plotlmrdia              package:lmomco              R Documentation

_P_l_o_t _L-_m_o_m_e_n_t _R_a_t_i_o _D_i_a_g_r_a_m

_D_e_s_c_r_i_p_t_i_o_n:

     Plot the L-moment ratio diagram of L-skew and L-kurtosis from an
     L-moment ratio diagram object returned by 'lmrdia'.  This diagram
     is useful for selecting a distribution to model the data. The
     application of L-moment diagrams is well  documented in the
     literature. This function is intended to function as a
     demonstration of L-moment diagram plotting. It is expected that
     users will "roll their own".

_U_s_a_g_e:

     plotlmrdia(lmr, nopoints=FALSE, nolines=FALSE, nolimits=FALSE,
                nogev=FALSE, noglo=FALSE, nogpa=FALSE, nope3=FALSE, 
                nogno=FALSE, noexp=FALSE, nonor=FALSE, nogum=FALSE, 
                nouni=FALSE, ...)

_A_r_g_u_m_e_n_t_s:

     lmr: L-moment diagram object from 'lmrdia'.

nopoints: If 'TRUE' then point distributions are not drawn.

 nolines: If 'TRUE' then line distributions are not drawn.

nolimits: If 'TRUE' then theoretical limits of L-moments are not drawn.

   nogev: If 'TRUE' then line of Generalized Extreme Value distribution
          is not drawn.

   noglo: If 'TRUE' then line of Generalized Logistic distribution is
          not drawn.

   nogno: If 'TRUE' then line of Generalized Normal (log-Normal)
          distribution is not drawn.

   nogpa: If 'TRUE' then line of Generalized Pareto distribution is not
          drawn.

   nope3: If 'TRUE' then line of Pearson Type III distribution is not
          drawn.

   noexp: If 'TRUE' then point of Exponential distribution is not
          drawn.

   nonor: If 'TRUE' then point of Normal distribution is not drawn.

   nogum: If 'TRUE' then point of Gumbel distribution is not drawn.

   nouni: If 'TRUE' then point of Uniform distribution is not drawn.

     ...: Additional arguments passed onto the 'plot' function.

_N_o_t_e:

     This function provides hardwired calls to 'lines' and 'points' to 
     produce the diagram. The plot symbology for the shown
     distributions is summarized here.  The Kappa (four parameter) and
     Wakeby (five parameter) distributions are not well  represented on
     the diagram as each constitute an area (Kappa) or hyperplane
     (Wakeby) and  not a line (three-parameter distributions) or a
     point (two-parameter distributions). However,  the Kappa demarks
     the area bounded by the Generalized Logistic ('glo') on the top
     and the  theoretical L-moment limits on the bottom.

            *GRAPHIC TYPE*        *GRAPHIC NATURE*
            L-moment Limits       line width 2 and color 8 (grey)
       Generalized Extreme Value  line width 1, line type 2 (dash), and color 2 (red)
         Generalized Logistic     line width 1 and color 3 (green)
          Generalized Normal      line width 1, line type 2 (dash), and color 4 (blue)
          Generalized Pareto      line width 1 and color 4 (blue)
           Pearson Type III       line width 1 and color 6 (purple)
              Exponential         symbol 16 (filled circle) and color 2 (red)
                Normal            symbol 15 (filled square) and color 2 (red)
                Gumbel            symbol 17 (filled triangle) and color 2 (red)
                Uniform           symbol 18 (filled diamond) and color 2 (red)

_A_u_t_h_o_r(_s):

     W.H. Asquith

_R_e_f_e_r_e_n_c_e_s:

     Asquith, W.H., 1998, Depth-duration frequency of precipitation for
     Texas: U.S. Geological Survey Water-Resources Investigations
     Report 98-4044, 107 p.

     Hosking, J.R.M., 1990, L-moments-Analysis and estimation of
     distributions using linear combinations of order statistics:
     Journal of the Royal Statistical Society, Series B, vol. 52, p.
     105-124.

     Hosking, J.R.M. and Wallis, J.R., 1997, Regional frequency
     analysis-An approach based on L-moments: Cambridge University
     Press.

     Vogel, R.M., and Fennessey, N.M., 1993, L moment diagrams should
     replace product moment diagrams: Water Resources Research, vol.
     29, no. 6, pp. 1745-1752.

_S_e_e _A_l_s_o:

     'lmrdia'

_E_x_a_m_p_l_e_s:

     plotlmrdia(lmrdia())

