         Age_diff (years)               Probability                 HPD_68.2%                 HPD_95.4% 
                        0                         0                         0                         0 
                       10                2.0987e-06                         0                         0 
                       20               1.00738e-05                         0                         0 
                       30               0.000132218                         0                         0 
                       40               0.000273712                         0                         0 
                       50               0.000273712                         0                         0 
                       60               0.000500417                         0                         0 
                       70               0.000850098                         0                         0 
                       80               0.000889496                         0                         0 
                       90                0.00094808                         0                         0 
                      100                0.00117838                         0                         0 
                      110                0.00101752                         0                         0 
                      120               0.000737466                         0                         0 
                      130               0.000821354                         0                         0 
                      140               0.000765845                         0                         0 
                      150               0.000903985                         0                         0 
                      160                0.00100551                         0                         0 
                      170                0.00105985                         0                         0 
                      180                0.00133954                         0                         0 
                      190                 0.0013636                         0                         0 
                      200               0.000995168                         0                         0 
                      210                0.00127769                         0                         0 
                      220                0.00172069                         0                         0 
                      230                0.00146194                         0                         0 
                      240                0.00145538                         0                         0 
                      250                0.00173286                         0                         0 
                      260                0.00179666                         0                         0 
                      270                0.00185507                         0                         0 
                      280                 0.0021562                         0                         0 
                      290                0.00268904                         0                0.00268904 
                      300                0.00324946                         0                0.00324946 
                      310                0.00346787                         0                0.00346787 
                      320                0.00323101                         0                0.00323101 
                      330                0.00336149                         0                0.00336149 
                      340                0.00367505                         0                0.00367505 
                      350                 0.0034875                         0                 0.0034875 
                      360                0.00392414                         0                0.00392414 
                      370                0.00416088                         0                0.00416088 
                      380                0.00346292                         0                0.00346292 
                      390                0.00277471                         0                0.00277471 
                      400                  0.002721                         0                  0.002721 
                      410                0.00182826                         0                         0 
                      420                0.00186141                         0                         0 
                      430                0.00253451                         0                0.00253451 
                      440                0.00305227                         0                0.00305227 
                      450                0.00381265                         0                0.00381265 
                      460                0.00444346                         0                0.00444346 
                      470                0.00475138                         0                0.00475138 
                      480                0.00528323                         0                0.00528323 
                      490                0.00524225                         0                0.00524225 
                      500                0.00427571                         0                0.00427571 
                      510                0.00399272                         0                0.00399272 
                      520                 0.0036969                         0                 0.0036969 
                      530                0.00396605                         0                0.00396605 
                      540                0.00438246                         0                0.00438246 
                      550                0.00484196                         0                0.00484196 
                      560                0.00558043                         0                0.00558043 
                      570                0.00635699                         0                0.00635699 
                      580                0.00610376                         0                0.00610376 
                      590                0.00634007                         0                0.00634007 
                      600                 0.0068452                         0                 0.0068452 
                      610                0.00758126                0.00758126                0.00758126 
                      620                 0.0083221                 0.0083221                 0.0083221 
                      630                0.00881294                0.00881294                0.00881294 
                      640                 0.0091018                 0.0091018                 0.0091018 
                      650                0.00925122                0.00925122                0.00925122 
                      660                0.00956185                0.00956185                0.00956185 
                      670                0.00936702                0.00936702                0.00936702 
                      680                0.00863832                0.00863832                0.00863832 
                      690                0.00875484                0.00875484                0.00875484 
                      700                 0.0090174                 0.0090174                 0.0090174 
                      710                0.00844908                0.00844908                0.00844908 
                      720                0.00986108                0.00986108                0.00986108 
                      730                 0.0113661                 0.0113661                 0.0113661 
                      740                 0.0105188                 0.0105188                 0.0105188 
                      750                 0.0100089                 0.0100089                 0.0100089 
                      760                0.00990306                0.00990306                0.00990306 
                      770                0.00784377                0.00784377                0.00784377 
                      780                0.00660938                         0                0.00660938 
                      790                0.00762031                0.00762031                0.00762031 
                      800                0.00780362                0.00780362                0.00780362 
                      810                0.00725634                0.00725634                0.00725634 
                      820                0.00746635                0.00746635                0.00746635 
                      830                0.00777227                0.00777227                0.00777227 
                      840                 0.0075358                 0.0075358                 0.0075358 
                      850                0.00757744                0.00757744                0.00757744 
                      860                0.00884473                0.00884473                0.00884473 
                      870                0.00971974                0.00971974                0.00971974 
                      880                0.00914229                0.00914229                0.00914229 
                      890                0.00818265                0.00818265                0.00818265 
                      900                0.00840838                0.00840838                0.00840838 
                      910                0.00786626                0.00786626                0.00786626 
                      920                0.00681601                         0                0.00681601 
                      930                0.00796766                0.00796766                0.00796766 
                      940                0.00919999                0.00919999                0.00919999 
                      950                0.00850651                0.00850651                0.00850651 
                      960                0.00765409                0.00765409                0.00765409 
                      970                0.00696847                         0                0.00696847 
                      980                 0.0069718                 0.0069718                 0.0069718 
                      990                0.00764423                0.00764423                0.00764423 
                     1000                0.00794362                0.00794362                0.00794362 
                     1010                0.00906586                0.00906586                0.00906586 
                     1020                  0.010862                  0.010862                  0.010862 
                     1030                0.00973863                0.00973863                0.00973863 
                     1040                0.00884456                0.00884456                0.00884456 
                     1050                0.00995329                0.00995329                0.00995329 
                     1060                 0.0100048                 0.0100048                 0.0100048 
                     1070                0.00928883                0.00928883                0.00928883 
                     1080                 0.0097064                 0.0097064                 0.0097064 
                     1090                0.00934997                0.00934997                0.00934997 
                     1100                0.00856156                0.00856156                0.00856156 
                     1110                0.00847971                0.00847971                0.00847971 
                     1120                0.00839863                0.00839863                0.00839863 
                     1130                0.00880491                0.00880491                0.00880491 
                     1140                0.00905744                0.00905744                0.00905744 
                     1150                 0.0100361                 0.0100361                 0.0100361 
                     1160                  0.010658                  0.010658                  0.010658 
                     1170                  0.010185                  0.010185                  0.010185 
                     1180                 0.0102581                 0.0102581                 0.0102581 
                     1190                 0.0110372                 0.0110372                 0.0110372 
                     1200                0.00964337                0.00964337                0.00964337 
                     1210                0.00845335                0.00845335                0.00845335 
                     1220                0.00862126                0.00862126                0.00862126 
                     1230                0.00854129                0.00854129                0.00854129 
                     1240                0.00809492                0.00809492                0.00809492 
                     1250                 0.0081647                 0.0081647                 0.0081647 
                     1260                0.00833173                0.00833173                0.00833173 
                     1270                0.00879095                0.00879095                0.00879095 
                     1280                0.00798394                0.00798394                0.00798394 
                     1290                0.00775931                0.00775931                0.00775931 
                     1300                0.00826771                0.00826771                0.00826771 
                     1310                0.00765631                0.00765631                0.00765631 
                     1320                 0.0071993                 0.0071993                 0.0071993 
                     1330                0.00724427                0.00724427                0.00724427 
                     1340                0.00692262                         0                0.00692262 
                     1350                0.00636814                         0                0.00636814 
                     1360                 0.0071118                 0.0071118                 0.0071118 
                     1370                0.00768466                0.00768466                0.00768466 
                     1380                0.00704424                0.00704424                0.00704424 
                     1390                0.00663907                         0                0.00663907 
                     1400                0.00590738                         0                0.00590738 
                     1410                0.00504941                         0                0.00504941 
                     1420                0.00502217                         0                0.00502217 
                     1430                0.00598845                         0                0.00598845 
                     1440                0.00634045                         0                0.00634045 
                     1450                0.00695873                         0                0.00695873 
                     1460                0.00832376                0.00832376                0.00832376 
                     1470                 0.0082316                 0.0082316                 0.0082316 
                     1480                0.00843297                0.00843297                0.00843297 
                     1490                0.00891678                0.00891678                0.00891678 
                     1500                0.00857629                0.00857629                0.00857629 
                     1510                0.00705952                0.00705952                0.00705952 
                     1520                0.00628397                         0                0.00628397 
                     1530                0.00491694                         0                0.00491694 
                     1540                0.00337912                         0                0.00337912 
                     1550                0.00371385                         0                0.00371385 
                     1560                0.00391278                         0                0.00391278 
                     1570                0.00397968                         0                0.00397968 
                     1580                0.00470982                         0                0.00470982 
                     1590                0.00471491                         0                0.00471491 
                     1600                0.00396439                         0                0.00396439 
                     1610                0.00337026                         0                0.00337026 
                     1620                0.00290595                         0                0.00290595 
                     1630                0.00236455                         0                0.00236455 
                     1640                0.00260025                         0                0.00260025 
                     1650                0.00279807                         0                0.00279807 
                     1660                0.00236942                         0                0.00236942 
                     1670                0.00268841                         0                0.00268841 
                     1680                0.00303798                         0                0.00303798 
                     1690                0.00251784                         0                0.00251784 
                     1700                0.00245293                         0                0.00245293 
                     1710                0.00263458                         0                0.00263458 
                     1720                0.00197311                         0                         0 
                     1730                0.00144478                         0                         0 
                     1740                0.00131408                         0                         0 
                     1750                0.00091733                         0                         0 
                     1760               0.000925748                         0                         0 
                     1770               0.000690268                         0                         0 
                     1780               0.000451466                         0                         0 
                     1790               0.000455896                         0                         0 
                     1800               0.000353774                         0                         0 
                     1810               0.000105224                         0                         0 
                     1820               0.000135351                         0                         0 
                     1830               0.000270924                         0                         0 
                     1840               0.000266493                         0                         0 
                     1850               0.000394977                         0                         0 
                     1860                0.00051903                         0                         0 
                     1870               0.000395198                         0                         0 
                     1880               0.000268487                         0                         0 
                     1890               0.000268487                         0                         0 
                     1900               0.000133468                         0                         0 
                     1910               9.41476e-06                         0                         0 
                     1920               9.41476e-06                         0                         0 
                     1930                5.5381e-07                         0                         0 
                     1940                5.5381e-07                         0                         0 
                     1950                         0                         0                         0 
                     1960                         0                         0                         0 
                     1970                         0                         0                         0 
                     1980                         0                         0                         0 
                     1990                         0                         0                         0 
                     2000                         0                         0                         0 
                     2010                         0                         0                         0 
                     2020                         0                         0                         0 
                     2030                         0                         0                         0 
                     2040                         0                         0                         0 
                     2050                         0                         0                         0 
                     2060                         0                         0                         0 
                     2070                         0                         0                         0 
                     2080                         0                         0                         0 
                     2090                         0                         0                         0 
                     2100                         0                         0                         0 
                     2110                         0                         0                         0 
                     2120                         0                         0                         0 
                     2130                         0                         0                         0 
                     2140                         0                         0                         0 
                     2150                         0                         0                         0 
                     2160                         0                         0                         0 
                     2170                         0                         0                         0 
                     2180                         0                         0                         0 
                     2190                         0                         0                         0 
                     2200                         0                         0                         0 
                     2210                         0                         0                         0 
                     2220                         0                         0                         0 
                     2230                         0                         0                         0 
                     2240                         0                         0                         0 
                     2250                         0                         0                         0 
                     2260                         0                         0                         0 
                     2270                         0                         0                         0 
                     2280                         0                         0                         0 
                     2290                         0                         0                         0 
                     2300                         0                         0                         0 
                     2310                         0                         0                         0 
                     2320                         0                         0                         0 
                     2330                         0                         0                         0 
                     2340                         0                         0                         0 
                     2350                         0                         0                         0 
                     2360                         0                         0                         0 
                     2370                         0                         0                         0 
                     2380                         0                         0                         0 
                     2390                         0                         0                         0 
                     2400                         0                         0                         0 
                     2410                         0                         0                         0 
                     2420                         0                         0                         0 
                     2430                         0                         0                         0 
                     2440                         0                         0                         0 
                     2450                         0                         0                         0 
                     2460                         0                         0                         0 
                     2470                         0                         0                         0 
                     2480                         0                         0                         0 
                     2490                         0                         0                         0 
                     2500                         0                         0                         0 
                     2510                         0                         0                         0 
                     2520                         0                         0                         0 
                     2530                         0                         0                         0 
                     2540                         0                         0                         0 
                     2550                         0                         0                         0 
                     2560                         0                         0                         0 
                     2570                         0                         0                         0 
                     2580                         0                         0                         0 
                     2590                         0                         0                         0 
                     2600                         0                         0                         0 
                     2610                         0                         0                         0 
                     2620                         0                         0                         0 
                     2630                         0                         0                         0 
                     2640                         0                         0                         0 
                     2650                         0                         0                         0 
                     2660                         0                         0                         0 
                     2670                         0                         0                         0 
                     2680                         0                         0                         0 
                     2690                         0                         0                         0 
                     2700                         0                         0                         0 
                     2710                         0                         0                         0 
                     2720                         0                         0                         0 
                     2730                         0                         0                         0 
                     2740                         0                         0                         0 
                     2750                         0                         0                         0 
                     2760                         0                         0                         0 
                     2770                         0                         0                         0 
                     2780                         0                         0                         0 
                     2790                         0                         0                         0 
                     2800                         0                         0                         0 
                     2810                         0                         0                         0 
                     2820                         0                         0                         0 
                     2830                         0                         0                         0 
                     2840                         0                         0                         0 
                     2850                         0                         0                         0 
                     2860                         0                         0                         0 
                     2870                         0                         0                         0 
                     2880                         0                         0                         0 
                     2890                         0                         0                         0 
                     2900                         0                         0                         0 
                     2910                         0                         0                         0 
                     2920                         0                         0                         0 
                     2930                         0                         0                         0 
                     2940                         0                         0                         0 
                     2950                         0                         0                         0 
                     2960                         0                         0                         0 
                     2970                         0                         0                         0 
                     2980                         0                         0                         0 
                     2990                         0                         0                         0 
                     3000                         0                         0                         0 
                     3010                         0                         0                         0 
                     3020                         0                         0                         0 
                     3030                         0                         0                         0 
                     3040                         0                         0                         0 
                     3050                         0                         0                         0 
                     3060                         0                         0                         0 
                     3070                         0                         0                         0 
                     3080                         0                         0                         0 
                     3090                         0                         0                         0 
                     3100                         0                         0                         0 
                     3110                         0                         0                         0 
                     3120                         0                         0                         0 
                     3130                         0                         0                         0 
                     3140                         0                         0                         0 
                     3150                         0                         0                         0 
                     3160                         0                         0                         0 
                     3170                         0                         0                         0 
                     3180                         0                         0                         0 
                     3190                         0                         0                         0 
                     3200                         0                         0                         0 
                     3210                         0                         0                         0 
                     3220                         0                         0                         0 
                     3230                         0                         0                         0 
                     3240                         0                         0                         0 
                     3250                         0                         0                         0 
                     3260                         0                         0                         0 
                     3270                         0                         0                         0 
                     3280                         0                         0                         0 
                     3290                         0                         0                         0 
                     3300                         0                         0                         0 
                     3310                         0                         0                         0 
                     3320                         0                         0                         0 
                     3330                         0                         0                         0 
                     3340                         0                         0                         0 
                     3350                         0                         0                         0 
                     3360                         0                         0                         0 
                     3370                         0                         0                         0 
                     3380                         0                         0                         0 
                     3390                         0                         0                         0 
                     3400                         0                         0                         0 
                     3410                         0                         0                         0 
                     3420                         0                         0                         0 
                     3430                         0                         0                         0 
                     3440                         0                         0                         0 
                     3450                         0                         0                         0 
                     3460                         0                         0                         0 
                     3470                         0                         0                         0 
                     3480                         0                         0                         0 
                     3490                         0                         0                         0 
                     3500                         0                         0                         0 
                     3510                         0                         0                         0 
                     3520                         0                         0                         0 
                     3530                         0                         0                         0 
                     3540                         0                         0                         0 
                     3550                         0                         0                         0 
                     3560                         0                         0                         0 
                     3570                         0                         0                         0 
                     3580                         0                         0                         0 
                     3590                         0                         0                         0 
                     3600                         0                         0                         0 
                     3610                         0                         0                         0 
                     3620                         0                         0                         0 
                     3630                         0                         0                         0 
                     3640                         0                         0                         0 
                     3650                         0                         0                         0 
                     3660                         0                         0                         0 
                     3670                         0                         0                         0 
                     3680                         0                         0                         0 
                     3690                         0                         0                         0 
                     3700                         0                         0                         0 
                     3710                         0                         0                         0 
                     3720                         0                         0                         0 
                     3730                         0                         0                         0 
                     3740                         0                         0                         0 
                     3750                         0                         0                         0 
