MODELS OF POPULATION GROWTH
Growth Starting Population [1] Growth w/o Limit
Rate Population Limit [2] Low Growth Rate Under Limit
 Low Growth 5% per annum 500 1000000   [3] High Growth Rate Under Limit
High Growth 500% per annum      
  Simulation Years = 1 to 200
   
Data Table    
   
Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200
Growth w/o Limit 500 525 551 579 608 638 670 704 739 776 814 855 898 943 990 1039 1091 1146 1203 1263 1327 1393 1463 1536 1613 1693 1778 1867 1960 2058 2161 2269 2382 2502 2627 2758 2896 3041 3193 3352 3520 3696 3881 4075 4279 4493 4717 4953 5201 5461 5734 6020 6321 6637 6969 7318 7684 8068 8471 8895 9340 9807 10297 10812 11352 11920 12516 13142 13799 14489 15213 15974 16773 17611 18492 19416 20387 21407 22477 23601 24781 26020 27321 28687 30121 31627 33209 34869 36612 38443 40365 42383 44503 46728 49064 51517 54093 56798 59638 62620 65751 69038 72490 76115 79920 83916 88112 92518 97144 102001 107101 112456 118079 123983 130182 136691 143525 150702 158237 166149 174456 183179 192338 201955 212052 222655 233788 245477 257751 270639 284170 298379 313298 328963 345411 362681 380816 399856 419849 440842 462884 486028 510329 535846 562638 590770 620308 651324 683890 718085 753989 791688 831273 872836 916478 962302 1010417 1060938 1113985 1169684 1228168 1289577 1354055 1421758 1492846 1567488 1645863 1728156 1814564 1905292 2000557 2100584 2205614 2315894 2431689 2553274 2680937 2814984 2955733 3103520 3258696 3421631 3592712 3772348 3960965 4159014 4366964 4585312 4814578 5055307 5308072 5573476 5852150 6144757 6451995 6774595 7113325 7468991 7842440 8234562
Low Growth w/ Limit 500 525 551 578 606 636 668 701 735 771 809 849 891 935 980 1028 1079 1131 1187 1244 1305 1369 1435 1505 1577 1654 1733 1817 1904 1996 2091 2191 2296 2405 2519 2639 2763 2893 3029 3171 3319 3474 3635 3802 3977 4160 4349 4547 4753 4967 5189 5420 5660 5910 6169 6437 6715 7004 7302 7612 7931 8262 8603 8956 9319 9694 10080 10477 10886 11306 11737 12179 12632 13096 13571 14056 14552 15057 15572 16096 16628 17170 17718 18275 18838 19407 19982 20562 21146 21734 22325 22917 23512 24107 24702 25297 25889 26480 27068 27652 28232 28806 29375 29938 30494 31042 31583 32114 32637 33151 33654 34148 34631 35103 35564 36014 36453 36881 37297 37701 38093 38474 38844 39202 39548 39883 40207 40520 40822 41114 41394 41665 41925 42176 42417 42649 42871 43085 43290 43487 43676 43856 44030 44196 44355 44507 44652 44791 44924 45051 45173 45289 45400 45505 45606 45703 45795 45882 45966 46046 46122 46194 46264 46329 46392 46452 46509 46563 46615 46664 46711 46755 46798 46838 46876 46913 46948 46981 47012 47042 47071 47098 47124 47148 47171 47194 47215 47235 47254 47272 47289 47306 47321 47336 47350 47363 47376 47388 47400 47411
High Growth w/ Limit 500 1974 7782 30500 116799 407469 953680 174488 568965 968713 119716 416267 959806 152386 510200 987089 50340 188833 605041 943918 209102 653245 894738 372018 922801 281395 798738 634985 915527 305483 838044 536118 982347 68497 252032 744622 751132 738384 763034 714211 806248 617037 933394 245570 731799 775263 688209 847580 510292 987082 50369 188935 605292 943709 209834 654926 892692 378381 929075 260284 760518 719416 797334 638291 911959 317144 855427 488504 986978 50767 190350 608763 940774 220086 678010 862334 468922 983685 63394 234531 709128 814749 596185 950956 184222 593622 952878 177361 576320 964492 135276 462057 981813 70531 258949 757984 724605 788232 659343 887208 395276 944180 208183 651129 897282 364060 914505 308834 843149 522381 985521 56363 210084 655498 891990 380559 931148 253239 746981 746552 747389 745755 748937 742720 754794 731065 776605 685284 851896 498368 987489 48798 183347 591438 954475 171639 561606 972508 105606 373092 923882 277779 792440 649690 898992 358683 908616 327980 870616 444944 975527 94303 337368 883026 408000 954067 173100 565389 970611 112675 394918 943883 209222 653521 894404 373059 923850 277889 792633 649246 899517 357027 906757 333968 878612 421279 963022 140663 477463 985494 56469 210457 656350 890941 383803 934168 242918 726441 784962 666747 877672 424086 964736 134380 459471 981012 73580 269256 777190 684003
When the yellow line is examined closely - Growth under limits - It looks like a giant S. It started fast then slowed down.
When the teal line is examined closely it reveals that when high growth rates occure under an upper limit the
result is chaotic.
In the chaotic system it is impossible to determine from one year to the next whether there will be a lot of
change or little change or whether the change will be positive (growth) or decline.