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- M A T H E M A T I C A L M O D, E L, Robert A Desharnais, R F Costantino, J M Cushing, Shandelle M Henson +1 other
- 2001

We used small perturbations in adult numbers to control large fluctuations in the chaotic demographic dynamics of laboratory populations of the flour beetle Tribolium castaneum. A nonlinear mathematical model was used to identify a sensitive region of phase space where the addition of a few adult insects would result in a dampening of the life stage… (More)

It is unquestionably true that hierarchical models represent an order of magnitude increase in the scope and complexity of models for ecological data. The past decade has seen a tremendous expansion of applications of hierarchical models in ecology. The expansion was primarily due to the advent of the Bayesian computational methods. We congratulate the… (More)

- H Wiech, J Buchner, M Zimmermann, R Zimmermann, U Jakob, T Chappell +27 others
- 1997

Ssa proteins function in protein translocation into organelles and regulation of the heat shock response (2). Ssb1 and Ssb2 are 99% identical and are associated with translating ribosomes (17); ⌬ssb1 ⌬ssb2 cells are sensitive to cold and to certain translation-inhibiting drugs such as hygromycin B. Reduced numbers of polysomes, previously reported in ⌬ssb1… (More)

- Brian Dennis, Robert A Desharnais, J M Cushing, Shandelle M Henson, And R F Costantino

A defining hypothesis of theoretical ecology during the past century has been that population fluctuations might largely be explained by relatively low-dimensional, non-linear ecological interactions, provided such interactions could be correctly identified and modeled. The realization in recent decades that such nonlinear interactions might result in chaos… (More)

- Brian Dennis, Robert A Desharnais, J M Cushing, Shandelle M Henson, R F Costantino Dennis, B Desharnais +6 others
- 2003

An important component of the mathematical definition of chaos is sensitivity to initial conditions. Sensitivity to initial conditions is usually measured in a determinis-tic model by the dominant Lyapunov exponent (LE), with chaos indicated by a positive LE. The sensitivity measure has been extended to stochastic models; however , it is possible for the… (More)

- Jeffrey Edmunds, J M Cushing, R F Costantino, Shandelle M Henson, Brian Dennis, R A Desharnais
- 2003

1. In this journal 35 years ago, P. H. Leslie, T. Park and D. B. Mertz reported competitive exclusion data for two Tribolium species. It is less well-known that they also reported 'difficult to interpret' coexistence data. We suggest that the species exclusion and the species coexistence are consequences of a stable coexistence two-cycle in the presence of… (More)

- R F Costantino, Robert A Desharnais, J M Cushing, Brian Dennis, Shandelle M Henson, Aaron A King
- 2005

When observation and theory collide, scientists turn to carefully designed experiments for resolution. Their motivation is especially high in the case of biological systems, which are typically far too complex to be grasped by observation and theory alone. The best procedure, as in the rest of science, is first to simplify the system, then to hold it more… (More)

- Aaron A King, R F Costantino, J M Cushing, Shandelle M Henson, Robert A Desharnais, Brian Dennis
- Proceedings of the National Academy of Sciences…
- 2004

Mathematically, chaotic dynamics are not devoid of order but display episodes of near-cyclic temporal patterns. This is illustrated, in interesting ways, in the case of chaotic biological populations. Despite the individual nature of organisms and the noisy nature of biological time series, subtle temporal patterns have been detected. By using data drawn… (More)

- Robert A Desharnais, R F Costantino, J M Cushing, Shandelle M Henson, Brian Dennis, Aaron A King
- Ecology letters
- 2006

A scaling rule of ecological theory, accepted but lacking experimental confirmation, is that the magnitude of fluctuations in population densities due to demographic stochasticity scales inversely with the square root of population numbers. This supposition is based on analyses of models exhibiting exponential growth or stable equilibria. Using two… (More)

- Shandelle M Henson, Aaron A King, R F Costantino, J M Cushing, Brian Dennis, Robert A Desharnais
- Proceedings. Biological sciences / The Royal…
- 2003

Lattice effects in ecological time-series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time-series may require more than one deterministic model, especially when the dynamics… (More)