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book.bib
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book.bib
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@book{weiher2001ecological,
title={Ecological assembly rules: perspectives, advances, retreats},
author={Weiher, Evan and Keddy, Paul},
year={2001},
publisher={Cambridge University Press}
}
@article{capitan2009statistical,
title={Statistical mechanics of ecosystem assembly},
author={Capit{\'a}n, Jos{\'e} A and Cuesta, Jos{\'e} A and Bascompte, Jordi},
journal={Physical Review Letters},
volume={103},
number={16},
pages={168101},
year={2009},
publisher={APS}
}
@article{schreiber2004simple,
title={From simple rules to cycling in community assembly},
author={Schreiber, Sebastian J and Rittenhouse, Seth},
journal={Oikos},
volume={105},
number={2},
pages={349--358},
year={2004},
publisher={Wiley Online Library}
}
@article{hang1993assembly,
title={The assembly of ecological communities: a minimalist approach},
author={Hang-Kwang, Luh and Pimm, Stuart L},
journal={Journal of Animal Ecology},
pages={749--765},
year={1993},
publisher={JSTOR}
}
@article{law1993alternative,
title={Alternative permanent states of ecological communities},
author={Law, Richard and Morton, R Daniel},
journal={Ecology},
volume={74},
number={5},
pages={1347--1361},
year={1993},
publisher={Wiley Online Library}
}
@article{sigmuiud1995darwin,
title={Darwin's "circles of complexity": Assembling ecological communities},
author={Sigmund, Karl},
journal={Complexity},
volume={1},
number={1},
pages={40--44},
year={1995},
publisher={Wiley Online Library}
}
@article{gotelli1999communities,
title={How Do Communities Come Together?},
author={Gotelli, Nicholas J},
journal={Science},
volume={286},
number={5445},
pages={1684--1685},
year={1999},
publisher={American Association for the Advancement of Science}
}
@article{goh1977global,
title={Global stability in many-species systems},
author={Goh, Bo S},
journal={The American Naturalist},
volume={111},
number={977},
pages={135--143},
year={1977},
publisher={University of Chicago Press}
}
@article{diamond1975assembly,
title={Assembly of species communities},
author={Diamond, Jared M},
journal={Ecology and evolution of communities},
pages={342--444},
year={1975},
publisher={Harvard University Press}
}
@article{bittleston2020context,
title={Context-dependent dynamics lead to the assembly of functionally distinct microbial communities},
author={Bittleston, Leonora S and Gralka, Matti and Leventhal, Gabriel E and Mizrahi, Itzhak and Cordero, Otto X},
journal={Nature communications},
volume={11},
number={1},
pages={1--10},
year={2020},
publisher={Nature Publishing Group}
}
@article{drake1991community,
title={Community-assembly mechanics and the structure of an experimental species ensemble},
author={Drake, James A},
journal={The American Naturalist},
volume={137},
number={1},
pages={1--26},
year={1991},
publisher={University of Chicago Press}
}
@article{amor2020transient,
title={Transient invaders can induce shifts between alternative stable states of microbial communities},
author={Amor, Daniel R and Ratzke, Christoph and Gore, Jeff},
journal={Science advances},
volume={6},
number={8},
pages={eaay8676},
year={2020},
publisher={American Association for the Advancement of Science}
}
@article{morton1996models,
title={On models for assembling ecological communities},
author={Morton, R Daniel and Law, Richard and Pimm, Stuart L and Drake, James A},
journal={Oikos},
pages={493--499},
year={1996},
publisher={JSTOR}
}
@article{law1996permanence,
title={Permanence and the assembly of ecological communities},
author={Law, Richard and Morton, R Daniel},
journal={Ecology},
volume={77},
number={3},
pages={762--775},
year={1996},
publisher={Wiley Online Library}
}
@book{cadotte2016phylogenies,
title={Phylogenies in ecology: a guide to concepts and methods},
author={Cadotte, Marc W and Davies, T Jonathan},
year={2016},
publisher={Princeton University Press}
}
@book{hubbell2001unified,
title={The unified neutral theory of biodiversity and biogeography},
author={Hubbell, Stephen P},
volume={32},
year={2001},
publisher={Princeton University Press}
}
@book{gotelli1996null,
title={Null models in ecology},
author={Gotelli, Nicholas J and Graves, Gary R},
year={1996}
}
@article{gotelli1999communities,
title={How Do Communities Come Together?},
author={Gotelli, Nicholas J},
journal={Science},
volume={286},
number={5445},
pages={1684--1685},
year={1999},
publisher={American Association for the Advancement of Science}
}
@article{biroli2018marginally,
title={Marginally stable equilibria in critical ecosystems},
author={Biroli, Giulio and Bunin, Guy and Cammarota, Chiara},
journal={New Journal of Physics},
volume={20},
number={8},
pages={083051},
year={2018},
publisher={IOP Publishing}
}
@article{suweis2013emergence,
title={Emergence of structural and dynamical properties of ecological mutualistic networks},
author={Suweis, Samir and Simini, Filippo and Banavar, Jayanth R and Maritan, Amos},
journal={Nature},
volume={500},
number={7463},
pages={449--452},
year={2013},
publisher={Nature Publishing Group}
}
@article{macarthur1970species,
title={Species packing and competitive equilibrium for many species},
author={MacArthur, Robert},
journal={Theoretical population biology},
volume={1},
number={1},
pages={1--11},
year={1970},
publisher={Elsevier}
}
@article{fukami2015historical,
title={Historical contingency in community assembly: integrating niches, species pools, and priority effects},
author={Fukami, Tadashi},
journal={Annual Review of Ecology, Evolution, and Systematics},
volume={46},
pages={1--23},
year={2015},
publisher={Annual Reviews}
}
@article{servan2020tractable,
title={Tractable models of ecological assembly},
author={Serv{\'a}n, Carlos A and Allesina, Stefano},
journal={bioRxiv},
year={2020},
publisher={Cold Spring Harbor Laboratory}
}
@book{macarthur2001theory,
title={The theory of island biogeography},
author={MacArthur, Robert H and Wilson, Edward O},
volume={1},
year={2001},
publisher={Princeton university press}
}
@article{macarthur1970species,
title={Species packing and competitive equilibrium for many species},
author={MacArthur, Robert},
journal={Theoretical population biology},
volume={1},
number={1},
pages={1--11},
year={1970},
publisher={Elsevier}
}
@article{macarthur1955fluctuations,
title={Fluctuations of animal populations and a measure of community stability},
author={MacArthur, Robert},
journal={Ecology},
volume={36},
number={3},
pages={533--536},
year={1955},
publisher={JSTOR}
}
@article{macarthur1967limiting,
title={The limiting similarity, convergence, and divergence of coexisting species},
author={MacArthur, Robert and Levins, Richard},
journal={The american naturalist},
volume={101},
number={921},
pages={377--385},
year={1967},
publisher={Science Press}
}
@Book{xie2015,
title = {Dynamic Documents with {R} and knitr},
author = {Yihui Xie},
publisher = {Chapman and Hall/CRC},
address = {Boca Raton, Florida},
year = {2015},
edition = {2nd},
note = {ISBN 978-1498716963},
url = {http://yihui.org/knitr/},
}
@article{dambacher2003qualitative,
title={Qualitative stability and ambiguity in model ecosystems},
author={Dambacher, Jeffrey M and Luh, Hang-Kwang and Li, Hiram W and Rossignol, Philippe A},
journal={The American Naturalist},
volume={161},
number={6},
pages={876--888},
year={2003},
publisher={The University of Chicago Press}
}
@article{may1973qualitative,
title={Qualitative stability in model ecosystems},
author={May, Robert M},
journal={Ecology},
volume={54},
number={3},
pages={638--641},
year={1973},
publisher={Wiley Online Library}
}
@article{maynard2018network,
title={Network spandrels reflect ecological assembly},
author={Maynard, Daniel S and Serv{\'a}n, Carlos A and Allesina, Stefano},
journal={Ecology letters},
volume={21},
number={3},
pages={324--334},
year={2018},
publisher={Wiley Online Library}
}
@book{szederkenyi2018analysis,
title={Analysis and control of polynomial dynamic models with biological applications},
author={Szederkenyi, Gabor and Magyar, Attila and Hangos, Katalin M},
year={2018},
publisher={Academic Press}
}
@article{sole2006network,
title={Are network motifs the spandrels of cellular complexity?},
author={Sol{\'e}, Ricard V and Valverde, Sergi},
journal={Trends in ecology \& evolution},
volume={21},
number={8},
pages={419--422},
year={2006},
publisher={Elsevier}
}
@article{gould1979spandrels,
title={The spandrels of San Marco and the Panglossian paradigm: a critique of the adaptationist programme},
author={Gould, Stephen Jay and Lewontin, Richard C},
journal={Proceedings of the Royal Society of London. Series B. Biological Sciences},
volume={205},
number={1161},
pages={581--598},
year={1979},
publisher={The Royal Society London}
}
@article{servan2018coexistence,
title={Coexistence of many species in random ecosystems},
author={Serv{\'a}n, Carlos A and Capit{\'a}n, Jos{\'e} A and Grilli, Jacopo and Morrison, Kent E and Allesina, Stefano},
journal={Nature ecology \& evolution},
volume={2},
number={8},
pages={1237},
year={2018},
publisher={Nature Publishing Group}
}
@article{levins1969some,
title={Some demographic and genetic consequences of environmental heterogeneity for biological control},
author={Levins, Richard},
journal={American Entomologist},
volume={15},
number={3},
pages={237--240},
year={1969},
publisher={Oxford University Press}
}
@article{kuebbing2015above,
title={Above-and below-ground effects of plant diversity depend on species origin: an experimental test with multiple invaders},
author={Kuebbing, Sara E and Classen, Aim{\'e}e T and Sanders, Nathan J and Simberloff, Daniel},
journal={New Phytologist},
volume={208},
number={3},
pages={727--735},
year={2015},
publisher={Wiley Online Library}
}
@article{maynard2019predicting,
title={Predicting coexistence in experimental ecological communities},
author={Maynard, Daniel S and Miller, Zachary R and Allesina, Stefano},
journal={Nature Ecology \& Evolution},
pages={91--100},
volume={4},
year={2020},
publisher={Cold Spring Harbor Laboratory}
}
@book{smith1982evolution,
title={Evolution and the Theory of Games},
author={Maynard Smith, John},
year={1982},
publisher={Cambridge university press}
}
@article{nash1950equilibrium,
title={Equilibrium points in n-person games},
author={Nash, John F},
journal={Proceedings of the National Academy of Sciences},
volume={36},
number={1},
pages={48--49},
year={1950},
publisher={USA}
}
@article{cadotte2013experimental,
title={Experimental evidence that evolutionarily diverse assemblages result in higher productivity},
author={Cadotte, Marc W},
journal={Proceedings of the National Academy of Sciences},
volume={110},
number={22},
pages={8996--9000},
year={2013},
publisher={National Acad Sciences}
}
@article{levins1969some,
title={Some demographic and genetic consequences of environmental heterogeneity for biological control},
author={Levins, Richard},
journal={American Entomologist},
volume={15},
number={3},
pages={237--240},
year={1969},
publisher={Oxford University Press}
}
@book{puccia2013qualitative,
title={Qualitative modeling of complex systems: an introduction to loop analysis and time averaging},
author={Puccia, Charles J and Levins, Richard},
year={2013},
publisher={Harvard University Press}
}
@article{macarthur1967limiting,
title={The limiting similarity, convergence, and divergence of coexisting species},
author={MacArthur, Robert and Levins, Richard},
journal={The american naturalist},
volume={101},
number={921},
pages={377--385},
year={1967},
publisher={Science Press}
}
@book{levins1968evolution,
title={Evolution in changing environments: some theoretical explorations},
author={Levins, Richard},
year={1968},
publisher={Princeton University Press}
}
@article{levins1966strategy,
title={The strategy of model building in population biology},
author={Levins, Richard},
journal={American scientist},
volume={54},
number={4},
pages={421--431},
year={1966},
publisher={JSTOR}
}
@incollection{theorecolrandom,
author = {Allesina, Stefano and Grilli, Jacopo},
title = {Models for large ecological communities—a random matrix approach},
booktitle = {Theoretical Ecology: concepts and applications},
publisher = {Oxford University Press},
year = 2020,
editor = {McCann, Kevin S and Gellner, Gabriel},
chapter = 6,
pages = {74--92}
}
@book{mccann2020theoretical,
title={Theoretical Ecology: concepts and applications},
author={McCann, Kevin S and Gellner, Gabriel},
year={2020},
publisher={Oxford University Press}
}
@article{o2014low,
title={Low rank perturbations of large elliptic random matrices},
author={O'Rourke, Sean and Renfrew, David},
journal={Electronic Journal of Probability},
volume={19},
year={2014},
publisher={The Institute of Mathematical Statistics and the Bernoulli Society}
}
@article{marsland2019minimum,
title={The minimum environmental perturbation principle: A new perspective on niche theory},
author={Marsland III, Robert and Cui, Wenping and Mehta, Pankaj},
journal={arXiv preprint arXiv:1901.09673},
year={2019}
}
@article{levin1970community,
title={Community equilibria and stability, and an extension of the competitive exclusion principle},
author={Levin, Simon A},
journal={The American Naturalist},
volume={104},
number={939},
pages={413--423},
year={1970},
publisher={University of Chicago Press}
}
@article{case1979global,
title={Global stability and multiple domains of attraction in ecological systems},
author={Case, Ted J and Casten, Richard G},
journal={The American Naturalist},
volume={113},
number={5},
pages={705--714},
year={1979},
publisher={University of Chicago Press}
}
@article{may1997scientific,
title={The scientific wealth of nations},
author={May, Robert M},
journal={Science},
volume={275},
number={5301},
pages={793--796},
year={1997},
publisher={JSTOR}
}
@article{haldane2011systemic,
title={Systemic risk in banking ecosystems},
author={Haldane, Andrew G and May, Robert M},
journal={Nature},
volume={469},
number={7330},
pages={351--355},
year={2011},
publisher={Nature Publishing Group}
}
@article{may1988many,
title={How many species are there on earth?},
author={May, Robert M},
journal={Science},
volume={241},
number={4872},
pages={1441--1449},
year={1988},
publisher={American Association for the Advancement of Science}
}
@article{nowak1992evolutionary,
title={Evolutionary games and spatial chaos},
author={Nowak, Martin A and May, Robert M},
journal={Nature},
volume={359},
number={6398},
pages={826--829},
year={1992},
publisher={Springer}
}
@book{anderson1992infectious,
title={Infectious diseases of humans: dynamics and control},
author={Anderson, Roy M and May, Robert M},
year={1992},
publisher={Oxford university press}
}
@article{mccann2000diversity,
title={The diversity--stability debate},
author={McCann, Kevin Shear},
journal={Nature},
volume={405},
number={6783},
pages={228--233},
year={2000},
publisher={Nature Publishing Group}
}
@article{hector1999plant,
title={Plant diversity and productivity experiments in European grasslands},
author={Hector, Aea and Schmid, B and Beierkuhnlein, C and Caldeira, MC and Diemer, M and Dimitrakopoulos, PG and Finn, JA and Freitas, H and Giller, PS and Good, J and others},
journal={science},
volume={286},
number={5442},
pages={1123--1127},
year={1999},
publisher={American Association for the Advancement of Science}
}
@article{tilman2001diversity,
title={Diversity and productivity in a long-term grassland experiment},
author={Tilman, David and Reich, Peter B and Knops, Johannes and Wedin, David and Mielke, Troy and Lehman, Clarence},
journal={Science},
volume={294},
number={5543},
pages={843--845},
year={2001},
publisher={American Association for the Advancement of Science}
}
@article{lotka1926frequency,
title={The frequency distribution of scientific productivity},
author={Lotka, Alfred J},
journal={Journal of the Washington academy of sciences},
volume={16},
number={12},
pages={317--323},
year={1926},
publisher={JSTOR}
}
@article{smale1976differential,
title={On the differential equations of species in competition},
author={Smale, Steve},
journal={Journal of Mathematical Biology},
volume={3},
number={1},
pages={5--7},
year={1976},
publisher={Springer}
}
@article{hirsch1982systems,
title={Systems of differential equations which are competitive or cooperative: I. limit sets},
author={Hirsch, Morris W},
journal={SIAM Journal on Mathematical Analysis},
volume={13},
number={2},
pages={167--179},
year={1982},
publisher={SIAM}
}
@article{barabas2016effect,
title={The effect of intra-and interspecific competition on coexistence in multispecies communities},
author={Barab{\'a}s, Gy{\"o}rgy and J. Michalska-Smith, Matthew and Allesina, Stefano},
journal={The American Naturalist},
volume={188},
number={1},
pages={E1--E12},
year={2016},
publisher={University of Chicago Press Chicago, IL}
}
@article{may1972will,
title={Will a large complex system be stable?},
author={May, Robert M},
journal={Nature},
volume={238},
number={5364},
pages={413--414},
year={1972},
publisher={Springer}
}
@book{hadeler2017topics,
title={Topics in mathematical biology},
author={Hadeler, Karl Peter and Mackey, Michael C and Stevens, Angela},
year={2017},
publisher={Springer}
}
@incollection{baigent2016lotka,
title={Lotka-Volterra dynamics: an introduction},
author={Baigent, Stephen A},
year={2016},
publisher={World Scientific}
}
@article{allesina2015stability,
title={The stability--complexity relationship at age 40: a random matrix perspective},
author={Allesina, Stefano and Tang, Si},
journal={Population Ecology},
volume={57},
number={1},
pages={63--75},
year={2015},
publisher={Wiley Online Library}
}
@article{allesina2012stability,
title={Stability criteria for complex ecosystems},
author={Allesina, Stefano and Tang, Si},
journal={Nature},
volume={483},
number={7388},
pages={205},
year={2012},
publisher={Nature Publishing Group}
}
@book{ellner2011dynamic,
title={Dynamic models in biology},
author={Ellner, Stephen P and Guckenheimer, John},
year={2011},
publisher={Princeton University Press}
}
@book{hofbauer1998evolutionary,
title={Evolutionary games and population dynamics},
author={Hofbauer, Josef and Sigmund, Karl},
year={1998},
publisher={Cambridge University Press}
}
@book{strogatz2018nonlinear,
title={Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering},
author={Strogatz, Steven H},
year={2018},
publisher={CRC Press}
}
@article{brandl2017distribution,
title={The distribution of optimal strategies in symmetric zero-sum games},
author={Brandl, Florian},
journal={Games and Economic Behavior},
volume={104},
pages={674--680},
year={2017},
publisher={Elsevier}
}
@article{lotka2002contribution,
title={Contribution to the theory of periodic reactions},
author={Lotka, Alfred J},
journal={The Journal of Physical Chemistry},
volume={14},
number={3},
pages={271--274},
year={2002},
publisher={ACS Publications}
}
@article{volterra1926variazioni,
title={Variazioni e fluttuazioni del numero d'individui in specie animali conviventi},
author={Volterra, Vito},
journal={Memor. Accad. Lincei.},
volume={6},
pages={31--113},
year={1926}
}
@article{volterra1926fluctuations,
title={Fluctuations in the abundance of a species considered mathematically},
author={Volterra, Vito},
journal={Nature},
volume={118},
pages={558--560},
year={1926}
}
@article{lotka1920analytical,
title={Analytical note on certain rhythmic relations in organic systems},
author={Lotka, Alfred J},
journal={Proceedings of the National Academy of Sciences},
volume={6},
number={7},
pages={410--415},
year={1920},
publisher={National Acad Sciences}
}
@article{lotka1926frequency,
title={The frequency distribution of scientific productivity},
author={Lotka, Alfred J},
journal={Journal of the Washington academy of sciences},
volume={16},
number={12},
pages={317--323},
year={1926},
publisher={JSTOR}
}
@article{may1976simple,
title={Simple mathematical models with very complicated dynamics},
author={May, Robert M},
journal={Nature},
volume={261},
number={5560},
pages={459--467},
year={1976},
publisher={Springer}
}
@book{hirsch2012differential,
title={Differential equations, dynamical systems, and an introduction to chaos},
author={Hirsch, Morris W and Smale, Stephen and Devaney, Robert L},
year={2012},
publisher={Academic press}
}
@book{seydel2009practical,
title={Practical bifurcation and stability analysis},
author={Seydel, R{\"u}diger},
volume={5},
year={2009},
publisher={Springer Science \& Business Media}
}
@article{scheffer2009early,
title={Early-warning signals for critical transitions},
author={Scheffer, Marten and Bascompte, Jordi and Brock, William A and Brovkin, Victor and Carpenter, Stephen R and Dakos, Vasilis and Held, Hermann and Van Nes, Egbert H and Rietkerk, Max and Sugihara, George},
journal={Nature},
volume={461},
number={7260},
pages={53--59},
year={2009},
publisher={Nature Publishing Group}
}
@article{dai2012generic,
title={Generic indicators for loss of resilience before a tipping point leading to population collapse},
author={Dai, Lei and Vorselen, Daan and Korolev, Kirill S and Gore, Jeff},
journal={Science},
volume={336},
number={6085},
pages={1175--1177},
year={2012},
publisher={American Association for the Advancement of Science}
}
@article{fisher1995optimal,
title={Optimal strategies for random tournament games},
author={Fisher, David C and Reeves, Richard B},
journal={Linear Algebra and its Applications},
volume={217},
pages={83--85},
year={1995},
publisher={Elsevier}
}
@article{allesina2011competitive,
title={A competitive network theory of species diversity},
author={Allesina, Stefano and Levine, Jonathan M},
journal={Proceedings of the National Academy of Sciences},
volume={108},
number={14},
pages={5638--5642},
year={2011},
publisher={National Acad Sciences}
}
@article{grilli2017higher,
title={Higher-order interactions stabilize dynamics in competitive network models},
author={Grilli, Jacopo and Barab{\'a}s, Gy{\"o}rgy and Michalska-Smith, Matthew J and Allesina, Stefano},
journal={Nature},
volume={548},
number={7666},
pages={210},
year={2017},
publisher={Nature Publishing Group}
}
@article{lotka2002contribution,
title={Contribution to the theory of periodic reactions},
author={Lotka, Alfred J},
journal={The Journal of Physical Chemistry},
volume={14},
number={3},
pages={271--274},
year={2002},
publisher={ACS Publications}
}
@article{volterra1926variazioni,
title={Variazioni e fluttuazioni del numero d'individui in specie animali conviventi},
author={Volterra, Vito},
journal={Memor. Accad. Lincei.},
volume={6},
pages={31--113},
year={1926}
}
@article{volterra1926fluctuations,
title={Fluctuations in the abundance of a species considered mathematically},
author={Volterra, Vito},
journal={Nature},
volume={118},
pages={558--560},
year={1926}
}
@article{lotka1920analytical,
title={Analytical note on certain rhythmic relations in organic systems},
author={Lotka, Alfred J},
journal={Proceedings of the National Academy of Sciences},
volume={6},
number={7},
pages={410--415},
year={1920},
publisher={National Acad Sciences}
}
@Book{xie2015,
title = {Dynamic Documents with {R} and knitr},
author = {Yihui Xie},
publisher = {Chapman and Hall/CRC},
address = {Boca Raton, Florida},
year = {2015},
edition = {2nd},
note = {ISBN 978-1498716963},
url = {http://yihui.org/knitr/},
}