Reputation can be directly linked to the amount of received upvotes

[holger80]

The account reputation level increases with each vote.
How is the reputation increased, when an account was upvoted or flagged?

            if voter_rep > 0:
                if rshares > 0 or (rshares < 0 and voter_rep > votee_rep ):
                    votee_rep  += rshares >> 6

Using this formula, it can be calculated how much votes in SBD an account already has received in his lifetime.

This calculation is only an estimation, reward_balance, and recent_claims is assumed to be fixed. It is also assumed that the account was never flagged and that all voter have a reputation level greater than 25.

The reputation received from a vote is independent of the Steem price, as the ratio of rshares to Steem power is independent of the Steem price. An account with a Steem power of 1000 SP has a vote of 40572847921 rshares.

Thus, a vote influences the reputation independent of the current Steem price.

In the table below, the number of 100% upvotes from an account wiht 1000 Steem Power is shown. E.g. for a reputation score of 30.3 6.18 upvotes from a 1k SP account are needed.

Reputation	Needed 100% 1k SP votes	Diff. to last level
25.0	0.00	0.00
26.0	2.04	2.04
27.0	2.63	0.59
28.0	3.40	0.77
29.0	4.39	0.99
30.0	5.67	1.28
31.0	7.32	1.65
32.0	9.46	2.13
33.0	12.21	2.76
34.0	15.77	3.56
35.0	20.37	4.60
36.0	26.31	5.94
37.0	33.98	7.67
38.0	43.89	9.91
39.0	56.69	12.80
40.0	73.22	16.53
41.0	94.56	21.35
42.0	122.13	27.57
43.0	157.74	35.61
44.0	203.73	45.99
45.0	263.13	59.40
46.0	339.84	76.72
47.0	438.93	99.08
48.0	566.89	127.97
49.0	732.17	165.28
50.0	945.64	213.46
51.0	1221.34	275.70
52.0	1577.42	356.08
53.0	2037.31	459.90
54.0	2631.29	593.98
55.0	3398.44	767.15
56.0	4389.26	990.81
57.0	5668.94	1279.69
58.0	7321.72	1652.78
59.0	9456.37	2134.65
60.0	12213.37	2757.00
61.0	15774.17	3560.80
62.0	20373.13	4598.95
63.0	26312.91	5939.78
64.0	33984.43	7671.52
65.0	43892.57	9908.15
66.0	56689.44	12796.87
67.0	73217.23	16527.79
68.0	94563.69	21346.46
69.0	122133.70	27570.01
70.0	157741.73	35608.04
71.0	203731.28	45989.55
72.0	263129.07	59397.79
73.0	339844.27	76715.19
74.0	438925.75	99081.48
75.0	566894.40	127968.65
76.0	732172.27	165277.87
77.0	945636.86	213464.58
78.0	1221336.96	275700.11
79.0	1577417.35	356080.38
80.0	2037312.85	459895.50
81.0	2631290.72	593977.88
82.0	3398442.65	767151.93
83.0	4389257.47	990814.82
84.0	5668944.02	1279686.55
85.0	7321722.74	1652778.73
86.0	9456368.56	2134645.81
87.0	12213369.64	2757001.09
88.0	15774173.47	3560803.83
89.0	20373128.46	4598954.99
90.0	26312907.24	5939778.78

The table was calculated with beem:

from beem import Steem
import numpy as np
from beem.utils import reputation_to_score
from beem.amount import Amount
from beem.constants import STEEM_100_PERCENT


if __name__ == "__main__":
    price = Amount(stm.get_current_median_history()["base"])
    reps = np.logspace(9, 16, 60)
    used_power = stm._calc_resulting_vote()
    last_sp = 0
    for goal_rep in reps:
        score = reputation_to_score(goal_rep)
        
        needed_rshares = int(goal_rep) << 6
        needed_vests = needed_rshares / used_power / 100
        needed_sp = stm.vests_to_sp(needed_vests)
        
        print("| %.1f | %.2f | %.2f  | " % (score, needed_sp / 1000, needed_sp/ 1000 - last_sp / 1000))
        last_sp=needed_sp

Comments

[timcliff]

Unfortunately the assumption of STEEM price being fixed is going to make this estimation drastically inaccurate. For example, a large percentage of my reputation was earned during the time that STEEM was around $0.10. A large part of @haejin's reputation was earned when STEEM was @2.00+.

[holger80]

The reputation received from a vote is independent of the Steem price, as the ratio of rshares to Steem power is independent of the Steem price. An account with a Steem power of 1000 SP has a vote of 40572847921 rshares, no matter if the Steem price is 0.1$ or 2 $.

Thus, a vote influences the reputation independent of the current Steem price.

[timcliff]

What you said is true, but as soon as you try to convert to “SBD” it starts to include the price in the calculation.