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The geometric levelling of the highest order has been the main method for many scientific and engineering tasks for more than 150 years. One of them is the monitoring of the recent vertical movements of the Earth-s crust. In order to understand the low of accumulation of the discrepancies in levelling lines, many investigators have planned and performed various experiments and analysis through the years. As a result, the systematic effects of many sources of measurement errors have been studied, and partly or full...

Precise levelling networks play an important role in the research of many scientific processes, e.g. the recent crustal movements, the change of ocean and sea levels, geoid or quasi-geoid, etc. Their appropriate adjustment goes through the choice of suitable weights, which have physical common sense and minimize the standard errors of the adjusted heights. The conventional weights are supposed to be inversely proportional to the length of levelling lines, due to the assumption that the accumulation of errors in th...