1. Insights
  2. Hierarchy

Hierarchy

World Problems contains 57,012 entries. Only 11,310 of them list narrower links, and across the database there are 66,054 narrower links. Chains run from tree tops (not listed as narrower anywhere) to leaf entries (no narrower links). We count only non-looping chains and group them by length, excluding entries that participate in cyclic hierarchy errors, for a total of 2,415,411 chains. The most frequent chain length is 12 (406,158 chains). There are 9,025 tree tops, 45,702 leaf entries, and 8,295 isolated entries (neither narrower nor broader).

Breakdown by chain length (shortest to longest)

0100,000200,000300,000400,0001: 2,242 | 0.09%2,242 | 0.09%12: 3,354 | 0.14%3,354 | 0.14%23: 6,586 | 0.27%6,586 | 0.27%34: 10,341 | 0.43%10,341 | 0.43%45: 19,470 | 0.81%19,470 | 0.81%56: 30,189 | 1.25%30,189 | 1.25%67: 45,947 | 1.90%45,947 | 1.90%78: 82,402 | 3.41%82,402 | 3.41%89: 131,109 | 5.43%131,109 | 5.43%910: 219,373 | 9.08%219,373 | 9.08%1011: 359,421 | 14.88%359,421 | 14.88%1112: 406,158 | 16.82%406,158 | 16.82%1213: 332,456 | 13.76%332,456 | 13.76%1314: 284,730 | 11.79%284,730 | 11.79%1415: 240,506 | 9.96%240,506 | 9.96%1516: 129,109 | 5.35%129,109 | 5.35%1617: 45,738 | 1.89%45,738 | 1.89%1718: 22,420 | 0.93%22,420 | 0.93%1819: 14,620 | 0.61%14,620 | 0.61%1920: 10,562 | 0.44%10,562 | 0.44%2021: 6,981 | 0.29%6,981 | 0.29%2122: 4,485 | 0.19%4,485 | 0.19%2223: 3,190 | 0.13%3,190 | 0.13%2324: 1,817 | 0.08%1,817 | 0.08%2425: 893 | 0.04%893 | 0.04%2526: 505 | 0.02%505 | 0.02%2627: 332 | 0.01%332 | 0.01%2728: 213 | 0.01%213 | 0.01%2829: 136 | 0.01%136 | 0.01%2930: 72 | 0.00%72 | 0.00%3031: 30 | 0.00%30 | 0.00%3132: 12 | 0.00%12 | 0.00%3233: 10 | 0.00%10 | 0.00%3334: 2 | 0.00%2 | 0.00%34

World Problems | 2,415,411 total chains detected in 11,310 entries with 66,054 narrower links

DepthCount
12,242 | 0.1%
23,354 | 0.1%
36,586 | 0.3%
410,341 | 0.4%
519,470 | 0.8%
630,189 | 1.2%
745,947 | 1.9%
882,402 | 3.4%
9131,109 | 5.4%
10219,373 | 9.1%
11359,421 | 14.9%
12406,158 | 16.8%
13332,456 | 13.8%
14284,730 | 11.8%
15240,506 | 10.0%
16129,109 | 5.3%
1745,738 | 1.9%
1822,420 | 0.9%
1914,620 | 0.6%
2010,562 | 0.4%
216,981 | 0.3%
224,485 | 0.2%
233,190 | 0.1%
241,817 | 0.1%
25893 | 0.0%
26505 | 0.0%
27332 | 0.0%
28213 | 0.0%
29136 | 0.0%
3072 | 0.0%
3130 | 0.0%
3212 | 0.0%
3310 | 0.0%
342 | 0.0%
Depth 1: 2,242Depth 2: 3,354Depth 3: 6,586Depth 4: 10,341Depth 5: 19,470Depth 6: 30,189Depth 7: 45,947Depth 8: 82,402Depth 9: 131,109Depth 10: 219,373Depth 11: 359,421Depth 12: 406,158Depth 13: 332,456Depth 14: 284,730Depth 15: 240,506Depth 16: 129,109Depth 17: 45,738Depth 18: 22,420Depth 19: 14,620Depth 20: 10,562Depth 21: 6,981Depth 22: 4,485Depth 23: 3,190Depth 24: 1,817Depth 25: 893Depth 26: 505Depth 27: 332Depth 28: 213Depth 29: 136Depth 30: 72Depth 31: 30Depth 32: 12Depth 33: 10Depth 34: 2
  • Depth 1 (2,242 | 0.1%)
  • Depth 2 (3,354 | 0.1%)
  • Depth 3 (6,586 | 0.3%)
  • Depth 4 (10,341 | 0.4%)
  • Depth 5 (19,470 | 0.8%)
  • Depth 6 (30,189 | 1.2%)
  • Depth 7 (45,947 | 1.9%)
  • Depth 8 (82,402 | 3.4%)
  • Depth 9 (131,109 | 5.4%)
  • Depth 10 (219,373 | 9.1%)
  • Depth 11 (359,421 | 14.9%)
  • Depth 12 (406,158 | 16.8%)
  • Depth 13 (332,456 | 13.8%)
  • Depth 14 (284,730 | 11.8%)
  • Depth 15 (240,506 | 10.0%)
  • Depth 16 (129,109 | 5.3%)
  • Depth 17 (45,738 | 1.9%)
  • Depth 18 (22,420 | 0.9%)
  • Depth 19 (14,620 | 0.6%)
  • Depth 20 (10,562 | 0.4%)
  • Depth 21 (6,981 | 0.3%)
  • Depth 22 (4,485 | 0.2%)
  • Depth 23 (3,190 | 0.1%)
  • Depth 24 (1,817 | 0.1%)
  • Depth 25 (893 | 0.0%)
  • Depth 26 (505 | 0.0%)
  • Depth 27 (332 | 0.0%)
  • Depth 28 (213 | 0.0%)
  • Depth 29 (136 | 0.0%)
  • Depth 30 (72 | 0.0%)
  • Depth 31 (30 | 0.0%)
  • Depth 32 (12 | 0.0%)
  • Depth 33 (10 | 0.0%)
  • Depth 34 (2 | 0.0%)

Hierarchy errors

These are cyclic narrower-link components, which should not exist in a proper broader-to-narrower hierarchy. A component may contain one loop or several overlapping loops, so this section lists every narrower relationship involved in a cycle. That complete relationship list is the authoritative editing report. For context, it also shows up to 50 illustrative loop paths per component.

Detected 3 cyclic hierarchy components involving 734 unique entries. The largest offending component contains 720 entries.

Component sizeComponentsEntries involvedCyclic relationships (complete)Example loops
51 | 33.3%5 | 0.7%
91 | 33.3%9 | 1.2%
Example loops shown in this row: 7.
Component 1 loops: 7.
  1. Degraded condition of urban landscape -> Dysfunctional public utilities -> Inadequate care of community space -> Degraded condition of urban landscape
  2. Degraded condition of urban landscape -> Environmental degradation of inner city areas -> Demoralizing image of urban community identity -> Degraded condition of urban landscape
  3. Degraded condition of urban landscape -> Environmental degradation of inner city areas -> Inadequate care of community space -> Degraded condition of urban landscape
  4. Degraded condition of urban landscape -> Environmental degradation of inner city areas -> Deteriorating physical infrastructure in cities -> Dysfunctional public utilities -> Inadequate care of community space -> Degraded condition of urban landscape
  5. Underprovision of basic urban services -> Dysfunctional public utilities -> Inadequate care of community space -> Degraded condition of urban landscape -> Environmental degradation of inner city areas -> Urban slums -> Underprovision of basic urban services
  6. Underprovision of basic urban services -> Dysfunctional public utilities -> Inadequate care of community space -> Degraded condition of urban landscape -> Environmental degradation of inner city areas -> Demoralizing image of urban community identity -> Urban poverty -> Underprovision of basic urban services
  7. Underprovision of basic urban services -> Dysfunctional public utilities -> Inadequate care of community space -> Degraded condition of urban landscape -> Environmental degradation of inner city areas -> Demoralizing image of urban community identity -> Urban poverty -> Urban slums -> Underprovision of basic urban services
7201 | 33.3%720 | 98.1%
Relationships in this row: 1,434.
Component 1 relationships: 1,434.
Example loops shown in this row: 0. The safety limit stopped example enumeration for at least one component; the relationship list remains complete.
Component 1 example loops: 0. Example enumeration stopped at the safety limit.