Aggregation of Sampling Units: An Analytical Solution to Predict Variance

Geographical variables generally show spatially structured patterns corresponding to intrinsic characteristics of the environment. The size of the sampling unit has a critical effect on our perception of phenomena and is closely related to the variance and correlation structure of the data. Geostatistical theory uses analytical relationships for change of support (change of sampling unit size), allowing prediction of the variance and autocorrelation structure that would be observed if a survey was conducted using different sampling unit sizes. To check the geostatistical predictions, we use a test case about tree density in the tropical rain forest of the Pasoh Reserve, Malaysia. This data set contains exhaustive information about individual tree locations, so it allows us to simulate and compare various sampling designs. The original data set was reorganized to compute tree densities for 5 times 5-, 10 times 10-, and 20 times 20-meter quadrat sizes. Based upon the 5 times 5-meter data set, the spatial structure is modeled using a nugget effect (white noise) plus an exponential model. The change of support relationships, using within-quadrat variances inferred from the variogram model, predict the spatial autocorrelation structure and new variances corresponding to 10 times 10-meter and 20 times 20-meter quadrats. The theoretical and empirical results agreed closely, whereas neglecting the autocorrelation structure would have led to largely underestimating the variance. As the quadrat size increases, the range of autocorrelation increases, while the variance and the proportion of noise in the data decrease.     

Windward Sailing Capabilities of Ancient Vessels

Weatherliness is widely considered to have been an important ability for ancient sailing vessels, yet little firm experimental or theoretical data on the matter is available. However, by drawing on a variety of sources of model-test data and trials of full-scale replicas, it is possible to establish a general picture of what might have been possible. It appears that while ancient sailing vessels may have been capable of modest windward performance in moderate conditions and with a freshly-cleaned hull, this capability quickly disappeared as the hull became fouled and/or the wind and sea conditions deteriorated.
© 2008 The Author     

Book reviews‐comptes rendus

Peter GARNSEY & Richard SALLER, L'Empire romain. Economie, société, culture, Paris, La Découverte / Textes à l'appui, 1994.

Morris SLAVIN, The Hébertistes to the Guillotine: anatomy of a ‘conspiracy’ in Revolutionary France, Louisiana State University Press, Baton Rouge and London, 1994, xvii + 280 p., ISBN 0–8071–1838–9.

Philippe BURRIN, La France à l'heure allemande, 1940–1944, Paris, Editions du Seuil, 1995.

Emmanuel LE ROY LADURIE, Le siècle des Platter 1499–1628, t.1 “Le mendiant et le professeur”, Paris, Fayard, 1995, 529 p., 170 FF., ISBN 2–213–01444–2.     

Internal oxidation of cast iron artifacts from an 18th-century steel cementation furnace

Heavily corroded metal artifacts recovered from the site of an 18th-century steel cementation furnace in Trenton, New Jersey, are cast iron altered by internal oxidation. The progress of the internal oxidation process was followed by comparison with the microstructure of cast iron exposed to high temperature in a wood-burning fireplace. The graphite flake structure of the cast iron allows deep, rapid penetration of oxygen that reacts at the iron–carbon interfaces within the iron to form iron oxides that eventually replace the graphite flakes. Microprobe analyses show that the silicon in the cast iron is converted to knebelite that also serves as the host for phosphorus. Sulfur dispersed in the internal oxidation product and porosity appear to be responsible for rapid rusting of the artifacts. Internal nitriding accompanies the oxidation. The Trenton artifacts are interpreted as grate bars from the fire box of a cementation furnace.     

Lawrence A. Babb and Susan S. Wadley,eds., Media and the Transformation of Religion in South Asia

Indo-Iranian Journal -