Size and scaling of predator-prey dynamics

Ecology Letters
Joshua S Weitz, Simon A Levin

Abstract

We propose a scaled version of the Rosenzweig-MacArthur model using both Type I and Type II functional responses that incorporates the size dependence of interaction rates. Our aim is to link the energetic needs of organisms with the dynamics of interacting populations, for which survival is a result of a game-theoretic struggle for existence. We solve the scaled model of predator-prey dynamics and predict population level characteristics such as the scaling of coexistence size ranges and the optimal predator-prey size ratio. For a broad class of such models, the optimal predator-prey size ratio given available prey of a fixed size is constant. We also demonstrate how scaling predictions of prey density differ under resource limitation vs. predator drawdown. Finally, we show how evolution of predator size can destabilize population dynamics, compare scaling of predator-prey cycles to previous work, as well as discuss possible extensions of the model to multispecies communities.

References

Jan 1, 1993·IMA Journal of Mathematics Applied in Medicine and Biology·M A BurkeJ D Murray
Feb 22, 1996·Nature·G A De Leo, A P Dobson
Aug 4, 1999·Nature·U Dieckmann, M Doebeli
Feb 13, 2001·Theoretical Population Biology·K M Cuddington, P Yodzis
Mar 10, 2001·Journal of Theoretical Biology·P S DoddsJ S Weitz
Sep 22, 2001·Science·J F GilloolyE L Charnov
Oct 26, 2001·Nature·G B WestB J Enquist
Mar 23, 2002·Science·Chris Carbone, John L Gittleman
Aug 1, 2002·Proceedings of the National Academy of Sciences of the United States of America·Jayanth R BanavarAndrea Rinaldo
Dec 13, 2002·Nature·Jayanth R BanavarAndrea Rinaldo
Jan 28, 2003·Proceedings of the National Academy of Sciences of the United States of America·Joel E CohenStephen R Carpenter
Mar 15, 2003·Proceedings of the National Academy of Sciences of the United States of America·Craig R White, Roger S Seymour
Feb 7, 2004·Science·Martin A Nowak, Karl Sigmund
Mar 18, 2004·The American Naturalist·Van M SavageEric L Charnov
May 12, 2004·Respiratory Physiology & Neurobiology·Ewald R WeibelHans Hoppeler
Oct 9, 2004·Science·Walter JetzJames H Brown
Jan 14, 2005·Proceedings of the National Academy of Sciences of the United States of America·Joel E CohenVan M Savage
Apr 13, 2005·Proceedings of the National Academy of Sciences of the United States of America·Nicolas Loeuille, Michel Loreau
Jul 21, 2005·The American Naturalist·David A Vasseur, Kevin S McCann
Oct 15, 2005·The American Naturalist·Lin JiangPaul G Falkowski
Aug 19, 2008·The American Naturalist·Kim Cuddington, Peter Yodzis
Dec 1, 1997·Evolution; International Journal of Organic Evolution·Peter A Abrams, Hiroyuki Matsuda
Oct 1, 2000·The American Naturalist·Michael Doebeli, Ulf Dieckmann

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Citations

Jul 20, 2011·Bulletin of Mathematical Biology·Lai ZhangMichael Pedersen
May 21, 2013·Journal of Theoretical Biology·Henrique C GiacominiNigel P Lester
Sep 23, 2011·Proceedings. Biological Sciences·James C StegenBrian J Enquist
Mar 28, 2009·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Pablo Inchausti, Lev R Ginzburg
Sep 26, 2012·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Claudio de SassiJason M Tylianakis
Nov 10, 2009·Biological Reviews of the Cambridge Philosophical Society·Douglas S Glazier
Aug 5, 2011·Journal of Virology·Jan O HaerterKim Sneppen
Sep 7, 2007·PLoS Biology·Takehito YoshidaNelson G Hairston
Nov 10, 2013·PloS One·Mollie E BrooksBenjamin M Bolker
May 26, 2012·Ecology·John P DeLong, David A Vasseur
Nov 8, 2014·Proceedings. Biological Sciences·Marlee A Tucker, Tracey L Rogers
Feb 13, 2015·The American Naturalist·John P DeLongMary I O'Connor
Jan 4, 2008·The American Naturalist·Kohei Yoshiyama, Christopher A Klausmeier
Apr 3, 2007·Trends in Ecology & Evolution·Ethan P WhiteBrian J Enquist
Oct 17, 2006·Ecology Letters·Ulrich BroseNeo D Martinez
Jun 11, 2008·The Journal of Animal Ecology·U BroseS Scheu
Sep 8, 2010·The New Phytologist·Charles A PriceKarl J Niklas
Jul 19, 2012·The Journal of Animal Ecology·John P DeLong, David A Vasseur
Aug 31, 2012·Ecology Letters·Charles A PriceJerome Chave
Jul 4, 2013·Ecology Letters·Gregor KalinkatUlrich Brose
Jun 2, 2011·Ecology Letters·J M K Rip, K S McCann
Jul 4, 2012·Journal of Theoretical Biology·Yixian SongBarbara Drossel
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bohyun Lee, Emmanuel Tannenbaum
Jan 17, 2020·Ecology·Stella F Uiterwaal, John P DeLong
Mar 5, 2019·Evolutionary Applications·John P DeLong, Jonathan Belmaker
Jul 4, 2020·The European Physical Journal. E, Soft Matter·Andreas Eilersen, Kim Sneppen
Mar 5, 2020·Scientific Reports·Andreas EilersenKim Sneppen
Aug 19, 2021·Oecologia·Travis McDevitt-GallesPieter T J Johnson

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