Two methods of assessment of the effectiveness of sewage treatment plant operationwere presented in the paper: first one – with the use of the reliability theory, and second one, with the use of the statistical quality control process by means of control charts. The analysis was carried out in a sewage treatment plant located in the village of Rokiciny Podhalańskie. The sewage treatment plant works in the A2/O system. The evaluation of effectiveness of the sewage treatment was made for the following pollutants: BOD, ammonia nitrogen, total nitrogen and total phosphorus. The analysis showed the proper work of the sewage treatment plant for BOD and total phosphorus. The calculated reliability level were 93,3% and more than 99,9%. For total nitrogen the reliability level was lower: more than 46% for empirical distribution and more than 37% for normal distribution. This was caused by the character of inflow sewage. The analysis of control chart showed the stable work in reducting organic pollutants, and in spring and summer period unstable work for ammonia nitrogen and total phosphorus. Only once a disturb of process effectiveness of total nitrogen changes caused probably by inflow of storm water to the sewage system was observed. ...
The strength and character of spatial auto-correlation of the value of synthetic level of development of selected technical infrastructure elements functioning in rural areas in the swiętokrzyskie province. The synthetic indicator value was determined on the basis of Hellwig synthetic development measure. The research did not confirm the occurrence of spatial autocorrelation concerning the level of infrastructure development. ...
Spatial statistics is the newest branch of statistics dealing with an analysis of spatial data, and with further description and the investigation of spatial phe-nomena. The methodology of the investigations of spatial phenomena differs from the methodology of the classic statistics, although it was based on methods of clas-sic statistics.The explanation of phenomena considered in the time requires a look in one direction (the past -the future), meanwhile the explanation of phenomena con-sidered in the space requires glances in all directions simultaneously. The opinion of the spatial autocorrelation requires the knowledge on the degree and the speci-ficity of the spatial variety, consisting in differentiation the characteristics of indi-vidual places and geographical regions. The variety appears intensity and the di-rection of the formation of spatial processes. Considering the Tobler's rule [1970] called first right of geography, it can be supposed, that: „all objects are related with themselves, and strength these connections diminishes with the growth of the distance between them". Many of researchers signaled Tobler's rule in the inves-tigations of the multifunctional development of rural areas [Krakowiak-Bal 2005; Woźniak, Sikora 2005] and economic geography [Domański 1988]. ...
A characteristic feature of the phenomena occurring in the atmospheric air is the existence of autocorrelation. With tools geostatistics is possible to identify modeling and estimation of the state of contamination of the air. The phenomenon of autocorrelation shows that the results of measurements that are adjacent to each other in time and space are more alike than more distant measurements. The existence of autocorrelation time can be the basis for estimating the value of the measurement location. To study the autocorrelation time gas concentrations and aerosols used semivariance analysis. Knowledge of semivariance parameters allows you to use the best uncompressed linear estimation method which is kriging. The paper presents an example of application semivariance analysis of ambient air quality status for the area of the province. An evaluation of spatial and temporal autocorrelation in the Silesia province based on the basic parameters such as range of impact , and the effect of the threshold nuggets. The analysis results show the semivariance as a function of the linear relationship between distant the points and the degree of their similarity. The existence of spatial autocorrelation provides a basis for modeling and estimation using stochastic methods. ...
All uninterrupted time series of annual maximum flows of size at least 30 recorded in the period 1951-2016 in the Upper Vistula River catchment, were taken into trend analysis. Each of the 138 time series ended not earlier than in 2012. To estimate the trend, the nonparametric Theil-Kendall linear regression method was used. After removing the trend, lag-1 Kendall rank autocorrelation coefficient was calculated and, if the coefficient was significant at 5% level, was used to correct the variance of the Kendall S statistic which otherwise remained unchanged. Finally, the variance-corrected Mann-Kendall trend test was used, detecting 22 significant (at 5% level) linear trends of which only two were the effect of autocorrelation. All 138 significant and non-significant trends showed certain areal clustering clearly visible on the map of the catchment, which suggested dividing the area into three parts according the direction of trend and/or the number of statistically significant trends. Generally, the trends in the southern of the Upper Vistula River catchment are increasing, the opposite is true for the northern part. This finding does not concern the north-west part of the catchment where both kinds of trends are observed, which may be explained by strong anthropogenic influence. ...
