博文
http://www.eve.ucdavis.edu/sschreiber/pu
||
| Hofbauer, J. & Schreiber, S.J. (preprint), "Permanence for structured interacting populations" [Abstract] [BibTeX] |
| Abstract: To model the dynamics of interacting structured populations, we consider dissipative models of the form $dx_idt= A_i (x)x_i$ where $x_iin n_i$, $x=(x_1,x_k)$, and $A_i(x)$ is a $n_itimes n_i$ matrix with non-negative off-diagonal entries. These models are permanent if the boundary of the non-negative cone of $n_1+dots +n_k$ is repelling and is called robustly permanent if the system remains permanent for sufficiently small perturbations of $A_i(x)$. A necessary condition and a sufficient condition for robust permanence involving the dominant Lyapunov exponents $i($ of the linear cocycle of $A_i(x)$ with respect to invariant probability measures $ are given. The necessary condition requires that $i i(>0$ for all ergodic probability measures with support in the boundary of the non-negative cone. The sufficient condition requires that the boundary semiflow admits a Morse decomposition $M_1 , ..., M_l$ such that every $M_j$ satisfies $i i(>0$ for all invariant measures $ with support in $M_j$. When the $M_j$ are Axiom A, uniquely ergodic, or support all but one population, the necessary and sufficient conditions are shown to be equivalent. Applications to spatially structured ecological dynamics, disease dynamics with density-dependent demography, and a gene network are given. |
BibTeX:
@article{hofbauer-schreiber,
author = {J. Hofbauer and S. J. Schreiber},
title = {Permanence for structured interacting populations},
year = {preprint}
}
|
| Schreiber, S.J. & Killingback, T.P. (preprint), "Cycling in space: Persistence of rock-paper-scissor metacommunities" [BibTeX] |
BibTeX:
@article{schreiber-killingback-preprint,
author = {S. J. Schreiber and T. P. Killingback},
title = {Cycling in space: Persistence of rock-paper-scissor metacommunities},
year = {preprint}
}
|
| Schreiber, S.J. & Lloyd-Smith, J.O. (in revision), "Invasion dynamics in spatially heterogenous environments", American Naturalist. [Abstract] [BibTeX] |
| Abstract: Biological invasions, including infectious disease outbreaks and biocontrol introductions, often involve small numbers of individuals arriving in a spatially heterogeneous environment. Small numbers lead to a central role for demographic stochasticity, and spatial heterogeneity in demographic rates means that establishment success depends critically on the introduction sites and movement patterns of invaders. Empirical studies frequently report that these phenomena have important influences on the outcome of biological invasions, but presently there is no theoretical framework to organize and understand these findings. Here we present a general stochastic modeling framework to address how spatial heterogeneity and movement patterns interact to determine establishment success, population growth, and rates of spatial spread. For dispersal limited populations, our analysis reveals that spatial heterogeneity increases the expected population growth rate and that local reproductive numbers (the mean number of progeny produced by an individual during its lifetime within a patch) determine establishment success. Higher dispersal rates decrease the expected population growth rate, but can enhance establishment success, highlighting the potential for dispersal to act as a bet-hedging strategy for organisms arriving in a novel environment. This enhancement is particularly pronounced when movement patterns are positively correlated with the local reproductive numbers, i.e. for adaptive movement patterns. We analyze the effects of different forms of propagule pressure, and find that several small, randomly distributed propagules of invaders are more likely to succeed than a single large propagule. Even if invasions are ultimately successful, there may be substantial time lags before an invading organism reaches observable densities. Our analysis reveals that these time lags are longer for invasions into patches where extinction risk is high and in landscapes where metapopulation population growth rate is low, while the opposite holds true for rates of spatial spread. We present a sensitivity analysis of our models to provide guidance for control efforts, showing that when movement rates are high, control efforts should be targeted at sites corresponding to the highest local reproductive numbers, regardless of where the invader was introduced; and when movement rates are low, efforts should be focused on surveillance and rapid response at the site of introduction. Many of our theoretical predictions are corroborated by recent findings from the empirical literature, and we outline implications for conservation and control efforts and for future research priorities. !! |
BibTeX:
@article{,
author = {S. J. Schreiber and J. O. Lloyd-Smith},
title = {Invasion dynamics in spatially heterogenous environments},
journal = {American Naturalist},
year = {in revision}
}
|
| Benam, M. & Schreiber, S.J. (in press), "Persistence of structured populations in random environments", Theoretical Population Biology. [Abstract] [BibTeX] [PDF] |
| Abstract: Environmental fluctuations often have different impacts on individuals that differ in size, age, or spatial location. To understand how population structure, environmental fluctuations, and density-dependent interactions influence population dynamics, we provide a general theory for persistence for density-dependent matrix models in random environments. For populations with compensating density dependence, exhibiting ``bounded'' dynamics, and living in a stationary environment, we show that persistence is determined by the stochastic growth rate (alternatively, dominant Lyapunov exponent) when the population is rare. If this stochastic growth rate is negative, then the total population abundance goes to zero with probability one. If this stochastic growth rate is positive, there is a unique positive stationary distribution. Provided there are initially some individuals in the population, the population converges in distribution to this stationary distribution and the empirical measures almost surely converge to the distribution of the stationary distribution. For models with overcompensating density-dependence, weaker results are proven. Methods to estimate stochastic growth rates are presented. To illustrate the utility of these results, applications to unstructured, spatially structured, and stage-structured population models are given. For instance, we show that diffusively coupled sink populations can persist provided that within patch fitness is sufficiently variable in time but not strongly correlated across space. !! |
BibTeX:
@article{tpb-09,
author = {M. Benam and S. J. Schreiber},
title = {Persistence of structured populations in random environments},
journal = {Theoretical Population Biology},
year = {in press}
}
|
| Schreiber, S.J. & Saltzman, E. (in press), "Evolution of predator and prey movement into sink habitats", American Naturalist. [Abstract] [BibTeX] [PDF] |
| Abstract: Mathematical models of predator-prey interactions in a patchy landscape are used to explore the evolution of dispersal into sink habitats. When evolution is constrained to a single trophic level, three evolutionary outcomes are observed. If predator-prey dynamics are sufficiently stable in source habitats, then there is an evolutionarily stable strategy (ESS) corresponding to sedentary phenotypes that specialize on source habitats. However, if predator-prey dynamics are sufficiently unstable in source habitats, then either an ESS corresponding to dispersive phenotypes utilizing both source and sink habitats or an evolutionary stable coalition (ESC) between dispersive and sedentary phenotypes emerges. ESCs only occur if dispersal into sink habitats can stabilize the predator-prey interactions. When evolution of dispersal proceeds at both trophic levels, nine evolutionary outcomes corresponding to any combination of specialists and generalists at one or both trophic levels were observed. Coevolution is largely top-down driven. If the predator mortality rate in sink habitats is low, then selection pressure for predator movement into sink habitats can forestall the evolution of prey sink populations. Alternatively, if this mortality rate is high, then the predators ultimately play a sedentary ESS. Only at intermediate predator mortality rates is there selection for predator and prey movement into sink habitats. These results suggest that the instability of predator-prey interactions may foster speciation near species borders. Moreover, they illustrate an evolutionary paradox of enrichment in which enriching source habitats can result in a loss of phenotypic diversity. !! |
BibTeX:
@article{amnat-inpress,
author = {S. J. Schreiber and E. Saltzman},
title = {Evolution of predator and prey movement into sink habitats},
journal = {American Naturalist},
year = {in press}
}
|
| Kon, R. & Schreiber, S.J. (2009), "Host and multiple parasitoid dynamics with egg limitation", SIAM Journal of Applied Mathematics. Vol. 69, pp. 959-976. [Abstract] [BibTeX] [PDF] |
| Abstract: To address the contentious issue of multiple parasitoid introductions in classical biological control, a discrete-time model of multiparasitoid-host interactions that accounts for host density-dependence and egg limitation is introduced and analyzed. For parasitoids that are egg-limited but not search-limited, the model is proven to exhibit four types of dynamics: host failure in which the host goes extinct in the presence or absence of the parasitoids, parasitoid driven extinction in which the parasitoid complex invariably drives the host extinct, host persistence, and conditional host persistence in which depending on the initial ratios of host to parasitoid densities the host is either driven extinct or persists. In the case of host persistence, the dynamics of the system are shown to be asymptotic to the dynamics of an appropriately defined one-dimensional difference equation. The results illustrate how the establishment of one or more parasitoids can facilitate the invasion of another parasitoid and how a complex of parasitoids can drive a host extinct despite every species in the complex being unable to do so. The effects of including search limitation are also explored. |
BibTeX:
@article{siap-09,
author = {R. Kon and S. J. Schreiber},
title = {Host and multiple parasitoid dynamics with egg limitation},
journal = {SIAM Journal of Applied Mathematics},
year = {2009},
volume = {69},
pages = {959-976}
}
|
| Lipcius, R.N., Eggleston, D.B., Schreiber, S.J., Seitz, R.D., Shen, J., Sisson, M., Stockhausen, W.T. & Wang, H.V. (2008), "Metapopulation connectivity and stock enhancement of marine species", Reviews in Fishery Science. Vol. 16, pp. 101-110. [BibTeX] [URL] |
BibTeX:
@article{rfs-08,
author = {R.~N. Lipcius and D.~B. Eggleston and S.~J. Schreiber and R.~D. Seitz and J.~Shen and M.~Sisson and W.~T. Stockhausen and H.~V. Wang},
title = {Metapopulation connectivity and stock enhancement of marine species},
journal = {Reviews in Fishery Science},
year = {2008},
volume = {16},
pages = {101--110},
url = {http://dx.doi.org/10.1080/10641260701812574}
}
|
| Schreiber, S.J. & Rudolf, V. (2008), "Crossing habitat boundaries: Coupling dynamics of ecosystems through complex life cycles", Ecology Letters. Vol. 11, pp. 576-587. [Abstract] [BibTeX] [PDF] |
| Abstract: Ecosystems are often indirectly connected through consumers with complex life cycles (CLC), in which different life stages inhabit different ecosystems. Using a structured consumer resource model that accounts for the independent effects of two resources on consumer growth and reproductive rates, we show that such indirect connections between ecosystems can result in alternative stable states characterized by adult dominated and juvenile dominated consumer populations. As a consequence, gradual changes in ecosystem productivity or mortality rates of the consumer can lead to dramatic and abrupt regime shifts across different ecosystems, hysteresis, and counterintuitive changes in the consumer abundances. Whether these counter-intuitive or abrupt responses occur depend on the relative productivity of both habitats and which consumer life-stage inhabits the manipulated ecosystem. These results demonstrate the strong yet complex interactions between ecosystems coupled through consumers with CLC and the need to think across ecosystems to reliably predict the consequences of natural or anthropogenic changes. !! |
BibTeX:
@article{ecolets-08,
author = {S. J. Schreiber and V. Rudolf},
title = {Crossing habitat boundaries: Coupling dynamics of ecosystems through complex life cycles},
journal = {Ecology Letters},
year = {2008},
volume = {11},
pages = {576-587}
}
|
| Schreiber, S.J. (2007), "On persistence and extinction of randomly perturbed dynamical systems", Discrete and Continous Dynamical Systems B. Vol. 7, pp. 457-463. [Abstract] [BibTeX] [PDF] |
| Abstract: Let f:M->M be a continuous map of a locally compact metric space. Models of interacting populations often have a closed invariant set E that corresponds to the loss or extinction of one or more populations. The dynamics of f subject to bounded random perturbations for which E is absorbing are studied. When these random perturbations are sufficiently small, almost sure absorbtion (i.e. extinction) for all initial conditions is shown to occur if and only if M E contains no attractors for f. Applications to evolutionary bimatrix games and uniform persistence are given. In particular, it shown that random perturbations of evolutionary bimatrix game dynamics result in almost sure extinction of one or more strategies.!! |
BibTeX:
@article{dcds07,
author = {S. J. Schreiber},
title = {On persistence and extinction of randomly perturbed dynamical systems},
journal = {Discrete and Continous Dynamical Systems B},
year = {2007},
volume = {7},
pages = {457--463}
}
|
| Schreiber, S.J. (2007), "Periodicity, persistence, and collapse in host-parasitoid systems with egg limitation", Journal of Biological Dynamics. Vol. 1, pp. 273 - 287. [BibTeX] [PDF] |
BibTeX:
@article{jbd-07,
author = {Schreiber, S. J.},
title = {Periodicity, persistence, and collapse in host-parasitoid systems with egg limitation},
journal = {Journal of Biological Dynamics},
year = {2007},
volume = {1},
pages = {273 - 287}
}
|
| Jacobs, F. & Schreiber, S.J. (2006), "Random perturbations of dynamical systems with absorbing states", SIAM Journal of Applied Dynamical Systems. Vol. 5, pp. 293-312. [BibTeX] [PDF] |
BibTeX:
@article{siads-06,
author = {F. Jacobs and S. J. Schreiber},
title = {Random perturbations of dynamical systems with absorbing states},
journal = {SIAM Journal of Applied Dynamical Systems},
year = {2006},
volume = {5},
pages = {293--312}
}
|
| Kirkland, S., Li, C. & Schreiber, S.J. (2006), "On the evolution of dispersal in patchy landscapes", SIAM Journal on Applied Mathematics. Vol. 66(4), pp. 1366-1382. [Abstract] [BibTeX] [PDF] |
| Abstract: To better understand the evolution of dispersal in spatially heterogeneous landscapes, we study difference equation models of populations that reproduce and disperse in a landscape consisting of k patches. The connectivity of the patches and costs of dispersal are determined by a k x k column substochastic matrix S, where Sij represents the fraction of dispersing individuals from patch j that end up in patch i. Given S, a dispersal strategy is a k x 1 vector whose ith entry gives the probability pi that individuals disperse from patch i. If all of the pi's are the same, then the dispersal strategy is called unconditional; otherwise it is called conditional. For two competing populations of unconditional dispersers, we prove that the slower dispersing population (i.e., the population with the smaller dispersal probability) displaces the faster dispersing population. Alternatively, for populations of conditional dispersers without any dispersal costs (i.e., S is column stochastic and all patches can support a population), we prove that there is a one parameter family of strategies that resists invasion attempts by all other strategies.!! |
BibTeX:
@article{siap-06,
author = {S. Kirkland and C.K. Li and S. J. Schreiber},
title = {On the evolution of dispersal in patchy landscapes},
journal = {SIAM Journal on Applied Mathematics},
year = {2006},
volume = {66},
number = {4},
pages = {1366-1382}
}
|
| Li, C.K. & Schreiber, S.J. (2006), "On dispersal and population growth for multistate matrix models", Linear Algebra Appl.. Vol. 418(2-3), pp. 900-912. [BibTeX] [PDF] |
BibTeX:
@article{laa-06,
author = {C. K. Li and S. J. Schreiber},
title = {On dispersal and population growth for multistate matrix models},
journal = {Linear Algebra Appl.},
year = {2006},
volume = {418},
number = {2-3},
pages = {900--912}
}
|
| Lloyd-Smith, J.O., Schreiber, S.J. & Getz, W.M. (2006), "Moving beyond averages: individual-level variation in disease transmission", In Mathematical studies on human disease dynamics. Providence, RI Vol. 410, pp. 235-258. Amer. Math. Soc.. [Abstract] [BibTeX] [PDF] |
| Abstract: It is common practice in disease modeling studies to characterize groups or subgroups using population-average parameters, most importantly the basic reproductive number, R0 . This approach overlooks variation at the individual level, which is caused by many factors. In this paper we show evidence of significant individual-level variation in transmission patterns for several diseases, and discuss how this can be incorporated into epidemiological models. We introduce a natural generalization of R0 : the Ôindividual reproductive numberÕ, v, which is the expected number of secondary cases caused by a given infected individual. Individual reproductive numbers for a population are drawn from a continuous probability distribution with mean equal to R0 (or to the effective reproductive number, R, if the population is not wholly susceptible). In this framework, superspreading events correspond to extreme values from the right-hand tail of the distribution of v, and we propose a precise and generalizable deÞnition of superspreading events based on probabilistic considerations. We analyze detailed transmission data for a range of directly-transmitted diseases, and Þnd that conventional models assuming homogeneous transmission cannot account for observed patterns. Analysis of a branching process model incorporating individual-level heterogeneity reveals that observed levels of variation cause invasion dynamics to differ dramatically from predictions based on population averages. We explore the implications of these Þndings for outbreak control policies, demonstrating that individual-speciÞc control measures are more likely to stop an outbreak than population-wide measures when both have the same effect on R0 . We also highlight the effectiveness of measures targeting highly infectious individuals, and discuss how our results relate to recently-proposed surveillance methods for emerging diseases. We conclude by discussing future challenges in empirical and theoretical studies. |
BibTeX:
@incollection{book-06,
author = {J. O. Lloyd-Smith and S. J. Schreiber and W. M. Getz},
title = {Moving beyond averages: individual-level variation in disease transmission},
booktitle = {Mathematical studies on human disease dynamics},
publisher = {Amer. Math. Soc.},
year = {2006},
volume = {410},
pages = {235--258}
}
|
| Schreiber, S.J. (2006), "Host-parasitoid dynamics of a generalized Thompson model", J. Math. Biol.. Vol. 52, pp. 719-732. [BibTeX] [PDF] |
BibTeX:
@article{jmb-06,
author = {S. J. Schreiber},
title = {Host-parasitoid dynamics of a generalized Thompson model},
journal = {J. Math. Biol.},
year = {2006},
volume = {52},
pages = {719--732}
}
|
| Schreiber, S.J. (2006), "Persistence despite perturbations for interacting populations", Journal of Theoretical Biology. Vol. 242, pp. 844-52. [BibTeX] [PDF] |
BibTeX:
@article{jtb-06,
author = {S. J. Schreiber},
title = {Persistence despite perturbations for interacting populations},
journal = {Journal of Theoretical Biology},
year = {2006},
volume = {242},
pages = {844-52}
}
|
| Schreiber, S.J., Lipcius, R., Seitz, R. & Long, C. (2006), "Dancing between the devil and the deep blue sea: The stabilizing effect of enemy-free sinks and victimless sinks", Oikos. Vol. 113, pp. 67-81. [Abstract] [BibTeX] [PDF] |
| Abstract: Theoretical and empirical studies have shown that enemy-victim interactions in spatially homogenous environments can exhibit diverging oscillations which result in the extinction of one or both species. For enemy-victim models with overlapping generations, we investigate the dynamical implications of spatial heterogeneity created by enemy-free sinks or victimless sinks. An enemy-free sink is a behavioral, physiological or ecological state that reduces or eliminates the victim's vulnerability to the enemy but cannot sustain the victim population. For victims that move in an ideal-free manner, we prove that the inclusion of an enemy-free sink shifts the population dynamics from diverging oscillations to stable oscillations. During these stable oscillations, the victim disperses in an oscillatory manner between the enemy-free sink and the enemy-occupied patch. Enemy-free sinks with lower mortality rates exhibit oscillations with smaller amplitudes and longer periods. A victimless sink, on the other hand, is a behavioral, physiological or ecological state in which the enemy has limited (or no) access to its victims. For enemies that move in an ideal-free manner, we prove that victimless sinks also stabilize diverging oscillations. Simulations suggest that suboptimal behavior due to information gathering or learning limitations amplify oscillations for systems with enemy-free sinks and dampen oscillations for systems with victimless sinks. These results illustrate that the coupling of a sink created by unstable enemy-victim interactions and a sink created by unsuitable environmental conditions can result in population persistence at the landscape level. |
BibTeX:
@article{oikos-06,
author = {S. J. Schreiber and R. Lipcius and R. Seitz and C. Long},
title = {Dancing between the devil and the deep blue sea: The stabilizing effect of enemy-free sinks and victimless sinks},
journal = {Oikos},
year = {2006},
volume = {113},
pages = {67--81}
}
|
| Schreiber, S.J. & Vejdani, M. (2006), "Handling time promotes the coevolution of aggregation in predator-prey systems", Proceedings of the Royal Society: Biological Sciences. Vol. 273, pp. 185-191. [Abstract] [BibTeX] [PDF] |
| Abstract: Predators often have type II functional responses and live in environments where their life history traits as well as those of their prey vary from patch to patch. To understand how spatial heterogeneity and predator handling times influence the coevolution of patch preferences and ecological stability, we perform an ecological and evolutionary analysis of a Nicholson-Bailey type model. We prove that coevolutionarily stable prey and searching predators prefer patches that in isolation support higher prey and searching predator densities, respectively. Using this fact, we determine how environmental variation and predator handling times influence the spatial patterns of patch preferences, population abundances and per-capita predation rates. In particular, long predator handling times are shown to result in the coevolution of predator and prey aggregation. An analytic expression characterizing ecological stability of the coevolved populations is derived. This expression implies that contrary to traditional theoretical expectations, predator handling time can stabilize predator-prey interactions through its coevolutionary influence on patch preferences. These results are shown to have important implications for classical biological control. !! |
BibTeX:
@article{prsb-06,
author = {Schreiber, S. J. and M. Vejdani},
title = {Handling time promotes the coevolution of aggregation in predator-prey systems},
journal = {Proceedings of the Royal Society: Biological Sciences},
year = {2006},
volume = {273},
pages = {185-191}
}
|
| Keagy, J., Schreiber, S.J. & Cristol, D.A. (2005), "Replacing Sources with Sinks: When Do Populations Go Down the Drain?", Restoration Ecology. Vol. 13(3), pp. 529-535. [Abstract] [BibTeX] [PDF] |
| Abstract: Permits to destroy wetlands often require the creation of the same type of wetland elsewhere. An assumption underlying this practice is that such created wetlands will replace the ecological functions lost when the developed wetland was destroyed. Part of this ecological function is providing habitat for wildlife, including, in coastal areas, a suite of bird species tied to salt marshes for some portion of their life cycle. We tested the hypothesis that created wetlands provide habitat for the avian communities lost when wetlands are destroyed by comparing the breeding and wintering birds on 11 small created salt marshes with those on 11 natural reference salt marshes that were carefully matched for size and surrounding land cover. We found that, during the breeding season, created salt marshes had lower avian abundance and richness than reference salt marshes. In particular, wetland-dependent species were poorly represented on created wetlands. On the other hand, bird use outside of the breeding season and use by an important salt marsh obligate species, the clapper rail (Rallus longirostris), did not differ. Created wetlands that we surveyed failed to completely replicate the bird and plant communities that we observed on nearby natural reference salt marshes, raising the question of whether current mitigation policies that encourage wetland creation should continue without further investigation into the success of such wetlands at recreating wildlife habitat. |
BibTeX:
@article{restoration-05,
author = {J. Keagy and S. J. Schreiber and D. A. Cristol},
title = {Replacing Sources with Sinks: When Do Populations Go Down the Drain?},
journal = {Restoration Ecology},
year = {2005},
volume = {13},
number = {3},
pages = {529-535}
}
|
| Lloyd-Smith, J., Schreiber, S.J., Kopp, P.E. & Getz, W.M. (2005), "Superspreading and the impact of individual variation on disease emergence", Nature. , pp. 355-359. [Abstract] [BibTeX] [PDF] |
| Abstract: Population-level analyses often use average quantities to describe heterogeneous systems, particularly when variation does not arise from identifiable groups. A prominent example, central to our current understanding of epidemic spread, is the basic reproductive number, R0, which is defined as the mean number of infections caused by an infected individual in a susceptible population. Population estimates of R0 can obscure considerable individual variation in infectiousness, as highlighted during the global emergence of severe acute respiratory syndrome (SARS) by numerous `superspreading events' in which certain individuals infected unusually large numbers of secondary cases. For diseases transmitted by non-sexual direct contacts, such as SARS or smallpox, individual variation is difficult to measure empirically, and thus its importance for outbreak dynamics has been unclear. Here we present an integrated theoretical and statistical analysis of the influence of individual variation in infectiousness on disease emergence. Using contact tracing data from eight directly transmitted diseases, we show that the distribution of individual infectiousness around R0 is often highly skewed. Model predictions accounting for this variation differ sharply from average-based approaches, with disease extinction more likely and outbreaks rarer but more explosive. Using these models, we explore implications for outbreak control, showing that individual-specific control measures outperform population-wide measures. Moreover, the dramatic improvements achieved through targeted control policies emphasize the need to identify predictive correlates of higher infectiousness. Our findings indicate that superspreading is a normal feature of disease spread, and to frame ongoing discussion we propose a rigorous definition for superspreading events and a method to predict their frequency. !! |
BibTeX:
@article{nature-05,
author = {J. Lloyd-Smith and S. J. Schreiber and P. E. Kopp and W. M. Getz},
title = {Superspreading and the impact of individual variation on disease emergence},
journal = {Nature},
year = {2005},
pages = {355--359}
}
|
| Ruggieri, E. & Schreiber, S.J. (2005), "The dynamics of the Schoener-Polis-Holt model of intra-guild predation", Math. Biosci. Eng.. Vol. 2(2), pp. 279-288. [BibTeX] [PDF] |
BibTeX:
@article{mbe-05,
author = {E. Ruggieri and S. J. Schreiber},
title = {The dynamics of the Schoener-Polis-Holt model of intra-guild predation},
journal = {Math. Biosci. Eng.},
year = {2005},
volume = {2},
number = {2},
pages = {279--288}
}
|
| Schreiber, S.J. & Kelton, M. (2005), "Sink habitats can alter ecological outcomes for competing species", Journal of Animal Ecology. Vol. 74(6), pp. 995-1004. [BibTeX] [DOI] [URL] [PDF] |
BibTeX:
@article{jae-05,
author = {S. J. Schreiber and M. Kelton},
title = {Sink habitats can alter ecological outcomes for competing species},
journal = {Journal of Animal Ecology},
year = {2005},
volume = {74},
number = {6},
pages = {995-1004},
url = {http://www.blackwell-synergy.com/doi/abs/10.1111/j.1365-2656.2005.00996.x},
doi = {http://dx.doi.org/10.1111/j.1365-2656.2005.00996.x}
}
|
| Benam, M., Schreiber, S.J. & Tarrés, P. (2004), "Generalized urn models of evolutionary processes", Annals of Applied Probability. Vol. 14, pp. 1455-1478. [Abstract] [BibTeX] [PDF] |
| Abstract: Generalized P—lya urn models can describe the dynamics of finite populations of interacting genotypes. Three basic questions these models can address are: Under what conditions does a population exhibit growth? On the event of growth, at what rate does the population increase? What is the long-term behavior of the distribution of genotypes? To address these questions, we associate a mean limit ordinary differential equation (ODE) with the urn model. Previously, it has been shown that on the event of population growth, the limiting distribution of genotypes is a connected internally chain recurrent set for the mean limit ODE. To determine when growth and convergence occurs with positive probability, we prove two results. First, if the mean limit ODE has an ÒattainableÓ attractor at which growth is expected, then growth and convergence toward this attractor occurs with positive probability. Second, the population distribution almost surely does not converge to sets where growth is not expected and almost surely does not converge to ÒnondegenerateÓ unstable equilibria or periodic orbits of the mean limit ODE. Applications to stochastic analogs of the replicator equations and fertility-selection equations of population genetics are given. !! |
BibTeX:
@article{aap-04,
author = {M. Benam and S. J. Schreiber and P. Tarrés},
title = {Generalized urn models of evolutionary processes},
journal = {Annals of Applied Probability},
year = {2004},
volume = {14},
pages = {1455--1478}
}
|
| Hofbauer, J. & Schreiber, S.J. (2004), "To persist or not to persist?", Nonlinearity. Vol. 17, pp. 1393-1406. [Abstract] [BibTeX] [PDF] |
| Abstract: Ecological vector fields dot x_i = x_if_i(x) on the non-negative cone bf R^n_+ on Rn are often used to describe the dynamics of n interacting species. These vector fields are called permanent (or uniformly persistent) if the boundary partial bf R^n_+ of the non-negative cone is repelling. We construct an open set of ecological vector fields containing a dense subset of permanent vector fields and containing a dense subset of vector fields with attractors on partial bf R^n_+ . In particular, this construction implies that robustly permanent vector fields are not dense in the space of permanent vector fields. Hence, verifying robust permanence is important. We illustrate this result with ecological vector fields involving five species that admit a heteroclinic cycle between two equilibria and the Hastings Powell teacup attractor. !! |
BibTeX:
@article{nonlinearity-04,
author = {Hofbauer, J. and Schreiber, S. J.},
title = {To persist or not to persist?},
journal = {Nonlinearity},
year = {2004},
volume = {17},
pages = {1393--1406}
}
|
| Schreiber, S.J. (2004), "Coexistence for species sharing a predator", Journal of Differential Equations. Vol. 196(1), pp. 209-225. [BibTeX] [PDF] |
BibTeX:
@article{jde-04,
author = {Schreiber, Sebastian J.},
title = {Coexistence for species sharing a predator},
journal = {Journal of Differential Equations},
year = {2004},
volume = {196},
number = {1},
pages = {209--225}
}
|
| Schreiber, S.J. (2004), "On Allee effects in structured populations", Proc. Amer. Math. Soc.. Vol. 132(10), pp. 3047-3053 (electronic). [BibTeX] [PDF] |
BibTeX:
@article{pams-04,
author = {S. J. Schreiber},
title = {On Allee effects in structured populations},
journal = {Proc. Amer. Math. Soc.},
year = {2004},
volume = {132},
number = {10},
pages = {3047--3053 (electronic)}
}
|
| Schreiber, S.J. & Rittenhouse, S. (2004), "From simple rules to cycling in community assembly", Oikos. Vol. 105, pp. 349-358. [BibTeX] [PDF] |
BibTeX:
@article{oikos-04,
author = {S. J. Schreiber and S. Rittenhouse},
title = {From simple rules to cycling in community assembly},
journal = {Oikos},
year = {2004},
volume = {105},
pages = {349--358}
}
|
| Schreiber, S.J. (2003), "Allee effects, chaotic transients, and unexpected extinctions", Theoretical Population Biology. [Abstract] [BibTeX] [PDF] |
| Abstract: Discrete time single species models with overcompensating density dependence and an Allee effect due to predator satiation and mating limitation are investigated. The models exhibit four behaviors: persistence for all initial population densities, bistability in which a population persists for intermediate initial densities and otherwise goes extinct, extinction for all initial densities, and essential extinction in which "almost every" initial density leads to extinction. For fast-growing populations, these models show populations can persist at high levels of predatimi even though lower levels of predation lead to essential extinction. Alternatively, increasing the predator's handling time, the population's carrying capacity, or the likelihood of mating success may lead to essential extinction. In each of these cases, the mechanism behind these disappearances are chaotic dynamics driving populations below a critical threshold determined by the Allee effect. These disappearances are proceeded by chaotic transients that are proven to be approximately exponentially distributed in length and highly sensitive to initial population densities.!! |
BibTeX:
@article{tpb-03,
author = {S. J. Schreiber},
title = {Allee effects, chaotic transients, and unexpected extinctions},
journal = {Theoretical Population Biology},
year = {2003}
}
|
| Schreiber, S.J. & Tobiason, G.A. (2003), "The evolution of resource use", J. Math. Biol.. Vol. 47(1), pp. 56-78. [Abstract] [BibTeX] [PDF] |
| Abstract: The evolution of a consumer exploiting two resources is investigated. The strategy x under selection represents the fraction of time or energy an individual invests into extracting the first resource. In the model, a dimensionless parameter alpha quantifies how simultaneous consumption of both resources influences consumer growth; alpha<0 corresponds to hemi-essential resources, 01 corresponds to antagonistic resources. An analysis of the ecological and evolutionary dynamics leads to five conclusions. First, when alpha< or =1, there is a unique singular strategy x* for the adaptive dynamics and it is evolutionarily stable and globally convergent stable. Second, when alpha=1, the singular strategy x* corresponds to the populations exhibiting an ideal free distribution and a population playing this strategy can invade and displace populations playing any other strategy. Third, when alpha>1, the strategies x=0 and x=1 are evolutionarily stable and convergent stable. Hence, if the populations initially specialize on one resource, evolution amplifies this specialization. Fourth, when alpha is slightly larger than one (i.e. the resources are slightly antagonistic), there is a convergent stable singular strategy whose basin of attraction is almost the entire strategy space (0,1). This singular strategy is evolutionarily unstable and serves as an evolutionary branching point. Following evolutionary branching, our analysis and numerical simulations suggest that evolutionary dynamics are driven toward an end state consisting of two populations specializing on different resources. Fifth, when alpha>>1, there is only one singular strategy and it is convergent unstable and evolutionarily unstable. Hence, if resources are overly antagonistic, evolutionary branching does not occur and ultimately only one resource is exploited. !! |
BibTeX:
@article{jmb-03,
author = {S. J. Schreiber and G. A. Tobiason},
title = {The evolution of resource use},
journal = {J. Math. Biol.},
year = {2003},
volume = {47},
number = {1},
pages = {56--78}
}
|
| Mierczyński, J. & Schreiber, S.J. (2002), "Kolmogorov vector fields with robustly permanent subsystems", Journal of Mathematical Analysis and Applications. Vol. 267(1), pp. 329-337. [BibTeX] [PDF] |
BibTeX:
@article{jmaa-02,
author = {Mierczyński, Janusz and S. J. Schreiber},
title = {Kolmogorov vector fields with robustly permanent subsystems},
journal = {Journal of Mathematical Analysis and Applications},
year = {2002},
volume = {267},
number = {1},
pages = {329--337}
}
|
| Schreiber, S., Fox, L. & Getz, W. (2002), "Parasitoid sex allocation affects coevolution of patch selection in host-parasitoid systems", Evolutionary Ecology Research. Vol. 4, pp. 701-718. [Abstract] [BibTeX] [PDF] |
| Abstract: Previously, we have show that the co-evolution of patch selection strategies of hosts and parasitoids in heterogeneous environments can lead to contrary habitat choices in which the hosts preferentially select patches that the parasitoids avoid. Since this work did not include the variable parasitoid sex ratios that have been found in field and laboratory systems with contrary choices, we extend previous analyses to determine how parasitoid sex allocation co-evolves with host and parasitoid patch preferences. In our analysis, we assume the environment consists of two patch types: lower quality patches and higher quality patches. In the lower quality patches, hosts have a lower intrinsic rate of growth and female parasitoid larvae are less likely to survive than male parasitoid larvae. Our co-evolutionary analysis reveals that the co-evolved parasitoids preferentially search for hosts in higher quality patches, lay primarily female eggs on hosts encountered in these patches, and are more likely to lay male eggs on hosts encountered in the lower quality patches. As a co-evolutionary response, the hosts lay twice as many eggs in the poorer patches as they would if parasitoid sex ratios did not evolve. We conclude by showing that the co-evolution of parasitoid sex allocation with patch selection can stabilize host-parasitoid interactions even when co-evolution of patch selection by itself does not.!! |
BibTeX:
@article{eer-02,
author = {S.J. Schreiber and L.R. Fox and W.M. Getz},
title = {Parasitoid sex allocation affects coevolution of patch selection in host-parasitoid systems},
journal = {Evolutionary Ecology Research},
year = {2002},
volume = {4},
pages = {701-718}
}
|
| Schreiber, S.J. (2002), "Permanence of weakly coupled vector fields", SIAM J. Math. Anal.. Vol. 33(5), pp. 1048-1057 (electronic). [BibTeX] [PDF] |
BibTeX:
@article{sima-02,
author = {Schreiber, Sebastian J.},
title = {Permanence of weakly coupled vector fields},
journal = {SIAM J. Math. Anal.},
year = {2002},
volume = {33},
number = {5},
pages = {1048--1057 (electronic)}
}
|
| Schreiber, S., Mills, N. & Gutierrez, A. (2001), "Host-limited dynamics of autoparasitoids", Journal of Theoretical Biology. Vol. 212, pp. 141-153. [BibTeX] [PDF] |
BibTeX:
@article{schreiber-etal-01,
author = {Schreiber, S.J. and Mills, N.J. and Gutierrez, A.P.},
title = {Host-limited dynamics of autoparasitoids},
journal = {Journal of Theoretical Biology},
year = {2001},
volume = {212},
pages = {141-153}
}
|
| Schreiber, S.J. (2001), "Chaos and Sudden Extinction in Simple Ecological Models", Journal of Mathematical Biology. Vol. 42, pp. 239-260. [BibTeX] [PDF] |
BibTeX:
@article{jmb-01,
author = {S. J. Schreiber},
title = {Chaos and Sudden Extinction in Simple Ecological Models},
journal = {Journal of Mathematical Biology},
year = {2001},
volume = {42},
pages = {239--260}
}
|
| Schreiber, S.J. (2001), "Urn models, replicator processes, and random genetic drift", SIAM Journal of Applied Mathematics. Vol. 61(6), pp. 2148-2167 (electronic). [BibTeX] [PDF] |
BibTeX:
@article{siap-01,
author = {Schreiber, S. J.},
title = {Urn models, replicator processes, and random genetic drift},
journal = {SIAM Journal of Applied Mathematics},
year = {2001},
volume = {61},
number = {6},
pages = {2148--2167 (electronic)}
}
|
| Benam, M. & Schreiber, S.J. (2000), "Ergodic properties of weak asymptotic pseudotrajectores for semiflows", Journal of Dynamics and Differential Equations. Vol. 12, pp. 579-598. [BibTeX] [PDF] |
BibTeX:
@article{jdde-00,
author = {M. Benam and S. J. Schreiber},
title = {Ergodic properties of weak asymptotic pseudotrajectores for semiflows},
journal = {Journal of Dynamics and Differential Equations},
year = {2000},
volume = {12},
pages = {579--598}
}
|
| Eisenberg, J.N.S., Washburn, J.O. & Schreiber, S.J. (2000), "The generalist feeding behaviors of Aedes sierrensis larvae and their effects on protozoan populations", Ecology. Vol. 81, pp. 921-935. [BibTeX] [PDF] |
BibTeX:
@article{ecology-00,
author = {J. N. S. Eisenberg and J. O. Washburn and S. J. Schreiber},
title = {The generalist feeding behaviors of Aedes sierrensis larvae and their effects on protozoan populations},
journal = {Ecology},
year = {2000},
volume = {81},
pages = {921-935}
}
|
| Schreiber, S.J. (2000), "Criteria for $C^r$ robust permanence", Journal of Differential Equations. , pp. 400-426. [Abstract] [BibTeX] [PDF] |
| Abstract: !! |
BibTeX:
@article{jde-00,
author = {S. J. Schreiber},
title = {Criteria for $C^r$ robust permanence},
journal = {Journal of Differential Equations},
year = {2000},
pages = {400--426}
}
|
| Schreiber, S.J., Fox, L.R. & Getz, W.M. (2000), "Coevolution of contrary choices in host-parasitoid systems", American Naturalist. , pp. 637-648. [BibTeX] [PDF] |
BibTeX:
@article{amnat-00,
author = {S. J. Schreiber and L. R. Fox and W. M. Getz},
title = {Coevolution of contrary choices in host-parasitoid systems},
journal = {American Naturalist},
year = {2000},
pages = {637--648}
}
|
| Getz, W.M. & Schreiber, S.J. (1999), "Multiple time scales in consumer-resource interactions", Annales Zooligici Fennici. Vol. 36, pp. 11-20. [BibTeX] [PDF] |
BibTeX:
@article{azf-99,
author = {W. M. Getz and S. J. Schreiber},
title = {Multiple time scales in consumer-resource interactions},
journal = {Annales Zooligici Fennici},
year = {1999},
volume = {36},
pages = {11--20}
}
|
| Schreiber, S.J. (1999), "Successional stability of vector fields in dimension three", Proceedings of the American Mathematical Soceity. Vol. 127, pp. 993-1002. [BibTeX] [PDF] |
BibTeX:
@article{pams-99,
author = {S. J. Schreiber},
title = {Successional stability of vector fields in dimension three},
journal = {Proceedings of the American Mathematical Soceity},
year = {1999},
volume = {127},
pages = {993--1002}
}
|
| Schreiber, S.J. & Gutierrez, A.P. (1999), "Insect invasions and community assembly", In Ecological Entomology. New York., pp. 425-462. John Wiley & Sons. |
BibTeX:
@inproceedings{book-99,
author = {S. J. Schreiber and A. P. Gutierrez},
title = {Insect invasions and community assembly},
booktitle = {Ecological Entomology},
publisher = {John Wiley & Sons},
year = {1999},
pages = {425-462}
}
|
| Regev, U., Gutierrez, A.P., Schreiber, S.J. & Zilberman, D. (1998), "Bio-economic foundations of renewable resource exploitation", Ecological Economics. Vol. 26, pp. 227-242. [BibTeX] [PDF] |
BibTeX:
@article{ecoecon-98,
author = {U. Regev and A. P. Gutierrez and S. J. Schreiber and D. Zilberman},
title = {Bio-economic foundations of renewable resource exploitation},
journal = {Ecological Economics},
year = {1998},
volume = {26},
pages = {227-242}
}
|
| Schreiber, S.J. (1998), "On the stabilizing effect of specialist predators on founder controlled communities", Canadian Applied Mathematical Quarterly. Vol. 6, pp. 1-12. [Abstract] [BibTeX] [PDF] |
| Abstract: We study a generalized model of 2n interacting species consisting of n competing prey and n predators, each of which feeds exclusively upon one of the prey species. Under the assumption that the prey community is founder-controlled (the positive equilibria determined by single prey species are asymptotically stable in prey phase space), it is shown that then predators can mediate uniform persistence when their mortality rates are sufficiently small. When this occurs, a repelling heteroclinic network on the boundary of the positive orthant is formed in which the removal of any predator leads to a system with a globally asymptotically stable equilibrium that only supports a single species.!! |
BibTeX:
@article{camq-98,
author = {S. J. Schreiber},
title = {On the stabilizing effect of specialist predators on founder controlled communities},
journal = {Canadian Applied Mathematical Quarterly},
year = {1998},
volume = {6},
pages = {1--12}
}
|
| Schreiber, S.J. (1998), "On growth rates of subadditive functions for semiflows", Journal of Differential Equations. Vol. 148, pp. 334-350. [BibTeX] [PDF] |
BibTeX:
@article{jde-98,
author = {S. J. Schreiber},
title = {On growth rates of subadditive functions for semiflows},
journal = {Journal of Differential Equations},
year = {1998},
volume = {148},
pages = {334--350}
}
|
| Schreiber, S.J. & Gutierrez, A.P. (1998), "A supply-demand perspective of species invasions: Applications to biological control", Ecological Modelling. Vol. 106, pp. 27-45. [BibTeX] |
BibTeX:
@article{ecomod-98,
author = {S. J. Schreiber and A. P. Gutierrez},
title = {A supply-demand perspective of species invasions: Applications to biological control},
journal = {Ecological Modelling},
year = {1998},
volume = {106},
pages = {27--45}
}
|
| Schreiber, S.J. (1997), "Expansion rates and Lyapunov exponents", Discrete and Continous Dynamical Systems. Vol. 3, pp. 433-438. [BibTeX] [PDF] |
BibTeX:
@article{dcds-97,
author = {S. J. Schreiber},
title = {Expansion rates and Lyapunov exponents},
journal = {Discrete and Continous Dynamical Systems},
year = {1997},
volume = {3},
pages = {433--438}
}
|
| Schreiber, S.J. (1997), "Gerneralist and specialist predators that mediate permanence in ecological communities", Journal of Mathematical Biology. Vol. 36, pp. 133-148. [BibTeX] [PDF] |
BibTeX:
@article{jmb-97,
author = {S. J. Schreiber},
title = {Gerneralist and specialist predators that mediate permanence in ecological communities},
journal = {Journal of Mathematical Biology},
year = {1997},
volume = {36},
pages = {133--148}
}
|
| Schreiber, S.J. (1996), "Global stability in consumer-resource cascades", Journal of Mathematical Biology. Vol. 35, pp. 37-48. [BibTeX] [PDF] |
BibTeX:
@article{jmb-96,
author = {S. J. Schreiber},
title = {Global stability in consumer-resource cascades},
journal = {Journal of Mathematical Biology},
year = {1996},
volume = {35},
pages = {37--48}
}
|
| Schreiber, S.J. (1995), "Non-uniformly hyperbolic dynamics". School: University of California, Berkeley. [BibTeX] |
BibTeX:
@phdthesis{schreiber-95,
author = {S. J. Schreiber},
title = {Non-uniformly hyperbolic dynamics},
school = {University of California, Berkeley},
year = {1995}
}
|
| Gutierrez, A.P., Mills, N.J., Schreiber, S.J. & Ellis, C.K. (1994), "A phsysiologically based tritrophic perspective on bottom-up top-down regulation of populations", Ecology. Vol. 75, pp. 2227-2242. [BibTeX] |
https://blog.sciencenet.cn/blog-4367-223952.html
上一篇：Nature杂志与中国科学家
