We estimate the average amount of phosphorus in the soil of four Texas shri
mp ponds. Broad spatial trends in phosphorus levels are observed and the tr
end is qualitatively common to all four ponds. We calculate and estimate th
e bias and variance of the estimated mean, accounting for correlations amon
g the measurements. This was done for three different sampling designs and
several sampling rates for each design. Using spatial statistical technique
s, the diminishing utility of increased sampling is demonstrated tin terms
of variance) and the design with the lowest bias is identified. The similar
ities between the four ponds suggest that the results are applicable to sim
ilar ponds in Texas and elsewhere throughout the world.