scholarly journals Statistical analysis of the phytocoenose homogeneity. II. Species frequency distribution and frequency distribution of the standing biomass as a function of the area size

2014 ◽  
Vol 54 (4) ◽  
pp. 465-475
Author(s):  
Anna J. Kwiatkowska ◽  
Ewa Symonides

Homogeneity of the <em>Leucobryo-Pineium</em> phytocoenose was assessed on the grounds of the species frequency distribution and frequency distributions of the total ground-layer biomass and those of individual species. It was confirmed that: 1) species frequency distribution and frequency distribution of biomass, as well as their statistical characteristics depended on the area size and 2) for analysed phytocoenose the area at which frequency distributions of both measures were symmetrical could be determined. The studies showed that phytocoenose homogeneity was related only to the definite area size, i.e. to the definite scale of its spatial differentiation.

2014 ◽  
Vol 53 (1) ◽  
pp. 87-98
Author(s):  
Anna J. Kwiatkowska

Paper deals with the results of statistical analysis of the type of frequency distribution of species occuring in the field layers of two forest phytocoenoses. In the both cases frequency distributions were ranged out for the surface area of 1, 2, 4, 8, 16, 32 and 64 m<sup>2</sup>. The types of frequency distributions were determined on the grounds of the values of Fisher's and Pearson's K coefficients. Analysed distributions were classified into Pearson's system. Also the size of the sample plot at which the empirical frequency distributions were symetrical, from the statistical point of view, nad where they were U-shaped was determined.


2014 ◽  
Vol 54 (4) ◽  
pp. 511-521 ◽  
Author(s):  
Anna J. Kwiatkowska ◽  
Ewa Symonidis

Homogeneity of the <em>Leucobryo-Pinetum</em> phytocoenose was assessed on the grounds of the type of frequency distributions of similarity and Euclidean distance coefficients. It was confirmed that: 1) the type of frequency distributions of similarity and distance coefficients, as well as values of their statistical characteristics depended on the area size; 2) for analysed phytocoenose the area size at which frequency distributions of both coefficients were symmetrical, i.e., fitted the normal distribution, could be determined; 3) at the same time such area determined the scale of spatial differentiation of the phytocoenose under which it was homogeneous.


2014 ◽  
Vol 54 (4) ◽  
pp. 493-509 ◽  
Author(s):  
Anna J. Kwiatkowska ◽  
Ewa Symonidis

Homogeneity of the <em>Leocobryo-Pineturn</em> phytocoenose was assessed on the grounds of the effect of area size on the species number and mean biomass value. It was confirmed that: I) species number was a logarithmic function of the area size; 2) relation of individual species biomass to the area size was, as a rule, other than rectilinear, 3) the size of phytocoenose floristicly representative area differed from that determined with respect to the standing biomass and 4) phytocoenose homogeneity is related to the scale defined by the size of representative area.


2021 ◽  
Vol 270 ◽  
pp. 01038
Author(s):  
Andrei Zenkov ◽  
Eugene Zenkov ◽  
Miroslav Zenkov ◽  
Larisa Sazanova

Two approaches to the statistical analysis of texts are suggested, both based on the study of numerals occurrence in coherent texts. The first approach is related to the study of the frequency distribution of various leading digits of numerals occurring in the text. These frequencies are unequal: the digit 1 is strongly dominating; usually, the incidence of subsequent digits is monotonically decreasing. The frequencies of occurrence of the digit 1, as well as, to a lesser extent, the digits 2 and 3, are usually a characteristic author’s style feature, manifested in all (sufficiently long) texts of any author. This approach is convenient for testing whether a group of texts has common authorship: the latter is dubious if the frequency distributions are sufficiently different. The second approach is the extension of the first one and requires the study of the frequency distribution of numerals themselves (not their leading digits). The approach yields non-trivial information about the author, stylistic and genre peculiarities of the texts and is suited for the advanced discourse analysis. This paper deals with the application of the second approach to the literary texts in Turkish. We have analysed almost the whole corpus of works by are illustrated by examples of computer analysis of the literary texts by O. Pamuk and Y. Kemal – two of Turkey’s most prominent novelists. The hierarchical cluster analysis based on the occurrence of numerals in the texts by Pamuk and Kemal shows the author, genre, and chronology differences of numerals usage in the literary texts of these authors.


Stats ◽  
2021 ◽  
Vol 4 (4) ◽  
pp. 1051-1068
Author(s):  
Andrei V. Zenkov

We suggest two approaches to the statistical analysis of texts, both based on the study of numerals occurrence in literary texts. The first approach is related to Benford’s Law and the analysis of the frequency distribution of various leading digits of numerals contained in the text. In coherent literary texts, the share of the leading digit 1 is even larger than prescribed by Benford’s Law and can reach 50 percent. The frequencies of occurrence of the digit 1, as well as, to a lesser extent, the digits 2 and 3, are usually a characteristic the author’s style feature, manifested in all (sufficiently long) literary texts of any author. This approach is convenient for testing whether a group of texts has common authorship: the latter is dubious if the frequency distributions are sufficiently different. The second approach is the extension of the first one and requires the study of the frequency distribution of numerals themselves (not their leading digits). The approach yields non-trivial information about the author, stylistic and genre peculiarities of the texts and is suited for the advanced stylometric analysis. The proposed approaches are illustrated by examples of computer analysis of the literary texts in English and Russian.


2014 ◽  
Vol 54 (4) ◽  
pp. 477-491 ◽  
Author(s):  
Anna J. Kwiatkowska ◽  
Ewa Symonides

Homogeneity of the <em>Lcucobryo-Pineium</em> phytocoenose was assessed on the grounds of species dispersal and spatial distribution of their biomass, determined with non-parametric runs test. It was confirmed that: 1) species dispersal and the type of spatial distribution of their biomass depended on the area size, 2) for analysed phytocoenose the area at which species dispersal and spatial sequence of the high and low standing biomass were random could be determined, 3) phytocoenose was homogeneous only under the difinite scale of its spatial differentiation, and 4) scale under which phytocoenose was homogenenous differed for qualitative and quantitative measures.


2014 ◽  
Vol 55 (1) ◽  
pp. 129-140
Author(s):  
Anna J. Kwiatkowska ◽  
Ewa Symonides

Homogeneity of the <em>Leucobryo-Pinetum</em> phytocoenose was assessed on the grounds of the agreement of frequency distributions of the total species diversity (A) and evenness (e) indices with the normal distribution. It was confirmed that: 1) empirical frequency distributions of H and e fitted the normal distribution only at some quadrat sizes; 2) values of mean, standard deviation and coefficient of variation were non-linear functions of the area size; 3) mean H and e values calculated for small quadrats (1 and 2 m<sup>2</sup>) differed from those calculated for average (4 and 8 m<sup>2</sup>) and large (16 and 32 m<sup>2</sup>) quadrats: 4) the area size at which frequency distributions of both indices were symmetrical determined the scale of spatial differentiation of the phytocoenose, under which it was homogeneous.


2002 ◽  
Vol 59 (6) ◽  
pp. 1032-1043 ◽  
Author(s):  
J A.E van Oostenbrugge ◽  
E J Bakker ◽  
W L.T van Densen ◽  
M A.M Machiels ◽  
P A.M van Zwieten

Exploiting several fish species simultaneously reduces variability in daily catches. The reduction depends on the number of species, the catch-frequency distributions of individual species, and the level of co-occurrence of species in the catch. We explore theoretically the reduction of variability (coefficient of variation; CV) in the total catch by combining the distributions of daily catches of individual fish species, including zero catches, into a total catch frequency distribution. Theoretical findings are tested with an example from a stationary lift-net fishery for schooling small pelagic species around Ambon Island in the Central Moluccas, Indonesia. This fishery catches over 30 species, all with high daily variability (CV = 2.2–13.4). The reduction of variability in the total catch (CV = 1.7) is a result of the dominance and independent occurrence of the three main species. We conclude that in this fishery the information value of the total catch as an indicator of the catches of the individual species is low.


2021 ◽  
Vol 93 ◽  
pp. 03026
Author(s):  
Andrei Zenkov ◽  
Eugene Zenkov ◽  
Ansgar Belke

Two approaches to the statistical analysis of texts are suggested, both based on the study of numerals occurring in literary texts. The first approach is related to the study of the frequency distribution of various leading digits of numerals occurring in the text. This approach is convenient for testing whether a group of texts has common authorship: the latter is dubious if the frequency distributions are sufficiently different. The second approach requires the study of the frequencies of numerals themselves. The approach yields information about the author, stylistic and genre peculiarities of the texts and is suited for advanced study of authorial texts. The hypothesis that I. Ilf and E. Petrov are fake authors of novels "The Twelve Chairs" and "The Little Golden Calf", and they were ghosted by M. Bulgakov, is checked. The frequency distribution of numerals, as well as its cluster analysis, do not confirm this hypothesis.


2020 ◽  
Author(s):  
Riska Nurhapsari Santoso ◽  
Yudis Satrio Utomo ◽  
Yuliani Luturmasse

Abstract - Statistics is a framework of theories and methods that have been developed to collect, analyze, and write sample data in order to obtain useful conclusions. Statistics is the science of ways of collecting, classifying, analyzing, and searching for information related to the collection of data that investigations and conclusions based on evidence in the form of figures.Based on the results of the study can be concluded as follows: the size of the symptoms of the data center has not been grouped is the data compiled into the frequency distribution so that it does not have class intervals and midpoints of the class. Symptom Size Un-Grouped Data Center The size of the data center included in the statistical analysis is the calculated average (mean), median, mode, and fractil (quartile, decile, percentile)


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