;********************************************************

; histogram normalized by rain and compute correleration

;********************************************************

load "$NCARG_ROOT/lib/ncarg/nclscripts/csm/gsn_code.ncl"

load "$NCARG_ROOT/lib/ncarg/nclscripts/csm/gsn_csm.ncl"

load "$NCARG_ROOT/lib/ncarg/nclscripts/csm/contributed.ncl"

procedure pminmax(data:numeric,name:string)

begin

  print ("min/max " + name + " = " + min(data) + "/" + max(data))

  if(isatt(data,"units")) then

    print (name + " units = " + data@units)

  end if

end

; Main code.

begin

;nclass = 18

 nclass = 20

 plot_type     = "ps"

 plot_type_new = "png"

;************************************************

; read in data: model       

;************************************************

 model_name = "b30.061n"

 model_grid = "T31"

 dirm  = "/fis/cgd/cseg/people/jeff/clamp_data/model/"

 film  = "b30.061n_1995-2004_MONS_climo_lnd.nc"

;film  = "i01.03cn_1545-1569_MONS_climo.nc"

 fm    = addfile(dirm+film,"r")

 laimod  = fm->TLAI

;************************************************

; read in data: observed

;************************************************

 ob_name = "MODIS MOD 15A2 2000-2005"

 diro  = "/fis/cgd/cseg/people/jeff/clamp_data/lai/ob/"

 filo1  = "land_class_"+model_grid+".nc"

 filo2  = "LAI_2000-2005_MONS_"+model_grid+".nc"

 fo1 = addfile(diro+filo1,"r")

 fo2 = addfile(diro+filo2,"r")

 classob    = tofloat(fo1->LAND_CLASS)               

 laiob      = fo2->LAI

;*******************************************************************

; Calculate "nice" bins for binning the data in equally spaced ranges

;********************************************************************

  nclassn     = nclass + 1

  range       = fspan(0,nclassn-1,nclassn)

; print (range)

; Use this range information to grab all the values in a

; particular range, and then take an average.

  nr           = dimsizes(range)

  nx           = nr-1

  xvalues      = new((/2,nx/),float)

  xvalues(0,:) = range(0:nr-2) + (range(1:)-range(0:nr-2))/2.

  dx           = xvalues(0,1) - xvalues(0,0)       ; range width

  dx4          = dx/4                              ; 1/4 of the range

  xvalues(1,:) = xvalues(0,:) - dx/5.

;-----------------------------------------------------------------

;-----------------------------------------------------------------

;(B) max

;--------------------------------------------------------------------

; get data

; observed

  laiob_max = laiob(0,:,:)

  s         = laiob(:,0,0)

  laiob_max@long_name = "Leaf Area Index Max"

  dsizes_z = dimsizes(laiob)

  nlat     = dsizes_z(1)

  nlon     = dsizes_z(2)

  do j = 0,nlat-1

  do i = 0,nlon-1

     s = laiob(:,j,i) 

     laiob_max(j,i) = max(s)

  end do

  end do

; print (min(y)+"/"+max(y))

  delete (s)

  delete (dsizes_z)          

;-------------------------

; model

  laimod_max = laimod(0,:,:)

  s          = laimod(:,0,0)

  laimod_max@long_name = "Leaf Area Index Max"

  dsizes_z = dimsizes(laimod)

  nlat     = dsizes_z(1)

  nlon     = dsizes_z(2)

  do j = 0,nlat-1

  do i = 0,nlon-1

     s = laimod(:,j,i) 

     laimod_max(j,i) = max(s)

  end do

  end do

; print (min(laimod_max)+"/"+max(laimod_max))

  delete (s)

  delete (dsizes_z)          

;------------------------

  DATA11_1D = ndtooned(classob)

  DATA12_1D = ndtooned(laiob_max)

  DATA22_1D = ndtooned(laimod_max)

  yvalues      = new((/2,nx/),float)

  mn_yvalues   = new((/2,nx/),float)

  mx_yvalues   = new((/2,nx/),float)

  do nd=0,1

; See if we are doing model or observational data.

    if(nd.eq.0) then

      data_ob  = DATA11_1D

      data_mod = DATA12_1D

    else

      data_ob  = DATA11_1D

      data_mod = DATA22_1D

    end if

; Loop through each range and check for values.

    do i=0,nr-2

      if (i.ne.(nr-2)) then

;        print("")

;        print("In range ["+range(i)+","+range(i+1)+")")

        idx = ind((range(i).le.data_ob).and.(data_ob.lt.range(i+1)))

      else

;        print("")

;        print("In range ["+range(i)+",)")

        idx = ind(range(i).le.data_ob)

      end if

; Calculate average, and get min and max.

      if(.not.any(ismissing(idx))) then

        yvalues(nd,i)    = avg(data_mod(idx))

        mn_yvalues(nd,i) = min(data_mod(idx))

        mx_yvalues(nd,i) = max(data_mod(idx))

        count = dimsizes(idx)

      else

        count            = 0

        yvalues(nd,i)    = yvalues@_FillValue

        mn_yvalues(nd,i) = yvalues@_FillValue

        mx_yvalues(nd,i) = yvalues@_FillValue

      end if

;     print(nd + ": " + count + " points, avg = " + yvalues(nd,i))

;     print("Min/Max:  " + mn_yvalues(nd,i) + "/" + mx_yvalues(nd,i))

; Clean up for next time in loop.

      delete(idx)

    end do

    delete(data_ob)

    delete(data_mod)

  end do

;-----------------------------------------------------------------

; compute correlation coef and M score

  u = yvalues(0,:)

  v = yvalues(1,:)

  good = ind(.not.ismissing(u) .and. .not.ismissing(v))

  uu = u(good)

  vv = v(good)

  ccrMax = esccr(uu,vv,0)

; print (ccrMax)

; new eq

  bias = sum(abs(vv-uu)/(vv+uu))

  Mmax = (1.- (bias/dimsizes(uu)))*5.

  print (Mmax)

 delete (u)

 delete (v)

 delete (uu)

 delete (vv)

;--------------------------------------------------------------------

; histogram res

  resm                = True

  resm@gsnMaximize    = True

  resm@gsnDraw        = False

  resm@gsnFrame       = False

  resm@xyMarkLineMode = "Markers"

  resm@xyMarkerSizeF  = 0.014

  resm@xyMarker       = 16

  resm@xyMarkerColors = (/"Brown","Blue"/)

; resm@trYMinF        = min(mn_yvalues) - 10.

; resm@trYMaxF        = max(mx_yvalues) + 10.

  resm@trYMinF        = min(mn_yvalues) - 2

  resm@trYMaxF        = max(mx_yvalues) + 4

  resm@tiYAxisString  = "Max LAI (Leaf Area Index)"

  resm@tiXAxisString  = "Land Cover Type"

  max_bar = new((/2,nx/),graphic)

  min_bar = new((/2,nx/),graphic)

  max_cap = new((/2,nx/),graphic)

  min_cap = new((/2,nx/),graphic)

  lnres = True

  line_colors = (/"brown","blue"/)

;------------------------------------------------------------------

; Start the graphics.

  plot_name = "histogram_max"

  title     = model_name + " vs Observed"

  resm@tiMainString  = title

  wks   = gsn_open_wks (plot_type,plot_name)

;-----------------------------

; Add a boxed legend using the more simple method

  resm@pmLegendDisplayMode    = "Always"

; resm@pmLegendWidthF         = 0.1

  resm@pmLegendWidthF         = 0.08

  resm@pmLegendHeightF        = 0.05

  resm@pmLegendOrthogonalPosF = -1.17

; resm@pmLegendOrthogonalPosF = -1.00  ;(downward)

; resm@pmLegendParallelPosF   =  0.18

  resm@pmLegendParallelPosF   =  0.88  ;(rightward)

; resm@lgPerimOn              = False

  resm@lgLabelFontHeightF     = 0.015

  resm@xyExplicitLegendLabels = (/"observed",model_name/)

;-----------------------------

  tRes  = True

  tRes@txFontHeightF = 0.025

  correlation_text = "(correlation coef = "+sprintf("%5.2f", ccrMax)+")"

  gsn_text_ndc(wks,correlation_text,0.56,0.85,tRes)

  xy = gsn_csm_xy(wks,xvalues,yvalues,resm)

;-------------------------------

;Attach the vertical bar and the horizontal cap line 

  do nd=0,1

    lnres@gsLineColor = line_colors(nd)

    do i=0,nx-1

      if(.not.ismissing(mn_yvalues(nd,i)).and. \

         .not.ismissing(mx_yvalues(nd,i))) then

; Attach the vertical bar, both above and below the marker.

        x1 = xvalues(nd,i)

        y1 = yvalues(nd,i)

        y2 = mn_yvalues(nd,i)

        min_bar(nd,i) = gsn_add_polyline(wks,xy,(/x1,x1/),(/y1,y2/),lnres)

        y2 = mx_yvalues(nd,i)

        max_bar(nd,i) = gsn_add_polyline(wks,xy,(/x1,x1/),(/y1,y2/),lnres)

; Attach the horizontal cap line, both above and below the marker.

        x1 = xvalues(nd,i) - dx4

        x2 = xvalues(nd,i) + dx4

        y1 = mn_yvalues(nd,i)

        min_cap(nd,i) = gsn_add_polyline(wks,xy,(/x1,x2/),(/y1,y1/),lnres)

        y1 = mx_yvalues(nd,i)

        max_cap(nd,i) = gsn_add_polyline(wks,xy,(/x1,x2/),(/y1,y1/),lnres)

      end if

    end do

  end do

  draw(xy)

  frame(wks)

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  clear (wks)

 delete (DATA11_1D)

 delete (DATA12_1D)

 delete (DATA22_1D)

;delete (range)

;delete (xvalues) 

 delete (yvalues)

 delete (mn_yvalues)

 delete (mx_yvalues)

 delete (good)

 delete (max_bar)

 delete (min_bar)

 delete (max_cap)

 delete (min_cap)

;----------------------------------------------------------------- 

;global res

  resg                     = True             ; Use plot options

  resg@cnFillOn            = True             ; Turn on color fill

  resg@gsnSpreadColors     = True             ; use full colormap

; resg@cnFillMode          = "RasterFill"     ; Turn on raster color

; resg@lbLabelAutoStride   = True

  resg@cnLinesOn           = False            ; Turn off contourn lines

  resg@mpFillOn            = False            ; Turn off map fill

  resg@cnLevelSelectionMode = "ManualLevels"  ; Manual contour invtervals

  resg@cnMinLevelValF       = 0.              ; Min level

  resg@cnMaxLevelValF       = 10.             ; Max level

  resg@cnLevelSpacingF      = 1.              ; interval

;global contour ob

  delta = 0.00001

  laiob_max = where(ismissing(laiob_max).and.(ismissing(laimod_max).or.(laimod_max.lt.delta)),0.,laiob_max)

  plot_name = "global_max_ob"

  title     = ob_name

  resg@tiMainString  = title

  wks = gsn_open_wks (plot_type,plot_name)   ; open workstation

  gsn_define_colormap(wks,"gui_default")     ; choose colormap

  plot = gsn_csm_contour_map_ce(wks,laiob_max,resg)   

  frame(wks)

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  clear (wks)

;------------------------------------------------------------------------

;global contour model

  plot_name = "global_max_model"

  title     = "Model " + model_name

  resg@tiMainString  = title

  wks = gsn_open_wks (plot_type,plot_name)

  gsn_define_colormap(wks,"gui_default")     ; choose colormap

  delete (plot)

  plot = gsn_csm_contour_map_ce(wks,laimod_max,resg)   

  frame(wks)

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  clear (wks)

;------------------------------------------------------------------------

;global contour model vs ob

  plot_name = "global_max_model_vs_ob"

  wks = gsn_open_wks (plot_type,plot_name)   ; open workstation

  gsn_define_colormap(wks,"gui_default")     ; choose colormap

  delete (plot)

  plot=new(3,graphic)                        ; create graphic array

  resg@gsnFrame             = False          ; Do not draw plot 

  resg@gsnDraw              = False          ; Do not advance frame

; plot correlation coef

  gRes               = True

  gRes@txFontHeightF = 0.02

  gRes@txAngleF      = 90

  correlation_text = "(correlation coef = "+sprintf("%5.2f", ccrMax)+")"

  gsn_text_ndc(wks,correlation_text,0.20,0.50,gRes)

;--------------------------------------------------------------------

;(a) ob

  title     = ob_name

  resg@tiMainString  = title

  plot(0) = gsn_csm_contour_map_ce(wks,laiob_max,resg)       

;(b) model

  title     = "Model "+ model_name

  resg@tiMainString  = title

  plot(1) = gsn_csm_contour_map_ce(wks,laimod_max,resg) 

;(c) model-ob

  zz = laimod_max

  zz = laimod_max - laiob_max

  title = "Model_"+model_name+" - Observed"

  resg@tiMainString    = title

  resg@cnMinLevelValF  = -6.           ; Min level

  resg@cnMaxLevelValF  =  6.           ; Max level

  resg@cnLevelSpacingF =  1.           ; interval

  plot(2) = gsn_csm_contour_map_ce(wks,zz,resg) 

  pres                            = True        ; panel plot mods desired

  pres@gsnPanelYWhiteSpacePercent = 5           ; increase white space around

                                                ; indiv. plots in panel

  pres@gsnMaximize                = True        ; fill the page

  gsn_panel(wks,plot,(/3,1/),pres)              ; create panel plot

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  frame (wks)

  clear (wks)

  delete (plot)

;-----------------------------------------------------------------

;(C) phase

;--------------------------------------------------------------------

; get data

; observed

  laiob_phase = laiob(0,:,:)

  s           = laiob(:,0,0)

  laiob_phase@long_name = "Leaf Area Index Max Month"

  dsizes_z = dimsizes(laiob)

  nlat     = dsizes_z(1)

  nlon     = dsizes_z(2)

  do j = 0,nlat-1

  do i = 0,nlon-1

     s = laiob(:,j,i) 

     laiob_phase(j,i) = maxind(s) + 1

  end do

  end do

; print (min(laiob_phase)+"/"+max(laiob_phase))

  delete (s)

  delete (dsizes_z)          

;-------------------------

; model

  laimod_phase = laimod(0,:,:)

  s            = laimod(:,0,0)

  laimod_phase@long_name = "Leaf Area Index Max Month"

  dsizes_z = dimsizes(laimod)

  nlat     = dsizes_z(1)

  nlon     = dsizes_z(2)

  do j = 0,nlat-1

  do i = 0,nlon-1

     s = laimod(:,j,i) 

     laimod_phase(j,i) = maxind(s) + 1

  end do

  end do

; print (min(laimod_phase)+"/"+max(laimod_phase))

  delete (s)

  delete (dsizes_z)          

;------------------------

  DATA11_1D = ndtooned(classob)

  DATA12_1D = ndtooned(laiob_phase)

  DATA22_1D = ndtooned(laimod_phase)

  yvalues      = new((/2,nx/),float)

  mn_yvalues   = new((/2,nx/),float)

  mx_yvalues   = new((/2,nx/),float)

  do nd=0,1

; See if we are doing model or observational data.

    if(nd.eq.0) then

      data_ob  = DATA11_1D

      data_mod = DATA12_1D

    else

      data_ob  = DATA11_1D

      data_mod = DATA22_1D

    end if

; Loop through each range and check for values.

    do i=0,nr-2

      if (i.ne.(nr-2)) then

;        print("")

;        print("In range ["+range(i)+","+range(i+1)+")")

        idx = ind((range(i).le.data_ob).and.(data_ob.lt.range(i+1)))

      else

;        print("")

;        print("In range ["+range(i)+",)")

        idx = ind(range(i).le.data_ob)

      end if

; Calculate average, and get min and max.

      if(.not.any(ismissing(idx))) then

        yvalues(nd,i)    = avg(data_mod(idx))

        mn_yvalues(nd,i) = min(data_mod(idx))

        mx_yvalues(nd,i) = max(data_mod(idx))

        count = dimsizes(idx)

      else

        count            = 0

        yvalues(nd,i)    = yvalues@_FillValue

        mn_yvalues(nd,i) = yvalues@_FillValue

        mx_yvalues(nd,i) = yvalues@_FillValue

      end if

;     print(nd + ": " + count + " points, avg = " + yvalues(nd,i))

;     print("Min/Max:  " + mn_yvalues(nd,i) + "/" + mx_yvalues(nd,i))

; Clean up for next time in loop.

      delete(idx)

    end do

    delete(data_ob)

    delete(data_mod)

  end do

;-----------------------------------------------------------------

; compute correlation coef and M score

  u = yvalues(0,:)

  v = yvalues(1,:)

  good = ind(.not.ismissing(u) .and. .not.ismissing(v))

  uu = u(good)

  vv = v(good)

  ccrPhase = esccr(uu,vv,0)

; print (ccrPhase)

; old eq

; bias   = abs(avg(vv)-avg(uu))

; new eq

  bias   = avg(abs(vv-uu))

  bias   = where((bias.gt. 6.),12.-bias,bias)

  Mphase = ((6. - bias)/6.)*5.

  print (Mphase)

 delete (u)

 delete (v)

 delete (uu)

 delete (vv)

;--------------------------------------------------------------------

; histogram res

  resm                = True

  resm@gsnMaximize    = True

  resm@gsnDraw        = False

  resm@gsnFrame       = False

  resm@xyMarkLineMode = "Markers"

  resm@xyMarkerSizeF  = 0.014

  resm@xyMarker       = 16

  resm@xyMarkerColors = (/"Brown","Blue"/)

; resm@trYMinF        = min(mn_yvalues) - 10.

; resm@trYMaxF        = max(mx_yvalues) + 10.

  resm@trYMinF        = min(mn_yvalues) - 2

  resm@trYMaxF        = max(mx_yvalues) + 4

  resm@tiYAxisString  = "Max LAI (Leaf Area Index) Month"

  resm@tiXAxisString  = "Land Cover Type"

  max_bar = new((/2,nx/),graphic)

  min_bar = new((/2,nx/),graphic)

  max_cap = new((/2,nx/),graphic)

  min_cap = new((/2,nx/),graphic)

  lnres = True

  line_colors = (/"brown","blue"/)

;------------------------------------------------------------------

; Start the graphics.

  plot_name = "histogram_phase"

  title     = model_name + " vs Observed"

  resm@tiMainString  = title

  wks   = gsn_open_wks (plot_type,plot_name)

;-----------------------------

; Add a boxed legend using the more simple method

  resm@pmLegendDisplayMode    = "Always"

; resm@pmLegendWidthF         = 0.1

  resm@pmLegendWidthF         = 0.08

  resm@pmLegendHeightF        = 0.05

  resm@pmLegendOrthogonalPosF = -1.17

; resm@pmLegendOrthogonalPosF = -1.00  ;(downward)

; resm@pmLegendParallelPosF   =  0.18

  resm@pmLegendParallelPosF   =  0.88  ;(rightward)

; resm@lgPerimOn              = False

  resm@lgLabelFontHeightF     = 0.015

  resm@xyExplicitLegendLabels = (/"observed",model_name/)

;-----------------------------

  tRes  = True

  tRes@txFontHeightF = 0.025

  correlation_text = "(correlation coef = "+sprintf("%5.2f", ccrPhase)+")"

  gsn_text_ndc(wks,correlation_text,0.56,0.85,tRes)

  xy = gsn_csm_xy(wks,xvalues,yvalues,resm)

;-------------------------------

;Attach the vertical bar and the horizontal cap line 

  do nd=0,1

    lnres@gsLineColor = line_colors(nd)

    do i=0,nx-1

      if(.not.ismissing(mn_yvalues(nd,i)).and. \

         .not.ismissing(mx_yvalues(nd,i))) then

; Attach the vertical bar, both above and below the marker.

        x1 = xvalues(nd,i)

        y1 = yvalues(nd,i)

        y2 = mn_yvalues(nd,i)

        min_bar(nd,i) = gsn_add_polyline(wks,xy,(/x1,x1/),(/y1,y2/),lnres)

        y2 = mx_yvalues(nd,i)

        max_bar(nd,i) = gsn_add_polyline(wks,xy,(/x1,x1/),(/y1,y2/),lnres)

; Attach the horizontal cap line, both above and below the marker.

        x1 = xvalues(nd,i) - dx4

        x2 = xvalues(nd,i) + dx4

        y1 = mn_yvalues(nd,i)

        min_cap(nd,i) = gsn_add_polyline(wks,xy,(/x1,x2/),(/y1,y1/),lnres)

        y1 = mx_yvalues(nd,i)

        max_cap(nd,i) = gsn_add_polyline(wks,xy,(/x1,x2/),(/y1,y1/),lnres)

      end if

    end do

  end do

  draw(xy)

  frame(wks)

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  clear (wks)

 delete (DATA11_1D)

 delete (DATA12_1D)

 delete (DATA22_1D)

;delete (range)

;delete (xvalues) 

 delete (yvalues)

 delete (mn_yvalues)

 delete (mx_yvalues)

 delete (good)

 delete (max_bar)

 delete (min_bar)

 delete (max_cap)

 delete (min_cap)

;----------------------------------------------------------------- 

;global res

  resg                     = True             ; Use plot options

  resg@cnFillOn            = True             ; Turn on color fill

  resg@gsnSpreadColors     = True             ; use full colormap

; resg@cnFillMode          = "RasterFill"     ; Turn on raster color

; resg@lbLabelAutoStride   = True

  resg@cnLinesOn           = False            ; Turn off contourn lines

  resg@mpFillOn            = False            ; Turn off map fill

  resg@cnLevelSelectionMode = "ManualLevels"  ; Manual contour invtervals

  resg@cnMinLevelValF       = 1.              ; Min level

  resg@cnMaxLevelValF       = 12.             ; Max level

  resg@cnLevelSpacingF      = 1.              ; interval

;global contour ob

  delta = 0.00001

  laiob_phase = where(ismissing(laiob_phase).and.(ismissing(laimod_phase).or.(laimod_phase.lt.delta)),0.,laiob_phase)

  plot_name = "global_phase_ob"

  title     = ob_name

  resg@tiMainString  = title

  wks = gsn_open_wks (plot_type,plot_name)   ; open workstation

  gsn_define_colormap(wks,"gui_default")     ; choose colormap

  plot = gsn_csm_contour_map_ce(wks,laiob_phase,resg)   

  frame(wks)

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  clear (wks)

;------------------------------------------------------------------------

;global contour model

  plot_name = "global_phase_model"

  title     = "Model " + model_name

  resg@tiMainString  = title

  wks = gsn_open_wks (plot_type,plot_name)

  gsn_define_colormap(wks,"gui_default")     ; choose colormap

  delete (plot)

  plot = gsn_csm_contour_map_ce(wks,laimod_phase,resg)   

  frame(wks)

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  clear (wks)

;------------------------------------------------------------------------

;global contour model vs ob

  plot_name = "global_phase_model_vs_ob"

  wks = gsn_open_wks (plot_type,plot_name)   ; open workstation

  gsn_define_colormap(wks,"gui_default")     ; choose colormap

  delete (plot)

  plot=new(3,graphic)                        ; create graphic array

  resg@gsnFrame             = False          ; Do not draw plot 

  resg@gsnDraw              = False          ; Do not advance frame

; plot correlation coef

  gRes               = True

  gRes@txFontHeightF = 0.02

  gRes@txAngleF      = 90

  correlation_text = "(correlation coef = "+sprintf("%5.2f", ccrPhase)+")"

  gsn_text_ndc(wks,correlation_text,0.20,0.50,gRes)

;--------------------------------------------------------------------

;(a) ob

  title     = ob_name

  resg@tiMainString  = title

  plot(0) = gsn_csm_contour_map_ce(wks,laiob_phase,resg)       

;(b) model

  title     = "Model "+ model_name

  resg@tiMainString  = title

  plot(1) = gsn_csm_contour_map_ce(wks,laimod_phase,resg) 

;(c) model-ob

  delete (zz)

  zz = laimod_phase

  zz = laimod_phase - laiob_phase

  title = "Model_"+model_name+" - Observed"

  resg@tiMainString    = title

  resg@cnMinLevelValF  = -6.           ; Min level

  resg@cnMaxLevelValF  =  6.           ; Max level

  resg@cnLevelSpacingF =  1.           ; interval

  plot(2) = gsn_csm_contour_map_ce(wks,zz,resg) 

; pres                            = True        ; panel plot mods desired

; pres@gsnPanelYWhiteSpacePercent = 5           ; increase white space around

                                                ; indiv. plots in panel

; pres@gsnMaximize                = True        ; fill the page

  gsn_panel(wks,plot,(/3,1/),pres)              ; create panel plot

  system("convert "+plot_name+"."+plot_type+" "+plot_name+"."+plot_type_new)

; system("rm "+plot_name+"."+plot_type)

; system("rm "+plot_name+"-1."+plot_type_new)

; system("mv "+plot_name+"-0."+plot_type_new+" "+plot_name+"."+plot_type_new)

  frame (wks)

  clear (wks)

  delete (plot)  

;-----------------------------------------------------------------

;(D) grow day

;--------------------------------------------------------------------

; get data

  day_of_data = (/31,28,31,30,31,30,31,31,30,31,30,31/)

; observed

  laiob_grow = laiob(0,:,:)

  laiob_grow@long_name = "Days of Growing Season"

  dsizes_z = dimsizes(laiob)

  ntime    = dsizes_z(0)

  nlat     = dsizes_z(1)

  nlon     = dsizes_z(2)

  do j = 0,nlat-1

  do i = 0,nlon-1

     nday = 0.

     do k = 0,ntime-1

        if (.not. ismissing(laiob(k,j,i)) .and. laiob(k,j,i) .gt. 1.0) then

           nday = nday + day_of_data(k)

        end if

     end do

     laiob_grow(j,i) = nday

  end do

  end do

; print (min(laiob_grow)+"/"+max(laiob_grow))         

;-------------------------

; model

  laimod_grow = laimod(0,:,:)

  laimod_grow@long_name = "Days of Growing Season"

  dsizes_z = dimsizes(laimod)

  ntime    = dsizes_z(0)

  nlat     = dsizes_z(1)

  nlon     = dsizes_z(2)

  do j = 0,nlat-1

  do i = 0,nlon-1

     nday = 0.

     do k = 0,ntime-1

        if (.not. ismissing(laimod(k,j,i)) .and. laimod(k,j,i) .gt. 1.0) then

           nday = nday + day_of_data(k)

        end if

     end do

     laimod_grow(j,i) = nday

  end do

  end do

; print (min(laimod_grow)+"/"+max(laimod_grow))          

;------------------------

  DATA11_1D = ndtooned(classob)

  DATA12_1D = ndtooned(laiob_grow)

  DATA22_1D = ndtooned(laimod_grow)

  yvalues      = new((/2,nx/),float)

  mn_yvalues   = new((/2,nx/),float)

  mx_yvalues   = new((/2,nx/),float)

  do nd=0,1

; See if we are doing model or observational data.

    if(nd.eq.0) then

      data_ob  = DATA11_1D

      data_mod = DATA12_1D

    else

      data_ob  = DATA11_1D

      data_mod = DATA22_1D

    end if

; Loop through each range and check for values.

    do i=0,nr-2

      if (i.ne.(nr-2)) then

;        print("")

;        print("In range ["+range(i)+","+range(i+1)+")")

        idx = ind((range(i).le.data_ob).and.(data_ob.lt.range(i+1)))

      else

;        print("")

;        print("In range ["+range(i)+",)")

        idx = ind(range(i).le.data_ob)

      end if

; Calculate average, and get min and max.

      if(.not.any(ismissing(idx))) then

        yvalues(nd,i)    = avg(data_mod(idx))

        mn_yvalues(nd,i) = min(data_mod(idx))

        mx_yvalues(nd,i) = max(data_mod(idx))

        count = dimsizes(idx)

      else

        count            = 0

        yvalues(nd,i)    = yvalues@_FillValue

        mn_yvalues(nd,i) = yvalues@_FillValue

        mx_yvalues(nd,i) = yvalues@_FillValue

      end if

;     print(nd + ": " + count + " points, avg = " + yvalues(nd,i))

;     print("Min/Max:  " + mn_yvalues(nd,i) + "/" + mx_yvalues(nd,i))

; Clean up for next time in loop.

      delete(idx)

    end do

    delete(data_ob)

    delete(data_mod)

  end do

;-----------------------------------------------------------------

; compute correlation coef and M score

  u = yvalues(0,:)

  v = yvalues(1,:)

  good = ind(.not.ismissing(u) .and. .not.ismissing(v))

  uu = u(good)

  vv = v(good)

  ccrGrow = esccr(uu,vv,0)

; print (ccrGrow)

; new eq

  bias  = sum(abs(vv-uu)/(vv+uu))

  Mgrow = (1.- (bias/dimsizes(uu)))*5.

  print (Mgrow)

 delete (u)

 delete (v)

 delete (uu)

 delete (vv)

;--------------------------------------------------------------------

; histogram res

  resm                = True

  resm@gsnMaximize    = True

  resm@gsnDraw        = False

  resm@gsnFrame       = False

  resm@xyMarkLineMode = "Markers"

  resm@xyMarkerSizeF  = 0.014

  resm@xyMarker       = 16

  resm@xyMarkerColors = (/"Brown","Blue"/)

; resm@trYMinF        = min(mn_yvalues) - 10.

; resm@trYMaxF        = max(mx_yvalues) + 10.

  resm@trYMinF        = min(mn_yvalues) - 2

  resm@trYMaxF        = max(mx_yvalues) + 4

  resm@tiYAxisString = "Days of Growing season"

  resm@tiXAxisString = "Land Cover Type"

  max_bar = new((/2,nx/),graphic)

  min_bar = new((/2,nx/),graphic)

  max_cap = new((/2,nx/),graphic)

  min_cap = new((/2,nx/),graphic)

  lnres = True

  line_colors = (/"brown","blue"/)

;------------------------------------------------------------------

; Start the graphics.

  plot_name = "histogram_grow"

  title     = model_name + " vs Observed"

  resm@tiMainString  = title

  wks   = gsn_open_wks (plot_type,plot_name)

;-----------------------------

; Add a boxed legend using the more simple method

  resm@pmLegendDisplayMode    = "Always"

; resm@pmLegendWidthF         = 0.1

  resm@pmLegendWidthF         = 0.08

  resm@pmLegendHeightF        = 0.05

  resm@pmLegendOrthogonalPosF = -1.17

; resm@pmLegendOrthogonalPosF = -1.00  ;(downward)

; resm@pmLegendParallelPosF   =  0.18

  resm@pmLegendParallelPosF   =  0.88  ;(rightward)

; resm@lgPerimOn              = False

  resm@lgLabelFontHeightF     = 0.015

  resm@xyExplicitLegendLabels = (/"observed",model_name/)

;-----------------------------

  tRes  = True

  tRes@txFontHeightF = 0.025