Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to...

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Grid Algebra FE 423 - Lecture 3a
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Transcript of Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to...

Page 1: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

Grid Algebra

FE 423 - Lecture 3a

Page 2: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

From Last Week:

• Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this class period. Make a hillshaded image of the UW area for these times.

• Using a DEM of steep topography, map the areas of steep and convergent topography.

Page 3: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

Practice Problem 1: Identify the slope of each square

4 10 10 7 6 6 8 8 3 5 6 4 8 2 7 9 11 12 12 9 3 8 11 9 9 8 7 3

4 11 15 14 11 6 7 12 6 6 8 4 9 1 11 14 16 16 14 10 2 11 14 12 11 10 9 4

4 3 11 15 13 8 1 11 10 4 7 6 6 5 14 16 16 14 10 7 6 10 12 11 10 10 9 5

11 13 6 6 10 13 7 9 12 4 8 8 3 9 14 15 13 10 9 10 8 7 8 10 10 8 7 6

12 19 17 10 1 12 11 10 13 6 5 1 8 13 12 10 11 13 13 10 5 1 7 11 10 7 10 10

8 15 19 17 8 6 11 10 10 2 6 10 12 10 6 7 10 11 11 10 9 7 10 11 9 11 15 12

3 6 15 18 14 3 8 8 4 5 10 10 6 3 5 6 7 8 11 14 13 4 11 10 10 12 9 5

7 6 11 17 16 8 5 4 4 8 9 5 4 6 5 4 7 9 12 13 12 5 7 7 7 4 5 5

6 5 10 16 16 10 1 7 8 7 5 3 7 7 5 8 11 9 7 11 13 10 1 4 4 8 6 3

4 4 11 16 16 8 5 11 8 3 4 8 7 6 8 11 10 4 7 12 14 14 9 1 7 8 7 7

5 9 16 18 14 3 8 8 2 6 9 9 6 8 10 10 8 9 10 11 14 17 15 8 2 9 12 9

8 14 19 16 6 4 7 6 9 11 10 6 5 9 12 12 12 11 9 8 11 15 18 15 8 5 5 3

11 17 15 6 2 3 5 9 9 6 1 3 3 5 7 10 11 8 5 4 4 8 13 16 16 11 2 4

10 11 4 3 1 5 6 3 3 6 10 12 12 10 6 2 4 7 10 12 13 11 7 9 15 15 4 5

4 2 3 1 5 3 4 10 12 14 16 17 17 17 15 12 9 12 16 17 18 19 17 9 9 15 6 3

2 4 5 7 3 6 13 15 14 15 17 19 19 19 19 17 13 13 16 17 16 17 18 16 8 12 10 4

3 4 5 2 8 14 16 14 12 13 17 18 17 17 18 18 16 11 12 15 14 9 10 15 8 7 12 7

4 2 3 8 15 16 13 8 6 10 13 11 6 6 10 14 16 13 10 11 13 10 2 11 10 2 10 10

4 2 8 13 15 11 5 5 7 11 15 12 10 9 5 2 9 10 6 6 10 12 8 9 10 6 11 13

5 3 10 14 12 4 7 10 11 14 17 16 17 17 16 12 7 7 8 10 14 16 16 16 16 16 18 15

5 3 10 13 9 7 10 10 11 14 17 17 19 19 20 20 17 16 17 17 19 21 21 21 21 21 21 15

4 3 7 9 5 4 7 6 6 9 9 9 10 11 12 12 9 9 10 11 12 12 11 12 12 12 12 10

Page 4: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

Practice Problem 2: Identify the aspect of each square

277 249 227 184 137 113 93 80 52 279 262 162 100 30 282 285 286 283 280 271 207 108 97 96 96 94 91 72241 223 209 187 167 149 78 69 66 270 261 135 106 321 290 294 296 295 290 279 181 108 103 100 96 92 85 7823 144 193 188 189 214 38 66 71 261 240 141 125 282 290 293 295 293 279 243 161 118 100 89 83 78 70 5831 48 73 166 204 233 226 101 95 176 203 157 190 286 287 281 268 247 220 199 173 130 93 83 85 80 57 3932 42 45 54 191 236 218 138 116 154 208 249 308 304 291 261 226 211 205 208 219 66 75 84 81 44 12 1344 44 49 55 67 224 211 153 126 161 298 318 318 306 270 214 206 213 229 256 291 353 60 70 42 1 354 355171 75 68 70 76 127 199 164 142 304 303 305 298 253 193 195 221 250 267 277 285 345 72 54 8 355 356 329211 180 99 87 86 99 174 207 298 306 297 280 209 185 183 233 276 286 279 266 249 204 87 33 3 41 120 150240 207 111 99 95 95 46 300 312 310 283 188 172 189 223 278 295 298 262 233 221 218 221 22 79 116 124 111242 194 122 114 110 102 317 308 317 320 176 159 173 222 269 284 281 241 192 206 215 227 234 203 81 62 18 13198 167 137 131 128 147 289 290 251 148 153 162 196 248 262 257 226 180 174 198 216 227 228 220 43 14 2 358172 156 141 139 141 288 275 215 170 154 156 182 219 237 231 216 197 179 179 203 217 223 225 225 238 304 8 6167 152 143 148 295 273 196 178 168 151 166 306 304 256 222 206 200 199 226 271 271 243 232 230 235 244 154 109173 151 146 304 295 159 171 208 321 350 341 343 353 356 359 314 253 273 300 323 343 348 318 254 242 244 204 98185 173 302 236 149 154 312 321 335 342 340 344 355 6 15 13 343 310 308 321 341 358 6 359 278 260 264 45144 217 207 156 178 310 322 326 332 336 335 340 354 9 19 19 2 320 299 302 322 351 16 27 349 276 273 312112 184 192 178 305 313 319 327 330 323 322 332 351 13 22 22 14 342 292 274 277 308 26 50 44 267 252 24696 121 279 312 311 311 314 317 307 288 287 296 329 25 25 21 21 8 324 279 258 249 142 80 74 238 228 20989 86 289 300 304 303 278 208 212 234 241 227 193 179 196 4 29 28 358 277 246 230 191 126 108 141 180 18368 32 288 287 286 255 170 179 197 218 224 205 182 186 202 207 175 133 151 188 206 206 188 162 150 153 161 16970 49 275 267 247 174 157 173 193 213 214 192 178 187 203 206 187 162 160 175 192 195 184 169 162 159 158 16565 128 259 263 241 152 148 168 194 216 218 190 175 191 212 217 194 159 152 169 193 199 184 165 158 153 151 148

Page 5: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

799 921 1049 1100 1049 981 890 777 701 729 819 888 799 702 758 844 956 1094 1237 1376 1471 1423 1296 1177 1072 969 874 798

791 851 944 994 975 942 897 802 710 722 820 850 776 701 774 881 1008 1146 1275 1394 1450 1398 1270 1155 1057 955 866 799

820 758 789 828 845 874 947 876 747 704 821 822 737 726 822 955 1095 1227 1325 1409 1430 1356 1241 1141 1049 961 890 822

931 811 724 704 726 807 929 912 781 695 767 743 690 739 857 1004 1141 1250 1307 1334 1331 1302 1244 1165 1080 990 920 859

1063 943 812 711 655 740 861 861 746 648 681 653 698 792 907 1015 1086 1150 1197 1232 1263 1277 1250 1176 1059 974 962 945

1170 1089 956 814 693 670 770 781 689 618 660 723 800 881 955 975 989 1028 1084 1174 1257 1337 1287 1180 1082 1077 1097 1114

1149 1173 1059 897 733 627 683 680 631 634 714 806 877 903 906 903 922 965 1055 1185 1329 1435 1341 1210 1179 1188 1227 1246

1060 1134 1078 939 772 640 612 606 630 688 765 835 855 872 854 854 902 974 1077 1201 1331 1395 1342 1259 1293 1299 1253 1185

985 1060 1038 925 763 629 552 606 682 737 788 839 796 800 803 853 938 1032 1093 1173 1242 1313 1350 1339 1335 1253 1167 1138

987 1063 1011 900 748 628 596 678 749 778 793 770 720 744 781 881 995 1085 1050 1077 1127 1223 1333 1374 1313 1202 1180 1180

958 993 927 794 659 580 636 740 796 784 722 681 660 712 808 921 982 1003 966 974 1023 1123 1254 1334 1348 1305 1304 1303

903 892 788 663 583 589 673 746 732 697 624 608 637 687 775 851 902 901 879 885 933 1012 1132 1249 1332 1388 1402 1379

796 752 638 560 576 648 666 650 617 594 550 593 604 633 687 731 775 800 821 852 878 916 1006 1129 1256 1379 1432 1348

656 617 534 581 643 616 570 557 583 589 614 660 675 679 678 668 701 753 824 907 951 960 971 1043 1152 1309 1413 1325

560 552 570 646 598 545 534 594 662 698 743 792 819 815 784 744 731 789 911 1034 1114 1128 1107 1074 1095 1245 1382 1348

550 542 631 578 517 550 617 704 775 827 879 950 998 991 937 873 832 872 1001 1149 1261 1320 1299 1211 1150 1231 1380 1425

538 477 528 477 525 624 735 821 873 934 1023 1116 1176 1168 1105 1031 969 953 1037 1175 1328 1437 1449 1343 1232 1236 1356 1451

544 485 500 526 615 732 844 919 949 998 1120 1238 1304 1289 1240 1187 1126 1063 1067 1146 1279 1405 1482 1398 1269 1202 1291 1374

536 453 498 596 712 826 907 909 935 975 1093 1204 1259 1250 1268 1281 1258 1193 1179 1196 1264 1352 1423 1391 1300 1239 1226 1219

554 467 532 654 782 866 848 824 840 883 996 1095 1120 1107 1156 1232 1280 1237 1175 1160 1196 1260 1315 1304 1235 1156 1091 1030

578 500 545 676 792 817 763 734 738 783 887 956 947 933 988 1084 1154 1125 1068 1018 1037 1094 1136 1122 1067 999 921 847

597 504 543 653 729 728 671 645 644 673 749 789 772 767 820 911 983 963 909 845 847 896 933 910 860 805 740 677

Practice Problem 3: Estimate slope for each cell

4 10 10 7 6 6 8 8 3 5 6 4 8 2 7 9 11 12 12 9 3 8 11 9 9 8 7 3

4 11 15 14 11 6 7 12 6 6 8 4 9 1 11 14 16 16 14 10 2 11 14 12 11 10 9 4

4 3 11 15 13 8 1 11 10 4 7 6 6 5 14 16 16 14 10 7 6 10 12 11 10 10 9 5

11 13 6 6 10 13 7 9 12 4 8 8 3 9 14 15 13 10 9 10 8 7 8 10 10 8 7 6

12 19 17 10 1 12 11 10 13 6 5 1 8 13 12 10 11 13 13 10 5 1 7 11 10 7 10 10

8 15 19 17 8 6 11 10 10 2 6 10 12 10 6 7 10 11 11 10 9 7 10 11 9 11 15 12

3 6 15 18 14 3 8 8 4 5 10 10 6 3 5 6 7 8 11 14 13 4 11 10 10 12 9 5

7 6 11 17 16 8 5 4 4 8 9 5 4 6 5 4 7 9 12 13 12 5 7 7 7 4 5 5

6 5 10 16 16 10 1 7 8 7 5 3 7 7 5 8 11 9 7 11 13 10 1 4 4 8 6 3

4 4 11 16 16 8 5 11 8 3 4 8 7 6 8 11 10 4 7 12 14 14 9 1 7 8 7 7

5 9 16 18 14 3 8 8 2 6 9 9 6 8 10 10 8 9 10 11 14 17 15 8 2 9 12 9

8 14 19 16 6 4 7 6 9 11 10 6 5 9 12 12 12 11 9 8 11 15 18 15 8 5 5 3

11 17 15 6 2 3 5 9 9 6 1 3 3 5 7 10 11 8 5 4 4 8 13 16 16 11 2 4

10 11 4 3 1 5 6 3 3 6 10 12 12 10 6 2 4 7 10 12 13 11 7 9 15 15 4 5

4 2 3 1 5 3 4 10 12 14 16 17 17 17 15 12 9 12 16 17 18 19 17 9 9 15 6 3

2 4 5 7 3 6 13 15 14 15 17 19 19 19 19 17 13 13 16 17 16 17 18 16 8 12 10 4

3 4 5 2 8 14 16 14 12 13 17 18 17 17 18 18 16 11 12 15 14 9 10 15 8 7 12 7

4 2 3 8 15 16 13 8 6 10 13 11 6 6 10 14 16 13 10 11 13 10 2 11 10 2 10 10

4 2 8 13 15 11 5 5 7 11 15 12 10 9 5 2 9 10 6 6 10 12 8 9 10 6 11 13

5 3 10 14 12 4 7 10 11 14 17 16 17 17 16 12 7 7 8 10 14 16 16 16 16 16 18 15

5 3 10 13 9 7 10 10 11 14 17 17 19 19 20 20 17 16 17 17 19 21 21 21 21 21 21 15

4 3 7 9 5 4 7 6 6 9 9 9 10 11 12 12 9 9 10 11 12 12 11 12 12 12 12 10

Page 6: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

277 249 227 184 137 113 93 80 52 279 262 162 100 30 282 285 286 283 280 271 207 108 97 96 96 94 91 72241 223 209 187 167 149 78 69 66 270 261 135 106 321 290 294 296 295 290 279 181 108 103 100 96 92 85 7823 144 193 188 189 214 38 66 71 261 240 141 125 282 290 293 295 293 279 243 161 118 100 89 83 78 70 5831 48 73 166 204 233 226 101 95 176 203 157 190 286 287 281 268 247 220 199 173 130 93 83 85 80 57 3932 42 45 54 191 236 218 138 116 154 208 249 308 304 291 261 226 211 205 208 219 66 75 84 81 44 12 1344 44 49 55 67 224 211 153 126 161 298 318 318 306 270 214 206 213 229 256 291 353 60 70 42 1 354 355171 75 68 70 76 127 199 164 142 304 303 305 298 253 193 195 221 250 267 277 285 345 72 54 8 355 356 329211 180 99 87 86 99 174 207 298 306 297 280 209 185 183 233 276 286 279 266 249 204 87 33 3 41 120 150240 207 111 99 95 95 46 300 312 310 283 188 172 189 223 278 295 298 262 233 221 218 221 22 79 116 124 111242 194 122 114 110 102 317 308 317 320 176 159 173 222 269 284 281 241 192 206 215 227 234 203 81 62 18 13198 167 137 131 128 147 289 290 251 148 153 162 196 248 262 257 226 180 174 198 216 227 228 220 43 14 2 358172 156 141 139 141 288 275 215 170 154 156 182 219 237 231 216 197 179 179 203 217 223 225 225 238 304 8 6167 152 143 148 295 273 196 178 168 151 166 306 304 256 222 206 200 199 226 271 271 243 232 230 235 244 154 109173 151 146 304 295 159 171 208 321 350 341 343 353 356 359 314 253 273 300 323 343 348 318 254 242 244 204 98185 173 302 236 149 154 312 321 335 342 340 344 355 6 15 13 343 310 308 321 341 358 6 359 278 260 264 45144 217 207 156 178 310 322 326 332 336 335 340 354 9 19 19 2 320 299 302 322 351 16 27 349 276 273 312112 184 192 178 305 313 319 327 330 323 322 332 351 13 22 22 14 342 292 274 277 308 26 50 44 267 252 24696 121 279 312 311 311 314 317 307 288 287 296 329 25 25 21 21 8 324 279 258 249 142 80 74 238 228 20989 86 289 300 304 303 278 208 212 234 241 227 193 179 196 4 29 28 358 277 246 230 191 126 108 141 180 18368 32 288 287 286 255 170 179 197 218 224 205 182 186 202 207 175 133 151 188 206 206 188 162 150 153 161 16970 49 275 267 247 174 157 173 193 213 214 192 178 187 203 206 187 162 160 175 192 195 184 169 162 159 158 16565 128 259 263 241 152 148 168 194 216 218 190 175 191 212 217 194 159 152 169 193 199 184 165 158 153 151 148

Practice Problem 4: Estimate aspect for each cell

799 921 1049 1100 1049 981 890 777 701 729 819 888 799 702 758 844 956 1094 1237 1376 1471 1423 1296 1177 1072 969 874 798

791 851 944 994 975 942 897 802 710 722 820 850 776 701 774 881 1008 1146 1275 1394 1450 1398 1270 1155 1057 955 866 799

820 758 789 828 845 874 947 876 747 704 821 822 737 726 822 955 1095 1227 1325 1409 1430 1356 1241 1141 1049 961 890 822

931 811 724 704 726 807 929 912 781 695 767 743 690 739 857 1004 1141 1250 1307 1334 1331 1302 1244 1165 1080 990 920 859

1063 943 812 711 655 740 861 861 746 648 681 653 698 792 907 1015 1086 1150 1197 1232 1263 1277 1250 1176 1059 974 962 945

1170 1089 956 814 693 670 770 781 689 618 660 723 800 881 955 975 989 1028 1084 1174 1257 1337 1287 1180 1082 1077 1097 1114

1149 1173 1059 897 733 627 683 680 631 634 714 806 877 903 906 903 922 965 1055 1185 1329 1435 1341 1210 1179 1188 1227 1246

1060 1134 1078 939 772 640 612 606 630 688 765 835 855 872 854 854 902 974 1077 1201 1331 1395 1342 1259 1293 1299 1253 1185

985 1060 1038 925 763 629 552 606 682 737 788 839 796 800 803 853 938 1032 1093 1173 1242 1313 1350 1339 1335 1253 1167 1138

987 1063 1011 900 748 628 596 678 749 778 793 770 720 744 781 881 995 1085 1050 1077 1127 1223 1333 1374 1313 1202 1180 1180

958 993 927 794 659 580 636 740 796 784 722 681 660 712 808 921 982 1003 966 974 1023 1123 1254 1334 1348 1305 1304 1303

903 892 788 663 583 589 673 746 732 697 624 608 637 687 775 851 902 901 879 885 933 1012 1132 1249 1332 1388 1402 1379

796 752 638 560 576 648 666 650 617 594 550 593 604 633 687 731 775 800 821 852 878 916 1006 1129 1256 1379 1432 1348

656 617 534 581 643 616 570 557 583 589 614 660 675 679 678 668 701 753 824 907 951 960 971 1043 1152 1309 1413 1325

560 552 570 646 598 545 534 594 662 698 743 792 819 815 784 744 731 789 911 1034 1114 1128 1107 1074 1095 1245 1382 1348

550 542 631 578 517 550 617 704 775 827 879 950 998 991 937 873 832 872 1001 1149 1261 1320 1299 1211 1150 1231 1380 1425

538 477 528 477 525 624 735 821 873 934 1023 1116 1176 1168 1105 1031 969 953 1037 1175 1328 1437 1449 1343 1232 1236 1356 1451

544 485 500 526 615 732 844 919 949 998 1120 1238 1304 1289 1240 1187 1126 1063 1067 1146 1279 1405 1482 1398 1269 1202 1291 1374

536 453 498 596 712 826 907 909 935 975 1093 1204 1259 1250 1268 1281 1258 1193 1179 1196 1264 1352 1423 1391 1300 1239 1226 1219

554 467 532 654 782 866 848 824 840 883 996 1095 1120 1107 1156 1232 1280 1237 1175 1160 1196 1260 1315 1304 1235 1156 1091 1030

578 500 545 676 792 817 763 734 738 783 887 956 947 933 988 1084 1154 1125 1068 1018 1037 1094 1136 1122 1067 999 921 847

597 504 543 653 729 728 671 645 644 673 749 789 772 767 820 911 983 963 909 845 847 896 933 910 860 805 740 677

Page 7: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

Practice Problem 5: Shade convergent topography

Page 8: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

Practice Problem 6: Shade convergent topography 799 921 1049 1100 1049 981 890 777 701 729 819 888 799 702 758 844 956 1094 1237 1376 1471 1423 1296 1177 1072 969 874 798

791 851 944 994 975 942 897 802 710 722 820 850 776 701 774 881 1008 1146 1275 1394 1450 1398 1270 1155 1057 955 866 799

820 758 789 828 845 874 947 876 747 704 821 822 737 726 822 955 1095 1227 1325 1409 1430 1356 1241 1141 1049 961 890 822

931 811 724 704 726 807 929 912 781 695 767 743 690 739 857 1004 1141 1250 1307 1334 1331 1302 1244 1165 1080 990 920 859

1063 943 812 711 655 740 861 861 746 648 681 653 698 792 907 1015 1086 1150 1197 1232 1263 1277 1250 1176 1059 974 962 945

1170 1089 956 814 693 670 770 781 689 618 660 723 800 881 955 975 989 1028 1084 1174 1257 1337 1287 1180 1082 1077 1097 1114

1149 1173 1059 897 733 627 683 680 631 634 714 806 877 903 906 903 922 965 1055 1185 1329 1435 1341 1210 1179 1188 1227 1246

1060 1134 1078 939 772 640 612 606 630 688 765 835 855 872 854 854 902 974 1077 1201 1331 1395 1342 1259 1293 1299 1253 1185

985 1060 1038 925 763 629 552 606 682 737 788 839 796 800 803 853 938 1032 1093 1173 1242 1313 1350 1339 1335 1253 1167 1138

987 1063 1011 900 748 628 596 678 749 778 793 770 720 744 781 881 995 1085 1050 1077 1127 1223 1333 1374 1313 1202 1180 1180

958 993 927 794 659 580 636 740 796 784 722 681 660 712 808 921 982 1003 966 974 1023 1123 1254 1334 1348 1305 1304 1303

903 892 788 663 583 589 673 746 732 697 624 608 637 687 775 851 902 901 879 885 933 1012 1132 1249 1332 1388 1402 1379

796 752 638 560 576 648 666 650 617 594 550 593 604 633 687 731 775 800 821 852 878 916 1006 1129 1256 1379 1432 1348

656 617 534 581 643 616 570 557 583 589 614 660 675 679 678 668 701 753 824 907 951 960 971 1043 1152 1309 1413 1325

560 552 570 646 598 545 534 594 662 698 743 792 819 815 784 744 731 789 911 1034 1114 1128 1107 1074 1095 1245 1382 1348

550 542 631 578 517 550 617 704 775 827 879 950 998 991 937 873 832 872 1001 1149 1261 1320 1299 1211 1150 1231 1380 1425

538 477 528 477 525 624 735 821 873 934 1023 1116 1176 1168 1105 1031 969 953 1037 1175 1328 1437 1449 1343 1232 1236 1356 1451

544 485 500 526 615 732 844 919 949 998 1120 1238 1304 1289 1240 1187 1126 1063 1067 1146 1279 1405 1482 1398 1269 1202 1291 1374

536 453 498 596 712 826 907 909 935 975 1093 1204 1259 1250 1268 1281 1258 1193 1179 1196 1264 1352 1423 1391 1300 1239 1226 1219

554 467 532 654 782 866 848 824 840 883 996 1095 1120 1107 1156 1232 1280 1237 1175 1160 1196 1260 1315 1304 1235 1156 1091 1030

578 500 545 676 792 817 763 734 738 783 887 956 947 933 988 1084 1154 1125 1068 1018 1037 1094 1136 1122 1067 999 921 847

597 504 543 653 729 728 671 645 644 673 749 789 772 767 820 911 983 963 909 845 847 896 933 910 860 805 740 677

Page 9: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

SCHEDULETuesday Thursday

Grid Basics overview spatial data

digital topography surface functions

grid algebra grid functions

Grid Hydrology Exam I flow direction

flow accumulation path length

euclidian/costpath vehicular traffic

wildlife movement Exam II

Grid Watersheds mass wasting surface erosion

hydrology channels

riparian fish

Finals Week Final Exam

Page 10: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

OUTLINE

• Map Query

• Reclassify

• Map Calculator

• Handling Results

• Reading/Revising Equation

Page 11: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

MAP QUERY• grid vs. number ([dem] > 500)• grid vs. grid ([snow] > [melt])• grid vs. equation (([snow]-[melt]) > 10)

Page 12: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

RECLASSIFY

Beyond just yes/no

allows low/medium/high

Page 13: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

MAP CALCULATOR

Put in any equationSWEz1=d1+d2*Ez + d3*Ez

2

Page 14: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

OPERATORS! anotherGrid : Grid

% anotherGrid : Grid

& anotherGrid : Grid

* anotherGrid : Grid

+ anotherGrid : Grid

- anotherGrid : Grid

/ anotherGrid : Grid

< anotherGrid : Grid

<< anotherGrid : Grid

<= anotherGrid : Grid

<> anotherGrid : Grid

= anotherGrid : Grid

> anotherGrid : Grid

>= anotherGrid : Grid

>> anotherGrid : Grid

And anotherGrid : Grid

~ : Grid

Negate : Grid

Not : Grid

Or anotherGrid : Grid

XOr anotherGrid : Grid

^ anotherGrid : Grid

| anotherGrid : Grid

Any unmelted snow?([snow] > [potential melt])

Total runoff?([rain] + [melt])

Volumetric soil creep rate?([soil creep rate] * [soil depth])

Page 15: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

Numbers-to-Grids: .AsGrid

Numbers must be converted to gridsSWEz1=d1.AsGrid + d2.AsGrid*Ez + d3.AsGrid*Ez

2

Page 16: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

PARSING

Our notation is not specific

SWEz1=d1+d2*Ez + d3*Ez2

Precedence is what we wantSWEz1=d1+(d2*Ez) + (d3*(Ez

2))

Left-to-right is what ArcView doesSWEz1=(((d1+d2)*Ez) + d3)*Ez

2

Page 17: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

HANDLING RESULTS

Naming Outputs

Finding disc location

Other useful stuff

Page 18: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

READING/REVISING EQUATION

What equation did I use?

What happens if I change it?

Page 19: Grid Algebra FE 423 - Lecture 3a. From Last Week: Use a sun-angle calculator from the web to identify the sun angle for the beginning and end of this.

Reading from ArcDoc

• Spatial modeling– Cell-based Modeling with GRID

• Functions: locals, focals, and zonals

• From ArcView Help– Grid (Class)