1 | ! |
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2 | ! $Id$ |
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3 | ! |
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4 | |
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5 | ! ######### |
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6 | |
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7 | subroutine ocean_albedo(knon,zrmu0,knindex,pwind,SFRWL,alb_dir_new,alb_dif_new) |
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8 | |
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9 | |
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10 | ! ################################################################## |
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11 | ! |
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12 | !!**** *ALBEDO_RS14* |
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13 | !! |
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14 | !! PURPOSE |
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15 | !! ------- |
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16 | ! computes the direct & diffuse albedo over open water |
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17 | ! |
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18 | ! |
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19 | !!** METHOD |
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20 | !! ------ |
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21 | ! |
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22 | !! EXTERNAL |
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23 | !! -------- |
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24 | !! |
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25 | !! IMPLICIT ARGUMENTS |
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26 | !! ------------------ |
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27 | !! |
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28 | !! |
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29 | !! REFERENCE |
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30 | !! --------- |
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31 | !! |
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32 | !! |
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33 | !! AUTHOR |
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34 | !! ------ |
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35 | !! R. Séférian * Meteo-France * |
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36 | !! |
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37 | !! MODIFICATIONS |
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38 | !! ------------- |
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39 | !! Original 03/2014 |
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40 | ! 05/2014 R. Séférian & B. Decharme :: Adaptation to spectral |
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41 | ! computation for diffuse and direct albedo |
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42 | ! 08/2014 S. Baek :: for wider wavelength range 200-4000nm and |
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43 | ! adaptation to LMDZ + whitecap effect by Koepke + chrolophyll |
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44 | ! map from climatology file |
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45 | ! |
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46 | !------------------------------------------------------------------------------- |
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47 | ! |
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48 | !* DECLARATIONS |
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49 | ! ------------ |
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50 | ! |
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51 | USE ocean_albedo_para |
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52 | use dimphy |
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53 | !LF USE PARKIND1 ,ONLY : JPIM ,JPRB |
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54 | use phys_state_var_mod, only : chl_con |
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55 | ! |
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56 | ! |
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57 | IMPLICIT NONE |
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58 | ! |
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59 | !* 0.1 declarations of arguments |
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60 | ! ------------------------- |
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61 | ! |
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62 | |
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63 | include "clesphys.h" |
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64 | |
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65 | integer, intent(in) :: knon |
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66 | integer, dimension(klon), intent(in) :: knindex |
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67 | real, dimension(klon), intent(in) :: zrmu0,pwind |
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68 | real, dimension(klon,nsw), intent(out) :: alb_dir_new,alb_dif_new |
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69 | real, dimension(6),intent(in) :: SFRWL |
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70 | |
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71 | |
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72 | !=== LOCAL VARIABLES |
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73 | |
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74 | REAL, parameter :: XPI=4.*atan(1.) |
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75 | |
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76 | ! |
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77 | !* 0.2 declarations of local variables |
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78 | ! ------------------------- |
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79 | ! |
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80 | REAL, DIMENSION(klon) :: ZCHL ! surface chlorophyll |
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81 | REAL, DIMENSION(klon,NNWL) :: ZDIR_ALB ! direct ocean surface albedo (spectral) |
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82 | REAL, DIMENSION(klon,NNWL) :: ZSCA_ALB ! diffuse ocean surface albedo (spectral) |
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83 | ! |
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84 | INTEGER :: JI, JWL ! indexes |
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85 | REAL :: ZWL ! input parameter: wavelength and diffuse/direct fraction of light |
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86 | REAL:: ZSIG, ZREFM, ZXX2, ZR00, ZRR0, ZRRR ! computation variables |
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87 | REAL:: ZR22, ZUE, ZUE2, ZR11DF, ZALBT, ZFWC ! computation variables |
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88 | REAL:: ZCHLABS, ZAW, ZBW, ZAP, ZYLMD, ZBP550 ! computation variables |
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89 | REAL:: ZBBP, ZNU, ZHB ! computation variables |
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90 | REAL:: ZCOSZEN ! Cosine of the zenith solar angle |
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91 | REAL:: ZR11, ZRW, ZRWDF, ZRDF ! 4 components of the OSA |
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92 | ! new damping coefficient |
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93 | REAL:: ZDAMP |
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94 | |
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95 | ! |
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96 | REAL :: ZWORK ! dummy variable |
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97 | ! |
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98 | !LF REAL(KIND=JPRB) :: ZHOOK_HANDLE |
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99 | ! |
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100 | !------------------------------------------------------------------------------- |
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101 | ! |
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102 | ! |
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103 | |
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104 | |
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105 | |
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106 | ! |
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107 | alb_dir_new(:,:) = 0. |
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108 | alb_dif_new(:,:) = 0. |
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109 | ! |
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110 | ZDIR_ALB(:,:) = 0. |
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111 | ZSCA_ALB(:,:) = 0. |
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112 | ! |
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113 | ! |
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114 | |
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115 | !ZCHL(:) = CHL_CON!0.05 ! averaged global values for surface chlorophyll |
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116 | if(ok_chlorophyll)then |
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117 | do ji=1,knon |
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118 | ZCHL(ji)=CHL_CON(knindex(ji)) |
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119 | enddo |
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120 | else |
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121 | ZCHL(:) = 0.05 |
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122 | endif |
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123 | |
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124 | |
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125 | ! |
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126 | DO JWL=1,NNWL ! loop over the wavelength |
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127 | ! |
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128 | DO JI=1,knon ! loop over the grid points |
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129 | |
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130 | |
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131 | !--------------------------------------------------------------------------------- |
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132 | ! 0- Compute baseline values |
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133 | !--------------------------------------------------------------------------------- |
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134 | |
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135 | ! Get refractive index for the correspoding wavelength |
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136 | ZWL=XAKWL(JWL) !!!---------- wavelength value |
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137 | ZREFM= XAKREFM(JWL) !!!--------- refraction index value |
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138 | |
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139 | |
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140 | ! compute the cosine of the solar zenith angle |
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141 | ! ZCOSZEN = COS(XPI/2 - PZENITH(JI)) |
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142 | ZCOSZEN = zrmu0(knindex(JI)) |
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143 | ! Compute sigma derived from wind speed (Cox & Munk reflectance model) |
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144 | ZSIG=SQRT(0.003+0.00512*PWIND(JI)) |
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145 | |
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146 | |
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147 | !--------------------------------------------------------------------------------- |
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148 | ! 1- Compute direct surface albedo (ZR11) |
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149 | !--------------------------------------------------------------------------------- |
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150 | ! |
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151 | ZXX2=SQRT(1.0-(1.0-ZCOSZEN**2)/ZREFM**2) |
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152 | ZRR0=0.50*(((ZXX2-ZREFM*ZCOSZEN)/(ZXX2+ZREFM*ZCOSZEN))**2 +((ZCOSZEN-ZREFM*ZXX2)/(ZCOSZEN+ZREFM*ZXX2))**2) |
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153 | ZRRR=0.50*(((ZXX2-1.34*ZCOSZEN)/(ZXX2+1.34*ZCOSZEN))**2 +((ZCOSZEN-1.34*ZXX2)/(ZCOSZEN+1.34*ZXX2))**2) |
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154 | ZR11=ZRR0-(0.0152-1.7873*ZCOSZEN+6.8972*ZCOSZEN**2-8.5778*ZCOSZEN**3+4.071*ZSIG-7.6446*ZCOSZEN*ZSIG) & |
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155 | & * EXP(0.1643-7.8409*ZCOSZEN-3.5639*ZCOSZEN**2-2.3588*ZSIG+10.0538*ZCOSZEN*ZSIG)*ZRR0/ZRRR |
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156 | ! |
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157 | !--------------------------------------------------------------------------------- |
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158 | ! 2- Compute surface diffuse albedo (ZRDF) |
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159 | !--------------------------------------------------------------------------------- |
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160 | ! Diffuse albedo from Jin et al., 2006 + estimation from diffuse fraction of |
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161 | ! light (relying later on AOD) |
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162 | ZRDF=-0.1482-0.012*ZSIG+0.1609*ZREFM-0.0244*ZSIG*ZREFM ! surface diffuse (Eq 5a-5b) |
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163 | |
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164 | !--------------------------------------------------------------------------------- |
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165 | ! *- Determine absorption and backscattering |
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166 | ! coefficients to determine reflectance below the surface (Ro) once for all |
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167 | ! |
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168 | ! *.1- Absorption by chlorophyll |
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169 | ZCHLABS= XAKACHL(JWL) |
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170 | ! *.2- Absorption by seawater |
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171 | ZAW= XAKAW3(JWL) |
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172 | ! *.3- Backscattering by seawater |
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173 | ZBW= XAKBW(JWL) |
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174 | ! *.4- Backscattering by chlorophyll |
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175 | ZYLMD = EXP(0.014*(440.0-ZWL)) |
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176 | ZWORK= EXP(LOG(ZCHL(JI))*0.65) |
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177 | ZAP = 0.06*ZCHLABS*ZWORK +0.2*(XAW440+0.06*ZWORK)*ZYLMD |
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178 | ZBP550 = 0.416 * EXP(LOG(ZCHL(JI))*0.766) |
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179 | |
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180 | IF ( ZCHL(JI) > 2. ) THEN |
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181 | ZNU=0. |
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182 | ELSE |
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183 | IF ( ZCHL(JI) > 0.02 ) THEN |
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184 | ZWORK=LOG10(ZCHL(JI)) |
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185 | ZNU=0.5*(ZWORK-0.3) |
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186 | ZBBP=(0.002+0.01*(0.5-0.25*ZWORK)*(ZWL/550.)**ZNU)*ZBP550 |
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187 | ELSE |
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188 | ZBBP=0.019*(550./ZWL)*ZBP550 !ZBBPf=0.0113 at chl<=0.02 |
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189 | ENDIF |
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190 | ENDIF |
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191 | |
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192 | ! Morel-Gentili(1991), Eq (12) |
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193 | ! ZHB=h/(h+2*ZBBPf*(1.-h)) |
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194 | ZHB=0.5*ZBW/(0.5*ZBW+ZBBP) |
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195 | |
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196 | !--------------------------------------------------------------------------------- |
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197 | ! 3- Compute direct water-leaving albedo (ZRW) |
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198 | !--------------------------------------------------------------------------------- |
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199 | ! Based on Morel & Gentilli 1991 parametrization |
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200 | ZR22=0.48168549-0.014894708*ZSIG-0.20703885*ZSIG**2 |
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201 | ! Use Morel 91 formula to compute the direct reflectance |
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202 | ! below the surface |
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203 | ZR00=(0.5*ZBW+ZBBP)/(ZAW+ZAP) *(0.6279-0.2227*ZHB-0.0513*ZHB**2 + (-0.3119+0.2465*ZHB)*ZCOSZEN) |
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204 | ZRW=ZR00*(1.-ZR22)*(1.-ZR11)/(1.-ZR00*ZR22) |
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205 | |
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206 | ZRW=ZR00*(1.-ZR22)/(1.-ZR00*ZR22) |
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207 | !--------------------------------------------------------------------------------- |
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208 | ! 4- Compute diffuse water-leaving albedo (ZRWDF) |
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209 | !--------------------------------------------------------------------------------- |
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210 | ! as previous water-leaving computation but assumes a uniform incidence of |
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211 | ! shortwave at surface (ue) |
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212 | ZUE=0.676 ! equivalent u_unif for diffuse incidence |
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213 | ZUE2=SQRT(1.0-(1.0-ZUE**2)/ZREFM**2) |
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214 | ZRR0=0.50*(((ZUE2-ZREFM*ZUE)/(ZUE2+ZREFM*ZUE))**2 +((ZUE-ZREFM*ZUE2)/(ZUE+ZREFM*ZUE2))**2) |
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215 | ZRRR=0.50*(((ZUE2-1.34*ZUE)/(ZUE2+1.34*ZUE))**2 +((ZUE-1.34*ZUE2)/(ZUE+1.34*ZUE2))**2) |
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216 | ZR11DF=ZRR0-(0.0152-1.7873*ZUE+6.8972*ZUE**2-8.5778*ZUE**3+4.071*ZSIG-7.6446*ZUE*ZSIG) & |
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217 | & * EXP(0.1643-7.8409*ZUE-3.5639*ZUE**2-2.3588*ZSIG+10.0538*ZUE*ZSIG)*ZRR0/ZRRR |
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218 | ! Use Morel 91 formula to compute the diffuse |
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219 | ! reflectance below the surface |
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220 | ZR00=(0.5*ZBW+ZBBP)/(ZAW+ZAP) *(0.6279-0.2227*ZHB-0.0513*ZHB**2 + (-0.3119+0.2465*ZHB)*ZUE) |
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221 | ZRWDF=ZR00*(1.-ZR22)*(1.-ZR11DF)/(1.-ZR00*ZR22) |
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222 | |
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223 | ! original : correction for foam (Eq 16-17) |
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224 | ZFWC=3.97e-4*PWIND(JI)**(1.59) ! Salisbury 2014 eq(2) at 37GHz, value in fraction |
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225 | ! has to be update once we have information from wave model (discussion with G. Madec) |
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226 | |
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227 | ! -------------------------------------------------------------------- |
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228 | ! *- OSA estimation |
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229 | ! -------------------------------------------------------------------- |
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230 | ! partitionning direct and diffuse albedo |
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231 | ! |
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232 | |
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233 | ! excluding diffuse albedo ZRW on ZDIR_ALB |
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234 | ZDIR_ALB(JI,JWL) = XFRWL(JWL) *((1.-ZFWC) * (ZR11+ZRW) +ZFWC*XRWC(JWL)) |
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235 | ZSCA_ALB(JI,JWL) = XFRWL(JWL) *((1.-ZFWC) * (ZRDF+ZRWDF) + ZFWC*XRWC(JWL)) |
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236 | |
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237 | ! print*,ji,ZFWC,ZDIR_ALB(JI,JWL),ZSCA_ALB(JI,JWL),pwind(ji) |
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238 | ENDDO ! end of the loop over grid points |
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239 | |
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240 | ENDDO ! ending loop over wavelengths |
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241 | |
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242 | |
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243 | ! integral for each nsw band |
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244 | |
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245 | select case(nsw) |
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246 | case(2) |
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247 | do ji=1,knon |
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248 | alb_dir_new(ji,1)=sum(zdir_alb(ji,1:49))/SFRWL(1) ! from 200nm to 680nm |
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249 | alb_dir_new(ji,2)=sum(zdir_alb(ji,50:381))/SFRWL(2) ! from 690nm to 4000 nm |
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250 | |
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251 | alb_dif_new(ji,1)=sum(zsca_alb(ji,1:49))/SFRWL(1) ! from 200nm to 680nm |
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252 | alb_dif_new(ji,2)=sum(zsca_alb(ji,50:381))/SFRWL(2) ! from 690nm to 4000 nm |
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253 | enddo |
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254 | case(4) |
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255 | do ji=1,knon |
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256 | alb_dir_new(ji,1)=sum(zdir_alb(ji,1:49))/SFRWL(1) ! from 200nm to 680nm |
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257 | alb_dir_new(ji,2)=sum(zdir_alb(ji,50:99))/SFRWL(2) ! from 690nm to 1180 nm |
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258 | alb_dir_new(ji,3)=sum(zdir_alb(ji,100:218))/SFRWL(3) ! from 1190nm to 2370 nm |
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259 | alb_dir_new(ji,4)=sum(zdir_alb(ji,219:381))/SFRWL(4) ! from 2380nm to 4000 nm |
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260 | |
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261 | alb_dif_new(ji,1)=sum(zsca_alb(ji,1:49))/SFRWL(1) ! from 200nm to 680nm |
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262 | alb_dif_new(ji,2)=sum(zsca_alb(ji,50:99))/SFRWL(2) ! from 690nm to 1180 nm |
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263 | alb_dif_new(ji,3)=sum(zsca_alb(ji,100:218))/SFRWL(3) ! from 1190nm to 2370 nm |
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264 | alb_dif_new(ji,4)=sum(zsca_alb(ji,219:381))/SFRWL(4) ! from 2380nm to 4000 nm |
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265 | enddo |
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266 | case(6) |
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267 | do ji=1,knon |
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268 | alb_dir_new(ji,1)=sum(zdir_alb(ji,1:5))/SFRWL(1) ! from 200nm to 240nm |
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269 | alb_dir_new(ji,2)=sum(zdir_alb(ji,6:24))/SFRWL(2) ! from 250nm to 430 nm |
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270 | alb_dir_new(ji,3)=sum(zdir_alb(ji,25:49))/SFRWL(3) ! from 440nm to 680 nm |
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271 | alb_dir_new(ji,4)=sum(zdir_alb(ji,50:99))/SFRWL(4) ! from 690nm to 1180 nm |
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272 | alb_dir_new(ji,5)=sum(zdir_alb(ji,100:218))/SFRWL(5) ! from 1190nm to 2370 nm |
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273 | alb_dir_new(ji,6)=sum(zdir_alb(ji,219:381))/SFRWL(6) ! from 2380nm to 4000 nm |
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274 | |
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275 | alb_dif_new(ji,1)=sum(zsca_alb(ji,1:5))/SFRWL(1) ! from 200nm to 240nm |
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276 | alb_dif_new(ji,2)=sum(zsca_alb(ji,6:24))/SFRWL(2) ! from 250nm to 430 nm |
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277 | alb_dif_new(ji,3)=sum(zsca_alb(ji,25:49))/SFRWL(3) ! from 440nm to 680 nm |
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278 | alb_dif_new(ji,4)=sum(zsca_alb(ji,50:99))/SFRWL(4) ! from 690nm to 1180 nm |
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279 | alb_dif_new(ji,5)=sum(zsca_alb(ji,100:218))/SFRWL(5) ! from 1190nm to 2370 nm |
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280 | alb_dif_new(ji,6)=sum(zsca_alb(ji,219:381))/SFRWL(6) ! from 2380nm to 4000 nm |
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281 | enddo |
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282 | end select |
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283 | |
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284 | |
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285 | |
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286 | END subroutine ocean_albedo |
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287 | |
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