Due to the structuring forces and large-scale physical processes that shape
our biosphere, we often find that environmental and ecological data are ei
ther spatially or temporally-or both spatially and temporally-dependent. Wh
en these data are analyzed statistical techniques and models are frequently
applied that were developed for independent data. We describe some of the
detrimental consequences, such as inefficient parameter estimators, biased
hypothesis test results, and inaccurate predictions, of ignoring spatial an
d temporal data dependencies, and we cite an example of adverse statistical
results occurring when spatial dependencies were disregarded. We also disc
uss and recommend available techniques used to detect and model spatial and
temporal dependence including variograms, covariograms, autocorrelation an
d partial autocorrelation plots, geostatistical techniques, Gaussian autore
gressive models K functions, and ARIMA models, in environmental and ecologi
cal research to avoid the aforementioned difficulties.