Hydrology: Basic Concepts and Challenges - Uncertainty in Hydrology - Treatment of Random Uncertainty in Computations

3 important questions on Hydrology: Basic Concepts and Challenges - Uncertainty in Hydrology - Treatment of Random Uncertainty in Computations

..What leads to systematic errors in computations?

Due to inherent tendencies for instrumentation or methods of observation to consistently record values that are on average higheror lower than the ''true'' values.

From what do random errors in computations result?

From unpredictable fluctuations in values obtained in a given measurement situation that are likely to be greater or less than the true value. The likelihood of random error is inversely reflected in the precision of a given measurement.

On which assumptions is the central theory of random errors, called the Gaussian theory of errors, based?

  1. The underlying processes generating the observed values are unchanged during the measurements.
  2. We are at least conceptually able to make a large number N of repeated measurements of a quantity x using the same methodology.
  3. Each measurement is subject to a number of sources of potentially compensating positive and negative random error.

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