From Topic Networks to Distributed Cognitive Maps: Zipfian Topic Universes in the Area of Volunteered Geographic Information

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Corpus of articles</td><td class="align_center"><span style="width: 40.5377ptpx;"><svg height="15.2492pt" id="M706" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -12.9811 40.5377 15.2492" width="40.5377pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="40.438" x="0" y="-12.2789"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M162 -163V703H101V-163H162Z"></path></g><g transform="matrix(.013,0,0,-0.013,3.419,0)"><path d="M994 578C987 663 946 718 869 741L197 229L36 -18L321 67L994 578ZM841 495C829 552 798 593 749 619L874 713C924 691 955 650 966 590L841 495ZM326 176C326 192 319 202 304 205L712 517C721 508 728 499 733 488L326 176ZM290 224V229C290 241 284 247 271 247C267 247 262 246 257 245L663 553C673 548 683 542 694 534L290 224ZM352 121C356 130 358 136 358 141C358 151 352 156 340 157L744 466C748 456 752 444 756 430L352 121ZM339 130C339 121 328 106 306 86L154 42L126 77L211 210C228 223 243 229 258 229C266 229 270 226 270 219C270 206 260 190 239 172C262 183 278 189 285 189C299 189 306 183 306 170C306 158 296 143 277 124C300 135 317 141 326 141S339 137 339 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,16.859,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.357,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.321,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.464,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,32.428,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g><g transform="matrix(.013,0,0,-0.013,36.926,0)"><path d="M162 -163V703H101V-163H162Z"></path></g></svg></span></td><td class="align_center"><span style="width: 33.674ptpx;"><svg height="15.2492pt" id="M707" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -12.9811 33.674 15.2492" width="33.674pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="33.5744" x="0" y="-12.2789"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M994 578C987 663 946 718 869 741L197 229L36 -18L321 67L994 578ZM841 495C829 552 798 593 749 619L874 713C924 691 955 650 966 590L841 495ZM326 176C326 192 319 202 304 205L712 517C721 508 728 499 733 488L326 176ZM290 224V229C290 241 284 247 271 247C267 247 262 246 257 245L663 553C673 548 683 542 694 534L290 224ZM352 121C356 130 358 136 358 141C358 151 352 156 340 157L744 466C748 456 752 444 756 430L352 121ZM339 130C339 121 328 106 306 86L154 42L126 77L211 210C228 223 243 229 258 229C266 229 270 226 270 219C270 206 260 190 239 172C262 183 278 189 285 189C299 189 306 183 306 170C306 158 296 143 277 124C300 135 317 141 326 141S339 137 339 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.44,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.938,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.902,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,26.045,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.009,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">Without redirects (2,195,812)</td><td class="align_center">27.34</td><td class="align_center">234.52</td></tr><tr><td class="align_left">With redirects (3,657,483)</td><td class="align_center">17.07</td><td class="align_center">226.61</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Estimates of the average number of active authors per Wikipedia article (<span class="nowrap"><svg height="15.2492pt" id="M704" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -12.9811 40.5377 15.2492" width="40.5377pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="40.438" x="0" y="-12.2789"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M994 578C987 663 946 718 869 741L197 229L36 -18L321 67L994 578ZM841 495C829 552 798 593 749 619L874 713C924 691 955 650 966 590L841 495ZM326 176C326 192 319 202 304 205L712 517C721 508 728 499 733 488L326 176ZM290 224V229C290 241 284 247 271 247C267 247 262 246 257 245L663 553C673 548 683 542 694 534L290 224ZM352 121C356 130 358 136 358 141C358 151 352 156 340 157L744 466C748 456 752 444 756 430L352 121ZM339 130C339 121 328 106 306 86L154 42L126 77L211 210C228 223 243 229 258 229C266 229 270 226 270 219C270 206 260 190 239 172C262 183 278 189 285 189C299 189 306 183 306 170C306 158 296 143 277 124C300 135 317 141 326 141S339 137 339 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.44,0)"><path d="M162 -163V703H101V-163H162Z"></path></g><g transform="matrix(.013,0,0,-0.013,16.859,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.357,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.321,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.464,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,32.428,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g><g transform="matrix(.013,0,0,-0.013,36.926,0)"><path d="M162 -163V703H101V-163H162Z"></path></g></svg>)</span> and the average activity of authors per article (<span class="nowrap"><svg height="15.2492pt" id="M705" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -12.9811 33.674 15.2492" width="33.674pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="33.5744" x="0" y="-12.2789"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M994 578C987 663 946 718 869 741L197 229L36 -18L321 67L994 578ZM841 495C829 552 798 593 749 619L874 713C924 691 955 650 966 590L841 495ZM326 176C326 192 319 202 304 205L712 517C721 508 728 499 733 488L326 176ZM290 224V229C290 241 284 247 271 247C267 247 262 246 257 245L663 553C673 548 683 542 694 534L290 224ZM352 121C356 130 358 136 358 141C358 151 352 156 340 157L744 466C748 456 752 444 756 430L352 121ZM339 130C339 121 328 106 306 86L154 42L126 77L211 210C228 223 243 229 258 229C266 229 270 226 270 219C270 206 260 190 239 172C262 183 278 189 285 189C299 189 306 183 306 170C306 158 296 143 277 124C300 135 317 141 326 141S339 137 339 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.44,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.938,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.902,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,26.045,0)"><path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.009,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg>)</span> differentiated for the complete set of articles in the German Wikipedia (downloaded at 2018-07-01) with and without redirect articles (numbers of articles in parentheses).</div>

Complexity

tab4

Table 4

Table 4: From Topic Networks to Distributed Cognitive Maps: Zipfian Topic Universes in the Area of Volunteered Geographic Information 