Tuesday, February 22, 2022

Aslan Family Structure

In one of the best Dungeons & Dragons games I ever played in, each player character was a junior member of an extended noble household, similar to the Starks of Winterfell from Game of Thrones. There were brothers, illegitimate half-brothers, cousins, children of retainers and allies, and hostages. The genius of this setup was that each character began the game with an inherent relationship with all of the other characters as well as the major NPCs in the household. And since almost everybody has a family and can relate to familial issues, the players could easily identify with and engage in this rich, complicated, and occasionally messy situation. I think any kind of Aslan game would greatly benefit from adopting such a setup, since the family is so central to Aslan identity. So understanding the composition of a typical Aslan family becomes very helpful.

CT Aslan (1984) provides some useful insights into the structure of Aslan families (ekho). We know that the average family includes 2 to 12 individuals under a patriarchal leader (3). We know that the average male has 0–5 wives, or 2.5 on average (5). Finally, we know that approximately three females are born to every male born (9).

CT Aslan doesn’t detail how many children each wife is expected to produce, but if we assume each wife produces 0–4 children (1D - 2), or an average of 1.67 children, the average family will have 4.17 children in a total household of 7.67 individuals, which falls within the range described in CT Aslan. With 4.17 children, most Aslan families would have at least one male child, which is vital for the continuance of the family. If we adjust that average number of children per wife up or down even slightly, we can end up with so few males that most Aslan families would not have heirs, or else the average family is larger than the upper range given in CT Aslan.

The number of wives (ekhiy) is generally related to the Social Standing of the patriarch (ekaw, or tao’): higher status males would be expected to have more wives than lower status males. The following table could be used in lieu of 1D - 1 for generating the number of wives:

Number of Aslan Wives
Patriarch SOC1D
123456
0000111
1–2011223
3–5012234
6–8012345
9–11123345
12–14233445
15+344556

The number of children in a family is, obviously, related to the number of wives.

Average Number of Aslan Children
ChildrenWives
012345
0.001.673.335.006.678.33

The following table lists the number of D6 combinations that result in X wives producing Y number of Aslan children. For example, a single wife has a 2 in 6 chance (33.33%) of producing no children, while two wives reduces the odds of no children to 4 in 36 (11.11%), three wives to 8 in 216 (3.7%), and so on. The aggregate probability of an Aslan family producing no children is roughly 25%, while the probability of 20 children is 0.002%.

Distribution of Aslan Children
Number of
Children
Number of WivesAggregate
Probability
012345
00248163224.97%
10141232806.14%
201518561607.54%
301625882809.22%
40173312945011.19%
5004301486017.36%
6003281627457.23%
7002241648556.72%
8001181519055.73%
9000101208654.17%
100006927813.32%
110003646552.46%
120001395051.66%
130000203551.02%
140000102350.63%
15000041410.35%
1600001750.17%
1700000350.075%
1800000150.032%
190000050.011%
200000010.002%
Total06362161,2967,776100%

Households with no wives might represent a young, newly installed patriarch who has not yet taken a wife; a poor, luckless male who has not found a suitable mate; or perhaps an older patriarch whose wife or wives have died or left the household. Although the table assumes that households without wives have no children, that may not always be true.

An Aslan household may include additional members beyond the patriarch, his wives, and their children. GURPS Traveller: Alien Races 2 (1999) has an evocative description of a typical Aslan household:

The ekho includes the patriarch, his wife (or wives), the patriarch’s unmarried siblings, aged parents, orphans of blood relatives adopted into the family, and perhaps members of allied or conquered clans exchanged for one’s own relatives. This last allows future comrades-in-arms to train together while young, and provides hostages for the good behavior of new vassals (10).

Let’s assume a typical Aslan household contains 1D - 3 additional members. The number of additional members is probably correlated to the number of wives. A patriarch without a wife likely needs significant assistance from female blood relatives to keep the household running, while adding extra members to a household with many wives might only add headaches. The following table can be used to determine the number of additional family members based on the number of additional wives:

Number of Additional Family Members
Wives1D
123456
0223456
1011234
2001234
3001123
4000123
5000012
6000001

The following table can be used to determine the nature of each additional household member.

Additional Household Members
2DRelationship
2Patriarch’s father
3–4Patriarch’s unmarried brother
5Exchanged child from allied clans
6Patriarch’s mother
7–8Patriarch’s unmarried sister
9Patriarch’s aunt
10Adopted orphan of blood relatives
11Patriarch’s uncle
12Hostage from conquered clans

So let’s consider a hypothetical pool of one million Aslan families. The following table details how many children of each sex this pool of families would be expected to produce:

Population Distribution per 1 Million Aslan Families
Children
per Family
Number of
Families
PatriarchsWivesFemale
Children
Male
Children
Other
Members
0249,657249,657122,77100249,657
161,38561,385117,62746,03915,34661,385
275,44675,446161,694113,16937,72375,446
392,16492,164216,478207,36969,12392,164
4111,883111,883283,565335,649111,883111,883
573,58173,581247,021275,92991,97673,581
672,29572,295255,766325,328108,44372,295
767,19467,194250,064352,769117,59067,194
857,33557,335225,587344,010114,67057,335
941,68841,688177,576281,39493,79841,688
1033,20033,200144,912249,00083,00033,200
1124,58424,584110,061202,81867,60624,584
1216,61116,61176,496149,49949,83316,611
1310,18110,18148,33299,26533,08810,181
146,3236,32330,32866,39222,1316,323
153,5373,53717,16839,79113,2643,537
161,7361,7368,55220,8326,9441,736
177507503,7519,5633,188750
183223221,6084,3471,449322
191071075361,525508107
20212110731510521
 1,000,0001,000,0002,500,0003,125,0031,041,6681,000,000

Our theoretical pool of 1 million families has a total population of 8,666,671, including additional household members.

Within Aslan society, the entire family landhold is passed from the father to the eldest son, or htatei. Younger sons, ihatei, inherit nothing. As detailed in the following table, the more children in a family reduces the possibility that no male heir is produced, but also increases the chance for ihatei.

Probability of Sons
Total
Children
Number of Sons
012345678910111213
175%25%            
256%38%6.25%           
342%42%14.1%1.6%          
432%42%21.1%4.7%0.39%         
524%40%26.4%8.8%1.46%0.10%        
618%36%29.7%13.2%3.30%0.44%0.02%       
713%31%31.1%17.3%5.77%1.15%0.13%0.01%      
810%27%31.1%20.8%8.65%2.31%0.38%0.04%0.00%     
98%23%30.0%23.4%11.68%3.89%0.87%0.12%0.01%0.00%    
106%19%28.2%25.0%14.60%5.84%1.62%0.31%0.04%0.00%0.00%   
114%15%25.8%25.8%17.21%8.03%2.68%0.64%0.11%0.01%0.00%0.00%  
123%13%23.2%25.8%19.36%10.32%4.01%1.15%0.24%0.04%0.00%0.00%0.00% 
132%10%20.6%25.2%20.97%12.58%5.59%1.86%0.47%0.09%0.01%0.00%0.00%0.00%
142%8%18.0%24.0%22.02%14.68%7.34%2.80%0.82%0.18%0.03%0.00%0.00%0.00%
151%7%15.6%22.5%22.52%16.51%9.17%3.93%1.31%0.34%0.07%0.01%0.00%0.00%
161%5%13.4%20.8%22.52%18.02%11.01%5.24%1.97%0.58%0.14%0.02%0.00%0.00%
171%4%11.4%18.9%22.09%19.14%12.76%6.68%2.79%0.93%0.25%0.05%0.01%0.00%
181%3%9.6%17.0%21.30%19.88%14.36%8.20%3.76%1.39%0.42%0.10%0.02%0.00%
190%3%8.0%15.2%20.23%20.23%15.74%9.74%4.87%1.98%0.66%0.18%0.04%0.01%
200%2%6.7%13.4%18.97%20.23%16.86%11.24%6.09%2.71%0.99%0.30%0.08%0.02%

We can then apply these numbers to our million families to estimate the number of htatei and ihatei, as well as the number of families without any male heirs:

Male Children
Children
per Family
FamiliesHtateiIhateiFamilies
without
Male Heirs
0249,65700249,657
161,38515,346046,039
275,44633,0084,71542,438
392,16453,28215,84138,882
4111,88376,48335,40035,400
573,58156,12035,85617,461
672,29559,42949,01412,867
767,19458,22559,3658,969
857,33551,59563,0755,740
941,68838,55855,2403,130
1033,20031,33051,6701,870
1124,58423,54644,0601,038
1216,61116,08533,748526
1310,1819,93923,149242
146,3236,21115,920113
153,5373,4909,77447
161,7361,7195,22517
177507452,4436
183223201,1292
191071064020
202121840
Total1,000,000535,558506,110464,444

In a pool of 1 million families, 535,558 male children (roughly 51.41% of males) are first-born htatei, and 506,110 (48.59%) are ihatei. If we assume that each htatei will take 2.5 females for wives, that translates into 1,338,895 marriageable females and 1,786,108 unmarried females. In this same pool of 1 million, 464,444 families (46%), have no male heirs.

In my next post, I’ll consider the interesting social and cultural implications of these numbers.

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