The objective of this paper is to show that the structure of the spatiotemporal continuum has important implications in practical stochastic hydrology (e.g., geostatistical analysis of hydrologic sites) and is not merely an abstract mathematical concept. We propose that the concept of physical geometry as a spatiotemporal continuum with properties that are empirically de®ned is important in hyd...

Stochastic process models are widely employed for analyzing spatiotemporal datasets in various scientific disciplines including, but not limited to, environmental monitoring, ecological systems, forestry, hydrology, meteorology, and public health. After inferring on a spatiotemporal process for a given dataset, inferential interest may turn to estimating rates of change, or gradients, over spac...

The ability to derive relationships between parts (granules) of a phenomenon that extends over space and time at different scales is essential in numerous application areas. Currently, the task of deriving a hierarchical decomposition of a spatiotemporal phenomenon relies on expert domain knowledge and is driven by a human operator. With the increased availability of spatiotemporal data this ap...

Comparison of the spatiotemporal information delivered by ganglion cells with human psychophysical performance may give insight to how retinal information is utilized by cortical mechanisms, and constrain models of spatiotemporal processing. Ganglion cells' responses were measured with drifting gratings of various spatial and temporal frequencies and contrasts. The spatiotemporal precision of c...

Theories of episodic memory have long hypothesized that recollection of a specific instance from one's life is mediated by recovery of a neural state of spatiotemporal context. This paper reviews recent theoretical advances in formal models of spatiotemporal context and a growing body of neurophysiological evidence from human imaging studies and animal work that neural populations in the hippoc...

We study the spatiotemporal dynamics of the underdamped Josephson junction series arrays (JJSA) which are globally coupled through a resistive shunting load and driven by an rf bias current. Clustering bifurcations are shown to appear. In particular, cluster-doubling induced period-doubling bifurcations and clustering induced spatiotemporal chaos are found. Furthermore, an interesting spatiotem...

We overview three major types of GIS-oriented spatiotemporal databases: (1) point-based, (2) region-based, and (3) constraint-based. We analyze the relationship among these spatiotemporal databases and show how they can be translated into each other. We illustrate the translations with an example from National Agricultural Statistics Service (NASS) databases. Finally, we also discuss the advant...

Optical metasurfaces are endowed with unparallel flexibility to manipulate the light field a subwavelength spatial resolution. Coupling materials strong optical nonlinearity may allow ultrafast spatiotemporal modulation. However, most demonstrated thus far linear devices. Here, we experimentally demonstrate simultaneous laser mode control using single-layer plasmonic metasurface strongly couple...