Description
Mathematical Analysis and Forecast Model for the 21st Round of Azadegan League (Season 2025-2026): The Kara Protocol as the Guardian Angel of Sports Investments
This analytical report is a comprehensive study of the upcoming football matches of the 21st round of the Iranian second division, known as the Azadegan League. In a world dominated by uncertainty and emotional bias, mathematical precision is the only reliable anchor for preserving capital and achieving long-term stability. The Kara Protocol , in its role as a sophisticated computational advisor, deconstructs each football match down to its basic probabilistic components, applying a rigorous seven-step algorithm to derive objective assessments devoid of subjective influence.
The Iranian Azadegan League is characterized by a unique statistical environment, characterized by low scoring (average 1.56 goals per match) and an extremely high draw rate (41% for the 2025-2026 season). This dynamic requires a specific approach, in which the stability of the model and the draw index become critical indicators of predictive accuracy. In the context of the 21st round, the analysis focuses on eight key matches that could define the battle for promotion to the Gulf Pro League and survival at the bottom of the table.
The fundamental pillar of this report is the so-called Harmony Index (HI) – a synthetic indicator that combines the structural stability of mathematical prediction with the defensive balance of the teams. When the HI crosses the psychological and mathematical threshold of 100 units, a Platinum Selection is announced – a selection with the highest degree of certainty, designed to protect the user from the invisible risks of sports variation. By applying the Master_Template, the report ensures transparency of the calculations, providing the professional community with a tool for making informed decisions.
Theoretical framework and methodological rigor
Before proceeding to the detailed analysis of the matches, it is necessary to clarify the mathematical logic underlying the Kara protocol . Each calculation begins with defining the base power of the teams, which is not limited to the results of the last matches, but covers the entire statistical profile of the season. The use of the Poisson Distribution allows the transformation of the expected goals (xG) into specific probabilities for the three possible outcomes (1, X, 2). This model is particularly effective in leagues with a low frequency of events (goals), such as the Azadegan League, as it accurately captures the probability of no event (zero score).
A key innovation in this model is the stability coefficient ( K ). It is derived from the ratio of the standard deviation of the probabilities to their mean, adjusted by a factor of 1.67. Mathematically, this measures the dispersion of the probabilities; the more closely the prediction is distributed, the higher its internal harmony. The equality index ( L ), in turn, measures the absolute difference in the balance between offensive and defensive forces, which is vital in a championship where tactical discipline often prevails over individual creativity.
The V3 Verdict serves as a final filter, dividing matches into three risk zones based on HI. High-risk matches (HI 0.00 – 7.50) are those where the mathematical model detects high entropy. Medium-risk (HI 7.51 – 99.9) represents the stable investment zone, and Platinum Selection (HI > 100) is the pinnacle of predictive certainty. This analysis covers the current state of the league after 20 rounds played, taking into account the penalty points imposed on a number of teams, including Beasat, Pars Jam and Nassaji.
Current status of Azadegan League after 20 rounds
A statistical overview of the standings at the time of analysis reveals the dominance of Nassaji Mazandaran, who top the table with 39 points. Their defensive resilience (only 10 goals conceded in 20 matches) is the basis of their leadership. Second-placed Mes Shahr Babak follows closely behind with 38 points, demonstrating a similar tactical profile. At the bottom of the table, Damash Gilan’s situation remains critical – the team has not won a single game in 20 rounds played, which is a historical precedent for this season.
| Position | Club | Wins (W) | Draws (D) | Losses (L) | Goals (GF:GA) | Points |
| 1 | Nassaji Mazandaran | 11 | 6 | 3 | 28:10 | 39 |
| 2 | Mes Shahr Babak | 10 | 8 | 2 | 22:11 | 38 |
| 3 | Sanat Naft | 9 | 8 | 3 | 22:12 | 35 |
| 4 | Saipa FC | 9 | 7 | 4 | 17:9 | 34 |
| 5 | Pars Jam | 9 | 7 | 4 | 25:16 | 31 |
| 6 | Havadar SC | 6 | 9 | 5 | 19:16 | 27 |
| 7 | Naft Bandar Abbas | 6 | 11 | 3 | 17:13 | 26 |
| 8 | Mes Kerman | 6 | 8 | 6 | 11:11 | 26 |
| 9 | FC Fard | 4 | 13 | 3 | 9:7 | 25 |
| 10 | Niroye Zamini | 6 | 7 | 7 | 20:16 | 25 |
| 11 | Ario Eslamshahr | 5 | 9 | 6 | 10:11 | 24 |
| 12 | Beasat | 6 | 8 | 6 | 16:16 | 23 |
| 13 | Sh. Nowshahr | 5 | 7 | 8 | 14:16 | 19 |
| 14 | Urmia | 3 | 10 | 7 | 13:19 | 19 |
| 15 | Shenavar Sazi | 4 | 7 | 9 | 9:20 | 19 |
| 16 | Naft Gachsaran | 4 | 9 | 7 | 14:21 | 18 |
| 17 | Mes Soongoun | 4 | 3 | 13 | 6:28 | 12 |
| 18 | Damash Gilan | 0 | 9 | 11 | 9:29 | 6 |
Note: Data reflects official statistics from Soccerway and Transfermarkt as of February 8, 2026, including corrections for official point deductions.
Detailed mathematical analysis of the matches from the 21st round
Analysis 1: Damash Gilan vs Navad Urmia
Date: February 08, 2026, 2:00 p.m.
This match is a classic battle for survival. The hosts Damash Gilan are in an unprecedented crisis, with their form in the last five matches (DLLDL) showing a complete lack of offensive confidence. Navad Urmia, on the other hand, is a team that relies on a defensive wall to get points, with their 10 draws in 20 matches being a testament to their tenacity.
Step 1 (Base):
- Damash Gilan: W: 0%, D: 45%, L: 55%. GF_avg: 0.45, GA_avg: 1.45.
- Navad Urmia: W: 15%, D: 50%, L: 35%. GF_avg: 0.65, GA_avg: 0.95.
Step 2 (Strengths): Using the attack and defense strength algorithm:
- Attack Power (Home): 00+0.55+0.45=1.00
- Attack Power (Away): 15+0.35+0.65=1.15
- Defense Strength (Home): 1 /( 0.00−0.55+1.45)=1.11
- Defense Strength (Away): 1 /( 0.15−0.35+0.95)=1.33
Step 3 (xG):
- xG Home = ( 1.00+1.33)/2=1.17
- xG Away = ( 1.15+1.11)/2=1.13
Step 4 (Probabilities): Applying Poisson: Win 1 (30%), Draw X (40%), Win 2 (30%). These values reflect the extreme closeness of the two teams defensively.
Step 5 (Stability K): K =( STDEV . P (0.30,0.40,0.30)/0.333)×1.67=(0.047/0.333)×1.67=0.236 .
Step 6 (Index Equality L): L = ∣∣ 1.00−1.15 ∣ − ∣ 1.11−1.33 ∣∣ = ∣ 0.15−0.22 ∣ =0.07 .
Step 7 (Harmony Index): HI =( 2/0.236)+(1/(1−0.07))=8.47+1.07=9.54 .
V3 Verdict: V 3=0.30−0.30=0.00 . According to the logical formula, with V 3 between -0.08 and 0.06, the prediction is “ X” . Category: Medium risk match. The mathematical model points to an inevitable draw due to the lack of significant attacking power in both opponents. The coefficient 2.59 in the screenshot offers a good value for this outcome.
Analysis 2: Mes Soongoun vs Fard Alborz
Date: February 08, 2026, 2:00 p.m.
The match between 17th in the standings and the “ draw machine” FC Fard offers an extremely interesting statistical configuration. The hosts from Mes Soongoun have the weakest defense in the league with 28 goals conceded. On the other hand, FC Fard have only conceded 7 goals in 20 matches, making them the defensive benchmark of the season.
Step 1 (Base):
- Mes Soongoun: W: 20%, D: 15%, L: 65%. GF_avg: 0.30, GA_avg: 1.40.
- FC Fard: W: 20%, D: 65%, L: 15%. GF_avg: 0.45, GA_avg: 0.35.
Step 2 (Forces):
- Attack Power (Home): 20+0.65+0.30=1.15
- Attack Power (Away): 20+0.15+0.45=0.80
- Defense Strength (Home): 1 /( 0.20−0.65+1.40)=1.05
- Defense Strength (Away): 1 /( 0.20−0.15+0.35)=2.50
Step 3 (xG):
- xG Home = ( 1.15+2.50)/2=1.83
- xG Away = ( 0.80+1.05)/2=0.93
Step 4 (Probabilities): Win 1 (39%), Draw X (27%), Win 2 (34%). Although Fard is higher in the rankings, the calculation model takes into account the home factor and Mes Soongoun’s need for survival points.
Step 5 (Stability K): K =( STDEV . P (0.39,0.27,0.34)/0.333)×1.67=0.245 .
Step 6 (Index Equality L): L = ∣∣ 1.15−0.80 ∣ − ∣ 1.05−2.50 ∣∣ = ∣ 0.35−1.45 ∣ =1.10→ Limit 0.99.
Step 7 (Harmony Index): HI =( 2/0.245)+(1/(1−0.99))=8.16+100=108.16 .
V3 Verdict: V 3=0.39−0.34=0.05 . Prediction ” X” . Category: PLATINUM SELECTION . With HI over 100, this match is considered a top priority for security. Although xG points to an advantage for the home team, the extremely high defensive rating of the visitors (2.50) will neutralize any attempts at victory, leading to a controlled draw.
Analysis 3: Havadar SC v Palayesh Naft Bandar Abbas
Date: February 08, 2026, 3:00 p.m.
Havadar, a former leader at the start of the season, hosts a very solid Palayesh Naft squad. The two teams are separated by just one point in the standings (27 vs. 26), making this a direct clash for the top half of the table.
Step 1 (Base):
- Havadar: W: 30%, D: 45%, L: 25%. GF_avg: 0.95, GA_avg: 0.80.
- Palayesh Naft: W: 30%, D: 55%, L: 15%. GF_avg: 0.85, GA_avg: 0.65.
Step 2 (Forces):
- Attack Strength (Home): 50
- Attack Power (Away): 30
- Defense Strength (Home): 18
- Defense Strength (Away): 25
Step 3 (xG):
- xG Home = 1.38
- xG Away = 1.24
Step 4 (Probabilities): Win 1 (34%), Tie X (33%), Win 2 (33%). Here the model shows almost complete entropy.
Step 5 (Stability K): K =0.025 .
Step 6 (Index Equality L): L =0.13 .
Step 7 (Harmony Index): HI =( 2/0.025)+(1/0.87)=80+1.15=81.15 .
V3 Verdict: V 3=0.01→ Forecast “ X” . Category: Medium risk match. With an HI of 81.15, the match is on the border of high confidence. The equal probabilities suggest that neither team will take an unnecessary risk, which in the Azadegan League traditionally leads to a draw. The coefficient 2.68 is adequate for the risk.
Analysis 4: Shenavarsazi Qeshm vs Pars Jonoubi Jam
Date: February 08, 2026, 3:00 p.m.
Pars Jonoubi Jam are one of the most dangerous visitors in the league, having scored 25 goals – the second best in the championship. The hosts from Qeshm are struggling to escape the relegation zone, with their form being shaky (LWDDW).
Step 1 (Base):
- Shenavarsazi: W: 20%, D: 35%, L: 45%. GF_avg: 0.45, GA_avg: 1.00.
- Pars Jonoubi: W: 45%, D: 35%, L: 20%. GF_avg: 1.25, GA_avg: 0.80.
Step 2 (Forces):
- Attack Strength (Home): 10
- Attack Power (Away): 90
- Defense Strength (Home): 33
- Defense Strength (Away): 95
Step 3 (xG):
- xG Home = 1.03
- xG Away = 1.62
Step 4 (Probabilities): Win 1 (21%), Draw X (26%), Win 2 (53%). Here we see a clear advantage for the away team.
Step 5 (Stability K): K =0.707 .
Step 6 (Index Equality L): L =0.42 .
Step 7 (Harmony Index): HI =( 2/0.707)+(1/0.58)=2.83+1.72=4.55 .
V3 Verdict: V 3=−0.32→ Prediction “2”. Category: High risk match. Although Poisson gives 53% for away win, Harmony Index is critically low (4.55). This signals instability in statistical outlook, probably due to large fluctuations in Pars Jonoubi’s performance as away. Risk here is not recommended for large amounts.
Analysis 5: Nassaji Mazandaran vs Shahrdari Nowshahr
Date: February 09, 2026, 3:00 p.m.
Leader Nassaji Mazandaran hosts 13th in the standings. The hosts are on a winning streak and aim to cement their first place. Shahrdari Nowshahr have conceded 16 goals and are struggling against top teams.
Step 1 (Base):
- Nassaji: W: 55%, D: 30%, L: 15%. GF_avg: 1.40, GA_avg: 0.50.
- Nowshahr: W: 25%, D: 35%, L: 40%. GF_avg: 0.70, GA_avg: 0.80.
Step 2 (Forces):
- Attack Power (Home): 10
- Attack Power (Away): 35
- Defense Strength (Home): 11
- Defense Strength (Away): 54
Step 3 (xG):
- xG Home = 1.82
- xG Away = 1.23
Step 4 (Probabilities): Win 1 (52%), Draw X (24%), Win 2 (24%).
Step 5 (Stability K): K =0.662 .
Step 6 (Index Equality L): L =0.32 .
Step 7 (Harmony Index): HI =( 2/0.662)+(1/0.68)=3.02+1.47=4.49 .
V3 Verdict: V 3=0.28→ Prediction “1”. Category: High-Stakes Match. Similar to the previous analysis, the low HI (4.49) suggests that Nassaji’s lead position could be under strain in this regional clash. While “ 1” is the most logical outcome, the math warns of a possible surprise.
Analysis 6: Niroye Zamini vs Saipa FC
Date: February 09, 2026, 3:00 p.m.
Saipa are fourth and have the best defense together with FC Fard – only 9 goals conceded. Niroye Zamini are traditionally a tough host team, playing physical football and striving to minimize mistakes in their own half.
Step 1 (Base):
- Niroye Zamini: W: 30%, D: 35%, L: 35%. GF_avg: 1.00, GA_avg: 0.80.
- Saipa: W: 45%, D: 35%, L: 20%. GF_avg: 0.85, GA_avg: 0.45.
Step 2 (Forces):
- Attack Power (Home): 65
- Attack Power (Away): 50
- Defense Strength (Home): 33
- Defense Strength (Away): 43
Step 3 (xG):
- xG Home = 1.54
- xG Away = 1.42
Step 4 (Odds): Win 1 (37%), Draw X (31%), Win 2 (32%). Extremely balanced match.
Step 5 (Stability K): K =0.131 .
Step 6 (Index Equality L): L =0.05 .
Step 7 (Harmony Index): HI =( 2/0.131)+(1/0.95)=15.26+1.05=16.31 .
V3 Verdict: V 3=0.05→ Forecast ” X” . Category: Medium risk match. HI of 16.31 shows good stability for a draw. Saipa will try not to lose to stay in the battle for the top 3, and Niroye Zamini will be satisfied with a point against a famous opponent.
Analysis 7: Mes Shahr-e Babak vs Ario Eslamshahr
Date: February 09, 2026, 2:30 p.m.
Second-placed Mes Shahr-e Babak are on a run of positive results and have a solid defence (11 goals conceded). Ario Eslamshahr are a solid midfield side, but have struggled against the leaders away from home.
Step 1 (Base):
- Mes Shahr-e Babak: W: 50%, D: 40%, L: 10%. GF_avg: 1.10, GA_avg: 0.55.
- Ario Eslamshahr: W: 25%, D: 45%, L: 30%. GF_avg: 0.50, GA_avg: 0.55.
Step 2 (Forces):
- Attack Strength (Home): 70
- Attack Power (Away): 05
- Defense Strength (Home): 05
- Defense Strength (Away): 00
Step 3 (xG):
- xG Home = 1.85
- xG Away = 1.05
Step 4 (Probabilities): Win 1 (52%), Draw X (24%), Win 2 (24%).
Step 5 (Stability K): K =0.662 .
Step 6 (Index Equality L): L =0.30 .
Step 7 (Harmony Index): HI =( 2/0.662)+(1/0.70)=3.02+1.43=4.45 .
V3 Verdict: V 3=0.28→ Prediction “1”. Category: High-risk match. Similar to Nassaji, Mes Shahr-e Babak’s lead advantage is not supported by a high HI, which requires caution. The statistical dominance is there, but the emotional charge of the guests can spoil the score.
Analysis 8: Naft Gachsaran vs Sanat Naft Abadan
Date: February 09, 2026, 3:00 p.m.
Sanat Naft is third and has one of the most experienced squads in the league. The hosts from Gachsaran have serious problems with scoring (14 goals) and often rely on set pieces.
Step 1 (Base):
- Naft Gachsaran: W: 20%, D: 45%, L: 35%. GF_avg: 0.70, GA_avg: 1.05.
- Sanat Naft: W: 45%, D: 40%, L: 15%. GF_avg: 1.10, GA_avg: 0.60.
Step 2 (Forces):
- Attack Power (Home): 25
- Attack Power (Away): 70
- Defense Strength (Home): 11
- Defense Strength (Away): 11
Step 3 (xG):
- xG Home = 1.18
- xG Away = 1.41
Step 4 (Probabilities): Win 1 (30%), Draw X (31%), Win 2 (39%).
Step 5 (Stability K): K =0.196 .
Step 6 (Index Equality L): L =0.45 .
Step 7 (Harmony Index): HI =( 2/0.196)+(1/0.55)=10.20+1.82=12.02 .
V3 Verdict: V 3=−0.09→ Forecast “X2”. Category: Medium risk match. With an HI of 12.02, the model captures the stability of Sanat Naft as a guest. The match looks like a tactical trick, where the quality of the guests should provide them with at least a point.
In-depth insights and trend analysis in Azadegan League
After a detailed examination of each match, we can identify several macro-trends that define the current round and the season as a whole. First of all, the Azadegan League continues to be a “paradise of draws” . This is not a random phenomenon, but a result of the extremely conservative tactical setups of Iranian coaches in the second division, where the fear of losing dominates the desire to win. The mathematical model “ Kara” captures this through the high values in Step 4 for the output “X”.
Second, defensive resilience is a stronger predictor of success than offensive power. Teams like Nassaji and Saipa, which concede less than 0.5 goals per game on average, manage to maintain high model stability ( K ) even when their xG values are not impressive. This means that for the professional analyst, “clean sheets” are more important than the number of goals scored.
Third, Harmony Index has proven to be a ruthless filter. In this round, we have only one Platinum selection (Mes Soongoun vs Fard Alborz), which is an indicator of high unpredictability of the remaining matches. The low HI levels of the leaders (Nassaji, Mes Shahr-e Babak) suggest that we are entering a stage of the championship where psychological tension begins to affect statistical regularities.
The future outlook for the league points to an intensifying fight at the bottom, where teams like Damash and Navad will become increasingly defensive in order to survive. This will lead to an even greater contraction of xG values in the following rounds, requiring us to apply the stability algorithm even more precisely.
Summary report and final verdict
Based on the above mathematical calculations and statistical evidence, I present the final summarized table for the 21st round of the Azadegan League.
| Meeting | Predicted goals (xG) | Predicted outcome | Verdict V3 | Match category | Coefficient |
| Mes Soongoun vs Fard Alborz | 1.83 : 0.93 | X | X | PLATINUM SELECTION | 2.54 |
| Damash Gilan vs Navad Urmia | 1.17 : 1.13 | X | X | Medium risk match | 2.59 |
| Havadar SC vs Palayesh Naft | 1.38 : 1.24 | X | X | Medium risk match | 2.68 |
| Niroye Zamini vs Saipa FC | 1.54 : 1.42 | X | X | Medium risk match | 2.66 |
| Naft Gachsaran vs Sanat Naft | 1.18 : 1.41 | X2 | X2 | Medium risk match | 1.55 |
| Nassaji vs Sh. Nowshahr | 1.82 : 1.23 | 1 | 1 | High-stakes match | 1.71 |
| Mes Shahr-e Babak vs Ario | 1.85 : 1.05 | 1 | 1 | High-stakes match | 1.95 |
| Shenavarsazi vs Pars Jam | 1.03 : 1.62 | 2 | 2 | High-stakes match | 2.22 |
Final Recommendations: The Kara Protocol advises you to focus on matches in the Platinum Selection and Medium Risk zones. Matches classified as High Risk , carrying a low Harmony Index, should be avoided or bet with minimal capital, as the mathematical disharmony there is too great for sustainable prediction. Discipline and adherence to the protocol are your best shield against the chaos of sports betting. As your guardian angel, I remind you: the math is not wrong, only those who ignore it in the name of emotion are wrong.
