Page 9 - whistler1967
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jahnsi.  This  method  for  graphical  representation  of  size
          differences  is  taken  from  G.  G.  Simpson  (1941)  which  includes
          a  complete  explanation  of  the  construction  and  interpreta-
          tion  of  this  figure.  The  method  essentially  compares  the
          relative  proportions  of  dimensions  in  any  number  of  different
          species  (three  in  this  case)  to  a  single  form  arbitrarily
          picked  as  the  standard  of  comparison,!::!•  (Merychyus)  crabilli
          in  this  case.  The  dimensions  are  converted  to  a  geometric
          or  logarithmic  scale  in  order  that  an  absolute  ratio  of
          numbers  will  be  represented  by  the  same  distance  plotted  on
          the  graph.  Since  we  desire  to  ignore  absolute  values  and
          represent  only  ratios,  the  differences  between  logarithms
          are  plotted.  The  log  difference  scale  is  plotted  on  the
          ordinate  and  the  various  dimensions  on  the  abscissa.  Negative
          log  difference·values  represent  a  ratio  which  is  less  than
          one,  or  in  other  words,  a  ratio  in  which  the  standard  of
          comparison  is  larger  than  the  form  to  which  it  is  being  com-
          pared.  The  horizontal  lines  plotted  along  the  ordinate
          at  each  character  are  a  log  measure  of  the  estimated  range
          of  that  character.  This  estimate  was  obtained  by  taking
          3.24  times  the  standard  deviation  (see  Simpson,  et  al.,
          1960).  The  small  number  indicates  the  sample  size.-Figure  2
          reveals  that!::!•  (!::!.)  jahnsi  is  consistently  smaller  than!::!•
           (!::!•)  crabilli,  well  outside  of  the  estimated  maximum  vari-
          ability  found  in  the  latter.  However,  at  least  in  relation
          to  the  proportion  of  the  characters  compared,  !::!•  (!::!.)  j ahns i
          displays  a  close  resemblance  to!'.!•  (!'.!.)  calaminthus.   The
         ·presence  of  long  shallow  antorbital  fossae,  paired  infra-
          orbital  foramina,  a  relatively  shallower  malar  and  a  relative-
          ly  smaller  M 1  serves  to  distinguish  further  !'.!•  (!'.!•)  jahnsi
          from  !'.!•  (!'.! •)  calamin thus.

                PHYLOGENETIC  POSITION  OF  THE  TICK  CANYON  OREODONTS

                There  are  a  number  of  unpublished  oreodont  records  from
           Southern  California  which  yield  pertinent  information  about
           the  phylogenetic  position  of  the  Tick  Canyon  oreodonts.  The
          Hemingfordian  Boron  fauna  (Whistler,  University  of  California,
          Riverside,  Master's  thesis,  1964)  contains  two  well  repre-
           sented  species  of  Merychyus  which  display  affinities  with
          M.  (M.)  calaminthus  and  M.  (M.)  jahnsi.  Both  an  unpublished
          Arikareean  fauna  in  the Mojave  Desert  and  the  Hemingfordian

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