Amlaner CJ, Lima SL (2000) Behavioral, neurophysiology and evolutionary perspective on unihemispheric sleep. Neurosci Biobehav Rev 24:817–842
Shaffery JP, Ball NJ, Amlaner CJ, Jr (1985) Manipulating daytime sleep in herring gulls (Larus argentatus). Anim Behav 33:566–572
Siegel JM (1995) Phylogeny and the function of REM sleep. Behav Brain Res 69:29–34
Siegel JM (2005) Clues to the functions of mammalian sleep. Nature 437:1264–1271
Slater PJB (1978) Data collection. In: Colgan PW (ed) Quantitative Ethology. Wiley, New York, pp 8–24
Steadman RG (1979) The assessment of sultriness, Part I: a temperature-humidity index based on human physiology and clothing science. J Appl Meteorol 18:861–873
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Cushing, J.M., Henson, S.M., Hayward, J.L. (2023). Simultaneous Modeling of Occupancy and Behavior Dynamics. In: Modeling Behavior and Population Dynamics. Interdisciplinary Applied Mathematics, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-031-34283-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-031-34283-7_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-34282-0
Online ISBN: 978-3-031-34283-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)