Spatial Point Pattern Analysis
Lansing Woods Hickories and Maples

Options PS=55 LS=80 PageNo=1 NoDate
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GOptions TargetDevice=WinPrtC
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         VSize=6 in HSize=6 in
         HText=1 FText=Swiss HTitle=1 FTitle=Swiss;

%INCLUDE "spatial.sas" / NOSOURCE2;

Title1 "Lansing Woods Hickories";
Data Hickories;
 Length Species $13;
 Retain Species "Hickory";
 Input X Y @@;
DataLines;
0.069 0.014 0.049 0.057 0.094 0.015 0.106 0.036 0.130 0.126
0.081 0.079 0.027 0.068 0.027 0.069 0.034 0.081 0.066 0.132
0.040 0.115 0.031 0.108 0.040 0.074 0.041 0.074 0.039 0.156
0.023 0.207 0.098 0.142 0.084 0.176 0.053 0.221 0.035 0.300
0.036 0.310 0.050 0.284 0.027 0.327 0.108 0.307 0.134 0.328
0.143 0.353 0.128 0.379 0.105 0.411 0.129 0.385 0.036 0.358
0.030 0.360 0.028 0.354 0.031 0.376 0.030 0.453 0.068 0.453
0.075 0.490 0.047 0.474 0.023 0.486 0.069 0.481 0.076 0.422
0.082 0.458 0.089 0.444 0.107 0.437 0.146 0.444 0.089 0.473
0.078 0.470 0.084 0.513 0.110 0.516 0.132 0.518 0.122 0.539
0.124 0.555 0.124 0.563 0.103 0.537 0.091 0.555 0.118 0.554
0.027 0.539 0.079 0.562 0.025 0.605 0.026 0.587 0.030 0.571
0.039 0.594 0.047 0.582 0.054 0.580 0.077 0.594 0.070 0.635
0.054 0.617 0.042 0.589 0.069 0.567 0.081 0.620 0.092 0.575
0.102 0.571 0.147 0.569 0.131 0.618 0.098 0.620 0.120 0.608
0.081 0.671 0.102 0.676 0.116 0.680 0.118 0.683 0.094 0.701
0.079 0.648 0.065 0.671 0.047 0.701 0.053 0.709 0.035 0.701
0.030 0.692 0.026 0.684 0.047 0.666 0.064 0.694 0.032 0.711
0.024 0.727 0.027 0.741 0.035 0.725 0.040 0.732 0.045 0.721
0.070 0.712 0.045 0.760 0.032 0.772 0.080 0.721 0.078 0.725
0.092 0.732 0.097 0.720 0.136 0.763 0.127 0.773 0.106 0.747
0.131 0.752 0.109 0.772 0.145 0.787 0.095 0.804 0.129 0.807
0.142 0.844 0.135 0.843 0.100 0.794 0.010 0.795 0.027 0.787
0.028 0.799 0.029 0.814 0.064 0.838 0.009 0.819 0.027 0.877
0.038 0.866 0.037 0.882 0.054 0.851 0.066 0.867 0.070 0.903
0.068 0.912 0.063 0.910 0.035 0.900 0.034 0.899 0.024 0.907
0.001 0.864 0.054 0.865 0.061 0.863 0.077 0.867 0.085 0.855
0.116 0.882 0.120 0.886 0.136 0.863 0.142 0.881 0.127 0.899
0.115 0.905 0.101 0.921 0.137 0.911 0.123 0.893 0.101 0.923
0.123 0.925 0.136 0.978 0.127 0.939 0.115 0.942 0.114 0.950
0.108 0.965 0.105 0.959 0.104 0.975 0.081 0.974 0.078 0.952
0.026 0.939 0.035 0.942 0.071 0.931 0.076 0.953 0.065 0.981
0.064 0.981 0.047 0.749 0.041 0.960 0.031 0.965 0.031 0.963
0.052 0.949 0.207 0.918 0.183 0.908 0.172 0.908 0.175 0.880
0.216 0.892 0.219 0.853 0.160 0.864 0.198 0.852 0.278 0.912
0.245 0.912 0.229 0.896 0.240 0.889 0.246 0.896 0.274 0.890
0.219 0.945 0.244 0.947 0.279 0.979 0.288 0.924 0.234 0.943
0.209 0.922 0.168 0.922 0.163 0.932 0.170 0.763 0.163 0.767
0.154 0.767 0.159 0.756 0.157 0.723 0.179 0.748 0.166 0.724
0.281 0.780 0.258 0.768 0.229 0.815 0.238 0.816 0.249 0.829
0.248 0.835 0.279 0.804 0.265 0.802 0.225 0.792 0.228 0.789
0.153 0.831 0.162 0.846 0.167 0.812 0.176 0.815 0.174 0.831
0.203 0.839 0.211 0.827 0.160 0.784 0.186 0.845 0.155 0.607
0.193 0.568 0.174 0.598 0.166 0.610 0.268 0.592 0.258 0.590
0.260 0.582 0.253 0.703 0.276 0.677 0.289 0.672 0.207 0.700
0.156 0.670 0.162 0.680 0.148 0.661 0.161 0.489 0.209 0.495
0.224 0.477 0.228 0.487 0.222 0.457 0.220 0.445 0.238 0.550
0.247 0.519 0.229 0.522 0.221 0.521 0.254 0.498 0.262 0.524
0.159 0.555 0.212 0.527 0.158 0.527 0.201 0.521 0.193 0.325
0.216 0.325 0.286 0.408 0.289 0.409 0.223 0.402 0.229 0.400
0.211 0.395 0.212 0.255 0.184 0.288 0.198 0.062 0.183 0.000
0.148 0.015 0.185 0.013 0.251 0.066 0.256 0.013 0.271 0.016
0.258 0.019 0.234 0.012 0.242 0.126 0.242 0.136 0.268 0.108
0.265 0.088 0.253 0.104 0.256 0.071 0.398 0.154 0.416 0.167
0.424 0.156 0.413 0.182 0.370 0.251 0.419 0.273 0.385 0.273
0.290 0.293 0.394 0.307 0.404 0.312 0.415 0.306 0.417 0.326
0.372 0.368 0.302 0.008 0.320 0.061 0.294 0.066 0.406 0.008
0.289 0.095 0.339 0.131 0.409 0.408 0.404 0.418 0.335 0.407
0.354 0.422 0.310 0.438 0.332 0.426 0.317 0.465 0.338 0.477
0.394 0.436 0.417 0.450 0.427 0.436 0.430 0.447 0.474 0.477
0.329 0.532 0.330 0.531 0.335 0.508 0.353 0.561 0.323 0.613
0.348 0.620 0.347 0.667 0.409 0.649 0.356 0.709 0.304 0.701
0.331 0.718 0.307 0.716 0.323 0.737 0.331 0.727 0.333 0.746
0.342 0.725 0.347 0.727 0.358 0.725 0.360 0.769 0.342 0.771
0.344 0.761 0.346 0.755 0.302 0.752 0.304 0.769 0.318 0.781
0.333 0.763 0.387 0.722 0.425 0.719 0.370 0.775 0.405 0.847
0.419 0.819 0.408 0.833 0.398 0.832 0.390 0.839 0.367 0.830
0.304 0.785 0.308 0.792 0.314 0.802 0.328 0.787 0.329 0.847
0.312 0.654 0.321 0.865 0.325 0.882 0.323 0.902 0.294 0.909
0.380 0.856 0.389 0.927 0.425 0.973 0.384 0.972 0.366 0.973
0.307 0.985 0.291 0.986 0.412 0.946 0.465 0.897 0.463 0.915
0.440 0.987 0.461 0.987 0.497 0.958 0.438 0.756 0.553 0.760
0.576 0.833 0.475 0.834 0.436 0.841 0.513 0.703 0.538 0.522
0.459 0.486 0.490 0.489 0.498 0.471 0.501 0.435 0.501 0.446
0.444 0.435 0.578 0.501 0.543 0.470 0.556 0.465 0.540 0.452
0.448 0.542 0.459 0.537 0.491 0.522 0.475 0.522 0.459 0.527
0.492 0.561 0.456 0.530 0.438 0.350 0.473 0.332 0.473 0.308
0.556 0.354 0.437 0.421 0.446 0.412 0.508 0.410 0.482 0.403
0.487 0.182 0.439 0.157 0.534 0.254 0.569 0.127 0.495 0.119
0.439 0.104 0.459 0.094 0.693 0.006 0.686 0.008 0.708 0.133
0.657 0.128 0.577 0.105 0.608 0.098 0.619 0.132 0.609 0.126
0.631 0.168 0.621 0.201 0.620 0.203 0.617 0.190 0.708 0.184
0.671 0.218 0.619 0.347 0.659 0.354 0.694 0.376 0.682 0.377
0.601 0.385 0.585 0.404 0.616 0.491 0.615 0.492 0.636 0.496
0.639 0.492 0.682 0.442 0.712 0.458 0.706 0.476 0.696 0.466
0.672 0.476 0.658 0.494 0.714 0.501 0.661 0.525 0.673 0.534
0.660 0.562 0.629 0.516 0.617 0.537 0.604 0.543 0.588 0.547
0.584 0.595 0.609 0.597 0.712 0.584 0.703 0.618 0.667 0.702
0.666 0.715 0.579 0.718 0.641 0.739 0.602 0.753 0.695 0.737
0.686 0.751 0.672 0.762 0.656 0.721 0.659 0.795 0.598 0.839
0.619 0.841 0.584 0.855 0.629 0.910 0.585 0.854 0.654 0.851
0.654 0.897 0.661 0.937 0.683 0.948 0.680 0.987 0.677 0.923
0.663 0.958 0.627 0.952 0.639 0.935 0.640 0.983 0.640 0.983
0.623 0.986 0.608 0.979 0.596 0.989 0.639 0.983 0.767 0.922
0.733 0.902 0.747 0.883 0.779 0.873 0.839 0.913 0.813 0.960
0.848 0.981 0.852 0.979 0.854 0.984 0.858 0.944 0.721 0.978
0.782 0.974 0.776 0.947 0.728 0.924 0.737 0.718 0.838 0.782
0.811 0.769 0.821 0.752 0.831 0.744 0.855 0.844 0.823 0.812
0.820 0.805 0.828 0.813 0.827 0.811 0.819 0.813 0.815 0.819
0.758 0.819 0.768 0.831 0.742 0.648 0.789 0.620 0.793 0.585
0.771 0.597 0.763 0.583 0.748 0.604 0.831 0.650 0.803 0.637
0.842 0.635 0.816 0.591 0.804 0.588 0.798 0.706 0.803 0.700
0.806 0.701 0.811 0.665 0.801 0.680 0.832 0.674 0.744 0.703
0.786 0.711 0.750 0.671 0.769 0.495 0.738 0.471 0.756 0.472
0.764 0.470 0.777 0.443 0.753 0.442 0.748 0.453 0.738 0.446
0.731 0.439 0.802 0.465 0.848 0.479 0.823 0.438 0.804 0.545
0.827 0.544 0.830 0.538 0.842 0.555 0.831 0.509 0.741 0.537
0.782 0.550 0.774 0.510 0.727 0.526 0.841 0.338 0.803 0.413
0.816 0.395 0.746 0.407 0.790 0.393 0.725 0.422 0.784 0.389
0.727 0.201 0.773 0.185 0.832 0.149 0.802 0.155 0.854 0.268
0.832 0.222 0.829 0.223 0.825 0.233 0.846 0.256 0.778 0.279
0.789 0.253 0.729 0.231 0.782 0.014 0.794 0.032 0.823 0.015
0.785 0.078 0.748 0.123 0.950 0.021 0.926 0.052 0.943 0.093
0.951 0.080 0.907 0.115 0.895 0.149 0.908 0.148 0.976 0.181
1.000 0.199 0.991 0.199 0.970 0.211 0.944 0.205 0.972 0.264
0.923 0.278 0.916 0.277 0.997 0.234 0.880 0.227 0.898 0.254
0.866 0.293 0.881 0.289 0.906 0.305 0.896 0.340 0.892 0.343
0.883 0.325 0.874 0.330 0.893 0.315 0.913 0.310 0.929 0.315
0.968 0.285 0.932 0.324 0.924 0.333 0.948 0.341 0.942 0.364
0.949 0.359 0.962 0.370 0.998 0.421 0.987 0.292 0.963 0.323
0.951 0.325 0.946 0.325 0.964 0.424 0.951 0.399 0.881 0.394
0.916 0.396 0.922 0.380 0.927 0.399 0.892 0.417 0.885 0.425
0.872 0.406 0.872 0.427 0.908 0.430 0.921 0.501 0.908 0.479
0.877 0.465 0.972 0.444 0.977 0.445 0.953 0.496 0.977 0.534
0.950 0.557 0.890 0.515 0.939 0.511 0.918 0.544 0.905 0.621
0.897 0.607 0.924 0.591 0.955 0.663 0.969 0.657 0.945 0.692
0.968 0.607 0.982 0.604 0.978 0.628 0.966 0.697 0.882 0.662
0.890 0.665 0.890 0.661 0.889 0.652 0.890 0.647 0.927 0.654
0.946 0.660 0.932 0.701 0.903 0.712 0.902 0.688 0.885 0.696
0.902 0.697 0.895 0.747 0.926 0.775 0.930 0.763 0.905 0.760
0.894 0.774 0.895 0.781 0.896 0.782 0.889 0.749 0.892 0.762
0.952 0.736 0.960 0.722 0.973 0.722 0.996 0.736 0.950 0.760
0.950 0.747 0.938 0.748 0.936 0.771 0.969 0.737 0.953 0.791
0.957 0.805 0.959 0.800 0.996 0.802 0.972 0.837 0.974 0.827
0.944 0.826 0.883 0.789 0.874 0.794 0.919 0.792 0.916 0.828
0.908 0.854 0.900 0.841 0.881 0.855 0.868 0.857 0.921 0.884
0.923 0.921 0.934 0.856 0.963 0.904 0.936 0.922 0.968 0.902
0.984 0.931 0.998 0.975 0.987 0.977 0.992 0.986 0.963 0.985
0.944 0.977 0.930 0.277 0.957 0.939 0.994 0.985 0.883 0.958
0.909 0.963 0.925 0.989 0.879 0.985 0.896 0.961 0.891 0.991
0.858 0.984 0.391 0.402 0.421 0.383
;

%SPATIAL(X,Y,MAXX=1,DATA=Hickories,MAXY=1,KNAME=RIPLEY,LIST=1,SASGRAPH=1,
         MAP=1,CHART=1,FREEWORK=0,LENGTH=4IN,
         HTEXT=1.5,FTEXT=SWISS,COLORS=RED GREEN BLUE MAGENTA ORANGE,
         GMAX=200,GTCRIT=0.25,
         FMAX=200,FTCRIT=0.35,M=10,
         KMAX=200,KTCRIT=0.25,
         MONTE=1,SEED=0,NSIMS=19);

Title1 "Lansing Woods Maples";
Data Maples;
 Length Species $13;
 Retain Species "Maple";
 Input X Y @@;
DataLines;
0.121 0.041 0.097 0.064 0.135 0.064 0.131 0.106 0.116 0.079
0.067 0.121 0.058 0.083 0.009 0.147 0.116 0.157 0.137 0.169
0.119 0.200 0.096 0.194 0.081 0.208 0.094 0.205 0.106 0.156
0.140 0.184 0.096 0.195 0.095 0.190 0.077 0.218 0.081 0.242
0.131 0.266 0.132 0.267 0.128 0.276 0.104 0.261 0.092 0.254
0.087 0.258 0.070 0.223 0.140 0.334 0.066 0.732 0.227 0.865
0.249 0.945 0.146 0.721 0.260 0.744 0.195 0.583 0.275 0.616
0.285 0.571 0.275 0.570 0.284 0.683 0.290 0.697 0.274 0.648
0.200 0.455 0.250 0.466 0.248 0.478 0.255 0.567 0.170 0.294
0.251 0.301 0.225 0.292 0.265 0.413 0.182 0.372 0.159 0.169
0.186 0.175 0.198 0.212 0.202 0.180 0.206 0.206 0.196 0.170
0.188 0.147 0.173 0.146 0.170 0.161 0.226 0.260 0.255 0.266
0.265 0.228 0.194 0.282 0.197 0.266 0.187 0.253 0.152 0.224
0.143 0.031 0.200 0.042 0.207 0.006 0.176 0.028 0.177 0.024
0.269 0.067 0.274 0.050 0.228 0.094 0.150 0.083 0.158 0.132
0.170 0.126 0.176 0.114 0.301 0.173 0.318 0.143 0.329 0.156
0.339 0.201 0.314 0.188 0.313 0.187 0.310 0.209 0.376 0.166
0.406 0.167 0.425 0.202 0.373 0.174 0.372 0.173 0.372 0.237
0.398 0.228 0.425 0.271 0.334 0.271 0.213 0.096 0.147 0.139
0.179 0.083 0.175 0.103 0.353 0.029 0.334 0.042 0.303 0.042
0.295 0.068 0.351 0.049 0.358 0.002 0.377 0.009 0.410 0.003
0.373 0.063 0.402 0.026 0.380 0.094 0.408 0.120 0.425 0.122
0.372 0.077 0.331 0.137 0.343 0.462 0.310 0.489 0.287 0.461
0.399 0.481 0.392 0.504 0.416 0.534 0.400 0.548 0.372 0.564
0.402 0.531 0.318 0.517 0.347 0.517 0.346 0.518 0.344 0.537
0.354 0.519 0.335 0.568 0.331 0.574 0.314 0.568 0.305 0.552
0.350 0.629 0.376 0.578 0.391 0.584 0.425 0.585 0.432 0.578
0.429 0.596 0.429 0.597 0.430 0.622 0.430 0.639 0.415 0.621
0.413 0.622 0.398 0.626 0.396 0.627 0.369 0.632 0.368 0.631
0.385 0.630 0.368 0.662 0.369 0.667 0.402 0.649 0.410 0.649
0.417 0.666 0.402 0.670 0.412 0.681 0.416 0.684 0.421 0.697
0.406 0.708 0.398 0.690 0.379 0.695 0.422 0.661 0.346 0.663
0.354 0.655 0.356 0.655 0.351 0.709 0.325 0.698 0.294 0.689
0.312 0.699 0.354 0.718 0.424 0.971 0.318 0.978 0.494 0.870
0.531 0.874 0.529 0.860 0.508 0.948 0.463 0.734 0.511 0.746
0.532 0.749 0.548 0.733 0.517 0.731 0.516 0.716 0.486 0.801
0.439 0.632 0.439 0.585 0.439 0.584 0.435 0.574 0.522 0.634
0.552 0.632 0.545 0.569 0.524 0.629 0.499 0.712 0.519 0.696
0.516 0.682 0.537 0.639 0.436 0.682 0.499 0.478 0.521 0.439
0.503 0.430 0.450 0.463 0.459 0.434 0.435 0.460 0.474 0.421
0.571 0.470 0.552 0.541 0.568 0.540 0.537 0.530 0.543 0.505
0.524 0.521 0.455 0.555 0.478 0.526 0.463 0.522 0.456 0.498
0.483 0.327 0.502 0.290 0.466 0.289 0.465 0.289 0.494 0.340
0.515 0.320 0.566 0.298 0.545 0.335 0.524 0.403 0.570 0.379
0.534 0.372 0.512 0.399 0.642 0.429 0.573 0.396 0.526 0.359
0.466 0.405 0.447 0.202 0.479 0.186 0.484 0.144 0.462 0.162
0.460 0.147 0.503 0.208 0.549 0.210 0.555 0.192 0.534 0.174
0.526 0.161 0.514 0.229 0.504 0.254 0.500 0.231 0.499 0.232
0.485 0.234 0.484 0.234 0.463 0.225 0.458 0.037 0.476 0.045
0.494 0.021 0.484 0.009 0.475 0.021 0.460 0.008 0.450 0.025
0.531 0.061 0.571 0.084 0.561 0.076 0.531 0.084 0.529 0.090
0.497 0.140 0.482 0.092 0.444 0.085 0.577 0.016 0.613 0.039
0.620 0.017 0.585 0.027 0.665 0.005 0.679 0.022 0.701 0.065
0.673 0.062 0.685 0.014 0.649 0.110 0.584 0.092 0.590 0.096
0.633 0.073 0.576 0.157 0.590 0.152 0.592 0.150 0.593 0.153
0.607 0.153 0.608 0.153 0.621 0.168 0.627 0.158 0.605 0.189
0.587 0.161 0.643 0.152 0.598 0.201 0.650 0.156 0.711 0.153
0.673 0.190 0.700 0.209 0.698 0.212 0.682 0.209 0.657 0.249
0.676 0.237 0.705 0.227 0.715 0.227 0.714 0.232 0.705 0.253
0.703 0.263 0.681 0.256 0.714 0.247 0.615 0.244 0.618 0.226
0.619 0.226 0.622 0.240 0.646 0.221 0.616 0.267 0.576 0.269
0.616 0.268 0.593 0.292 0.609 0.311 0.655 0.295 0.666 0.304
0.663 0.317 0.688 0.308 0.688 0.360 0.662 0.370 0.658 0.389
0.626 0.390 0.578 0.460 0.620 0.432 0.630 0.482 0.608 0.475
0.592 0.496 0.607 0.469 0.595 0.466 0.596 0.482 0.624 0.496
0.634 0.588 0.645 0.630 0.640 0.643 0.626 0.629 0.615 0.644
0.576 0.618 0.681 0.608 0.660 0.618 0.689 0.644 0.712 0.649
0.685 0.631 0.653 0.685 0.668 0.686 0.666 0.656 0.675 0.657
0.692 0.680 0.692 0.701 0.679 0.681 0.677 0.709 0.676 0.709
0.620 0.656 0.626 0.676 0.632 0.676 0.640 0.685 0.609 0.693
0.597 0.733 0.606 0.744 0.607 0.744 0.578 0.781 0.579 0.742
0.715 0.737 0.715 0.738 0.661 0.830 0.574 0.785 0.600 0.785
0.621 0.792 0.583 0.805 0.577 0.805 0.578 0.826 0.613 0.905
0.598 0.887 0.593 0.891 0.576 0.923 0.592 0.892 0.583 0.906
0.595 0.925 0.672 0.891 0.574 0.937 0.594 0.950 0.590 0.953
0.627 0.978 0.780 0.868 0.787 0.856 0.735 0.929 0.763 0.971
0.759 0.789 0.782 0.737 0.782 0.738 0.778 0.746 0.806 0.713
0.722 0.820 0.750 0.633 0.858 0.584 0.872 0.642 0.726 0.666
0.755 0.685 0.839 0.494 0.848 0.509 0.812 0.508 0.807 0.515
0.858 0.530 0.765 0.532 0.768 0.537 0.787 0.514 0.738 0.515
0.869 0.380 0.866 0.364 0.733 0.337 0.752 0.331 0.779 0.320
0.793 0.320 0.763 0.285 0.765 0.308 0.756 0.294 0.752 0.304
0.725 0.285 0.814 0.292 0.727 0.382 0.724 0.190 0.772 0.144
0.751 0.169 0.841 0.193 0.810 0.281 0.824 0.267 0.819 0.252
0.831 0.267 0.845 0.237 0.791 0.218 0.750 0.258 0.754 0.273
0.766 0.274 0.772 0.260 0.767 0.240 0.779 0.229 0.736 0.054
0.737 0.054 0.740 0.025 0.715 0.000 0.739 0.024 0.826 0.026
0.790 0.022 0.844 0.137 0.828 0.093 0.808 0.103 0.839 0.096
0.752 0.116 0.764 0.076 0.727 0.094 0.718 0.073 0.879 0.032
0.907 0.009 0.921 0.029 0.895 0.067 0.880 0.049 0.861 0.050
0.656 0.062 0.935 0.016 0.945 0.027 0.946 0.028 0.973 0.017
0.985 0.062 0.946 0.058 0.945 0.057 0.968 0.025 0.932 0.084
0.931 0.107 0.961 0.106 0.968 0.098 0.973 0.107 0.969 0.118
0.868 0.074 0.867 0.078 0.908 0.079 0.917 0.141 0.909 0.132
0.900 0.117 0.915 0.193 0.916 0.185 0.911 0.186 0.910 0.185
0.898 0.194 0.899 0.182 0.886 0.176 0.890 0.205 0.879 0.201
0.867 0.202 0.934 0.152 0.970 0.150 0.930 0.192 0.951 0.219
0.899 0.241 0.906 0.232 0.905 0.231 0.925 0.494 0.924 0.494
0.963 0.460 0.978 0.537 0.979 0.551 0.986 0.561 0.963 0.548
0.935 0.568 0.897 0.564 0.884 0.557 0.878 0.563 0.878 0.564
0.913 0.584 0.933 0.620 0.880 0.609 0.916 0.630 0.950 0.631
0.951 0.668 0.985 0.591 0.992 0.606 0.994 0.608 0.969 0.628
0.907 0.652 0.978 0.791 0.867 0.977 0.315 0.074
;

%SPATIAL(X,Y,MAXX=1,DATA=Maples,MAXY=1,KNAME=RIPLEY,LIST=1,SASGRAPH=1,
         MAP=1,CHART=1,FREEWORK=0,LENGTH=4IN,
         HTEXT=1.5,FTEXT=SWISS,COLORS=RED GREEN BLUE MAGENTA ORANGE,
         GMAX=200,GTCRIT=0.25,
         FMAX=200,FTCRIT=0.35,M=10,
         KMAX=200,KTCRIT=0.25,
         MONTE=1,SEED=0,NSIMS=19);



%Macro QCounts(Data=_LAST_,X=X,Y=Y,Out=Counts,Z=Count,GridX=5,GridY=5,Show=1);
%Let Error=0;
%If %Eval(&GridX LE 0) %Then %Let Error=1;
%If %Eval(&GridY LE 0) %Then %Let Error=1;
%If &Error %Then 
 %Do;
  %Put %Str(Error:  Specified grid values are illegal.);
  %Goto TheEnd;
 %End;

/*
 * First, categorize each observation to a quadrat.
 */
Data &Out;
 Set &Data;
 If _N_=1 Then
    Call Symput("MaxQ",Left(Put((&GridX*&GridY),5.)));
 _X_=Int(&X*&GridX)+1; If _X_ > &GridX Then _X_=&GridX; /* Boundary Problems */
 _Y_=Int(&Y*&GridY)+1; If _Y_ > &GridY Then _Y_=&GridY; /* Boundary Problems */
 Quadrat=_X_+&GridX*(_Y_-1); /* Row Order Numbering */
 Drop _X_ _Y_;
Run;

/*
 * Summarize Observations to Quadrats
 */
Proc Freq Data=&Out NoPrint;
 Tables Quadrat / Out=&Out(Drop=Percent);
Run;

/*
 * Some Quadrats may be empty, so figure
 * out which ones.
 */
Data _Q_;
 Do Quadrat=1 To &MaxQ;
  Output;
 End;
Run;

Proc Sort Data=_Q_;
 By Quadrat;
Run;

Proc Sort Data=&Out;
 By Quadrat;
Run;

/*
 * Putting Quadrat labels back with counts
 * will identify zero cells.
 * Also compute x,y center of each quadrat
 * and add to the data set for plotting.
 */
Data &Out;
 Merge _Q_ &Out;
 By Quadrat;
 If _N_=1 Then
  Do;
    _Xinc_=1/&GridX;
    _Yinc_=1/&GridY;
	Retain _Xinc_ _Yinc_;
    Call Symput("Xinc",Trim(Left(Put(_Xinc_,7.5))));
    Call Symput("Yinc",Trim(Left(Put(_Yinc_,7.5))));
  End;
 If Count=. Then Count=0;
 _Q_=Quadrat-1;
 _X_=Mod(_Q_,&GridX)+1;
 _Y_=Int(_Q_/&GridX)+1;
 &X=_Xinc_*(_X_-0.5);
 &Y=_Yinc_*(_Y_-0.5);
 &Z=Count;
* Drop _Xinc_ _Yinc_ _Q_ _X_ _Y_;
 Keep Quadrat &X &Y &Z;
Run;

%If &Show %Then
%Do;
Proc Print Data=&Out;
 Id Quadrat;
 Var &X &Y &Z;
Run;

Data _NULL_;
 Length VRef HRef $50;
 Xinc=&Xinc;
 Yinc=&Yinc;
 Tic=Yinc;
 Do i=1 To (&GridY-1);
    VRef=Trim(VRef)||" "||Trim(Left(Put(Tic,5.3)));
	Tic=Tic+Yinc;
 End;
 Tic=Xinc;
 Do i=1 To (&GridX-1);
    HRef=Trim(HRef)||" "||Trim(Left(Put(Tic,5.3)));
	Tic=Tic+Xinc;
 End;
 Call Symput("VREF",VRef);
 Call Symput("HREF",HRef);
Run;

Proc Plot Data=&Out;
 Plot &Y*&X=" " $ &Z 
            / Box
              VAxis=0 to 1 By 0.2 
              HAxis=0 To 1 By 0.2
              VRef=&VRef
              HRef=&HRef
              ;
Run;
Quit;
%End;

%TheEnd:
%Mend QCounts;

Title1 "Hickory Quadrat Counts";
%QCounts(Data=Hickories,Out=QHickory,GridX=20,GridY=20,Z=Hickory);
Title1 "Maple Quadrat Counts";
%QCounts(Data=Maples,Out=QMaple,GridX=20,GridY=20,Z=Maple);

Title1 "Hickory and Maple Quadrat Counts";
Data QuadratCounts;
 Merge QHickory QMaple;
 By Quadrat;
 Keep Quadrat Hickory Maple;
Run;

Proc Print Data=QuadratCounts;
Run;

Proc SurveySelect Data=QuadratCounts Out=Sample Method=SRS N=25 Seed=3376381;
Run;

*Options NoCenter;
Title2 "Random Sample of 0.05x0.05 Quadrats";
Proc Print Data=Sample;
 Id Quadrat;
Run;

Title3 "Association Between Quadrat Counts of Hickories and Maples";
Proc Corr Data=Sample Pearson Kendall;
 Var Hickory;
 With Maple;
Run;

Title3 "Distribution of Presence/Absence of Hickories and Maples";
Data PA;
 Set Sample;
 Agree=(Hickory>0 and Maple>0)+(Hickory=0 and Maple=0);
 Category=(Hickory>0)+(Maple>0)*2;
Run;

Proc Format;
 Value Agree 0="Hickory or Maple"
             1="Both Present or Absent";
 Value Cat 0="Neither Present"
           1="Hickory Only"
           2="Maple Only"
           3="Both Present";
Run;

Title4 "Tests for Association";
Proc Freq Data=PA;
 Tables Agree / Chisq TestP=(0.5 0.5);
 Tables Category / Chisq TestP=(0.25 0.25 0.25 0.25);
 Exact Chisq;
 Format Agree Agree. Category Cat.;
Run;

 

Lansing Woods Hickories

NEAREST NEIGHBOR DISTANCE DISTRIBUTION

The UNIVARIATE Procedure

Variable: DISTANCE

Moments
N	702	Sum Weights	702
Mean	0.01727154	Sum Observations	12.1246177
Std Deviation	0.01143594	Variance	0.00013078
Skewness	1.87441982	Kurtosis	7.26032409
Uncorrected SS	0.301088	Corrected SS	0.09167724
Coeff Variation	66.2126265	Std Error Mean	0.00043162

 

Basic Statistical Measures
Location		Variability
Mean	0.017272	Std Deviation	0.01144
Median	0.015000	Variance	0.0001308
Mode	0.011180	Range	0.10002
		Interquartile Range	0.01251

 

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	40.01545	Pr > |t|	<.0001
Sign	M	351	Pr >= |M|	<.0001
Signed Rank	S	123376.5	Pr >= |S|	<.0001

 

Quantiles (Definition 5)
Quantile	Estimate
100% Max	0.10101980
99%	0.05412024
95%	0.03807887
90%	0.03220248
75% Q3	0.02256103
50% Median	0.01500000
25% Q1	0.01004988
10%	0.00538516
5%	0.00316228
1%	0.00100000
0% Min	0.00100000

 

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
0.001	434	0.0645600	340
0.001	433	0.0676831	389
0.001	14	0.0806226	270
0.001	12	0.0814678	390
0.001	73	0.1010198	337

 

Histogram # Boxplot 0.1025+* 1 * . 0.0925+ . 0.0825+* 2 * . 0.0725+ .* 1 * 0.0625+* 2 * . 0.0525+* 4 0 .** 5 0 0.0425+*** 9 0 .******* 27 | 0.0325+********* 34 | .************** 53 | 0.0225+********************** 85 +-----+ .********************************* 130 *--+--* 0.0125+********************************************** 182 +-----+ .***************************** 113 | 0.0025+************** 54 | ----+----+----+----+----+----+----+----+----+- * may represent up to 4 counts

 

---

 

Lansing Woods Hickories

NEAREST NEIGHBOR DISTANCE DISTRIBUTION

The UNIVARIATE Procedure

Variable: DISTANCE

Normal Probability Plot 0.1025+ * | 0.0925+ | 0.0825+ * | 0.0725+ | * 0.0625+ ** | 0.0525+ ** | *** + 0.0425+ ***++++ | ****+ 0.0325+ **** | ++**** 0.0225+ ++**** | +****** 0.0125+ ******** | ******** 0.0025+* **********+++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2

 

---

 

The UNIVARIATE Procedure

Variable: DISTANCE

 

---

 

Lansing Woods Hickories

NEAREST NEIGHBOR DISTANCE DISTRIBUTION

The UNIVARIATE Procedure

Fitted Distribution for DISTANCE

Parameters for Gamma Distribution
Parameter	Symbol	Estimate
Threshold	Theta	0
Scale	Sigma	0.007405
Shape	Alpha	2.332274
Mean		0.017272
Std Dev		0.011309

   

Quantiles for Gamma Distribution
Percent	Quantile
	Observed	Estimated
1.0	0.00100	0.00171
5.0	0.00316	0.00368
10.0	0.00539	0.00526
25.0	0.01005	0.00896
50.0	0.01500	0.01488
75.0	0.02256	0.02300
90.0	0.03220	0.03241
95.0	0.03808	0.03905
99.0	0.05412	0.05365

 

---

 

Lansing Woods Hickories

POINT TO EVENT DISTANCE DISTRIBUTION

The UNIVARIATE Procedure

Variable: F

Moments
N	100	Sum Weights	100
Mean	0.02506984	Sum Observations	2.50698383
Std Deviation	0.01518821	Variance	0.00023068
Skewness	0.89526897	Kurtosis	0.73597021
Uncorrected SS	0.08568718	Corrected SS	0.0228375
Coeff Variation	60.5836133	Std Error Mean	0.00151882

 

Basic Statistical Measures
Location		Variability
Mean	0.025070	Std Deviation	0.01519
Median	0.022081	Variance	0.0002307
Mode	.	Range	0.07403
		Interquartile Range	0.01995

 

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	16.50611	Pr > |t|	<.0001
Sign	M	50	Pr >= |M|	<.0001
Signed Rank	S	2525	Pr >= |S|	<.0001

 

Quantiles (Definition 5)
Quantile	Estimate
100% Max	0.07563833
99%	0.07102902
95%	0.05585353
90%	0.04525934
75% Q3	0.03394606
50% Median	0.02208071
25% Q1	0.01400005
10%	0.00777154
5%	0.00602063
1%	0.00244684
0% Min	0.00160835

 

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
0.00160835	1	0.0565394	96
0.00328533	2	0.0584548	97
0.00485151	3	0.0647669	98
0.00542187	4	0.0664197	99
0.00601925	5	0.0756383	100

 

Stem Leaf # Boxplot 7 6 1 0 7 6 56 2 0 6 5 578 3 | 5 | 4 6778 4 | 4 00124 5 | 3 556678889 9 | 3 1111111234444 13 +-----+ 2 5567999 7 | + | 2 1111112234444 13 *-----* 1 55555666666778999 17 | | 1 000223344 9 +-----+ 0 556667778899999 15 | 0 23 2 | ----+----+----+----+ Multiply Stem.Leaf by 10**-2

 

---

 

Lansing Woods Hickories

POINT TO EVENT DISTANCE DISTRIBUTION

The UNIVARIATE Procedure

Variable: F

Normal Probability Plot 0.0775+ * | | * 0.0625+ * +++ | *** +++ | +++ 0.0475+ ***+ | +**+ | +*** 0.0325+ ***** | ++** | +***** 0.0175+ ***** | **** | ********** 0.0025+* * * +++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2

 

---

 

The UNIVARIATE Procedure

Variable: F

 

---

 

Lansing Woods Hickories

POINT TO EVENT DISTANCE DISTRIBUTION

The UNIVARIATE Procedure

Fitted Distribution for F

Parameters for Gamma Distribution
Parameter	Symbol	Estimate
Threshold	Theta	0
Scale	Sigma	0.009898
Shape	Alpha	2.532728
Mean		0.02507
Std Dev		0.015753

   

Quantiles for Gamma Distribution
Percent	Quantile
	Observed	Estimated
1.0	0.00245	0.00284
5.0	0.00602	0.00582
10.0	0.00777	0.00816
25.0	0.01400	0.01349
50.0	0.02208	0.02186
75.0	0.03395	0.03319
90.0	0.04526	0.04618
95.0	0.05585	0.05529
99.0	0.07103	0.07523

 

---

 

 

---

 

 

---

 

 

---

 

Lansing Woods Hickories

NEAREST NEIGHBOR DISTANCE DATA

Obs	X	Y	NN DISTANCE
1	0.639	0.983	0.00100
2	0.640	0.983	0.00100
3	0.027	0.069	0.00100
4	0.027	0.068	0.00100
5	0.064	0.981	0.00100
6	0.065	0.981	0.00100
7	0.040	0.074	0.00100
8	0.041	0.074	0.00100
9	0.615	0.492	0.00141
10	0.616	0.491	0.00141
11	0.895	0.781	0.00141
12	0.896	0.782	0.00141
13	0.034	0.899	0.00141
14	0.035	0.900	0.00141
15	0.329	0.532	0.00141
16	0.330	0.531	0.00141
17	0.584	0.855	0.00141
18	0.585	0.854	0.00141
19	0.031	0.965	0.00200
20	0.031	0.963	0.00200
21	0.101	0.921	0.00200
22	0.101	0.923	0.00200
23	0.827	0.811	0.00224
24	0.828	0.813	0.00224
25	0.992	0.986	0.00224
26	0.994	0.985	0.00224
27	0.620	0.203	0.00224
28	0.621	0.201	0.00224
29	0.076	0.953	0.00224
30	0.078	0.952	0.00224
31	0.803	0.700	0.00316
32	0.806	0.701	0.00316
33	0.286	0.408	0.00316
34	0.289	0.409	0.00316
35	0.829	0.223	0.00316
36	0.832	0.222	0.00316
37	0.116	0.680	0.00361
38	0.118	0.683	0.00361
39	0.854	0.984	0.00400
40	0.858	0.984	0.00400
41	0.890	0.661	0.00400
42	0.890	0.665	0.00400
43	0.823	0.812	0.00412
44	0.819	0.813	0.00412
45	0.225	0.792	0.00424
46	0.228	0.789	0.00424
47	0.456	0.530	0.00424
48	0.459	0.527	0.00424
49	0.848	0.981	0.00447
50	0.852	0.979	0.00447
51	0.207	0.918	0.00447
52	0.209	0.922	0.00447
53	0.078	0.725	0.00447
54	0.080	0.721	0.00447
55	0.892	0.343	0.00500
56	0.896	0.340	0.00500
57	0.946	0.325	0.00500
58	0.951	0.325	0.00500
59	0.636	0.496	0.00500
60	0.639	0.492	0.00500
61	0.889	0.652	0.00510
62	0.890	0.647	0.00510
63	0.972	0.444	0.00510
64	0.977	0.445	0.00510
65	0.957	0.805	0.00539
66	0.959	0.800	0.00539
67	0.342	0.725	0.00539
68	0.347	0.727	0.00539
69	0.963	0.904	0.00539
70	0.968	0.902	0.00539
71	0.063	0.910	0.00539
72	0.068	0.912	0.00539
73	0.116	0.882	0.00566
74	0.120	0.886	0.00566
75	0.039	0.594	0.00583
76	0.042	0.589	0.00583
77	0.128	0.379	0.00608
78	0.129	0.385	0.00608
79	0.118	0.554	0.00608
80	0.124	0.555	0.00608
81	0.248	0.835	0.00608
82	0.249	0.829	0.00608
83	0.889	0.749	0.00632
84	0.895	0.747	0.00632
85	0.223	0.402	0.00632
86	0.229	0.400	0.00632
87	0.030	0.360	0.00632
88	0.036	0.358	0.00632
89	0.028	0.354	0.00632
90	0.256	0.013	0.00632
91	0.258	0.019	0.00632
92	0.344	0.761	0.00632
93	0.346	0.755	0.00632
94	0.061	0.863	0.00640
95	0.066	0.867	0.00640
96	0.827	0.544	0.00671
97	0.830	0.538	0.00671
98	0.105	0.959	0.00671
99	0.108	0.965	0.00671
100	0.916	0.277	0.00707
101	0.923	0.278	0.00707
102	0.135	0.843	0.00707
103	0.142	0.844	0.00707
104	0.251	0.066	0.00707
105	0.256	0.071	0.00707
106	0.930	0.277	0.00707
107	0.894	0.774	0.00707
108	0.815	0.819	0.00721
109	0.123	0.893	0.00721
110	0.127	0.899	0.00721
111	0.784	0.389	0.00721
112	0.790	0.393	0.00721
113	0.686	0.008	0.00728
114	0.693	0.006	0.00728
115	0.047	0.582	0.00728
116	0.054	0.580	0.00728
117	0.054	0.865	0.00728
118	0.459	0.537	0.00762
119	0.820	0.805	0.00762
120	0.798	0.706	0.00781
121	0.124	0.563	0.00800
122	0.882	0.662	0.00806
123	0.114	0.950	0.00806
124	0.115	0.942	0.00806
125	0.221	0.521	0.00806
126	0.229	0.522	0.00806
127	0.163	0.767	0.00806
128	0.170	0.763	0.00806
129	0.304	0.785	0.00806
130	0.308	0.792	0.00806
131	0.258	0.590	0.00825
132	0.260	0.582	0.00825
133	0.756	0.472	0.00825
134	0.764	0.470	0.00825
135	0.906	0.305	0.00860
136	0.913	0.310	0.00860
137	0.942	0.364	0.00860
138	0.949	0.359	0.00860
139	0.035	0.725	0.00860
140	0.040	0.732	0.00860
141	0.026	0.684	0.00894
142	0.030	0.692	0.00894
143	0.331	0.718	0.00900
144	0.331	0.727	0.00900
145	0.991	0.199	0.00900
146	1.000	0.199	0.00900
147	0.154	0.767	0.00900
148	0.902	0.688	0.00900
149	0.902	0.697	0.00900
150	0.157	0.723	0.00906
151	0.166	0.724	0.00906
152	0.229	0.815	0.00906
153	0.238	0.816	0.00906
154	0.034	0.081	0.00922
155	0.240	0.889	0.00922
156	0.246	0.896	0.00922
157	0.070	0.903	0.00922
158	0.167	0.812	0.00949
159	0.176	0.815	0.00949
160	0.929	0.315	0.00949
161	0.932	0.324	0.00949
162	0.026	0.939	0.00949
163	0.035	0.942	0.00949
164	0.946	0.660	0.00949
165	0.955	0.663	0.00949
166	0.731	0.439	0.00990
167	0.738	0.446	0.00990
168	0.047	0.701	0.01000
169	0.053	0.709	0.01000
170	0.242	0.126	0.01000
171	0.242	0.136	0.01000
172	0.930	0.763	0.01000
173	0.936	0.771	0.01000
174	0.398	0.832	0.01005
175	0.408	0.833	0.01005
176	0.035	0.300	0.01005
177	0.036	0.310	0.01005
178	0.342	0.771	0.01020
179	0.268	0.592	0.01020
180	0.972	0.837	0.01020
181	0.974	0.827	0.01020
182	0.987	0.977	0.01030
183	0.035	0.701	0.01030
184	0.874	0.330	0.01030
185	0.883	0.325	0.01030
186	0.874	0.794	0.01030
187	0.883	0.789	0.01030
188	0.032	0.711	0.01044
189	0.041	0.960	0.01044
190	0.390	0.839	0.01063
191	0.885	0.425	0.01063
192	0.892	0.417	0.01063
193	0.998	0.975	0.01077
194	0.234	0.943	0.01077
195	0.244	0.947	0.01077
196	0.092	0.575	0.01077
197	0.102	0.571	0.01077
198	0.045	0.721	0.01077
199	0.104	0.975	0.01077
200	0.825	0.233	0.01077
201	0.926	0.775	0.01077
202	0.224	0.477	0.01077
203	0.228	0.487	0.01077
204	0.069	0.481	0.01082
205	0.075	0.490	0.01082
206	0.953	0.791	0.01082
207	0.212	0.527	0.01082
208	0.172	0.908	0.01100
209	0.183	0.908	0.01100
210	0.077	0.867	0.01100
211	0.501	0.435	0.01100
212	0.501	0.446	0.01100
213	0.045	0.760	0.01118
214	0.047	0.749	0.01118
215	0.333	0.763	0.01118
216	0.027	0.877	0.01118
217	0.037	0.882	0.01118
218	0.358	0.725	0.01118
219	0.024	0.727	0.01118
220	0.404	0.418	0.01118
221	0.409	0.408	0.01118
222	0.069	0.567	0.01118
223	0.079	0.562	0.01118
224	0.394	0.307	0.01118
225	0.404	0.312	0.01118
226	0.950	0.747	0.01118
227	0.952	0.736	0.01118
228	0.095	0.804	0.01118
229	0.100	0.794	0.01118
230	0.163	0.932	0.01118
231	0.168	0.922	0.01118
232	0.916	0.396	0.01140
233	0.927	0.399	0.01140
234	0.078	0.470	0.01140
235	0.089	0.473	0.01140
236	0.031	0.108	0.01140
237	0.040	0.115	0.01140
238	0.793	0.585	0.01140
239	0.804	0.588	0.01140
240	0.155	0.607	0.01140
241	0.166	0.610	0.01140
242	0.427	0.436	0.01140
243	0.430	0.447	0.01140
244	0.360	0.769	0.01166
245	0.370	0.775	0.01166
246	0.314	0.802	0.01166
247	0.609	0.126	0.01166
248	0.619	0.132	0.01166
249	0.656	0.721	0.01166
250	0.666	0.715	0.01166
251	0.318	0.781	0.01166
252	0.328	0.787	0.01166
253	0.156	0.670	0.01166
254	0.162	0.680	0.01166
255	0.617	0.190	0.01170
256	0.159	0.756	0.01170
257	0.924	0.333	0.01204
258	0.148	0.661	0.01204
259	0.027	0.787	0.01204
260	0.028	0.799	0.01204
261	0.682	0.377	0.01204
262	0.694	0.376	0.01204
263	0.938	0.748	0.01204
264	0.448	0.542	0.01208
265	0.748	0.453	0.01208
266	0.753	0.442	0.01208
267	0.131	0.752	0.01208
268	0.136	0.763	0.01208
269	0.892	0.762	0.01217
270	0.220	0.445	0.01217
271	0.222	0.457	0.01217
272	0.963	0.323	0.01217
273	0.816	0.591	0.01237
274	0.127	0.939	0.01237
275	0.415	0.306	0.01253
276	0.201	0.521	0.01253
277	0.082	0.458	0.01265
278	0.437	0.421	0.01273
279	0.446	0.412	0.01273
280	0.024	0.907	0.01281
281	0.821	0.752	0.01281
282	0.831	0.744	0.01281
283	0.323	0.737	0.01281
284	0.950	0.760	0.01300
285	0.092	0.732	0.01300
286	0.097	0.720	0.01300
287	0.786	0.711	0.01300
288	0.960	0.722	0.01300
289	0.973	0.722	0.01300
290	0.667	0.702	0.01304
291	0.229	0.896	0.01304
292	0.895	0.149	0.01304
293	0.908	0.148	0.01304
294	0.923	0.921	0.01304
295	0.936	0.922	0.01304
296	0.872	0.427	0.01315
297	0.183	-0.000	0.01315
298	0.185	0.013	0.01315
299	0.868	0.857	0.01315
300	0.881	0.855	0.01315
301	0.896	0.961	0.01315
302	0.905	0.760	0.01315
303	0.909	0.963	0.01315
304	0.271	0.016	0.01334
305	0.883	0.958	0.01334
306	0.417	0.450	0.01334
307	0.115	0.905	0.01342
308	0.879	0.985	0.01342
309	0.891	0.991	0.01342
310	0.070	0.712	0.01345
311	0.127	0.773	0.01345
312	0.333	0.746	0.01345
313	0.416	0.167	0.01360
314	0.424	0.156	0.01360
315	0.216	0.892	0.01360
316	0.279	0.979	0.01389
317	0.291	0.986	0.01389
318	0.091	0.555	0.01389
319	0.186	0.845	0.01389
320	0.198	0.852	0.01389
321	0.054	0.851	0.01389
322	0.211	0.395	0.01389
323	0.203	0.839	0.01393
324	0.543	0.470	0.01393
325	0.556	0.465	0.01393
326	0.276	0.677	0.01393
327	0.289	0.672	0.01393
328	0.696	0.466	0.01414
329	0.706	0.476	0.01414
330	0.265	0.802	0.01414
331	0.279	0.804	0.01414
332	0.893	0.315	0.01414
333	0.968	0.607	0.01432
334	0.982	0.604	0.01432
335	0.604	0.543	0.01432
336	0.617	0.537	0.01432
337	0.405	0.847	0.01432
338	0.027	0.741	0.01432
339	0.174	0.598	0.01442
340	0.085	0.855	0.01442
341	0.846	0.256	0.01442
342	0.854	0.268	0.01442
343	0.211	0.827	0.01442
344	0.123	0.925	0.01456
345	0.102	0.676	0.01456
346	0.026	0.587	0.01476
347	0.068	0.453	0.01487
348	0.120	0.608	0.01487
349	0.131	0.618	0.01487
350	0.661	0.525	0.01500
351	0.673	0.534	0.01500
352	0.872	0.406	0.01500
353	0.881	0.394	0.01500
354	0.903	0.712	0.01503
355	0.029	0.814	0.01503
356	0.439	0.157	0.01503
357	0.219	0.945	0.01513
358	0.969	0.657	0.01523
359	0.900	0.841	0.01526
360	0.908	0.854	0.01526
361	0.943	0.093	0.01526
362	0.951	0.080	0.01526
363	0.145	0.787	0.01530
364	0.160	0.784	0.01530
365	0.413	0.182	0.01530
366	0.304	0.701	0.01530
367	0.307	0.716	0.01530
368	0.122	0.539	0.01552
369	0.253	0.104	0.01552
370	0.268	0.108	0.01552
371	0.969	0.737	0.01552
372	0.866	0.293	0.01552
373	0.881	0.289	0.01552
374	0.052	0.949	0.01556
375	0.038	0.866	0.01556
376	0.137	0.911	0.01562
377	0.596	0.989	0.01562
378	0.608	0.979	0.01562
379	0.278	0.912	0.01562
380	0.288	0.924	0.01562
381	0.758	0.819	0.01562
382	0.768	0.831	0.01562
383	0.444	0.435	0.01565
384	0.089	0.444	0.01565
385	0.932	0.701	0.01581
386	0.945	0.692	0.01581
387	0.070	0.635	0.01581
388	0.079	0.648	0.01581
389	0.769	0.495	0.01581
390	0.774	0.510	0.01581
391	0.247	0.519	0.01581
392	0.262	0.524	0.01581
393	0.032	0.772	0.01581
394	0.065	0.671	0.01600
395	0.081	0.671	0.01600
396	0.304	0.769	0.01600
397	0.475	0.522	0.01600
398	0.491	0.522	0.01600
399	0.031	0.376	0.01603
400	0.307	0.985	0.01603
401	0.245	0.912	0.01603
402	0.763	0.583	0.01612
403	0.771	0.597	0.01612
404	0.356	0.709	0.01612
405	0.174	0.831	0.01612
406	0.897	0.607	0.01612
407	0.905	0.621	0.01612
408	0.948	0.341	0.01612
409	0.294	0.909	0.01616
410	0.623	0.986	0.01628
411	0.064	0.838	0.01640
412	0.030	0.571	0.01649
413	0.588	0.547	0.01649
414	0.737	0.718	0.01655
415	0.744	0.703	0.01655
416	0.686	0.751	0.01664
417	0.695	0.737	0.01664
418	0.081	0.620	0.01700
419	0.098	0.620	0.01700
420	0.962	0.370	0.01703
421	0.153	0.831	0.01703
422	0.885	0.696	0.01703
423	0.922	0.380	0.01709
424	0.302	0.752	0.01712
425	0.321	0.865	0.01746
426	0.325	0.882	0.01746
427	0.081	0.974	0.01746
428	0.459	0.486	0.01749
429	0.474	0.477	0.01749
430	0.179	0.748	0.01749
431	0.162	0.846	0.01749
432	0.025	0.605	0.01780
433	0.672	0.762	0.01780
434	0.727	0.526	0.01780
435	0.741	0.537	0.01780
436	0.419	0.819	0.01780
437	0.712	0.458	0.01789
438	0.366	0.973	0.01803
439	0.384	0.972	0.01803
440	0.109	0.772	0.01803
441	0.738	0.471	0.01803
442	0.801	0.680	0.01803
443	0.811	0.665	0.01803
444	0.725	0.422	0.01803
445	0.160	0.864	0.01811
446	0.463	0.915	0.01811
447	0.465	0.897	0.01811
448	0.540	0.452	0.01825
449	0.064	0.694	0.01838
450	0.855	0.844	0.01838
451	0.919	0.792	0.01838
452	0.147	0.569	0.01844
453	0.159	0.555	0.01844
454	0.010	0.795	0.01844
455	0.831	0.650	0.01860
456	0.842	0.555	0.01860
457	0.842	0.635	0.01860
458	0.047	0.666	0.01868
459	0.049	0.057	0.01879
460	0.391	0.402	0.01897
461	0.136	0.863	0.01897
462	0.142	0.881	0.01897
463	0.417	0.326	0.01910
464	0.103	0.537	0.01910
465	0.658	0.494	0.01910
466	0.071	0.931	0.01924
467	0.027	0.327	0.01924
468	0.332	0.426	0.01924
469	0.335	0.407	0.01924
470	0.265	0.088	0.01924
471	0.094	0.701	0.01924
472	0.107	0.437	0.01931
473	0.490	0.489	0.01970
474	0.498	0.471	0.01970
475	0.329	0.847	0.01970
476	0.380	0.856	0.01972
477	0.811	0.769	0.01972
478	0.598	0.839	0.01985
479	0.927	0.654	0.01992
480	0.323	0.902	0.02010
481	0.968	0.285	0.02025
482	0.987	0.292	0.02025
483	0.939	0.511	0.02052
484	0.953	0.496	0.02052
485	0.106	0.747	0.02052
486	0.425	0.973	0.02052
487	0.440	0.987	0.02052
488	0.921	0.501	0.02059
489	0.394	0.436	0.02059
490	0.009	0.819	0.02062
491	0.908	0.430	0.02062
492	0.916	0.828	0.02062
493	0.209	0.495	0.02062
494	0.944	0.977	0.02062
495	0.963	0.985	0.02062
496	0.627	0.952	0.02081
497	0.639	0.935	0.02081
498	0.461	0.987	0.02100
499	0.219	0.853	0.02102
500	0.619	0.841	0.02110
501	0.661	0.937	0.02110
502	0.663	0.958	0.02110
503	0.629	0.516	0.02119
504	0.677	0.923	0.02126
505	0.972	0.264	0.02138
506	0.964	0.424	0.02154
507	0.966	0.697	0.02159
508	0.782	0.014	0.02163
509	0.794	0.032	0.02163
510	0.175	0.880	0.02193
511	0.050	0.284	0.02193
512	0.234	0.012	0.02202
513	0.789	0.620	0.02202
514	0.803	0.637	0.02202
515	0.110	0.516	0.02209
516	0.132	0.518	0.02209
517	0.254	0.498	0.02214
518	0.803	0.413	0.02220
519	0.816	0.395	0.02220
520	0.398	0.154	0.02220
521	0.683	0.948	0.02236
522	0.274	0.890	0.02236
523	0.354	0.422	0.02236
524	0.439	0.104	0.02236
525	0.459	0.094	0.02236
526	0.925	0.989	0.02247
527	0.728	0.924	0.02256
528	0.733	0.902	0.02256
529	0.782	0.550	0.02256
530	0.804	0.545	0.02256
531	0.672	0.476	0.02280
532	0.576	0.833	0.02280
533	0.832	0.674	0.02285
534	0.193	0.325	0.02300
535	0.216	0.325	0.02300
536	0.047	0.474	0.02309
537	0.978	0.628	0.02326
538	0.569	0.127	0.02341
539	0.577	0.105	0.02341
540	0.976	0.181	0.02343
541	0.641	0.739	0.02343
542	0.281	0.780	0.02354
543	0.335	0.508	0.02354
544	0.747	0.883	0.02360
545	0.951	0.399	0.02400
546	0.473	0.308	0.02400
547	0.473	0.332	0.02400
548	0.777	0.443	0.02402
549	0.748	0.604	0.02404
550	0.054	0.617	0.02408
551	0.317	0.465	0.02419
552	0.338	0.477	0.02419
553	0.094	0.015	0.02419
554	0.106	0.036	0.02419
555	0.970	0.211	0.02419
556	0.077	0.594	0.02421
557	0.742	0.648	0.02435
558	0.750	0.671	0.02435
559	0.084	0.513	0.02470
560	0.289	0.095	0.02470
561	0.367	0.830	0.02470
562	0.944	0.826	0.02470
563	0.585	0.404	0.02484
564	0.601	0.385	0.02484
565	0.069	0.014	0.02502
566	0.310	0.438	0.02506
567	0.584	0.595	0.02508
568	0.609	0.597	0.02508
569	0.708	0.184	0.02550
570	0.727	0.201	0.02550
571	0.908	0.479	0.02555
572	0.076	0.422	0.02555
573	0.129	0.807	0.02561
574	0.746	0.407	0.02581
575	0.258	0.768	0.02594
576	0.508	0.410	0.02596
577	0.323	0.613	0.02596
578	0.348	0.620	0.02596
579	0.105	0.411	0.02608
580	0.631	0.168	0.02608
581	0.934	0.856	0.02608
582	0.714	0.501	0.02625
583	0.294	0.066	0.02648
584	0.320	0.061	0.02648
585	0.767	0.922	0.02657
586	0.776	0.947	0.02657
587	0.134	0.328	0.02657
588	0.143	0.353	0.02657
589	0.370	0.251	0.02663
590	0.385	0.273	0.02663
591	0.944	0.205	0.02668
592	0.023	0.486	0.02683
593	0.482	0.403	0.02693
594	0.629	0.910	0.02693
595	0.996	0.736	0.02693
596	0.957	0.939	0.02702
597	0.030	0.453	0.02702
598	0.158	0.527	0.02751
599	0.782	0.974	0.02766
600	0.421	0.383	0.02773
601	0.682	0.442	0.02778
602	0.436	0.841	0.02780
603	0.608	0.098	0.02802
604	0.984	0.931	0.02816
605	0.654	0.897	0.02818
606	0.778	0.279	0.02823
607	0.789	0.253	0.02823
608	0.858	0.944	0.02865
609	0.831	0.509	0.02902
610	0.001	0.864	0.02907
611	0.387	0.722	0.02915
612	0.838	0.782	0.02921
613	0.898	0.254	0.02921
614	0.312	0.654	0.02921
615	0.238	0.550	0.02941
616	0.389	0.927	0.02983
617	0.412	0.946	0.02983
618	0.729	0.231	0.03007
619	0.802	0.155	0.03059
620	0.832	0.149	0.03059
621	0.660	0.562	0.03087
622	0.136	0.978	0.03087
623	0.921	0.884	0.03087
624	0.066	0.132	0.03106
625	0.924	0.591	0.03138
626	0.998	0.421	0.03189
627	0.438	0.350	0.03189
628	0.823	0.438	0.03202
629	0.302	0.008	0.03202
630	0.027	0.539	0.03214
631	0.848	0.479	0.03220
632	0.877	0.465	0.03220
633	0.880	0.227	0.03245
634	0.659	0.354	0.03253
635	0.907	0.115	0.03302
636	0.023	0.207	0.03311
637	0.053	0.221	0.03311
638	0.419	0.273	0.03324
639	0.996	0.802	0.03330
640	0.802	0.465	0.03330
641	0.108	0.307	0.03342
642	0.098	0.142	0.03353
643	0.779	0.873	0.03353
644	0.823	0.015	0.03362
645	0.680	0.987	0.03362
646	0.841	0.338	0.03396
647	0.813	0.960	0.03401
648	0.890	0.515	0.03401
649	0.918	0.544	0.03454
650	0.950	0.557	0.03454
651	0.253	0.703	0.03471
652	0.997	0.234	0.03513
653	0.703	0.618	0.03517
654	0.712	0.584	0.03517
655	0.977	0.534	0.03547
656	0.659	0.795	0.03547
657	0.193	0.568	0.03551
658	0.130	0.126	0.03578
659	0.039	0.156	0.03612
660	0.839	0.913	0.03636
661	0.654	0.851	0.03640
662	0.084	0.176	0.03677
663	0.148	0.015	0.03705
664	0.347	0.667	0.03734
665	0.926	0.052	0.03754
666	0.353	0.561	0.03764
667	0.578	0.501	0.03808
668	0.184	0.288	0.03808
669	0.425	0.719	0.03812
670	0.161	0.489	0.03812
671	0.657	0.128	0.03821
672	0.081	0.079	0.03883
673	0.372	0.368	0.03895
674	0.492	0.561	0.03901
675	0.950	0.021	0.03920
676	0.438	0.756	0.03922
677	0.146	0.444	0.03962
678	0.475	0.834	0.03962
679	0.619	0.347	0.04061
680	0.708	0.133	0.04123
681	0.748	0.123	0.04123
682	0.602	0.753	0.04144
683	0.773	0.185	0.04173
684	0.579	0.718	0.04188
685	0.721	0.978	0.04198
686	0.212	0.255	0.04328
687	0.495	0.119	0.04383
688	0.538	0.522	0.04518
689	0.207	0.700	0.04610
690	0.497	0.958	0.04623
691	0.785	0.078	0.04687
692	0.553	0.760	0.04940
693	0.671	0.218	0.05025
694	0.198	0.062	0.05070
695	0.487	0.182	0.05412
696	0.556	0.354	0.05464
697	0.339	0.131	0.06161
698	0.409	0.649	0.06456
699	0.513	0.703	0.06768
700	0.290	0.293	0.08062
701	0.534	0.254	0.08147
702	0.406	0.008	0.10102

 

---

 

Lansing Woods Hickories

POINT TO EVENT DISTANCE DATA

Obs	X	Y	POINT-TO-EVENT DISTANCE
1	0.18182	0.90909	0.001608
2	0.81818	0.81818	0.003285
3	0.09091	0.72727	0.004852
4	0.45455	0.09091	0.005422
5	0.54545	0.45455	0.006019
6	0.27273	0.90909	0.006022
7	0.36364	0.72727	0.006077
8	0.18182	0.81818	0.006631
9	0.45455	0.54545	0.007401
10	0.63636	0.90909	0.007420
11	0.90909	0.27273	0.008124
12	0.27273	0.09091	0.008257
13	0.81818	0.54545	0.008937
14	0.90909	0.54545	0.009027
15	0.09091	0.18182	0.009033
16	0.72727	0.90909	0.009115
17	0.36364	0.36364	0.009434
18	0.09091	0.54545	0.009546
19	0.09091	0.45455	0.009555
20	0.45455	0.90909	0.010315
21	0.90909	0.81818	0.012006
22	0.36364	0.81818	0.012288
23	0.63636	0.72727	0.012611
24	0.72727	0.72727	0.013439
25	0.72727	0.45455	0.013715
26	0.54545	0.36364	0.014285
27	0.09091	0.81818	0.014760
28	0.63636	0.18182	0.014823
29	0.81818	0.63636	0.015195
30	0.18182	0.27273	0.015428
31	0.09091	0.09091	0.015492
32	0.27273	0.81818	0.015507
33	0.09091	0.90909	0.015609
34	0.90909	0.63636	0.015899
35	0.72727	0.54545	0.016122
36	0.18182	0.72727	0.016153
37	0.90909	0.72727	0.016442
38	0.09091	0.63636	0.016650
39	0.81818	0.45455	0.017233
40	0.90909	0.90909	0.018311
41	0.72727	0.63636	0.018770
42	0.36364	0.54545	0.018836
43	0.72727	0.18182	0.019184
44	0.90909	0.36364	0.020843
45	0.81818	0.72727	0.021074
46	0.63636	0.54545	0.021129
47	0.81818	0.90909	0.021182
48	0.36364	0.27273	0.021365
49	0.45455	0.36364	0.021441
50	0.54545	0.27273	0.021953
51	0.45455	0.45455	0.022209
52	0.36364	0.63636	0.022633
53	0.27273	0.54545	0.023987
54	0.63636	0.36364	0.024047
55	0.90909	0.09091	0.024181
56	0.90909	0.45455	0.024479
57	0.54545	0.54545	0.024611
58	0.18182	0.54545	0.024734
59	0.45455	0.81818	0.025857
60	0.27273	0.27273	0.026633
61	0.63636	0.81818	0.028673
62	0.63636	0.09091	0.029237
63	0.45455	0.18182	0.029285
64	0.45455	0.72727	0.030682
65	0.72727	0.81818	0.030738
66	0.18182	0.63636	0.030745
67	0.36364	0.90909	0.031049
68	0.27273	0.72727	0.031278
69	0.81818	0.18182	0.031322
70	0.81818	0.36364	0.031439
71	0.81818	0.27273	0.032460
72	0.18182	0.09091	0.033130
73	0.54545	0.72727	0.033586
74	0.90909	0.18182	0.033836
75	0.36364	0.45455	0.033942
76	0.54545	0.81818	0.033950
77	0.54545	0.09091	0.034550
78	0.72727	0.36364	0.035496
79	0.45455	0.27273	0.035547
80	0.81818	0.09091	0.035604
81	0.18182	0.45455	0.037338
82	0.63636	0.45455	0.037547
83	0.72727	0.09091	0.038203
84	0.09091	0.27273	0.038298
85	0.27273	0.63636	0.039176
86	0.09091	0.36364	0.040147
87	0.18182	0.36364	0.040222
88	0.27273	0.45455	0.040780
89	0.72727	0.27273	0.041763
90	0.36364	0.18182	0.044212
91	0.27273	0.36364	0.046307
92	0.36364	0.09091	0.047056
93	0.45455	0.63636	0.047266
94	0.63636	0.63636	0.047940
95	0.27273	0.18182	0.055168
96	0.54545	0.63636	0.056539
97	0.54545	0.18182	0.058455
98	0.63636	0.27273	0.064767
99	0.54545	0.90909	0.066420
100	0.18182	0.18182	0.075638

 

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Lansing Woods Hickories

TEST STATISTIC AND SUMMARY INFORMATION FOR TEST OF CSR

TEST FOR COMPLETE SPATIAL RANDOMNESS ----------------------------------------------------- TOTAL AREA: 1.00000000 TOTAL BOUNDARY LENGTH: 4.00000000 TOTAL NUMBER OF EVENTS: 702.00000000 MIN. NEAREST NEIGHBOR DISTANCE: 0.00100000 MAX. NEAREST NEIGHBOR DISTANCE: 0.10101980 MEAN NEAREST NEIGHBOR DISTANCE: 0.01727154 EXPECTED MEAN VALUE UNDER CSR: 0.01917091 VARIANCE UNDER CSR: 0.00000015 TEST STATISTIC FOR CSR: -4.84985167 PROB. > |TEST STAT.| UNDER CSR: 0.00000062 -----------------------------------------------------

 

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Lansing Woods Hickories

RIPLEY'S K DISTANCE DATA

Obs	T	K	L	CSR	K_MINCSR
1	0.00000	0.00000	0.000000	0.00000	0.000000
2	0.00125	0.00002	-0.001023	0.00000	0.000011
3	0.00250	0.00006	-0.001902	0.00002	0.000041
4	0.00375	0.00008	-0.001204	0.00004	0.000033
5	0.00500	0.00011	-0.001014	0.00008	0.000035
6	0.00625	0.00018	-0.001289	0.00012	0.000056
7	0.00750	0.00026	-0.001672	0.00018	0.000088
8	0.00875	0.00035	-0.001798	0.00024	0.000109
9	0.01000	0.00044	-0.001846	0.00031	0.000127
10	0.01125	0.00065	-0.003082	0.00040	0.000248
11	0.01250	0.00079	-0.003331	0.00049	0.000296
12	0.01375	0.00096	-0.003759	0.00059	0.000369
13	0.01500	0.00116	-0.004232	0.00071	0.000455
14	0.01625	0.00141	-0.004914	0.00083	0.000578
15	0.01750	0.00162	-0.005178	0.00096	0.000654
16	0.01875	0.00184	-0.005477	0.00110	0.000739
17	0.02000	0.00204	-0.005506	0.00126	0.000787
18	0.02125	0.00229	-0.005721	0.00142	0.000867
19	0.02250	0.00256	-0.006028	0.00159	0.000966
20	0.02375	0.00282	-0.006200	0.00177	0.001046
21	0.02500	0.00310	-0.006419	0.00196	0.001138
22	0.02625	0.00342	-0.006744	0.00216	0.001255
23	0.02750	0.00373	-0.006953	0.00238	0.001353
24	0.02875	0.00405	-0.007172	0.00260	0.001457
25	0.03000	0.00430	-0.007005	0.00283	0.001475
26	0.03125	0.00464	-0.007162	0.00307	0.001567
27	0.03250	0.00500	-0.007380	0.00332	0.001678
28	0.03375	0.00539	-0.007656	0.00358	0.001808
29	0.03500	0.00584	-0.008117	0.00385	0.001992
30	0.03625	0.00630	-0.008530	0.00413	0.002172
31	0.03750	0.00676	-0.008897	0.00442	0.002345
32	0.03875	0.00722	-0.009190	0.00472	0.002503
33	0.04000	0.00764	-0.009300	0.00503	0.002609
34	0.04125	0.00815	-0.009695	0.00535	0.002808
35	0.04250	0.00857	-0.009742	0.00567	0.002899
36	0.04375	0.00898	-0.009716	0.00601	0.002968
37	0.04500	0.00945	-0.009846	0.00636	0.003088
38	0.04625	0.01003	-0.010267	0.00672	0.003315
39	0.04750	0.01049	-0.010294	0.00709	0.003405
40	0.04875	0.01097	-0.010330	0.00747	0.003499
41	0.05000	0.01155	-0.010622	0.00785	0.003691
42	0.05125	0.01203	-0.010622	0.00825	0.003775
43	0.05250	0.01261	-0.010855	0.00866	0.003951
44	0.05375	0.01314	-0.010925	0.00908	0.004065
45	0.05500	0.01374	-0.011134	0.00950	0.004237
46	0.05625	0.01435	-0.011347	0.00994	0.004415
47	0.05750	0.01503	-0.011672	0.01039	0.004645
48	0.05875	0.01571	-0.011957	0.01084	0.004863
49	0.06000	0.01628	-0.011990	0.01131	0.004972
50	0.06125	0.01680	-0.011869	0.01179	0.005010
51	0.06250	0.01743	-0.011980	0.01227	0.005155
52	0.06375	0.01807	-0.012100	0.01277	0.005307
53	0.06500	0.01882	-0.012399	0.01327	0.005547
54	0.06625	0.01954	-0.012625	0.01379	0.005756
55	0.06750	0.02024	-0.012757	0.01431	0.005922
56	0.06875	0.02090	-0.012815	0.01485	0.006052
57	0.07000	0.02167	-0.013061	0.01539	0.006280<