PMIP Newsletter 1


 

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               *********************************************
               PALEOCLIMATE MODELING INTERCOMPARISON PROJECT
               *********************************************

                             Newsletter N.  1
                             ----------------
                             15 February 1993




Dear Participant,


The present newsletter describes the recommended boundary conditions
to be used for:

        -A- the fixed SST 6kyr BP experiment
        -B- the control run

We also provide you with a preliminary list of output fields that will be useful
for the intercomparison (-C-).

You will also find:     - an Appendix in which insolation values are
                          provided for you to check your insolation
                          calculations.
                        - an updated list of the PMIP participants.
                          Please do check all your informations again.
                          We would like to be able to send you a "final" list
                          in the next newsletter.


**************************
-A- THE 6kyr BP EXPERIMENT
**************************

The boundary conditions recommended for PMIP are:

*1*  SSTs and sea-ice prescribed at their present day value, as in the
     ----------------
     control run.

*2*  No change in the land-surface characteristics.
                      ----------------------------

*3*  Carry out a 10-year simulation with full seasonal cycle to account for
     ------------------------------
     interannual variability.

*4*  Greenhouse Gases
     ----------------

     #4.1#  Measurements from ice cores give the following concentrations
            at 6kyr BP (D.Raynaud, personal communication, June 1992):

                CO2     -       CH4     -       N20
        .....................................................

               280 ppm  -      650 ppb  -      280 ppb

     #4.2#  For models including only CO2:
            ..............................
            In order to be sure that we all get the same change in radiative
            forcing, we recommend setting the CO2 concentration for 6kyr BP
            as follows:
                        C(6kyr BP) = (280/345) * control run concentration
                                   = 0.81 * control run concentration
            345 ppm is the recommended value for CO2 concentration of
                    the simulated present-day climate
            280 ppm is the value at 6kyr BP obtained from ice core measurements

            Using the above formula, we will all get the same radiative forcing
            according to the IPCC report (1990):
                DF = 6.3 * ln(C/Co) = -1.3 W/m2

     #4.3#  For models including CO2 + other trace gases:
            .............................................
            In this case the problem is more complicated. We recommend that
            you set all your concentrations in order to get the same total
                                                                **********
            change in radiative forcing, that is -1.3W/m2. This value must
            ***************************
            include the effects of all the trace gases.

            The forcing by CH4, N2O and CFC being non negligible (e.g. table 2.6
            of the IPCC Report 1990),  to keep the same change in radiative
            forcing implies that EITHER you only reduce the CO2 concentration
            value and keep other trace gases unchanged (i.e. present-day value)
            OR you change the concentration values of all your trace gases, but
            the change in CO2 will then certainly be less than what we
            suggested above.

            As far as we know, the GISS AGCM is the only one to prescribe trace
            gases other than CO2. BUT,if some other groups are concerned, please
            do let us know and we'll give you a set of concentration values,
            in agreement with GISS.

*5*  Insolation
     ----------
     Insolation is the most important change to be prescribed in the boundary
     conditions for the 6kyr BP experiment. We must use the exact same forcing.


     #5.1#  The orbital parameters are given by Andre BERGER (JAS, 1978):
            ......................

            - Eccentricity:     0.018682
            - Obliquity:        24.105 degrees
            - Longitude of perihelion (w), relative to the moving vernal equinox
              minus 180 degrees, i.e. angle between autumnal equinox and
              perihelion:       0.87 degrees

     #5.2#  The solar constant must be kept as in the control run.
            ..................

     #5.3#  The problem of calendar
            .......................

            .5.3.1.  It is NECESSARY that we all use the same reference date
                           *********
                     for the 6kyr BP experiment, if we want to compare
                     "comparable" climates. We then recommend that you set
                     the 21 of March at noon (e.g. 21.00) as the date of your
                         *******************
                     vernal equinox for the 6kyr BP simulation (for 360 as well
                     as for 365-day year).

                     Indeed, defining a calendar at 6kyr BP is arbitrary.
                     Nevertheless it becomes very critical when we want to
                     compare 2 climatic periods. We then need to know how to
                     phase the 6kyr BP insolation pattern with the insolation
                     pattern for the present-day climate. This is not trivial
                     because the time intervals between equinoxes and solstices
                     varies with the orbital parameters.
                     For example, the number of days between the winter solstice
                     and the vernal equinox changes from 89 days nowadays to
                     93 days 6kyr BP (for a 365-day year).
                     Fixing the present date for the vernal equinox
                     or for the winter solstice, at 6 kyr BP, then leads to
                     2 calendars differing by 4 days around the vernal equinox.
                     A drift of 4 days in the insolation pattern is important:
                     it leads to differences in insolation of the order of
                     magnitude of the changes induced by the change in orbital
                     parameters!

            .5.3.2.  We recommend that you all keep DAILY VALUES
                                                    ************
                     for as many variables as possible.
                     Indeed we are working on defining a way to perform
                     time-averages for the analyses, in order to best account
                     for the change in insolation pattern. This part is still
                     under work and will be discussed in another newsletter.
                     We are also interested in keeping the daily values for
                     circulation diagnoses such as monsoon statistics and
                     transient circulation.

*6*  Checking insolation changes
     ---------------------------
     Before you start your simulations, we strongly advise that you check
     your computed insolation values. Indeed, Andre BERGER has warned us
     about the various approximations used by the GCMs that may induce
     differences in insolation that are not negligible with respect to the
     Milankovitch forcing. We thus provide you with tables for 1) the present-
     day and 2) 6 kyr BP minus present-day (see Appendix).
     We think that differences LARGER THAN 10% between your calculations of
                               ***************
     6 kyr BP minus present-day and ours SHOULD BE CORRECTED because they may
                                         *******************
     significantly alter the model-model comparisons.
     If your calculations differ that much from our tables, we
     recommend that you carefully check your insolation code and send us a mail
     message reporting on the differences you found. We can then help clear up
     the differences.


******************************
-B- THE CONTROL RUN (optional)
******************************

Although the minimum requirements for PMIP are that we all use the exact
same CHANGE in FORCING, we recommend that you redo your control run
(if you can or if you need to) using AMIP recommendations:

*1*  PMIP datasets will be used for SSTs and sea-ice.
     -----------------------------------------------
     They have been prepared at PCMDI and were calculated by averaging the
     10-year AMIP datasets (1979-1988). They are available from NGDC.

*2*  Solar constant = 1365 W/m2
     --------------

*3*  Orbital parameters (1950 AD):
     -----------------------------
            - Eccentricity:     0.016724
            - Obliquity:        23.446 degrees
            - Longitude of perihelion (w), relative to the moving vernal equinox
              minus 180 degrees, i.e. angle between autumnal equinox and
              perihelion:       102.04 degrees

*4*  CO2 concentration = 345 ppm
     -----------------

*5* Carry out a 10-year simulation with full seasonal cycle
                ------------------


*********************
-C- THE OUTPUT FIELDS
*********************

Here follows a preliminary list of outputs fields that we think will be
useful for model-model or/and model-data comparisons. This list is based
on the recommended diagnostics for AMIP (see AMIP newsletter N. 1, Sept.91)
and results from discussions with some of you.
Before finalizing the list of standard outputs for PMIP, to be gathered at
one location, we would appreciate your comments. We are thinking about
sending later a newsletter focused on this point.

LIST
----
        FIELDS                          #    UNITS      #
###############################################################
                                        #               #
* GENERAL FIELDS *                      #               #
..................                      #               #
                                        #               #
- Grid description                      #               #
- Surface elevation                     #      m        #
- Surface type and fraction             #               #
                                        #               #
                                        #               #
###############################################################
                                        #               #
* ENERGY BUDGETS *                      #      W/m2     #
..................                      #               #
                                        #               #
TOP OF THE ATMOSPHERE                   #               #
                                        #               #
- Incoming short-wave^                  #               #
- Reflected short-wave^                 #               #
- Outgoing long-wave^                   #               #
                                        #               #
SURFACE FLUXES                          #               #
                                        #               #
- Incident short-wave^                  #               #
- Reflected short-wave^                 #               #
- Net long-wave^                        #               #
- Sensible heat^                        #               #
- Latent heat^                          #               #
                                        #               #
###############################################################
                                        #               #
* HYDROLOGICAL CYCLE *                  #               #
......................                  #               #
                                        #               #
- Soil moisture                         #    kg/m2      #
- Snow mass                             #    kg/m2      #
- Liquid precipitation, both            #               #
  large-scale and convective^           #   mm/day      #
- Snow precipitation, both              #               #
  large-scale and convective^           #   mm/day      #
- Evaporation and sublimation^          #   mm/day      #
- Runoff                                #   mm/day      #
- Total precipitable water              #   kg/m2       #
                                        #               #
###############################################################
                                        #               #
* SURFACE CIRCULATION *                 #               #
.......................                 #               #
                                        #               #
- Surface air temperature               #   Celsius     #
- Ground temperature                    #   Celsius     #
- Sea-level pressure                    #     hPa       #
- Surface winds                         #     m/s       #
- Wind stress components^               #     N/m2      #
- Relative humidity                     #      %        #
                                        #               #
###############################################################
                                        #               #
* TROPOSPHERIC CIRCULATION *            #               #
............................            #               #
                                        #               #
- 500hPa geopotential height            #      m        #
                                        #               #
AT 850hPa AND 200hPa                    #               #
                                        #               #
- Temperature                           #    Celsius    #
- Zonal and meridional winds            #      m/s      #
- Specific humidity                     #     g/kg      #
- Streamfunction                        #     m2/s      #
- Velocity potential                    #     m2/s      #
- Geopotential height                   #       m       #
                                        #               #
###############################################################
                                        #               #
* CLOUDS and RADIATION *                #               #
........................                #               #
                                        #               #
- Total cloudiness                      #               #
- Clear-sky outgoing long-wave          #     W/m2      #
  radiation                             #     W/m2      #
- Top of the atmosphere clear-sky       #               #
  reflected short-wave radiation        #     W/m2      #
- Surface net clear-sky short-wave      #               #
  radiation                             #     W/m2      #
- Surface net clear-sky long-wave       #               #
  radiation                             #     W/m2      #
- Cloud liquid water (if possible)      #     g/m2      #
                                        #               #
###############################################################
                                        #               #
* MERIDIONAL-VERTICAL                   #               #
  DISTRIBUTION OF ZONAL MEANS *         #               #
...............................         #               #
                                        #               #
- Zonal and meridonal winds+            #     m/s       #
- Temperature+                          #   Celsius     #
- Specific humidity+                    #     g/kg      #
- Relative humidity+                    #               #
- Cloudiness+                           #      %        #
- Meridional streamfunction+            #     kg/s      #
                                        #               #
###############################################################

^ Accumulated
+ At the standard pressure levels 1000, 850, 700, 500, 400, 300, 250, 200, 150,
  100, 70, 50, 30, 20, 10 hPa






                                                Sincerely yours,

                                                Sylvie JOUSSAUME (LMCE, France)
                                                &    Karl TAYLOR (LLNL, USA)

**********
REFERENCES
**********
* IPCC Report or Climate Change, Cambridge University Press, 354 pp, 1990.

* Berger A., "Long-term variations of daily insolation and Quaternary
              climatic changes", JAS, 35, 2362-2367, 1978.


****
N.B.
****
*  Please note that, if you reply to our mail by doing "reply" instead of
   "mail paleo..." every PMIP participant will receive your response.
    .... This is one of the mysteries of the network!
*  If you want to communicate information to all of us, we will be happy
   to forward it for you.
   We are thinking of having a mailbox box here that will be used for this
   type of "mail-to-be shared". ... But we are not there yet.


***************************************
APPENDIX: About Insolation Computations
***************************************

        In the following, we provide tables and information concerning
insolation in order to help you check your insolation code.

All the results we give have been obtained using :
        - the orbital parameters given above in the present newsletter
        - a solar constant value of 1365 W/m2
        - a calendar based on the 21 of March at noon (21.00) for the
date of the vernal equinox.

All the values of insolation are given in W/m2. They are given at every 10
degree of latitude (no latitudinal band average is done!). All the computations
follow the method proposed by Berger (JAS, 1978) and are based on an
expansion accurate to order e**3 for the computation of the true longitude
(lambda, angle defining the Earth position relative to the Vernal Equinox).


1 - DATES of EQUINOXES and SOLSTICES
=====================================

Present orbit :
-------------

- 365 day year :
       date of vernal equinox      = 21.00 march
       date of summer solstice     = 21.73 June
       date of automnal equinox    = 23.30 Sept
       date of winter solstice     = 22.05 Dec
       date of perihelion          =  2.85 Jan
       date of aphelion            =  4.35 Jul

- 360 day year
       date of vernal equinox      = 21.00 march
       date of summer solstice     = 22.46 June
       date of automnal equinox    = 24.74 Sept
       date of winter solstice     = 23.26 Dec
       date of perihelion          =  4.91 Jan
       date of aphelion            =  4.91 Jul


6 kyr BP orbit :
--------------

- 365 day year :
       date of vernal equinox      = 21.00 march
       date of summer solstice     = 22.45 June
       date of automnal equinox    = 19.56 Sept
       date of winter solstice     = 17.61 Dec
       date of perihelion          = 20.42 Sept
       date of aphelion            = 21.92 March

- 360 day year
       date of vernal equinox      = 21.00 march
       date of summer solstice     = 23.17 June
       date of automnal equinox    = 21.06 Sept
       date of winter solstice     = 18.89 Dec
       date of perihelion          = 21.90 Sept
       date of aphelion            = 21.90 March


2 - INSOLATION
==============

        We give insolation values for :

        - monthly means, which depend on the length of the year and on the
reference date used

        - "mid-month" values which are daily mean insolation values
given for specific true longitude values


2.1  Monthly means
------------------

         * TODAY, 365 day year, 21.00 march vernal equinox
        --------------------------------------------------


LAT   JAN    FEB    MAR    APR    MAY    JUN    JUL    AUG    SEP    OCT    NOV    DEC
 90.    .00    .00  16.69 226.23 428.89 518.14 478.16 316.18  78.00    .00    .00    .00
 80.    .00    .50  58.88 229.60 422.37 510.27 470.89 311.54 116.50  10.87    .00    .00
 70.    .90  33.69 130.22 269.56 407.73 486.89 449.66 324.37 182.88  65.93   6.30    .00
 60.  40.79  99.47 199.95 320.61 423.31 473.71 449.70 362.23 246.58 135.19  57.36  26.96
 50. 106.32 169.74 264.21 365.91 444.60 480.35 462.83 397.32 303.52 203.70 124.80  89.30
 40. 177.08 237.91 320.71 401.78 458.73 482.52 470.22 423.65 351.54 267.46 194.75 159.64
 30. 246.98 300.58 367.62 426.40 462.36 475.32 467.72 438.95 389.07 323.90 262.21 230.72
 20. 312.37 355.26 403.46 438.71 454.24 457.13 453.93 442.15 414.90 371.05 323.99 298.46
 10. 370.54 400.05 427.12 438.20 434.07 427.68 428.57 432.88 428.22 407.35 377.68 359.92
  0. 419.41 433.45 437.87 424.80 402.22 387.51 392.10 411.28 428.62 431.65 421.40 412.83
-10. 457.41 454.42 435.39 398.91 359.59 337.71 345.54 377.98 416.07 443.17 453.75 455.49
-20. 483.47 462.35 419.75 361.34 307.55 279.91 290.39 334.01 390.96 441.61 473.83 486.69
-30. 497.12 457.13 391.43 313.29 247.92 216.25 228.65 280.86 354.07 427.05 481.26 505.91
-40. 498.65 439.17 351.32 256.36 183.04 149.47 162.86 220.41 306.54 400.06 476.35 513.42
-50. 489.55 409.59 300.70 192.61 116.05  83.43  96.55 155.11 249.89 361.73 460.39 510.91
-60. 474.04 370.62 241.20 124.69  51.89  24.98  35.60  88.41 185.96 313.84 436.76 503.60
-70. 471.00 327.91 174.97  56.98   4.71    .00    .34  27.26 117.10 259.78 417.97 517.18
-80. 492.67 308.85 105.78   6.81    .00    .00    .00    .17  47.56 214.03 431.43 542.01
-90. 500.27 313.10  64.32    .00    .00    .00    .00    .00   7.99 206.29 438.09 550.37



        * 6 kyrBP minus present day difference, 365 day year, 21.00 march ref
        ---------------------------------------------------------------------

LAT    JAN    FEB    MAR    APR    MAY    JUN    JUL    AUG    SEP    OCT    NOV    DEC
 90.    .00    .00   -.92  -6.82   4.84  27.06  34.52  11.41 -16.01    .00    .00    .00
 80.    .00    .09  -2.28  -6.73   4.77  26.65  34.00  11.60 -11.76  -5.56    .00    .00
 70.    .15   -.31  -5.40  -7.58   4.30  25.43  32.33  14.40  -6.75 -13.79  -4.01    .00
 60.  -1.66  -3.42  -8.57  -8.83   2.82  20.95  28.54  17.27  -2.09 -13.72 -11.83  -5.09
 50.  -4.79  -7.12 -11.53  -9.95   2.10  18.78  27.25  19.85   2.51 -11.47 -13.64  -8.30
 40.  -8.20 -10.88 -14.17 -10.82   1.51  17.03  26.07  21.92   6.97  -8.15 -13.64 -10.63
 30. -11.59 -14.46 -16.39 -11.38    .96  15.23  24.57  23.37  11.19  -4.19 -12.54 -12.36
 20. -14.77 -17.71 -18.12 -11.63    .44  13.25  22.62  24.15  15.05    .16 -10.60 -13.55
 10. -17.61 -20.49 -19.30 -11.54   -.05  11.10  20.21  24.22  18.43   4.71  -8.00 -14.22
  0. -20.02 -22.72 -19.91 -11.11   -.49   8.79  17.39  23.58  21.24   9.29  -4.87 -14.35
-10. -21.91 -24.33 -19.92 -10.35   -.89   6.40  14.22  22.24  23.39  13.76  -1.31 -13.95
-20. -23.24 -25.26 -19.32  -9.30  -1.22   4.00  10.81  20.25  24.82  17.99   2.58 -13.03
-30. -23.97 -25.50 -18.15  -7.98  -1.46   1.70   7.30  17.67  25.47  21.88   6.72 -11.59
-40. -24.12 -25.07 -16.44  -6.43  -1.61   -.36   3.88  14.59  25.33  25.36  11.12  -9.64
-50. -23.76 -24.03 -14.23  -4.73  -1.61  -1.94    .80  11.11  24.39  28.47  15.87  -7.13
-60. -23.10 -22.54 -11.62  -2.93  -1.37  -2.48  -1.36   7.39  22.65  31.43  21.53  -3.76
-70. -23.12 -21.06  -8.71  -1.18   -.26    .00   -.12   3.68  20.10  35.20  32.19   1.44
-80. -24.39 -21.65  -5.75   -.02    .00    .00    .00    .36  16.37  45.79  37.93   1.51
-90. -24.76 -22.08  -4.44    .00    .00    .00    .00    .00  12.55  52.14  38.52   1.53


        * TODAY, 360 day year, 21.00 march ref
        --------------------------------------


LAT   JAN    FEB    MAR    APR    MAY    JUN    JUL    AUG    SEP    OCT    NOV    DEC
 90.    .00    .00  14.32 220.76 425.37 517.27 481.36 326.53  89.18    .00    .00    .00
 80.    .00    .40  56.42 225.12 418.91 509.41 474.04 321.60 124.96  13.23    .00    .00
 70.    .41  30.86 127.79 266.40 404.82 486.07 452.55 331.24 189.96  70.96   7.88    .00
 60.  37.96  95.66 197.70 318.04 421.39 473.20 451.54 367.47 252.75 140.56  60.60  27.46
 50. 102.97 165.80 262.23 363.84 443.20 480.01 464.18 401.38 308.73 208.81 128.34  89.92
 40. 173.73 234.23 319.06 400.20 457.77 482.31 471.14 426.63 355.71 271.97 198.16 160.26
 30. 243.92 297.40 366.36 425.32 461.81 475.22 468.27 440.88 392.11 327.58 265.21 231.27
 20. 309.81 352.78 402.63 438.15 454.07 457.14 454.12 443.06 416.74 373.71 326.38 298.89
 10. 368.67 398.41 426.75 438.14 434.25 427.79 428.44 432.80 428.83 408.87 379.29 360.21
  0. 418.36 432.77 437.98 425.23 402.73 387.69 391.67 410.26 427.99 431.93 422.12 412.95
-10. 457.29 454.77 435.97 399.80 360.39 337.96 344.85 376.10 414.24 442.17 453.49 455.41
-20. 484.37 463.79 420.78 362.64 308.58 280.22 289.49 331.38 388.01 439.30 472.52 486.41
-30. 499.11 459.68 392.89 314.94 249.12 216.59 227.59 277.62 350.10 423.45 478.86 505.40
-40. 501.80 442.85 353.17 258.30 184.34 149.82 161.73 216.75 301.71 395.23 472.82 512.66
-50. 493.95 414.42 302.88 194.72 117.34  83.76  95.44 151.25 244.37 355.70 455.67 509.90
-60. 479.97 376.73 243.65 126.85  53.00  25.23  34.68  84.68 179.99 306.62 430.65 502.25
-70. 480.02 335.84 177.64  58.95   5.10    .00    .22  24.40 111.01 251.15 409.41 515.18
-80. 502.64 320.03 108.67   7.71    .00    .00    .00    .03  42.22 202.07 420.81 539.92
-90. 510.39 324.56  67.38    .00    .00    .00    .00    .00   5.16 191.75 427.30 548.25


        * 6 kyrBP minus present day, 360 day year, 21.00 march ref
        ----------------------------------------------------------


LAT    JAN    FEB    MAR    APR    MAY    JUN    JUL    AUG    SEP    OCT    NOV    DEC
 90.    .00    .00   -.79  -6.79   4.32  26.52  34.77  13.19 -16.25    .00    .00    .00
 80.    .00    .08  -2.16  -6.73   4.26  26.11  34.24  13.15 -11.17  -6.32    .00    .00
 70.    .10   -.21  -5.30  -7.64   3.80  24.92  32.58  15.53  -5.87 -13.93  -4.68    .00
 60.  -1.74  -3.23  -8.49  -8.93   2.40  20.51  28.63  18.15  -1.15 -13.48 -12.18  -5.42
 50.  -4.84  -6.91 -11.49 -10.08   1.70  18.37  27.24  20.55   3.44 -11.01 -13.80  -8.64
 40.  -8.19 -10.67 -14.16 -10.98   1.13  16.65  25.99  22.45   7.86  -7.54 -13.62 -10.88
 30. -11.49 -14.28 -16.42 -11.57    .60  14.87  24.43  23.74  11.99  -3.48 -12.32 -12.48
 20. -14.58 -17.55 -18.18 -11.84    .12  12.93  22.44  24.35  15.73    .94 -10.21 -13.51
 10. -17.34 -20.38 -19.40 -11.76   -.33  10.82  20.00  24.25  18.97   5.51  -7.44 -13.99
  0. -19.66 -22.66 -20.04 -11.33   -.73   8.56  17.14  23.45  21.62  10.09  -4.15 -13.93
-10. -21.48 -24.32 -20.07 -10.58  -1.08   6.21  13.96  21.96  23.59  14.52   -.46 -13.34
-20. -22.73 -25.31 -19.50  -9.51  -1.36   3.86  10.55  19.84  24.82  18.66   3.54 -12.22
-30. -23.40 -25.61 -18.35  -8.18  -1.56   1.61   7.05  17.14  25.28  22.44   7.77 -10.60
-40. -23.49 -25.25 -16.64  -6.61  -1.65   -.40   3.64  13.98  24.94  25.77  12.22  -8.47
-50. -23.09 -24.28 -14.45  -4.88  -1.61  -1.94    .61  10.45  23.81  28.70  16.99  -5.77
-60. -22.36 -22.86 -11.84  -3.05  -1.35  -2.46  -1.48   6.73  21.87  31.40  22.63  -2.17
-70. -22.28 -21.52  -8.92  -1.25   -.26    .00   -.10   3.14  19.11  34.78  33.09   3.53
-80. -23.45 -22.25  -5.96   -.04    .00    .00    .00    .17  15.01  44.73  39.58   3.69
-90. -23.81 -22.67  -4.66    .00    .00    .00    .00    .00  10.33  51.83  40.19   3.75


2.2  "MID-MONTH" values
-----------------------

        "Mid-month" values are obtained as daily mean insolation values
in W/m2 and are computed at fixed true longitudes with longitude increments
of 30 degrees, starting from the vernal equinox(Berger, JAS,1978) ... i.e.
around the 20th of each month.

 Using this definition, we have :
        longitude = 0   corresponds to the vernal equinox       (VE)
        longitude = 90  corresponds to the summer solstice      (SS)
        longitude = 180 corresponds to the autumnal equinox     (AE)
        longitude = 270 corresponds to the winter solstice      (WS)

These tables of "mid-month"values:
        1) allow direct comparisons of insolation at equinoxes and solstices
        2) avoid any problem of calendar, either between 0 and 6 kyr BP
           or between 360-day or 365-day years


        * "mid-month" values for present day orbit :
        -------------------------------------------
values are given for true longitude = 0, 30, 60 ... 330 degrees, starting from
the vernal equinox

       VE                    SS                   AE                   WS

LAT    0      30     60     90     120    150    180    210    240    270    300    330
 90.    .00 268.91 458.99 525.78 455.75 265.65    .00    .00    .00    .00    .00    .00
 80.  76.02 264.83 452.02 517.79 448.83 261.62  74.97    .00    .00    .00    .00    .00
 70. 149.73 293.64 431.31 494.07 428.27 290.08 147.65  41.80    .00    .00    .00  42.30
 60. 218.89 340.45 439.55 478.21 436.45 336.32 215.85 109.80  44.19  24.42  44.49 111.13
 50. 281.40 382.01 456.55 483.38 453.33 377.38 277.50 179.68 110.29  86.05 111.05 181.85
 40. 335.35 414.14 467.01 484.40 463.72 409.12 330.71 246.31 180.74 156.34 181.99 249.28
 30. 379.12 434.91 467.23 476.18 463.93 429.64 373.87 306.72 249.84 227.71 251.57 310.42
 20. 411.37 443.30 455.87 457.07 452.65 437.93 405.67 358.65 314.11 295.99 316.28 362.98
 10. 431.12 438.87 432.66 426.80 429.61 433.56 425.15 400.35 370.94 358.19 373.50 405.18
  0. 437.77 421.66 398.04 385.90 395.23 416.56 431.71 430.45 418.31 412.00 421.20 435.64
-10. 431.12 392.18 352.96 335.50 350.47 387.43 425.15 448.02 454.70 455.66 457.84 453.42
-20. 411.37 351.33 298.88 277.24 296.78 347.07 405.67 452.54 479.09 487.98 482.40 458.00
-30. 379.12 300.45 237.73 213.29 236.06 296.82 373.87 443.97 491.03 508.38 494.42 449.33
-40. 335.35 241.28 171.98 146.44 170.76 238.36 330.71 422.77 490.80 517.15 494.19 427.87
-50. 281.40 176.01 104.94  80.60 104.20 173.88 277.50 389.97 479.81 516.06 483.12 394.67
-60. 218.89 107.56  42.05  22.87  41.75 106.26 215.85 347.54 461.94 510.55 465.12 351.73
-70. 149.73  40.95    .00    .00    .00  40.45 147.65 299.76 453.28 527.48 456.41 303.37
-80.  76.02    .00    .00    .00    .00    .00  74.97 270.34 475.04 552.81 478.32 273.60
-90.    .00    .00    .00    .00    .00    .00    .00 274.52 482.37 561.33 485.70 277.83



        * "mid-month" values for the 6 kyr BP minus present day  difference :
        -------------------------------------------------------------------

        VE                   SS                   AE                   WS

LAT     0     30     60     90     120    150    180    210    240    270    300    330
 90.    .00    .99  14.92  31.77  36.20  22.30    .00    .00    .00    .00    .00    .00
 80.  -3.31    .98  14.69  31.29  35.65  21.96   3.38    .00    .00    .00    .00    .00
 70.  -6.52  -2.12  14.02  29.85  34.02  20.93   6.66  -1.35    .00    .00    .00  -4.39
 60.  -9.54  -4.05   9.69  24.84  29.89  22.56   9.74   -.23  -3.86  -4.20  -5.64  -8.42
 50. -12.26  -5.67   7.90  22.33  28.81  24.12  12.52   1.34  -4.91  -7.36  -9.53 -12.17
 40. -14.61  -7.05   6.42  20.33  27.74  25.19  14.93   3.05  -5.34  -9.83 -13.01 -15.55
 30. -16.52  -8.17   5.00  18.25  26.28  25.63  16.87   4.76  -5.37 -11.81 -16.06 -18.46
 20. -17.92  -9.01   3.61  15.96  24.32  25.39  18.31   6.40  -5.10 -13.33 -18.60 -20.80
 10. -18.78  -9.56   2.23  13.45  21.84  24.46  19.19   7.89  -4.56 -14.36 -20.55 -22.52
  0. -19.07  -9.81    .89  10.75  18.89  22.84  19.48   9.19  -3.79 -14.89 -21.87 -23.55
-10. -18.78  -9.74   -.36   7.94  15.55  20.58  19.19  10.25  -2.81 -14.91 -22.52 -23.87
-20. -17.92  -9.35  -1.50   5.10  11.93  17.77  18.31  11.05  -1.66 -14.40 -22.47 -23.46
-30. -16.52  -8.66  -2.46   2.36   8.18  14.49  16.87  11.56   -.34 -13.39 -21.72 -22.34
-40. -14.61  -7.68  -3.17   -.10   4.47  10.86  14.93  11.79   1.13 -11.85 -20.29 -20.54
-50. -12.26  -6.43  -3.53  -2.00   1.08   7.04  12.52  11.76   2.80  -9.78 -18.20 -18.12
-60.  -9.54  -4.91  -3.23  -2.68  -1.46   3.25   9.74  11.55   4.86  -6.93 -15.45 -15.14
-70.  -6.52  -3.06    .00    .00    .00   -.03   6.66  11.42   9.46  -2.96 -10.64 -11.69
-80.  -3.31    .00    .00    .00    .00    .00   3.38  13.39   9.91  -3.10 -11.15  -7.65
-90.    .00    .00    .00    .00    .00    .00    .00  13.60  10.06  -3.15 -11.32  -7.77


We hope all this information will help you ! Please let us know if it is unclear
or if you have any trouble!


********************
LIST OF PARTICIPANTS
********************

BARTLEIN Patrick        Department of Geography
                        University of Oregon
                        Eugene, Oregon 97403-1251
                        USA
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                email:  bartlein@oregon.uoregon.edu

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BERGER Andre            Institut d'Astronomie et de Geophysique G. Lemaitre
                        Universite Catholique de Louvain
                        2 Chemin du Cyclotron
                        B-1348 Louvain-la-Neuve
                        BELGIUM
                Tel.:   (32) 10 47.3297 (or: 47.3303)
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BRACONNOT Pascale       Laboratoire de Modelisation
                        du Climat et de l´Environnement
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                        C.E. Saclay
                        91191 Gif-sur-Yvette cedex
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BROCCOLI Anthony J.     NOAA / Geophysical Fluid Dynamics Laboratory
                        Princeton University
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BUDD William F.         Meteorology Department
                        University of Melbourne
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CHANDLER Mark           Goddard Institute for Space Studies / NASA
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FICHEFET Thierry        Institut d'Astronomie et de Geophysique G. Lemaitre
                        Universite Catholique de Louvain
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                Tel.:   (32) 10 47.3297 (or: 47.3295)
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GATES Larry             Lawrence Livermore National Laboratory
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                email:  gates@kuala.llnl.gov !!!! UNREACHABLE !!!!!
                                             **********************

GHIL Michael            Department of Atmospheric Sciences
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                        University of California
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                Tel.:   ?
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GUIOT Joel              Laboratoire de Botanique Historique et de Palynologie
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HALL Nick               Department of Meteorology
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HARRISON Sandy P.       Department of Physical Geography
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HEWITT Chris            Meteorological Office
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HOFFERT Martin          New York University
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HOVINE Stephane         Institut d'Astronomie et de Geophysique G. Lemaitre
                        Universite Catholique de Louvain
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IMBRIE John             Department of Geological Sciences
                        Brown University
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                Tel.:   1 (401) 863.3196
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JOUSSAUME Sylvie        Laboratoire de Modelisation
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                        C.E. Saclay
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KITOH Akio              Climate Research Division
                        Meteorological Research Institute
                        Tsukuba
                        Ibaraki
                        305 JAPAN
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KUKLA George            Lamont Observatory
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KUTZBACH John E.        Director, Center for Climatic Research
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LAUTENSCHLAGER Michael  Deutsches Klimarechenzentrum GmbH
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LE TREUT Herve          Laboratoire de Meteorologie Dynamique
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LOUTRE Marie-Francoise  Institut d'Astronomie et de Geophysique G. Lemaitre
                        Universite Catholique de Louvain
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MANABE Suki             NOAA / Geophysical Fluid Dynamics Laboratory
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McAVANEY Bryant         BMRC
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McFARLANE Norman A.     Canadian Climate Center
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MARSHALL Susan          EES-5 MS K 401
                        LANL
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MITCHELL John F.        Meteorological Office
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                                      **********************

MOLFINO Barbara         ?
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de NOBLET Nathalie      Laboratoire de Modelisation
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OGLESBY Robert J.       Department of Earth and Atmospheric Sciences
                        Purdue University
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OH Jai-Ho               Department of Astronomy & Atmospheric Sciences
                        Yonsei University
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PELTIER W.R.            Department of Physics
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POLLARD Dave            National Center for Atmospheric Research
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PRELL Warren            ?
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RAMSTEIN Gilles         Laboratoire de Modelisation
                        du Climat et de l´Environnement
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                        C.E. Saclay
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                email:  pmipweb@lsce.ipsl.fr

RIND David              Goddard Institute for Space Studies / NASA
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RUDDIMAN William        Department of Environmental Sciences
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                Tel.:   1 (804) 924.7964
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SCHLESINGER Michael     Department of Atmospheric Sciences
                        University of Illinois @ Urbana-Champaign
                        105 South Gregory Avenue
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                        USA
                Tel.:   1 (217) 333.2192
                Fax.:   1 (217) 244.4393
                email:  schlesin@crg50.atmos.uiuc.edu
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SCHNEIDER Steve         National Center for Atmospheric Research
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SLOAN Lisa              Institute of Marine Sciences
                        University of California
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                Fax.:   1 (408) ?
                email:  lcsloan@rupture.ucsc.edu

STREET-PERROTT Alayne    School of Geography
                        Mansfield Road
                        Oxford, OX13TB
                        UNITED KINGDOM
                Tel.:   (44) 865 271.919
                Fax.:   (44) 865 271.929
                email:  geog2@vax.oxford.ac.uk

SUAREZ M.               Code 913
                        NASA / GSFC
                        Greenbelt, MD 20771
                        USA
                Tel.:   1 (301) 286.7373
                Fax.:   1 (301) 286.4804
                email:  suarez@nino.gsfc.nasa.gov

SYKTUS Jozef I.         CSIRO Division of Atmospheric Research
                        Private Bag No. 1
                        Mordialloc, Victoria 3195
                        AUSTRALIA
                Tel.:   (61) 3 586.7548
                Fax.:   (61) 3 586.7600
                email:  jis@dar.csiro.au

TAYLOR Karl E.          Lawrence Livermore National Laboratory
                        P.O. Box 808, L-264
                        Livermore, CA 94550
                        USA
                Tel.:   1 (510) 423.3623
                Fax.:   1 (510) 422.7675
                email:  taylor13 (NEW! Please check the PMIP 'Contacts' web page)

THOMPSON Starley        National Center for Atmospheric Research
                        P.O. Box 3000
                        Boulder, CO 80307
                        USA
                Tel.:   ?
                Fax.:   1 (303) 497.1137
                email:  starley@ncar.ucar.edu

VALDES Paul             Department of Meteorology
                        University of Reading
                        2 Earley Gate
                        Whiteknigts, P.O. Box 329
                        Reading RG6 2AU
                        UNITED KINGDOM
                Tel.:   (44) 734 87.5123 (ext. 4235)
                Fax.:   (44) 734 35.2604
                email:  swsvalde@swssner1.reading.ac.uk

VERBITSKY Mikhail       Department of Geology & Geophysics
                        Yale University
                        P.O. Box 6666, Yale Station
                        New Haven, CT 06511
                        USA
                Tel.:   1 (203) 432.3159
                Fax.:   1 (203) 432.3134
                email:  verbitsky%climat@venus.ycc.yale.edu

WEBB Robin              National Geophysical Data Center
                        Paleoclimatology Program
                        325 Broadway E/GC
                        Boulder, CO 80303
                        USA
                Tel.:   1 (303) 497.6967
                Fax.:   1 (303) 497.6513
                email:  rsw@paleosun.ngdc.noaa.gov

WEBB Tom III            Department of Geological Sciences
                        Brown University
                        Providence, RI 02912-1846
                        USA
                Tel.:   1 (401) 863.3128
                Fax.:   1 (401) 863.2058
                email:  ge710006@brownvm  !!! UNREACHABLE !!!
                                          *******************



----------------------------------------------------------------------------
Contact Address:
################
        Laboratoire de Modelisation du Climat et de l´Environnement
        D.S.M. / Orme des Merisiers / Bat. 709
        C.E. Saclay
        9119 Gif-sur-Yvette cedex
        FRANCE

        Tel.:   (33) 1 69.08.77.11
        Fax.:   (33) 1 69.08.77.16
        email:   paleo (NEW! Please check the PMIP 'Contacts' web page)
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