5/10/2015
**WARNING** A lot of math is about to be discussed.
**CAUTION** The information and calculations below contain estimates and assumptions based on experiences with hundreds of Persian Positions. They will provide a very good estimate, but are just that, estimates.
All of the information above will give you a general idea of how to scout and attack or defend the Persian Positions and minimize troop loss. With some additional information and some more detailed calculations you can fine tune your analysis and come up with a very good estimate of exactly how many of a specific troop type is required to defeat a Position. There are tables and spreadsheets available that can be used to assist with this effort, but we will now discuss the principles behind the calculations.
The table below has been compiled from the results of numerous battles with the Persians. It is valid for both Defensive and Offensive Positions and is the total offensive strength of the Persians for Defensive Positions and the average defensive strength of the Persians for Offensive Positions. This is not the strength required to defeat a Position.
As discussed above, the strength required to defeat the Position will depend on the mix of Persian units and what units you send. Note that these are average values and the actual Persian strength may vary up or down a couple of percentage points.
Average Persian Strength by Level 

Position Level 
Avg Strength 
Position Level 
Avg Strength 
Position Level 
Avg Strength 
Position Level 
Avg Strength 
Position Level 
Avg Strength 
1 
80 
26 
20,000 
51 
170,700 
76 
612,400 
101 
1,496,000 
2 
100 
27 
22,600 
52 
178,400 
77 
636,600 
102 
1,551,000 
3 
150 
28 
25,000 
53 
188,000 
78 
656,000 
103 
1,594,000 
4 
180 
29 
28,100 
54 
203,000 
79 
685,600 
104 
1,672,000 
5 
220 
30 
30,900 
55 
216,000 
80 
717,600 
105 
1,689,000 
6 
300 
31 
34,000 
56 
228,000 
81 
749,100 
106 
1,780,000 
7 
500 
32 
38,000 
57 
243,000 
82 
773,500 
107 
1,816,000 
8 
700 
33 
42,800 
58 
553,900 
83 
801,600 
108 
1,878,000 
9 
1,000 
34 
46,300 
59 
270,800 
84 
825,000 
109 
1,948,000 
10 
1,200 
35 
52,000 
60 
284,400 
85 
877,800 
110 
2,006,000 
11 
1,400 
36 
56,500 
61 
297,900 
86 
897,200 
111 
2,042,000 
12 
2,000 
37 
61,000 
62 
313,600 
87 
927,700 
112 
2,109,000 
13 
2,400 
38 
66,000 
63 
331,600 
88 
976,300 
113 
2,164,000 
14 
3,000 
39 
72,000 
64 
347,200 
89 
1,007,000 
114 
2,216,000 
15 
3,600 
40 
78,000 
65 
369,200 
90 
1,036,000 
115 
2,323,000 
16 
4,200 
41 
84,800 
66 
392,000 
91 
1,067,000 
116 
2,380,000 
17 
4,800 
42 
89,800 
67 
411,100 
92 
1,101,000 
117 
2,404,000 
18 
6,000 
43 
100,000 
68 
423,900 
93 
1,154,000 
118 
2,491,000 
19 
7,500 
44 
105,000 
69 
445,400 
94 
1,217,000 
119 
2,564,000 
20 
8,700 
45 
114,200 
70 
462,300 
95 
1,257,000 
120 
2,604,000 
21 
10,100 
46 
122,300 
71 
497,500 
96 
1,280,000 
121 
2,684,000 
22 
11,600 
47 
130,500 
72 
508,700 
97 
1,336,000 
122 
2,754,000 
23 
13,600 
48 
139,600 
73 
537,000 
98 
1,358,000 
123 
2,851,000 
24 
15,600 
49 
151,300 
74 
551,600 
99 
1,380,000 
124 
2,929,000 
25 
17,500 
50 
159,100 
75 
579,800 
100 
1,472,000 
125 
3,007,000 
While a scouting report from an Offensive Position will provide a very good idea of the relative strength of the Persians additional information is required for more specific calculations. Using the average strength of the Persians in the Position, we will be able to calculate an estimate remaining Persian strength by class.
Using the scouting report above from the level 57 Offensive Position and the information in the Average Persian Strength by Level table the calculations look like this. Here is what we know:
Average Persian strength of a level 57 Position equals 243,000.
Average Persian strength killed in the scouting mission equals 840.
The ratio of these two numbers is also the ratio of the number of Persian units killed to the total number of Persian units per class. So we can now calculate the estimated number of original Persian units at the Position, an estimated number of Persian units remaining, and an estimated remaining strength per unit class.
840 (scouting mission strength) / 243,000 (estimated total strength) = 0.00346 (ratio of units killed per class to the total present)
Using this ratio and the numbers from the scouting report we can calculate the estimated number of total Persians and the estimated number of Persians remaining.
Cavalry – (2 killed in scouting mission / 0.00346) = 578 (total present) – 2 (cavalry killed) = 576 estimated remaining cavalry
Light Infantry – (3 killed / 0.00346) = 867 – 3 = 864 estimated remaining light infantry
Heavy Infantry – (1 killed / 0.00346) = 289 – 1 = 288 estimated remaining heavy infantry
Phalanx – (5 killed / 0.00346) = 1,445 – 5 = 1,440 estimated remaining phalanx
We can now calculate an estimated remaining Persian strength
Persian Defensive Strength 

Unit 
Units 
L Inf 
H Inf 
Phalanx 
Cavalry 
Avg Defense 
Asvaran (Cavalry) 
576 
46080 
46080 
46080 
138240 
69120 
Dailamite (Light Infantry) 
864 
51840 
17280 
17280 
17280 
25920 
Archer (Heavy Infantry) 
288 
11520 
34560 
11520 
11520 
17280 
Immortal (Phalanx) 
1440 
86400 
86400 
259200 
86400 
129600 
Total 
195840 
184320 
334080 
253440 
241920 
The estimated remaining Persian defensive strength per unit class is now summed at the bottom of the table. If we only send heavy infantry at this Position it will take approximately 184,000 in offensive strength. If we only send phalanx at this Position it will take approximately 334,000 in offensive strength. Remember these are just estimates. We used an average Persian strength and only a small sample size from our scouting report.
If you want better information you could send a second, larger scouting force of heavy infantry; add those numbers killed to the numbers from the first scouting mission; and recalculate a new estimated remaining strength.
It is not efficient to manually calculate these numbers every time. There are spreadsheets that have been developed that easily perform the calculations or you can develop your own spreadsheet using the above methodology. If you don’t want to calculate anything at all, you can just use the average strength spreadsheet and know that if you attack their strength you will need to send more than the average and if you attack their weakness you will need to send less than the average.
As mentioned previously, the efficiencies that can be gained from Defensive Positions are not as drastic as from Offensive Positions, but unit loss can be minimized with some additional calculations. Through trial and error the following formula has been developed as a method for estimating the actual average defensive strength of a defensive unit when facing a known Persian force. This calculation will need to be performed for each of your individual units since each unit has a different defensive strength against each unit class.
The first step is to calculate the ratio of the Persian attacking strength for each unit class to the total Persian attacking strength. For the example scouting report above this calculation looks like this.
Persian Offense 
Units 
Offense 
Percentage 
Asvaran (Cavalry) 
1316 
105280 
31.4% 
Dailamite (Light Infantry) 
5276 
105520 
31.4% 
Archer (Heavy Infantry) 
1419 
56760 
16.9% 
Immortal (Phalanx) 
1134 
68040 
20.3% 
Total 
9145 
335600 
100.0% 
The percentage for each class is then multiplied by the defensive strength for each unit class for each individual troop type. Using the base stats for M Peltast, the calculation would look like this.


Mounted Peltast 

Persian Offense 
Persian Percentage 
Base Stats 
Adjusted Stats 
Asvaran (Cavalry) 
31.4% 
725 
227.4 
Dailamite (Light Infantry) 
31.4% 
400 
125.8 
Archer (Heavy Infantry) 
16.9% 
500 
84.6 
Immortal (Phalanx) 
20.3% 
725 
147.0 
Total 
100.0% 
587.5 (Avg) 
584.8 
Based on this calculation, the M Peltast is slightly less efficient in the Position – would defend with a strength of 584.8 versus the base average of 587.5. With a Persian offensive strength of 335,600, it should take approximately (335,600 / 584.5) = 575 M Peltast to defeat this Position.
You can complete the same calculation for each of your defensive units to calculate an estimate of how many of each unit it will take to defeat the Position. This is a lot of calculating. Again, you can create your own spreadsheet to perform the calculations or there are spreadsheets available for use.
This article was written by Aaron Janusz, who granted permission for it to be posted on Plarium.com. Any thoughts or views expressed herein are the player's own, and do not necessarily reflect the views of Plarium Global.