Determination of the Optimum Sampling Intervals in Sediment Pore Waters Using the Autocovariance Function

An approach to scaling that has found considerable utility inthe field of physical oceanography is based on theauto-covariance function (ACF). It is demonstrated to alsobe useful in determining the characteristic length scale of thedominant variance of dissolved sulfide and ferrous iron inanoxic pore waters. The method begins with the analysisof a data series in which the measurement sampling intervalis smaller than the expected length scales. A least squarespolynomial fit to the data representing a background field isthen removed from the data series making possible the analysisof the variability superimposed on the background field. Thecharacteristic length scale is then defined as the distancein which the measurements become uncorrelated. This usuallyoccurs at a significance-level or zero-crossing of the ACF.Characteristic lengths obtained for sediments from a varietyof coastal environments are not distinguishable betweensecond and third order polynomial fits with average valuesand standard deviations of, respectively, 7.0 ± 2.7 mm and6.1 ± 2.3 mm. These values are close to the typical burrowdiameter of 7.5 mm used by Aller (1978) in his bioirrigationmodel for sediment diagenesis. These results indicate thatmacrofauna dwelling in the sediment are probably responsiblefor the variability, although in the seagrass meadow rhizomesmay also play a role.