Inspired by the Ancestor Score  -  also called "Completeness Statistics"  -  of other blogs and GeneaNet's definition, I generated my first one in February 2016. Since then I haven't just been able to increase my score, because I also had to remove a whole line of wrong ancestors***. I could partially replace them by already existing ancestors - due to inbreeding among my ancestors. That didn't increase the score either. Therefore, I had to remove the 2017 score to be able to continue this series. 
  
In 2020, I was finally able to add a lot of new medieval and 16th-century ancestors, but I also had to delete some wrong 16th-century people. Luckily, the end result was a growth in ancestors. I was able to add so many ‘new’ (to me) ancestors, as a result of new publications on HoGenDa.nl, and time saving by the staying-at-home in 2020 due to the Covid-19 virus. Therefore, I've decided to publish this year's score on New Year's Day.
Geneanet defines the Ancestor Score as 
“comparing the number of possible ancestors with the number of identified ancestors on a 10-generation report”.
My Ancestor Score at generation 10 in the period 1600-1740 is 79.7%, because some cousins intermarried in the 7th generation.
Tracing a person's lineage back in time forms a binary tree of 2 parents, 
4 grandparents, 8 great-grandparents and so on. However, the number of 
individuals in such an ancestor tree grows exponentially and will 
eventually become impossibly high. For example, an individual human 
alive today would - over 30 generations, going back to about the High 
Middle Ages - have about 1.07 billion ancestors, more than the total 
world population at that time. 
  In reality, an ancestor tree is not a binary tree. Rather, pedigree collapse changes the binary tree to a directed acyclic graph (d.a.g.) with a vertex for each family member and an edge for each parent-child relationship. 
The
 total number of my “known” ancestors - starting with my parents 
(generation 2) - is currently just over 5000. The generation with the highest 
number of ancestors is generation 12 with 811 ancestors, 39½ % of that generation. In the next generation I have found 19½ % of my ancestors, a total of 804 people.
   
   My ancestors mostly originate in the provinces of South Holland and North Brabant (mostly in the part that belonged to Holland before 1800) - with a recent increase in the number of ancestors in the province of Utrecht.
Composition and Bandwidth of various Generations 
 | ||||||||||
Generations  
 | 
Composition 
 | 
  Bandwidth**   
 | ||||||||
  Men 
 | 
Women 
 | 
  Total 
 | 
% 2021 
 | 
% 2020 
 | 
% 2019 
 | 
% 2018* 
 | 
% 2016 
 | 
From 
 | 
Until 
 | 
|
G 3 
 | 
2 
 | 
2 
 | 
4 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
1892 
 | 
1906 
 | 
G 4 
 | 
4 
 | 
4 
 | 
8 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
1850 
 | 
1880 
 | 
G 5 
 | 
8 
 | 
8 
 | 
16 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
1804 
 | 
1857 
 | 
G 6 
 | 
16 
 | 
16 
 | 
32 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
100.0 
 | 
1756 
 | 
1832 
 | 
G 7 
 | 
30 
 | 
30 
 | 
60 
 | 
93.8 
 | 
93.8 
 | 
93.8 
 | 
93.8 
 | 
93.8 
 | 
1724 
 | 
1802 
 | 
G 8 
 | 
59 
 | 
59 
 | 
118 
 | 
92.2 
 | 
92.2 
 | 
92.2 
 | 
92.2 
 | 
90.6 
 | 
1680 
 | 
1777 
 | 
G 9 
 | 
114 
 | 
113 
 | 
227 
 | 
88.7 
 | 
89.1 
 | 
89.1 
 | 
88.3 
 | 
86.7 
 | 
1645 
 | 
1750 
 | 
G 10 
 | 
207 
 | 
201 
 | 
408 
 | 
79.7 
 | 
79.7 
 | 
79.5 
 | 
78.7 
 | 
76.4 
 | 
1600 
 | 
1740 
 | 
G 11 
 | 
335 
 | 
307 
 | 
642 
 | 
62.7 
 | 
61.8 
 | 
61.2 
 | 
60.8 
 | 
57.0 
 | 
1560 
 | 
1700 
 | 
G 12 
 | 
437 
 | 
374 
 | 
811 
 | 
39.6 
 | 
38.4 
 | 
37.6 
 | 
37.3 
 | 
33.8 
 | 
1510 
 | 
1695 
 | 
G 13 
 | 
460 
 | 
344 
 | 
804 
 | 
19.6 
 | 
18.7 
 | 
18.1 
 | 
17.9 
 | 
15.7 
 | 
1505 
 | 
1670 
 | 
G 14 
 | 
394 
 | 
273 
 | 
667 
 | 
8.1 
 | 
7.3 
 | 
7.0 
 | 
7.1 
 | 
6.1 
 | 
1440 
 | 
1625 
 | 
G 15 
 | 
282 
 | 
175 
 | 
457 
 | 
2.8 
 | 
2.3 
 | 
2.0 
 | 
2.0 
 | 
1.6 
 | 
1440 
 | 
1580 
 | 
G 16 
 | 
157 
 | 
89 
 | 
246 
 | 
0.8 
 | 
0.6 
 | 
0.6 
 | 
0.6 
 | 
0.5 
 | 
1395 
 | 
1540 
 | 
G 17 
 | 
91 
 | 
43 
 | 
134 
 | 
0.2 
 | 
0.2 
 | 
0.2 
 | 
0.2 
 | 
0.1 
 | 
1365 
 | 
1500 
 | 
G 18 
 | 
56 
 | 
27 
 | 
83 
 | 
0.1 
 | 
0.1 
 | 
0.1 
 | 
0.1 
 | 
0.0 
 | 
1335 
 | 
1500 
 | 
G 19 
 | 
42 
 | 
17 
 | 
59 
 | 
0 
 | 
0 
 | 
0 
 | 
0 
 | 
0 
 | 
1310 
 | 
1440 
 | 
G 20 
 | 
27 
 | 
13 
 | 
40 
 | 
0 
 | 
0 
 | 
0 
 | 
0 
 | 
0 
 | 
1300 
 | 
1400 
 | 
*) All years feature statistics of the month February except for the years 2018 (August) and 2021 (January)..
**) The Bandwidth of a generation is determined by the earliest and latest known birth or baptism date within that generation.
***) I have many ancestors in places like Sint Anthoniepolder, 's-Gravendeel, Wieldrecht and Hendrik-Ido-Ambacht, where pre-1800 baptism records are missing.
Further Reading: Geneanet's Ancestor Score Definition, Equivalent Complete Generations, Completeness Index.
  
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