Preservation Chance
This page is up to date (v1.1.1). |
Preservation Chance is a modifier which allows resources to be preserved when creating items, allowing for the creation of items at no cost to the player. When resource preservation triggers, the player will receive a notification stating "You managed to preserve your resources".
The chance to preserve resources only applies when creating items within a skill, it does not affect the consumption of potion doses, Summoning tablets, or prayer points. Rune Preservation and Ammo Preservation are also separate modifiers, which allow for the preservation of runes and Ranged ammunition respectively.
The preservation chance for all skills is capped at 80%, unless a modifier which increases the cap applies.
Sources
Below is a list of many things other than Mastery bonuses and Summoning synergies which provide a chance to preserve resources. Another notable mention is that the Crown of Rhaelyx gains 15% preservation chance (for a total of 25%) when the player has at least one Charge Stone of Rhaelyx within their Bank.
Source | Type | Preservation Bonuses | Other Modifiers |
---|---|---|---|
Pipe Balance | Agility Obstacle 3 | +3% Chance to Preserve Resources in Skills | +3% chance to do zero damage to Ores and Rune Essence +10 Mining Node HP |
Coal Stones | Agility Obstacle 4 | +3% Chance to Preserve Resources in Skills | -4% Global Skill XP +10% Food Healing Value +20% GP From Thieving |
Mud Crawl | Agility Obstacle 4 | +3% Chance to Preserve Resources in Herblore | -10% Farming Yield +2% Herblore Mastery XP +2% Herblore Skill XP |
Rock Climb | Agility Obstacle 5 | -10% Chance to Preserve Resources in Skills | +5% Chance to Double Items in Fishing +5% Chance to Double Items in Woodcutting +5% Chance to Double Items in Mining +5% Chance to Double Items in Thieving |
Tree Climb | Agility Obstacle 5 | -10% Chance to Preserve Resources in Skills | -10% Ammo Preservation -10% Rune Preservation +3% Global Mastery XP +4% Global Skill XP |
Tree Hop | Agility Obstacle 6 | +5% Chance to Preserve Resources in Skills | +5% Ammo Preservation +5% Rune Preservation |
Boulder Trap | Agility Obstacle 7 | -20% Chance to Preserve Resources in Skills | |
Runic Trail | Agility Obstacle 8 | -16% Chance to Preserve Resources in Herblore +5% Chance to Preserve Resources in Summoning |
+15% Chance to preserve Summoning Charges +3 Base Quantity for Summoning Tablet Creation |
Sweltering Pools | Agility Obstacle 8 | -20% Chance to Preserve Resources in Skills | -3% Cooking Interval +10% Auto Eat Efficiency +10% Food Healing Value +3% Cooking Mastery XP |
Ice Jump | Agility Obstacle 9 | +10% Chance to Preserve Resources in Skills | +5% Chance to Double Items Globally +20 Maximum Hitpoints +5% Food Healing Value +10 Mining Node HP |
Lava Waterfall Dodge | Agility Obstacle 10 | +10% Chance to Preserve Resources in Skills | +5% Ammo Preservation +10% Chance To Preserve Prayer Points +10% Rune Preservation |
Pit Maze | Agility Obstacle 11 | -20% Chance to Preserve Resources in Skills | +2% chance to receive a Quality Superior Gem while Mining Gem Veins or Meteorite Ore +3% Global Mastery XP +15 Mining Node HP |
Cave Waters | Agility Obstacle 12 | -10% Chance to Preserve Resources in Herblore | -8% Global Mastery XP +30% Chance To Preserve Potion Charge |
Monkey Trail | Agility Obstacle 12 | -10% Chance to Preserve Resources in Skills | -5% Cooking Interval -6% Agility Skill XP +15% Farming Yield +10% Food Healing Value |
Cave Trap | Agility Obstacle 13 | -10% Chance to Preserve Resources in Skills | -50 Maximum Hitpoints +5% Chance To Preserve Potion Charge +5% Chance to preserve Summoning Charges |
Lava Trail | Agility Obstacle 15 | +15% Chance to Preserve Resources in Skills | -8% Global Mastery XP |
Mountain Trail | Agility Obstacle 15 | -20% Chance to Preserve Resources in Skills | -0.2s Smithing Interval -0.2s Fletching Interval -0.2s Crafting Interval +30% Chance to gain +1 additional resource in Smithing. Cannot be doubled +30% Chance to gain +1 additional resource in Fletching. Cannot be doubled +30% Chance to gain +1 additional resource in Crafting. Cannot be doubled +3% chance to receive a Quality Superior Gem while Mining Gem Veins or Meteorite Ore |
Pillar of Skilling | Agility Pillar | +3% Chance to Preserve Resources in Skills | +3% Chance to Double Items Globally +10% Farming Yield +2% Global Mastery XP |
Cape of Completion | Item (Cape) | +20% Chance to Preserve Resources in Summoning | Bypass Slayer Area item requirements -20% Agility Obstacle Build Costs -50% Prayer Point Cost for Prayers -0.5s Thieving Interval -0.5s Crafting Interval -15% Woodcutting Interval -15% Cooking Interval -50% Coal Costs for Smithing -15% Township Building Cost x2 Items received from Fishing x2 Items received from Fletching x2 Items received from Herblore +5 Additional Runes of the same type in Runecrafting +50% Ammo Preservation +1 to base drop quantity of Stardust and Golden Stardust from Astrology +1 Coal Ore per Ore Mined. (Item doubling does not apply) +100% chance to receive Ash per burn in Firemaking +2% Global Perfect Cook chance. +100% chance to successfully Cook an item. +15% Chance to Double Items in Runecrafting +5% Damage To Slayer Tasks +25% Farming Yield +100% chance to receive coal when burning logs in Firemaking +10% GP From Agility +100% GP From Thieving +5% Global Skill XP +10 Flat HP Regen +25% Mastery Pool XP Cap Rune providing items provide 2x as many runes +25% Flat Slayer Area Effect Negation +10% Chance to preserve Summoning Charges +10 Base Quantity for Summoning Tablet Creation +150 Stealth while Thieving |
Maximum Skillcape | Item (Cape) | +20% Chance to Preserve Resources in Summoning | Bypass Slayer Area item requirements -20% Agility Obstacle Build Costs -50% Prayer Point Cost for Prayers -0.5s Thieving Interval -0.5s Crafting Interval -15% Woodcutting Interval -15% Cooking Interval -50% Coal Costs for Smithing x2 Items received from Fishing x2 Items received from Fletching x2 Items received from Herblore +5 Additional Runes of the same type in Runecrafting +50% Ammo Preservation +1 to base drop quantity of Stardust and Golden Stardust from Astrology +1 Coal Ore per Ore Mined. (Item doubling does not apply) +100% chance to receive Ash per burn in Firemaking +2% Global Perfect Cook chance. +100% chance to successfully Cook an item. +15% Chance to Double Items in Runecrafting +5% Damage To Slayer Tasks +25% Farming Yield +100% chance to receive coal when burning logs in Firemaking +10% GP From Agility +100% GP From Thieving +5% Global Skill XP +10 Flat HP Regen Rune providing items provide 2x as many runes +25% Flat Slayer Area Effect Negation +10% Chance to preserve Summoning Charges +10 Base Quantity for Summoning Tablet Creation +150 Stealth while Thieving |
Summoning Skillcape | Item (Cape) | +20% Chance to Preserve Resources in Summoning | +10% Chance to preserve Summoning Charges +10 Base Quantity for Summoning Tablet Creation |
Superior Cape of Completion | Item (Cape) | +25% Chance to Preserve Resources in Summoning | Bypass All Slayer Area item requirements -30% Agility Obstacle Build Costs -20% Agility Pillar build costs -75% Prayer Point Cost for Prayers -0.8s Thieving Interval -0.8s Crafting Interval -20% Woodcutting Interval -25% Cooking Interval -10% Summoning Interval -10% Astrology Interval -75% Coal Costs for Smithing -20% Township Building Cost x2 Items received from Fishing x2 Items received from Fletching x2 Items received from Herblore +8 Additional Runes of the same type in Runecrafting +75% Ammo Preservation +2 to base drop quantity of Stardust and Golden Stardust from Astrology +1 Bolts produced per action in Fletching +2 Coal Ore per Ore Mined. (Item doubling does not apply) +50% Chance to gain +1 additional bar in Smithing (Cannot be doubled) +100% Chance to gain +1 additional resource in Fishing. Cannot be doubled +100% Chance to gain +1 additional resource in Fletching. Cannot be doubled +15% Chance to gain +1 additional resource in Crafting. Cannot be doubled +100% Chance to gain +1 additional resource in Herblore. Cannot be doubled +20% chance for double harvest +100% chance to receive Ash per burn in Firemaking +100% chance to receive Charcoal per burn in Firemaking +4% Global Perfect Cook chance. +100% chance to successfully Cook an item. +20% chance to avoid the stun interval and stun damage in Thieving when pickpocket attempt fails +25% Chance to Double Items in Runecrafting +1% chance to find a Lost Chest while Fishing (This is separate to the Special Fishing Chance) +5% chance to Preserve Food when eaten +5% Chance To Preserve Potion Charge +5% Chance To Preserve Prayer Points +8% Damage To Slayer Tasks +40% Farming Yield +100% chance to receive coal when burning logs in Firemaking +20% GP From Agility +150% GP From Thieving +5% Chance to find gem veins when Mining +8% Global Skill XP +15 Flat HP Regen +5% Lifesteal +5% Magic Damage Bonus from Equipment +5% Melee Strength Bonus from Equipment +1 minimum Bird Nest's recieved from Woodcutting +5% of Maximum Hit added to Minimum Hit +5% Ranged Strength Bonus from Equipment +5% Reflect Damage +10% Rune Preservation Rune providing items provide 4x as many runes +35% Flat Slayer Area Effect Negation +10% Slayer Coins +15% Chance to preserve Summoning Charges +10 Base Quantity for Summoning Tablet Creation +10% Summoning Max Hit +270 Stealth while Thieving |
Superior Max Skillcape | Item (Cape) | +25% Chance to Preserve Resources in Summoning | Bypass All Slayer Area item requirements -30% Agility Obstacle Build Costs -20% Agility Pillar build costs -75% Prayer Point Cost for Prayers -0.8s Thieving Interval -0.8s Crafting Interval -20% Woodcutting Interval -25% Cooking Interval -10% Summoning Interval -10% Astrology Interval -75% Coal Costs for Smithing -20% Township Building Cost x2 Items received from Fishing x2 Items received from Fletching x2 Items received from Herblore +8 Additional Runes of the same type in Runecrafting +75% Ammo Preservation +2 to base drop quantity of Stardust and Golden Stardust from Astrology +1 Bolts produced per action in Fletching +2 Coal Ore per Ore Mined. (Item doubling does not apply) +50% Chance to gain +1 additional bar in Smithing (Cannot be doubled) +100% Chance to gain +1 additional resource in Fishing. Cannot be doubled +100% Chance to gain +1 additional resource in Fletching. Cannot be doubled +15% Chance to gain +1 additional resource in Crafting. Cannot be doubled +100% Chance to gain +1 additional resource in Herblore. Cannot be doubled +20% chance for double harvest +100% chance to receive Ash per burn in Firemaking +100% chance to receive Charcoal per burn in Firemaking +4% Global Perfect Cook chance. +100% chance to successfully Cook an item. +20% chance to avoid the stun interval and stun damage in Thieving when pickpocket attempt fails +25% Chance to Double Items in Runecrafting +1% chance to find a Lost Chest while Fishing (This is separate to the Special Fishing Chance) +5% chance to Preserve Food when eaten +5% Chance To Preserve Potion Charge +5% Chance To Preserve Prayer Points +8% Damage To Slayer Tasks +40% Farming Yield +100% chance to receive coal when burning logs in Firemaking +20% GP From Agility +150% GP From Thieving +5% Chance to find gem veins when Mining +8% Global Skill XP +15 Flat HP Regen +5% Lifesteal +5% Magic Damage Bonus from Equipment +5% Melee Strength Bonus from Equipment +1 minimum Bird Nest's recieved from Woodcutting +5% of Maximum Hit added to Minimum Hit +5% Ranged Strength Bonus from Equipment +5% Reflect Damage +10% Rune Preservation Rune providing items provide 4x as many runes +35% Flat Slayer Area Effect Negation +10% Slayer Coins +15% Chance to preserve Summoning Charges +10 Base Quantity for Summoning Tablet Creation +10% Summoning Max Hit +270 Stealth while Thieving |
Superior Summoning Skillcape | Item (Cape) | +25% Chance to Preserve Resources in Summoning | -10% Summoning Interval +15% Chance to preserve Summoning Charges +10 Base Quantity for Summoning Tablet Creation +10% Summoning Max Hit |
Chefs Bag | Item (Consumable) | +10% Chance to Preserve Resources in Cooking | +20% Chance to Double Items in Cooking |
Summoning Scrolls | Item (Consumable) | +10% Chance to Preserve Resources in Summoning | +10% Chance to preserve Summoning Charges +15 Base Quantity for Summoning Tablet Creation |
Clown Hat | Item (Helmet) | -10% Chance to Preserve Resources in Skills | -5% Global Skill XP +10% Global Mastery XP |
Crown of Rhaelyx | Item (Helmet) | +10% Chance to Preserve Resources in Skills | |
Ring of Wealth | Item (Ring, Passive) | -3% Chance to Preserve Resources in Skills | +7% Chance to Double Items Globally |
Bear | Item (Summon1, Summon2) | +5% Chance to Preserve Resources in Herblore | |
Pig | Item (Summon1, Summon2) | +10% Chance to Preserve Resources in Cooking | |
Salamander | Item (Summon1, Summon2) | +5% Chance to Preserve Resources in Smithing | |
Gunter | Pet | +10% Chance to Preserve Resources in Runecrafting | |
Puff, the Baby Dragon | Pet | +10% Chance to Preserve Resources in Smithing |
Chance Cap
The preservation chance for all skills is capped at 80%. For a few skills, there exists bonuses which can increase this cap:
- The Bear & Beaver synergy can increase the cap for Fletching by 5%
- The Bear & Fox synergy can increase the cap for Herblore by 5%
Calculating Gains
Let's say you have 120 bars, 80% resource preservation, and 0% doubling chance. If a dagger takes one bar to create, how many daggers would you create on average out of 120 bars?
The answer is [math]\displaystyle{ \frac{120}{1 - 80/100} = \frac{120}{0.2} = 600. }[/math]
The main idea behind resource preservation is that you can reuse the preserved resources to make more items, but those resources when used will themselves be preserved also.
Using the same example with 120 bars, you take 120 actions producing 120 daggers, but with 80% preservation you are left with [math]\displaystyle{ 120 \times 0.8 = 96 }[/math] bars.
Now you can use those 96 bars to do the same thing, and you will be left with [math]\displaystyle{ 96 \times 0.8 = 76.8 }[/math] bars on average.
Repeat that to infinity, and you will get the average number of daggers that you will produce from 120 bars.
But how do we calculate this number?
So the number of daggers produced is [math]\displaystyle{ 120 + (120 \times 0.8) + (120 \times 0.8 \times 0.8) +\cdots + (120 \times 0.8^n) }[/math] where [math]\displaystyle{ n }[/math] goes to infinity.
If we generalize and represent the number of starting resources ([math]\displaystyle{ 120 }[/math]) with [math]\displaystyle{ a }[/math] and the probability ([math]\displaystyle{ 0.8 }[/math]) with [math]\displaystyle{ r }[/math], the number of actions performed with [math]\displaystyle{ a }[/math] action's worth of starting resources and a resource preservation of [math]\displaystyle{ r }[/math] (where [math]\displaystyle{ 0 \le r \lt 1 }[/math]) can be expressed as follows:
[math]\displaystyle{ a + (a \times r) + (a \times r \times r) + \cdots + (a \times r^n) = \sum\limits^{\infty}_{n=0} ar^n }[/math]
This expression is an infinite geometric series, which can simply be expressed as [math]\displaystyle{ \displaystyle \lim_{n \to \infty}\tfrac{a(1 - r^n)}{1 - r} = \frac{a}{1 - r} }[/math].
So, coming back to our example where [math]\displaystyle{ a = 120 }[/math] and [math]\displaystyle{ r = 0.8 }[/math], we get [math]\displaystyle{ \frac{120}{1 - 0.8} = 600 }[/math].
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