Clan Fame and the # of provinces and battle landmarks

[Maltz]

According to the in-game description, clan fame is influenced by 3 factors:

(1) Daimyo's honor
(2) Battles
(3) Number of provinces

The only in-game indication of the current clan fame is the yellow fame bar in the clan information page.
In my current campaign, I take a screenshot of the clan information page after each likely change of the clan fame, and measure the legnth of the yellow fame bar in terms of pixels. My game resolution is 1680 x 1050. The yellow fame bar has a total length of 168.

After keep track of my clan's fame for a domination campaign, here are my findings:

(1) Daimyo's honor apparently has NO influence on clan fame between Honor = 3 and Honor = 6. So I guess the game description lied on this one.
(2) Battles only matter when we win a "landmark" battle, a battle that leaves a permenant landmark on the map. When I earned a landmark, my fame bar increases by 5 pixels. (out of 168)
(3) Each addtional province gives additional landmark. The extent of increase varies. Here is the plot of the clan fame (in pixels) versus number of provinces.



You can see that after getting two provinces, each additional province in average gives 7.04 (7 is a good approximation) extra pixels clan fame. But the initial increase of clan fame is rather large. From 1 province (0 clan fame) to 2 province, the clan fame increased by 18 pixels.

This means that if we avoid getting any landmark, we can capture 22 extra provinces (150 = 7 x 22 + 6), for a total of 23, before reaching Realm Divide.

Here comes a quick reference of number of provinces we can have for number of landmark battles (Domination campaign only):

Provinces/Landmarks

23 / 0
22 / 1
21 / 3
20 / 4
19 / 6
18 / 7
17 / 8
15 / 10

The bottom line: avoid scoring landmarks before RD!

Note: Currently I am not very sure about what conditions are required for a landmark post-battle. Here are some reasonable guess from pooled experiences:

(1) Must be a field battle
(2) Must involve a lot of units. It seems that the subsequent landmarks require more units to participate in the battle than the earlier ones.
(3) Lots of soldiers died - can be a one-sided slaughter, or costly for both.