Quick gym demotivation reference table
Since it's been asked here and I don't have time to publish a spreadsheet for that, here's a table for calculating gym defender demotivation:
| Max CP | CP% decay | Hourly CP decay | Hours to 2 battles | Hours to 1 battle | CP for 2 battles | CP for 1 battle |
|---|---|---|---|---|---|---|
| 200 | 1.40% | 3 | 19.04 | 38.08 | 146 | 93 |
| 400 | 1.53% | 6 | 17.40 | 34.80 | 293 | 186 |
| 600 | 1.72% | 10 | 15.48 | 30.96 | 440 | 280 |
| 800 | 1.98% | 16 | 13.48 | 26.96 | 586 | 373 |
| 1000 | 2.31% | 23 | 11.52 | 23.05 | 733 | 466 |
| 1200 | 2.75% | 33 | 9.69 | 19.38 | 880 | 560 |
| 1400 | 3.32% | 47 | 8.02 | 16.05 | 1026 | 653 |
| 1600 | 4.07% | 65 | 6.55 | 13.10 | 1173 | 746 |
| 1800 | 5.05% | 91 | 5.28 | 10.56 | 1320 | 840 |
| 2000 | 6.34% | 127 | 4.20 | 8.41 | 1466 | 933 |
| 2200 | 8.06% | 177 | 3.31 | 6.62 | 1613 | 1026 |
| 2400 | 10.00% | 240 | 2.67 | 5.33 | 1760 | 1120 |
| 2600 | 10.00% | 260 | 2.67 | 5.33 | 1906 | 1213 |
| 2800 | 10.00% | 280 | 2.67 | 5.33 | 2053 | 1306 |
| 3000 | 10.00% | 300 | 2.67 | 5.33 | 2200 | 1400 |
| 3200 | 10.00% | 320 | 2.67 | 5.33 | 2346 | 1493 |
| 3400 | 10.00% | 340 | 2.67 | 5.33 | 2493 | 1586 |
| 3600 | 10.00% | 360 | 2.67 | 5.33 | 2640 | 1680 |
| 3800 | 10.00% | 380 | 2.67 | 5.33 | 2786 | 1773 |
| 4000 | 10.00% | 400 | 2.67 | 5.33 | 2933 | 1866 |
The original formula is
CP % decay per hour = 80/60 x exp ((MaxCP/1487)^(1.5)) (capped at 10% around 2373 CP)
and it's derived from this dataset.
"Hours to 2 battles" and "Hours to 1 battle" is the time needed for motivation to drop enough that only 2 battles or 1 battle respectively are needed to kick out the defender.
"CP for 2 battles / 1 battle" are the CP thresholds below which the attacker only needs 2 battles / 1 battle to remove the defender.
EDIT: Thanks u/DrThod_PokemonGo for collecting the data and for calculating the motivation thresholds.
EDIT2: Added 2 columns for CP for 2 battles and CP for 1 battle.
Posted Apr 27, 2018, 3:51 PM UTC · edited