Upon hybridization of the 0.7 1.5 kb nascent DNA (test DNA) and similarly size sheared total DNA (reference DNA) to the tiling array, we observed a strong short-range autocorrelation among neighboring probes (Fraction 10 12, Fig. 1A), which was absent in the input\input hybridization (self-self, Fig. 1A).
Single pulse operation of the laser output is verified via long-range autocorrelation against bound pulse generation and RF spectral measurements (with up to 12 GHz) against regular multiple pulsing.
Indeed, the magnitude sequence of the global large earthquakes is not at all independent between them but possesses a long-range autocorrelations (Ogata and Abe, 1989).
The rate of growth in fluctuation magnitude across time-scales is indexed by the slope of this function (plotted on a log-log scale), known as the α-value, which is an index of long-range autocorrelations in time-series.
The range of autocorrelation between samples of bulk density was much shorter (39 and 51m).
The relationship between observed and predicted antigen levels was strongest when the estimated range of autocorrelation was within the home range size of a single fox.
In a post-MDA setting, the range of autocorrelation was found to be smaller, and more importantly perhaps, STH prevalence estimates were lower and closer to decision thresholds.
For example, one could use the Exponential or Gaussian covariance functions defined as: where a is the practical range of autocorrelation of the covariance models; that is the distance h at which the covariance function equals 0.05.
Although smaller geographic areas are likely to contain more similar prevalence levels (dependent on the range of autocorrelation), there is likely to be more heterogeneity within a geographic region that is far larger than the scale of spatial clustering.
The inverse-Wishart seemed appropriate since iterations series for each estimand did not suggest strong autocorrelations after 500 lags (range of autocorrelations: (−0.07, 0.09) and (−0.09, 0.09) respectively), and relative large effective sample sizes were obtained (ranges: (229, 391) and (173, 331) respectively).
The objectives were to understand how the spatial heterogeneity of species composition (beta diversity) varies in a structured landscape, and how the long-range spatial autocorrelation of plant species is affected by the spatial configuration of patches.
