... 0 SISUS: Stable Isotope Sourcing using Sampling 
      http://StatAcumen.com/sisus, by Erik Barry Erhardt 
      Starting  Wed May 23 15:46:37 2007 
... 0.006 Reading workbook:  SISUS_v01-07_Phillips2001_Mink_7-2.xls 
   reading up to  14 sheets, as requested:   1r  2r  3r  4  5  6  7  8  9  10  11  12  13  14
... 13.656 Process input data and assign variables 

### SISUS Model Settings ### 
  analysis.name =  Phillips in Oecologia (2001), p.169 Table 2 Mink (n=7, k=2) 
  filename.prefix =  P2001Mink_7-2 
  mixtures.group.name =  No Group 

  m =  1  Mixtures 
  n =  7  Sources 
  k =  2  Isotopes 

  Include SIMPLEX (sum of proportions is 1) constraint -- for Mixing Model 

  NOT correcting source isotopic signatures for discrimination 
  NOT using SOURCE CONCENTRATIONS 
  NOT using ASSIMILATION EFFICIENCIES 
  NOT including additional LINEAR CONSTRAINTS 
  NOT using PRIOR, only uniform samples from solution polytope 
  NOT using ISOTOPE STDDEV 
  NOT using CONCENTRATION STDDEV 
  NOT using EFFICIENCY STDDEV 

  Mixtures are not a time series 

### SISUS Model Assumptions (under development) ### 
  Mixing Model using Simplex 
  No discrimination or isotope values already corrected. 
  Elemental concentrations are the same for all sources and elements. 
  Assimilation efficiencies are the same for all sources and elements. 
  Solutions within solution polytope are equally likely. 
  No variance in isotope ratios in sources. 
  No variance in elemental concetrations in sources. 
  No variance in assimilation efficiencies. 

... 13.742 Set random seed = 76543 
... 13.743 Draw 0 samples from MVN isotope distribution 
... 13.838 Plot Convex Hull 

==> process Mixture:  Mink 
... 20.796 Draw uniform samples from convex solution polytope 
           Drawing 1 sample(s) of size 10000 for a total of  10000 samples: 
           1  (v)
           Solution Polytope with 5 vertices 
... 64.132 1  of  1  =  100 % of mvn samples lead to feasible solutions 
... 64.133 Back-solve from biomass to isotopes contributions 
... 74.347 Display Mariginal histograms, Scatterplot, Numerical summeries, and Write out samples 
... 74.349    Uniform Sample 
... 74.351       Biomass Marginal Histogram 
... 76.248       Biomass Scatterplot Matrix 
... 234.122       Biomass Numerical Summaries 
... 234.403    Write out samples 

... 234.806 SISUS Complete