Premium
I σ ‐Index, a measure of dispersion of individuals
Author(s) -
Morisita Masaaki
Publication year - 1962
Publication title -
population ecology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.819
H-Index - 59
eISSN - 1438-390X
pISSN - 1438-3896
DOI - 10.1007/bf02533903
Subject(s) - index of dispersion , negative binomial distribution , dispersion (optics) , index (typography) , statistics , distribution (mathematics) , range (aeronautics) , binomial distribution , sample (material) , mathematics , measure (data warehouse) , population , biology , econometrics , demography , mathematical analysis , physics , computer science , optics , poisson distribution , materials science , thermodynamics , database , sociology , world wide web , composite material , poisson regression
Conclusion and summary As the I σ ‐index is neither affected by the mean per sample unit except for regular distribution nor standing on the assumption of any definite type of contagious distribution, it may have the most wide range of application among the ones hitherto deviced for measuring the dispersion of individuals in a population. The relations of the I σ ‐index to V / x ¯ , k of negative binomial distribution and N of binomial distribution as well as the new dispersion index, I B , given in this paper may serve, if necessary, for the analysis of data in the ecological works.