Most small rodent populations in the world have fascinating population dynamics. In the
northern hemisphere, voles and lemmings tend to show population cycles with regular …

Highlights•A wealth of longitudinal data gives insights into microbial ecosystem dynamics.•
Longitudinal analysis can uncover periodicity, irregularities and alternative states.•Intrinsic …

Single-cell RNA sequencing (RNA-Seq) provides rich information about cell types and
states. However, it is difficult to capture rare dynamic processes, such as adult …

Identifying causal networks is important for effective policy and management
recommendations on climate, epidemiology, financial regulation, and much else. We …

It is well known that current equilibrium-based models fall short as predictive descriptions of
natural ecosystems, and particularly of fisheries systems that exhibit nonlinear dynamics. For …

Natural systems are often complex and dynamic (ie nonlinear), making them difficult to
understand using linear statistical approaches. Linear approaches are fundamentally based …

It is now clear that fished populations can fluctuate more than unharvested stocks. However,
it is not clear why. Here we distinguish among three major competing mechanisms for this …

Takens' theorem (1981) shows how lagged variables of a single time series can be used as
proxy variables to reconstruct an attractor for an underlying dynamic process. State space …

Recent developments in complex systems analysis have led to new techniques for detecting
causal relationships using relatively short time series, on the order of 30 sequential …

Phenology is the study of recurring biological events and its relationship to climate. Circular
statistics is an area of statistics not very much used by ecologists nor by other researchers …