Both biotic interactions and abiotic random forcing are crucial influences
on population dynamics. This frequently leads to roughly equal importance o
f deterministic and stochastic forces. The resulting tension between noise
and determinism makes ecological dynamics unique, with conceptual and metho
dological challenges distinctive from those in other dynamical systems. The
theory for stochastic, nonlinear ecological dynamics has been developed al
ongside methods to test models. A range of dynamical components has been co
nsidered-density dependence, environmental and demographic stochasticity, a
nd climatic forcing-as welt as their often complex interactions. We discuss
recent advances in understanding ecological dynamics and testing theory us
ing long-term data and review how dynamical forces interact to generate som
e central field and laboratory time series.