Showing papers by "Robert R. Sokal published in 1995"

Biometery: The principles and practice of statistics in biological research

Abstract: 1. Introduction 2. Data in Biology 3. Computers and Data Analysis 4. Descriptive Statistics 5. Introduction to Probability Distributions 6. The Normal Probability Distribution 7. Hypothesis Testing and Interval Estimation 8. Introduction to Analysis of Variance 9. Single-Classification Analysis of Variance 10. Nested Analysis of Variance 11. Two-Way and Multiway Analysis of Variance 12. Statistical Power and Sample Size in the Analysis of Variance 13. Assumptions of Analysis of Variance 14. Linear Regression 15. Correlation 16. Multiple and Curvilinear Regression 17. Analysis of Frequencies 18. Meta-Analysis and Miscellaneous Methods

Indo‐European origins: A computer‐simulation test of five hypotheses

Abstract: Allele frequency distributions were generated by computer simulation of five models of microevolution in European populations. Genetic distances calculated from these distributions were compared with observed genetic distances among Indo-European speakers. The simulated models differ in complexity, but all incorporate random genetic drift and short-range gene flow (isolation by distance). The best correlations between observed and simulated data were obtained for two models where dispersal of Neolithic farmers from the Near East depends only on population growth. More complex models, where the timing of the farmers' expansion is constrained by archaeological time data, fail to account for a larger fraction of the observed genetic variation; this is also the case for a model including late Neolithic migrations from the Pontic steppes. The genetic structure of current populations speaking Indo-European languages seems therefore to largely reflect a Neolithic expansion. This is consistent with the hypothesis of a parallel spread of farming technologies and a proto-Indo-European language in the Neolithic. Allele-frequency gradients among Indo-European speakers may be due either to incomplete admixture between dispersing farmers, who presumably spoke proto-Indo-European, and pre-existing hunters and gatherers (as in the traditional demic diffusion hypothesis), or to founder effects during the farmers' dispersal. By contrast, successive migrational waves from the East, if any, do not seem to have had genetic consequences detectable by the present comparison of observed and simulated allele frequencies.

Origins of Indo-Europeans and the spread of agriculture in Europe: comparison of lexicostatistical and genetic evidence

Abstract: A series of tests was undertaken to relate lexicostatistical dissimilarities (LAN) among 48 Indo-European languages to distances representing various causal hypotheses. The comparison is limited to languages currently spoken in Europe. The putative causal distance matrices include (1) geographic (GEO) distances between the languages, (2) distances representing the origin of agriculture (OOA), (3) distances representing a model postulated by C. Renfrew (REN) concerning transformations that gave rise to the major Indo-European language families in Europe, and (4) distances representing a competing hypothesis by M. Gimbutas (GIM) concerning the origin and spread of Indo-European languages in Europe. Pairwise Mantel tests of the matrices show that OOA correlates better with LAN than does REN, supporting Renfrew's basic hypothesis of the dispersal of the Indo-European languages with the spread of agriculture but showing less effect for his postulated transformations. Partial correlation of LAN with OOA when GEO is held constant is significant at p = 0.004, whereas REN is no longer correlated with LAN when GEO is held constant. When repeated for only seven languages chosen to represent the seven major families of Indo-European languages currently spoken in Europe, the results differed appreciably, yielding a negative, albeit nonsignificant, partial correlation between OOA and LAN when GEO is held constant. This apparent contradiction led us to develop some new statistical approaches to examine, confirm, and explain the patterns. Decomposing the Mantel correlation coefficients for the 48 Indo-European languages into several additive correlation components showed that much of the positive component of the correlation coefficient was contributed by LAN, OOA correlation within language families, particularly within the Germanic family, covering up the negative contributions between language families. The differentiation of the seven major Indo-European language branches in Europe seems unrelated to the times of the origin of agriculture. This finding fails to support the fundamental assumption of Renfrew's hypothesis. There are also no significant correlations between LAN and REN or GIM. A series of Monte Carlo experiments confirmed these findings. Consideration of the accumulated evidence from genetics supports the model of demic diffusion during the origin of agriculture. However, published genetic studies and the present study lend no support to the notion that the early farmers were indeed the Indo-Europeans.