1 | ! |
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2 | ! $Id$ |
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3 | ! |
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4 | |
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5 | SUBROUTINE ocean_albedo(knon,zrmu0,knindex,pwind,SFRWL,alb_dir_new,alb_dif_new) |
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6 | !! |
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7 | !!**** *ALBEDO_RS14* |
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8 | !! |
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9 | !! PURPOSE |
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10 | !! ------- |
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11 | !! computes the direct & diffuse albedo over open water |
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12 | !! |
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13 | !!** METHOD |
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14 | !! ------ |
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15 | !! |
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16 | !! EXTERNAL |
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17 | !! -------- |
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18 | !! |
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19 | !! IMPLICIT ARGUMENTS |
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20 | !! ------------------ |
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21 | !! |
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22 | !! REFERENCE |
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23 | !! --------- |
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24 | !! |
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25 | !! AUTHOR |
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26 | !! ------ |
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27 | !! R. Séférian * Meteo-France * |
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28 | !! |
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29 | !! MODIFICATIONS |
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30 | !! ------------- |
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31 | !! Original 03/2014 |
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32 | !! 05/2014 R. Séférian & B. Decharme :: Adaptation to spectral |
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33 | !! computation for diffuse and direct albedo |
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34 | !! 08/2014 S. Baek :: for wider wavelength range 200-4000nm and |
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35 | !! adaptation to LMDZ + whitecap effect by Koepke + chrolophyll |
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36 | !! map from climatology file |
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37 | !! 10/2016 O. Boucher :: some optimisation following R. |
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38 | !! Seferian's work in the CNRM Model |
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39 | !! |
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40 | !------------------------------------------------------------------------------- |
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41 | ! |
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42 | !* DECLARATIONS |
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43 | ! ------------ |
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44 | ! |
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45 | USE ocean_albedo_para |
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46 | USE dimphy |
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47 | USE phys_state_var_mod, ONLY : chl_con |
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48 | USE clesphys_mod_h |
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49 | ! |
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50 | ! |
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51 | IMPLICIT NONE |
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52 | ! |
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53 | !* 0.1 declarations of arguments |
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54 | ! ------------------------- |
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55 | ! |
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56 | ! |
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57 | INTEGER, INTENT(IN) :: knon |
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58 | INTEGER, DIMENSION(klon), INTENT(IN) :: knindex |
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59 | REAL, DIMENSION(klon), INTENT(IN) :: zrmu0 !--cos(SZA) on full vector |
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60 | REAL, DIMENSION(klon), INTENT(IN) :: pwind !--wind speed on compressed vector |
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61 | REAL, DIMENSION(6),INTENT(IN) :: SFRWL |
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62 | REAL, DIMENSION(klon,nsw), INTENT(OUT) :: alb_dir_new, alb_dif_new |
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63 | ! |
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64 | !* 0.2 declarations of local variables |
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65 | ! ------------------------- |
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66 | ! |
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67 | REAL, DIMENSION(klon) :: ZCHL ! surface chlorophyll |
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68 | REAL, DIMENSION(klon) :: ZCOSZEN ! Cosine of the zenith solar angle |
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69 | ! |
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70 | INTEGER :: JWL, INU ! indexes |
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71 | INTEGER :: JI |
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72 | REAL :: ZWL ! input parameter: wavelength and diffuse/direct fraction of light |
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73 | REAL:: ZCHLABS, ZAW, ZBW, ZREFM, ZYLMD, ZUE, ZUE2 ! scalar computation variables |
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74 | ! |
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75 | REAL, DIMENSION(klon) :: ZAP, ZXX2, ZR00, ZRR0, ZRRR ! computation variables |
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76 | REAL, DIMENSION(klon) :: ZR22, ZR11DF ! computation variables |
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77 | REAL, DIMENSION(klon) :: ZBBP, ZNU, ZHB ! computation variables |
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78 | REAL, DIMENSION(klon) :: ZR11, ZRW, ZRWDF, ZRDF ! 4 components of the OSA |
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79 | REAL, DIMENSION(klon) :: ZSIG, ZFWC, ZWORK1, ZWORK2, ZWORK3 |
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80 | ! |
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81 | !--initialisations------------- |
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82 | ! |
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83 | |
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84 | IF (knon==0) RETURN ! A verifier pourquoi on en a besoin... |
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85 | |
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86 | alb_dir_new(:,:) = 0. |
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87 | alb_dif_new(:,:) = 0. |
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88 | ! |
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89 | ! Initialisation of chlorophyll content |
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90 | ! ZCHL(:) = CHL_CON!0.05 ! averaged global values for surface chlorophyll |
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91 | IF (ok_chlorophyll) THEN |
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92 | ZCHL(1:knon)=CHL_CON(knindex(1:knon)) |
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93 | ELSE |
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94 | ZCHL(1:knon) = 0.05 |
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95 | ENDIF |
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96 | |
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97 | ! variables that do not depend on wavelengths |
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98 | ! loop over the grid points |
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99 | ! functions of chlorophyll content |
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100 | ZWORK1(1:knon)= EXP(LOG(ZCHL(1:knon))*0.65) |
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101 | ZWORK2(1:knon)= 0.416 * EXP(LOG(ZCHL(1:knon))*0.766) |
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102 | ZWORK3(1:knon)= LOG10(ZCHL(1:knon)) |
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103 | ! store the cosine of the solar zenith angle |
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104 | ZCOSZEN(1:knon) = zrmu0(knindex(1:knon)) |
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105 | ! Compute sigma derived from wind speed (Cox & Munk reflectance model) |
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106 | ZSIG(1:knon)=SQRT(0.003+0.00512*PWIND(1:knon)) |
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107 | ! original : correction for foam (Eq 16-17) |
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108 | ! has to be update once we have information from wave model (discussion with G. Madec) |
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109 | ZFWC(1:knon)=3.97e-4*PWIND(1:knon)**1.59 ! Salisbury 2014 eq(2) at 37GHz, value in fraction |
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110 | ! |
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111 | DO JWL=1,NNWL ! loop over the wavelengths |
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112 | ! |
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113 | !--------------------------------------------------------------------------------- |
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114 | ! 0- Compute baseline values |
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115 | !--------------------------------------------------------------------------------- |
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116 | |
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117 | ! Get refractive index for the correspoding wavelength |
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118 | ZWL=XAKWL(JWL) !!!--------- wavelength value |
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119 | ZREFM= XAKREFM(JWL) !!!--------- refraction index value |
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120 | |
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121 | !--------------------------------------------------------------------------------- |
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122 | ! 1- Compute direct surface albedo (ZR11) |
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123 | !--------------------------------------------------------------------------------- |
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124 | ! |
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125 | ZXX2(1:knon)=SQRT(1.0-(1.0-ZCOSZEN(1:knon)**2)/ZREFM**2) |
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126 | ZRR0(1:knon)=0.50*(((ZXX2(1:knon)-ZREFM*ZCOSZEN(1:knon))/(ZXX2(1:knon)+ZREFM*ZCOSZEN(1:knon)))**2 + & |
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127 | ((ZCOSZEN(1:knon)-ZREFM*ZXX2(1:knon))/(ZCOSZEN(1:knon)+ZREFM*ZXX2(1:knon)))**2) |
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128 | ZRRR(1:knon)=0.50*(((ZXX2(1:knon)-1.34*ZCOSZEN(1:knon))/(ZXX2(1:knon)+1.34*ZCOSZEN(1:knon)))**2 + & |
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129 | ((ZCOSZEN(1:knon)-1.34*ZXX2(1:knon))/(ZCOSZEN(1:knon)+1.34*ZXX2(1:knon)))**2) |
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130 | ZR11(1:knon)=ZRR0(1:knon)-(0.0152-1.7873*ZCOSZEN(1:knon)+6.8972*ZCOSZEN(1:knon)**2-8.5778*ZCOSZEN(1:knon)**3+ & |
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131 | 4.071*ZSIG(1:knon)-7.6446*ZCOSZEN(1:knon)*ZSIG(1:knon)) * & |
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132 | EXP(0.1643-7.8409*ZCOSZEN(1:knon)-3.5639*ZCOSZEN(1:knon)**2-2.3588*ZSIG(1:knon)+ & |
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133 | 10.0538*ZCOSZEN(1:knon)*ZSIG(1:knon))*ZRR0(1:knon)/ZRRR(1:knon) |
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134 | ! |
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135 | !--------------------------------------------------------------------------------- |
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136 | ! 2- Compute surface diffuse albedo (ZRDF) |
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137 | !--------------------------------------------------------------------------------- |
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138 | ! Diffuse albedo from Jin et al., 2006 + estimation from diffuse fraction of |
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139 | ! light (relying later on AOD). CNRM model has opted for Eq 5b |
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140 | ZRDF(1:knon)=-0.1482-0.012*ZSIG(1:knon)+0.1609*ZREFM-0.0244*ZSIG(1:knon)*ZREFM ! surface diffuse (Eq 5a) |
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141 | !!ZRDF(1:knon)=-0.1479+0.1502*ZREFM-0.0176*ZSIG(1:knon)*ZREFM ! surface diffuse (Eq 5b) |
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142 | |
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143 | !--------------------------------------------------------------------------------- |
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144 | ! *- Determine absorption and backscattering |
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145 | ! coefficients to determine reflectance below the surface (Ro) once for all |
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146 | ! |
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147 | ! *.1- Absorption by chlorophyll |
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148 | ZCHLABS= XAKACHL(JWL) |
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149 | ! *.2- Absorption by seawater |
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150 | ZAW= XAKAW3(JWL) |
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151 | ! *.3- Backscattering by seawater |
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152 | ZBW= XAKBW(JWL) |
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153 | ! *.4- Backscattering by chlorophyll |
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154 | ZYLMD = EXP(0.014*(440.0-ZWL)) |
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155 | ZAP(1:knon) = 0.06*ZCHLABS*ZWORK1(1:knon) +0.2*(XAW440+0.06*ZWORK1(1:knon))*ZYLMD |
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156 | |
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157 | !! WHERE ( ZCHL(1:knon) > 0.02 ) |
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158 | !! ZNU(:)=MIN(0.0,0.5*(ZWORK3(:)-0.3)) |
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159 | !! ZBBP(:)=(0.002+0.01*(0.5-0.25*ZWORK3(:))*(ZWL/550.)**ZNU(:))*ZWORK2(:) |
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160 | !! ELSEWHERE |
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161 | !! ZBBP(:)=0.019*(550./ZWL)*ZWORK2(:) !ZBBPf=0.0113 at chl<=0.02 |
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162 | !! ENDWHERE |
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163 | |
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164 | do JI = 1, knon |
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165 | IF (ZCHL(JI) > 0.02) THEN |
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166 | ZNU(JI)=MIN(0.0,0.5*(ZWORK3(JI)-0.3)) |
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167 | ZBBP(JI)=(0.002+0.01*(0.5-0.25*ZWORK3(JI))*(ZWL/550.)**ZNU(JI)) & |
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168 | *ZWORK2(JI) |
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169 | ELSE |
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170 | ZBBP(JI)=0.019*(550./ZWL)*ZWORK2(JI) !ZBBPf=0.0113 at chl<=0.02 |
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171 | ENDIF |
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172 | ENDDO |
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173 | |
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174 | ! Morel-Gentili(1991), Eq (12) |
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175 | ! ZHB=h/(h+2*ZBBPf*(1.-h)) |
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176 | ZHB(1:knon)=0.5*ZBW/(0.5*ZBW+ZBBP(1:knon)) |
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177 | |
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178 | !--------------------------------------------------------------------------------- |
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179 | ! 3- Compute direct water-leaving albedo (ZRW) |
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180 | !--------------------------------------------------------------------------------- |
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181 | ! Based on Morel & Gentilli 1991 parametrization |
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182 | ZR22(1:knon)=0.48168549-0.014894708*ZSIG(1:knon)-0.20703885*ZSIG(1:knon)**2 |
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183 | |
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184 | ! Use Morel 91 formula to compute the direct reflectance |
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185 | ! below the surface |
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186 | ZR00(1:knon)=(0.5*ZBW+ZBBP(1:knon))/(ZAW+ZAP(1:knon)) * & |
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187 | (0.6279-0.2227*ZHB(1:knon)-0.0513*ZHB(1:knon)**2 + & |
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188 | (-0.3119+0.2465*ZHB(1:knon))*ZCOSZEN(1:knon)) |
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189 | ZRW(1:knon)=ZR00(1:knon)*(1.-ZR22(1:knon))/(1.-ZR00(1:knon)*ZR22(1:knon)) |
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190 | |
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191 | !--------------------------------------------------------------------------------- |
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192 | ! 4- Compute diffuse water-leaving albedo (ZRWDF) |
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193 | !--------------------------------------------------------------------------------- |
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194 | ! as previous water-leaving computation but assumes a uniform incidence of |
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195 | ! shortwave at surface (ue) |
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196 | ZUE=0.676 ! equivalent u_unif for diffuse incidence |
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197 | ZUE2=SQRT(1.0-(1.0-ZUE**2)/ZREFM**2) |
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198 | ZRR0(1:knon)=0.50*(((ZUE2-ZREFM*ZUE)/(ZUE2+ZREFM*ZUE))**2 +((ZUE-ZREFM*ZUE2)/(ZUE+ZREFM*ZUE2))**2) |
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199 | ZRRR(1:knon)=0.50*(((ZUE2-1.34*ZUE)/(ZUE2+1.34*ZUE))**2 +((ZUE-1.34*ZUE2)/(ZUE+1.34*ZUE2))**2) |
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200 | ZR11DF(1:knon)=ZRR0(1:knon)-(0.0152-1.7873*ZUE+6.8972*ZUE**2-8.5778*ZUE**3+4.071*ZSIG(1:knon)-7.6446*ZUE*ZSIG(1:knon)) * & |
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201 | EXP(0.1643-7.8409*ZUE-3.5639*ZUE**2-2.3588*ZSIG(1:knon)+10.0538*ZUE*ZSIG(1:knon))*ZRR0(1:knon)/ZRRR(1:knon) |
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202 | |
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203 | ! Use Morel 91 formula to compute the diffuse |
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204 | ! reflectance below the surface |
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205 | ZR00(1:knon) = (0.5*ZBW+ZBBP(1:knon)) / (ZAW+ZAP(1:knon)) & |
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206 | * (0.6279-0.2227*ZHB(1:knon)-0.0513*ZHB(1:knon)**2 & |
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207 | + (-0.3119+0.2465*ZHB(1:knon))*ZUE) |
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208 | ZRWDF(1:knon)=ZR00(1:knon)*(1.-ZR22(1:knon))*(1.-ZR11DF(1:knon))/(1.-ZR00(1:knon)*ZR22(1:knon)) |
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209 | |
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210 | ! get waveband index inu for each nsw band |
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211 | SELECT CASE(nsw) |
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212 | CASE(2) |
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213 | IF (JWL.LE.49) THEN ! from 200 to 680 nm |
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214 | inu=1 |
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215 | ELSE ! from 690 to 4000 nm |
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216 | inu=2 |
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217 | ENDIF |
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218 | CASE(4) |
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219 | IF (JWL.LE.49) THEN ! from 200 to 680 nm |
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220 | inu=1 |
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221 | ELSE IF (JWL.LE.99) THEN ! from 690 to 1180 nm |
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222 | inu=2 |
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223 | ELSE IF (JWL.LE.218) THEN ! from 1190 to 2370 nm |
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224 | inu=3 |
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225 | ELSE ! from 2380 to 4000 nm |
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226 | inu=4 |
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227 | ENDIF |
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228 | CASE(6) |
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229 | IF (JWL.LE.5) THEN ! from 200 to 240 nm |
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230 | inu=1 |
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231 | ELSE IF (JWL.LE.24) THEN ! from 250 to 430 nm |
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232 | inu=2 |
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233 | ELSE IF (JWL.LE.49) THEN ! from 440 to 680 nm |
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234 | inu=3 |
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235 | ELSE IF (JWL.LE.99) THEN ! from 690 to 1180 nm |
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236 | inu=4 |
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237 | ELSE IF (JWL.LE.218) THEN ! from 1190 to 2370 nm |
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238 | inu=5 |
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239 | ELSE ! from 2380 to 4000 nm |
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240 | inu=6 |
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241 | ENDIF |
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242 | END SELECT |
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243 | |
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244 | ! partitionning direct and diffuse albedo |
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245 | ! excluding diffuse albedo ZRW on ZDIR_ALB |
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246 | |
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247 | !--direct |
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248 | alb_dir_new(1:knon,inu)=alb_dir_new(1:knon,inu) + & |
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249 | ( XFRWL(JWL) * ((1.-ZFWC(1:knon)) * (ZR11(1:knon)+ZRW(1:knon)) + ZFWC(1:knon)*XRWC(JWL)) )/SFRWL(inu) |
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250 | !--diffuse |
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251 | alb_dif_new(1:knon,inu)=alb_dif_new(1:knon,inu) + & |
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252 | ( XFRWL(JWL) * ((1.-ZFWC(1:knon)) * (ZRDF(1:knon)+ZRWDF(1:knon)) + ZFWC(1:knon)*XRWC(JWL)) )/SFRWL(inu) |
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253 | |
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254 | ENDDO ! ending loop over wavelengths |
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255 | |
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256 | END SUBROUTINE ocean_albedo |
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