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Uwarunkowania stosowania miar ilościowych w geografii fizycznej = The acceptability of application quantitative measures in physical geography

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Abstract
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It is the quantitative paradigm that prevails in science today, but this is not a purely positive phenomenon, since what seems to be the exact expression of research results is only in fact a guise of absolute objectivity. Effect is given to the laws of nature in space whose structure is not fully known, but certainly heterogeneous, and hence different from the assumptions contained in most mathematical formulae. Indeed, most procedures contain an implicit assumption regarding the homogeneity of space, while the real-life problems relating to the impact of spatial heterogeneity can be seen especially where all kinds of spatial interpolations are applied. Due to heterogeneity of space, seasonality and polygeneticism, natural phenomena are usually characterized by multimodal (multi-peak) distributions of observed variables. Estimation of the mean states from such distributions expressed in terms of the arithmetic mean are inappropriate and in opposition to the basic property of the landscape that is regional differentiation (given that states accepted as representative may in fact be those occurring only rarely or actually precluded in nature). The aim of the work detailed here has therefore been to point out the dangers of undue trust being put in quantitative methods. The essence of progress in science is an increased scope of understanding of phenomena, not the level of detail at which they are described. Without an awareness of the properties of a structure under examination, statistical expressions do not lead to understanding of the principles by which that structure functions. Natural phenomena most often have a log-normal distribution and are polygenetic. A further key problem noted in the initial stages of research therefore relates to proper sampling. Attention is also drawn here to the variability of conditions and states represented by environmental samples, which makes it necessary to use weighted means (especially important where the cycling of matter is being investigated). The article exemplifies problems related to the use of quantitative methods in physical geography, especially in the context of the use of the commonest statistical measures. Apart from the criticism regarding the incautious use of statistical tools, an indication is also given of certain possibilities for statistical measures to be reinterpreted following division of data into subgroups representing specific fragments of space or categories of phenomena. Genetic explanations in a collection of chaotic data are provided for in this way.

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  • Oct 17, 2012
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Drought is a natural and worldwide phenomenon that occurs when water availability is significantly below normal levels during a significant period of time and cannot meet demand. This work focused on the hydrologic drought defined by the streamflow drought index (SDI) for overlapping periods of 3, 6, 9 and 12 months at 14 hydrometric stations in the northwest of Iran over the period 1975–2009. It was found that some of the streamflow volume series did not follow the normal distribution. The ability of the log-normal, exponential and uniform probability distributions was examined in order to choose the most suitable distribution, and the log-normal distribution was used to fit the long-term streamflow data. The results of the hydrological drought analysis based on the SDI showed that almost all the stations suffered from extreme droughts during the study period. Additionally, extreme droughts occurred most frequently in the last 12 years from 1997–1998 to 2008–2009.

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