P A S T
PAlaeontological STatistics



Download PAST

Documentation and case studies (HTML)

Documentation (Adobe Acrobat)

The PAST mailing list

Version history (since 1.00)

Screen shots



Data files and errata for the book "Paleontological Data Analysis"



PAST is a free, easy-to-use data analysis package originally aimed at paleontology but now also popular in ecology and other fields. Inspired by PALSTAT, it includes common statistical, plotting and modelling functions:

  • A spreadsheet-type data entry form
  • Both interactive user interface and scripting
  • Graph, scatter, 3D scatter, bubble, histogram, kernel density estimation, box, percentile, ternary, survivorship, spindle, matrix, surface and normal probability plots
  • Curve fitting: Linear (Standard and Reduced Major Axis) with bootstrapping and permutation, lin-log (exponential), log-log (allometric), polynomial, logistic, von Bertalanffy, sum-of-sines, B-splines, Gaussian (species packing)
  • F, t, permutation t, Chi-squared w. permutation test, Fisher's exact, Kolmogorov-Smirnov, Mann-Whitney, Shapiro-Wilk, Jarque-Bera, Spearman's Rho and Kendall's Tau tests with permutation, correlation, covariance, contingency tables, one-way and two-way ANOVA, Kruskal-Wallis test, sign test, Wilcoxon signed rank test with permutation, mixture analysis.
  • Diversity indices with bootstrapping and permutation, individual- and sample-based rarefaction. Capture-recapture richness estimators. Dice, Jaccard, Simpson and Raup-Crick similarity indices, Renyi diversity profiles.
  • Abundance model fitting: Geometric, log-series, log-normal, broken stick.
  • Multivariate statistics: Principal Components (with Minimal Spanning Tree, bootstrapping etc.), Principal Coordinates (19 distance measures), Non-metric Multidimensional Scaling (19 distance measures), Detrended Correspondence Analysis, Canonical Correspondence Analysis, Cluster analysis (UPGMA, single linkage, Ward's method and neighbour joining, 19 distance measures, two-way clustering, bootstrapping), k-means clustering, seriation, discriminant analysis, one-way MANOVA, one-way ANOSIM, one-way NPMANOVA, Hotelling's T2, paired Hotelling's T2, Mahalanobis-distance permutation, Mardia's multivariate normality, Box's M, Canonical Variates Analysis, multivariate allometry with bootstrapping, Mantel test, SIMPER, Imbrie & Kipp factor analysis, Modern Analog Technique.
  • Time series analysis: Spectral analysis, autocorrelation, cross-correlation, wavelet transform, Walsh transform, runs test. Mantel correlogram and periodogram. ARMA, Box-Jenkins intervention analysis. Solar forcing model.
  • Geometrical analysis: Directional statistics (Rayleigh, Rao, chi-squared, Watson-Williams, circular kernel density estimation, angular mean with CI, rose plots), point distribution statistics (nearest neighbour and Ripley's K), Fourier shape analysis, elliptic Fourier shape analysis, eigenshapes, landmark analysis with Bookstein and Procrustes fitting (2D and 3D), thin-plate spline transformation grids with expansions and principal strains, partial warps and scores, relative warps and scores, centroid size from landmarks, size removal by Burnaby's method.
  • Parsimony analysis (cladistics): Exhaustive, branch-and-bound and heuristic algorithms, Wagner, Fitch and Dollo characters. Bootstrap, strict and majority rule consensus trees. Consistency and retention indices. Three stratigraphic congruency indices with permutation tests. Cladograms and phylograms.
  • Biostratigraphy with the methods of Unitary Associations, Ranking-Scaling (RASC), Appearence Event Ordination and Constrained Optimization (CONOP). Confidence intervals on stratigraphic ranges.
  • Gridding (spatial interpolation): Moving average, thin-plate spline and kriging with three semivariogram models.

    Included in the distribution are real data sets for educational use, together with extensive documentation and case studies.

    PAST has been tested under Windows 95, 98, 2000, NT 4, XP and Vista.

    PAST - because your data deserve itTM

  • Comments, questions, bug reports, success stories or horror stories? Please e-mail ohammer@nhm.uio.no

    Øyvind Hammer
    ohammer@nhm.uio.no
    Paleontological Museum
    University of Oslo
    (Programming, documentation, case studies)
    David A.T. Harper
    Geological Museum
    Copenhagen
    (Project supervision, case studies)
    P.D. Ryan
    (Programmer of the original PALSTAT package)