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{{redirect|IV|the fourth generation of Pokémon games|Generation IV}}
{{redirect|IV|the fourth generation of Pokémon games|Generation IV}}
{{move|Individual strengths}}
{{Incomplete|2=Missing Chinese and Korean name and when IVs are determined for eggs and roaming Pokemon}}
{{Incomplete|2=Missing Chinese and Korean name and when IVs are determined for eggs and roaming Pokemon}}
'''Individual strengths''' (Japanese: '''{{j|{{tt|生まれつきの強さ|うまれつきのつよさ}}}}''' ''innate strengths''), abbreviated '''IVs''' from its more commonly known fan term, '''Individual values''' (Japanese: '''{{j|{{tt|個体値|こたいち}}}}''' ''individual values''), are the Pokémon equivalent of {{wp|genes}}. They are instrumental in determining the [[stats]] of a Pokémon, being responsible for the large variation in stats among untrained Pokémon of the same species. In the context of [[Generation I|Generations I]] and {{gen|II}}, which have a different IV system, IVs are also referred to as '''determinant values''' (DVs).
'''Individual strengths''' (Japanese: '''{{j|{{tt|生まれつきの強さ|うまれつきのつよさ}}}}''' ''innate strengths''), commonly referred to by fans as '''individual values''' (Japanese: '''{{j|{{tt|個体値|こたいち}}}}''' ''individual values'') and abbreviated as '''IVs''', are the Pokémon equivalent of {{wp|genes}}. They are instrumental in determining the [[stats]] of a Pokémon, being responsible for the large variation in stats among untrained Pokémon of the same species. In the context of [[Generation I|Generations I]] and {{gen|II}}, which have a different IV system, IVs are also referred to as '''determinant values''' (DVs).


Each of the six stats has an IV associated with it, with that IV coming into calculation alongside the Pokémon's [[base stats]], [[Nature]], and {{EV}}s to determine the actual stat number. A Pokémon's IVs are fixed when it is [[Pseudorandom number generation in Pokémon|generated by the game]] (i.e. when it is [[wild Pokémon|encountered in the wild]] or [[Gift Pokémon|given to the player by an NPC]]), and cannot be changed (although [[Hyper Training]] causes stats to become values corresponding the maximum IVs).
Each of the six stats has an IV associated with it, with that IV coming into calculation alongside the Pokémon's [[base stats]], [[Nature]], and {{EV}}s to determine the actual stat number. A Pokémon's IVs are fixed when it is [[Pseudorandom number generation|generated by the game]] (i.e. when it is [[wild Pokémon|encountered in the wild]] or [[Gift Pokémon|given to the player by an NPC]]), and cannot be changed (although [[Hyper Training]] causes stats to become values corresponding the maximum IVs).


In the games, the term '''potential''' is often used to allude to IVs, such as by the [[stats judge]]. [[Shigeru Ohmori]] has stated that the reason {{EV}}s and IVs are hidden is because he prefers to think of {{OBP|Pokémon|species}} as "real, living creatures".<ref>[http://www.wired.co.uk/news/archive/2014-12/11/pokemon-interview Pokemon's Junichi Masuda: 'We weren’t explicitly targeting children' (Wired UK)]</ref>
In the games, the term '''potential''' is often used to allude to IVs, such as by the [[stats judge]]. [[Shigeru Ohmori]] has stated that the reason {{EV}}s and IVs are hidden is because he prefers to think of {{OBP|Pokémon|species}} as "real, living creatures".<ref>[http://www.wired.co.uk/news/archive/2014-12/11/pokemon-interview Pokemon's Junichi Masuda: 'We weren’t explicitly targeting children' (Wired UK)]</ref>
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In Generation II, several things aside from stats are also based on stats IVs. From [[Generation III]] onward, all of these except the [[type]] and [[power]] of {{m|Hidden Power}} are determined by other variables, such as the Pokémon's [[personality value]].
In Generation II, several things aside from stats are also based on stats IVs. From [[Generation III]] onward, all of these except the [[type]] and [[power]] of {{m|Hidden Power}} are determined by other variables, such as the Pokémon's [[personality value]].
In Generation I, due to correlations between [[Pseudorandom number generation|pseudorandom numbers]], Pokémon encountered in those games in [[tall grass]], in [[cave tile|caves]], or by {{m|surf}}ing on [[water tile|water]] have a limited pool of possible sets of IVs, with the exact pool of possible sets of IVs depending on the encounter rate of the location they were encountered. Most significantly, any Pokémon encountered in any of these ways cannot be {{Shiny}}. Conversely, [[Fishing]] encounters, [[gift Pokémon]] (including from [[Pokémon Stadium]]), stationary Pokémon (such as {{p|Snorlax}} and {{p|Mewtwo}}), and [[in-game trade]]s can have any set of IVs.<ref name="pokemonspeedruns">[http://wiki.pokemonspeedruns.com/index.php?title=Pokémon_Red/Blue_Wild_DVs Pokémon Red/Blue Wild DVs]</ref>


===Usage===
===Usage===
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In Generation I and II, a Pokémon's stats are determined according to the following formulas.
In Generation I and II, a Pokémon's stats are determined according to the following formulas.


<math>HP = \Biggl\lfloor {\Biggl( (Base + DV) \times 2 + \biggl\lfloor \tfrac{\bigl\lceil \sqrt{STATEXP} \bigr\rceil}{4} \biggr\rfloor \Biggr) \times Level \over 100} \Biggr\rfloor + Level + 10</math>
<math>HP = \left\lfloor {\left( (Base + DV) \times 2 + \left\lfloor \tfrac{\left\lceil \sqrt{STATEXP} \right\rceil}{4} \right\rfloor \right) \times Level \over 100} \right\rfloor + Level + 10</math>


<math>OtherStat = \Biggl\lfloor {\Biggl( (Base + DV) \times 2 + \biggl\lfloor \tfrac{\bigl\lceil \sqrt{STATEXP} \bigr\rceil}{4} \biggr\rfloor \Biggr) \times Level \over 100} \Biggr\rfloor + 5</math>
<math>OtherStat = \left\lfloor {\left( (Base + DV) \times 2 + \left\lfloor \tfrac{\left\lceil \sqrt{STATEXP} \right\rceil}{4} \right\rfloor \right) \times Level \over 100} \right\rfloor + 5</math>


'''Example'''<br />
;Example
For two {{p|Mewtwo}} caught in [[Cerulean Cave]]:
For two {{p|Mewtwo}} caught in [[Cerulean Cave]]:


{| style="{{roundy}}; border: 2px solid #{{red color}}; background: #{{green color}}; margin-right: 5px; margin-bottom: 5px; text-align:center"
{| style="{{roundy}}; border: 2px solid #{{red color}}; background: #{{green color}}; margin-right: 5px; margin-bottom: 5px; text-align:center"
! style="background:#{{green color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{green color}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{hp color light}}" | HP
! style="background:#{{hp color}}" | HP
! style="background:#{{attack color light}}" | Attack
! style="background:#{{attack color}}" | Attack
! style="background:#{{defense color light}}" | Defense
! style="background:#{{defense color}}" | Defense
! style="background:#{{speed color light}}" | Speed
! style="background:#{{speed color}}" | Speed
! style="background:#AFD7CF; {{roundytr|5px}}" | Special
! style="background:#2F97E8; {{roundytr|5px}}" | Special
|- style="background:#FFFFFF"
|- style="background:#FFFFFF"
! rowspan="2" style="background:#{{psychic color light}}" | Mewtwo A
! rowspan="2" style="background:#{{psychic color light}}" | Mewtwo A
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In Generation II, a Pokémon's [[gender]] is determined based solely on its physical {{stat|Attack}} IV when compared to a [[List of Pokémon by gender ratio|gender ratio]]. A Pokémon is female if its physical Attack IV is less than or equal to its species' gender ratio, otherwise it is male. For species that are exclusively one gender or have no gender, the calculation based on the Attack IV is ignored.
In Generation II, a Pokémon's [[gender]] is determined based solely on its physical {{stat|Attack}} IV when compared to a [[List of Pokémon by gender ratio|gender ratio]]. A Pokémon is female if its physical Attack IV is less than or equal to its species' gender ratio, otherwise it is male. For species that are exclusively one gender or have no gender, the calculation based on the Attack IV is ignored.


Due to this calculation, it is impossible to obtain a female Pokémon with high physical Attack, unless the Pokémon is a member of an all-female species like {{p|Jynx}} or {{p|Chansey}}. Starter Pokémon and others with a gender ratio of seven males to one female suffer the most, with the maximum physical Attack IV for a female Pokémon of those species being 1.
Due to this calculation, it is impossible to obtain a female Pokémon with high physical Attack, unless the Pokémon is a member of an all-female species like {{p|Jynx}} or {{p|Chansey}}. First partner Pokémon and others with a gender ratio of seven males to one female are the most affected, with the maximum physical Attack IV for a female Pokémon of those species being 1.


{| class="roundy" style="text-align:center; background: #{{silver color}}; border: 3px solid #{{gold color}}; margin-bottom: 10px"
{| class="roundy" style="text-align:center; background: #{{silver color}}; border: 3px solid #{{gold color}}; margin-bottom: 10px"
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|}
|}


'''Example'''<br />
;Example
For two {{p|Cyndaquil}} obtained from [[Professor Elm]]:
For two {{p|Cyndaquil}} obtained from [[Professor Elm]]:


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! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{silver color light}}" | Gender
! style="background:#{{silver color light}}" | Gender
! style="background:#{{hp color light}}" | HP
! style="background:#{{hp color}}" | HP
! style="background:#{{attack color light}}" | Attack
! style="background:#{{attack color}}" | Attack
! style="background:#{{defense color light}}" | Defense
! style="background:#{{defense color}}" | Defense
! style="background:#{{speed color light}}" | Speed
! style="background:#{{speed color}}" | Speed
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special defense color}}; {{roundytr|5px}}" | Sp. Def
! style="background:#{{special defense color}}; {{roundytr|5px}}" | Sp. Def
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Normally, when the player encounters a Pokémon in the wild or receives a Pokémon as a gift in Generation II, all possible sets of IVs have an equal probability. Since there are 8 possible sets of IVs for Shiny Pokémon of the 65,536 distinct sets of IVs, there is a 1/8192 chance of a Pokémon being Shiny when its IVs are selected at random. This is the same probability of a wild Pokémon being Shiny in Generation III, IV, and V.
Normally, when the player encounters a Pokémon in the wild or receives a Pokémon as a gift in Generation II, all possible sets of IVs have an equal probability. Since there are 8 possible sets of IVs for Shiny Pokémon of the 65,536 distinct sets of IVs, there is a 1/8192 chance of a Pokémon being Shiny when its IVs are selected at random. This is the same probability of a wild Pokémon being Shiny in Generation III, IV, and V.


Due to correlations between [[Pseudorandom number generation in Pokémon|pseudorandom numbers]] in the Generation I games, Pokémon encountered in those games in [[tall grass]], in [[cave tile|caves]], or by {{m|surf}}ing on [[water tile|water]] cannot have a set of IVs that would allow them to be Shiny in Generation II. [[Fishing]] encounters, [[gift Pokémon]] (including from {{eng|Pokémon Stadium}}), stationary Pokémon (such as {{p|Snorlax}} and {{p|Mewtwo}}), and [[in-game trade]]s can have any set of IVs, so they always have the same 1/8192 chance of having a Shiny IV combination.<ref>[http://wiki.pokemonspeedruns.com/index.php?title=Pokémon_Red/Blue_Wild_DVs Pokémon Red/Blue Wild DVs]</ref>
Due to correlations between [[Pseudorandom number generation|pseudorandom numbers]] in the Generation I games, Pokémon encountered in those games in [[tall grass]], in [[cave tile|caves]], or by {{m|surf}}ing on [[water tile|water]] cannot have a set of IVs that would allow them to be Shiny in Generation II. [[Fishing]] encounters, [[gift Pokémon]] (including from [[Pokémon Stadium]]), stationary Pokémon (such as {{p|Snorlax}} and {{p|Mewtwo}}), and [[in-game trade]]s can have any set of IVs, so they always have the same 1/8192 chance of having a Shiny IV combination.<ref name="pokemonspeedruns"/>


The [[Red Gyarados]] at the [[Lake of Rage]], which is guaranteed to be Shiny, has predetermined IVs, with an Attack IV of 14 and all other stats being 10, except HP which is 0. When {{pkmn|breeding}} Pokémon, because IVs are inherited from the Pokémon's parents, the probability of the bred Pokémon being Shiny is highly dependent on the parents' IVs.
The [[Red Gyarados]] at the [[Lake of Rage]], which is guaranteed to be Shiny, has predetermined IVs, with an Attack IV of 14 and all other stats being 10, except HP which is 0. When {{pkmn|breeding}} Pokémon, because IVs are inherited from the Pokémon's parents, the probability of the bred Pokémon being Shiny is highly dependent on the parents' IVs.
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! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{silver color light}}" | Gender
! style="background:#{{silver color light}}" | Gender
! style="background:#{{hp color light}}" | HP
! style="background:#{{hp color}}" | HP
! style="background:#{{attack color light}}" | Attack
! style="background:#{{attack color}}" | Attack
! style="background:#{{defense color light}}" | Defense
! style="background:#{{defense color}}" | Defense
! style="background:#{{speed color light}}" | Speed
! style="background:#{{speed color}}" | Speed
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special defense color}}; {{roundytr|5px}}" | Sp. Def
! style="background:#{{special defense color}}; {{roundytr|5px}}" | Sp. Def
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In Generation III, Unown's letter is determined by the Pokémon's [[personality value]]. From Generation IV onward, it is determined by a separate form identifier. Generation III also introduced Unown '!' or '?'.
In Generation III, Unown's letter is determined by the Pokémon's [[personality value]]. From Generation IV onward, it is determined by a separate form identifier. Generation III also introduced Unown '!' or '?'.


'''Example'''<br />
;Example
For two Unown caught in the [[Ruins of Alph]]:
For two Unown caught in the [[Ruins of Alph]]:


{| style="{{roundy}}; border: 2px solid #{{gold color}}; background: #{{silver color}}; margin-right: 5px; margin-bottom: 5px; text-align:center"
{| style="{{roundy}}; border: 2px solid #{{gold color}}; background: #{{silver color}}; margin-right: 5px; margin-bottom: 5px; text-align:center"
! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{hp color light}}" | HP
! style="background:#{{hp color}}" | HP
! style="background:#{{attack color light}}" | Attack
! style="background:#{{attack color}}" | Attack
! style="background:#{{defense color light}}" | Defense
! style="background:#{{defense color}}" | Defense
! style="background:#{{speed color light}}" | Speed
! style="background:#{{speed color}}" | Speed
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special defense color}}" | Sp. Def
! style="background:#{{special defense color}}" | Sp. Def
Line 250: Line 253:
| 13
| 13
| 11
| 11
! rowspan="2" | 67<br>(<span style="font-family:Monospace"><span style="background:#{{attack color light}}">01</span><span style="background:#{{defense color light}}">00</span><span style="background:#{{speed color light}}">00</span><span style="background:#{{special attack color}}">11</span></span>)
! rowspan="2" | 67<br>(<span style="font-family:Monospace"><span style="background:#{{attack color light}}">01</span><span style="background:#{{defense color light}}">00</span><span style="background:#{{speed color light}}">00</span><span style="background:#78BBF0">11</span></span>)
! rowspan="2" | 6
! rowspan="2" | 6
! rowspan="2" style="background:#{{psychic color light}}" | G
! rowspan="2" style="background:#{{psychic color light}}" | G
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| 9<br>(<span style="font-family:Monospace">1<span style="background:#{{defense color light}}">00</span>1</span>)
| 9<br>(<span style="font-family:Monospace">1<span style="background:#{{defense color light}}">00</span>1</span>)
| 1<br>(<span style="font-family:Monospace">0<span style="background:#{{speed color light}}">00</span>1</span>)
| 1<br>(<span style="font-family:Monospace">0<span style="background:#{{speed color light}}">00</span>1</span>)
| colspan="2" | 14<br>(<span style="font-family:Monospace">1<span style="background:#{{special attack color}}">11</span>0</span>)
| colspan="2" | 14<br>(<span style="font-family:Monospace">1<span style="background:#78BBF0">11</span>0</span>)
|- style="background:#FFFFFF"
|- style="background:#FFFFFF"
! rowspan="2" style="background:#{{psychic color light}}; {{roundybl|5px}}" | Unown 2
! rowspan="2" style="background:#{{psychic color light}}; {{roundybl|5px}}" | Unown 2
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| 12
| 12
| 10
| 10
! rowspan="2" | 182<br>(<span style="font-family:Monospace"><span style="background:#{{attack color light}}">10</span><span style="background:#{{defense color light}}">11</span><span style="background:#{{speed color light}}">01</span><span style="background:#{{special attack color}}">10</span></span>)
! rowspan="2" | 182<br>(<span style="font-family:Monospace"><span style="background:#{{attack color light}}">10</span><span style="background:#{{defense color light}}">11</span><span style="background:#{{speed color light}}">01</span><span style="background:#78BBF0">10</span></span>)
! rowspan="2" | 18
! rowspan="2" | 18
! rowspan="2" style="background:#{{psychic color light}}; {{roundybr|5px}}" | S
! rowspan="2" style="background:#{{psychic color light}}; {{roundybr|5px}}" | S
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| 15<br>(<span style="font-family:Monospace">1<span style="background:#{{defense color light}}">11</span>1</span>)
| 15<br>(<span style="font-family:Monospace">1<span style="background:#{{defense color light}}">11</span>1</span>)
| 10<br>(<span style="font-family:Monospace">1<span style="background:#{{speed color light}}">01</span>0</span>)
| 10<br>(<span style="font-family:Monospace">1<span style="background:#{{speed color light}}">01</span>0</span>)
| colspan="2" | 5<br>(<span style="font-family:Monospace">0<span style="background:#{{special attack color}}">10</span>1</span>)
| colspan="2" | 5<br>(<span style="font-family:Monospace">0<span style="background:#78BBF0">10</span>1</span>)
|}<br clear="all">
|}<br clear="all">
====Magikarp's size====
{{main|Size and weight variation#Generation II|Size and weight variation → Generation II}}
At the [[Lake of Rage]], there is a [[Fishing Brothers#Lake of Rage Fishing Guru|Fishing Guru]] who requests to see large Magikarp after the player defeats [[Team Rocket]] at [[Team Rocket HQ|their hideout]] in [[Mahogany Town]]. If the Fishing Guru is shown a Magikarp bigger than the previous record, he gives the player a prize.
The size of Magikarp is calculated from its IVs and its [[Original Trainer]]'s [[Trainer ID number]]. Sizes were intended to follow a {{wp|normal distribution}}, but due to various bugs and oversights in the code, the sizes only roughly follow it.
In some circumstances, when encountering a wild Magikarp, the game can regenerate its IVs once in order to try to make it smaller or larger. In the non-English versions, Magikarp initially bigger than 160&nbsp;cm may have their IVs regenerated, in an effort to make large Magikarp more rare; in the English versions, this fails to occur at all due to a unit conversion error. Magikarp caught in the Lake of Rage were intended to be larger on average than Magikarp caught elsewhere, by regenerating the IVs of wild Magikarp that are initially 4'0" (122.0 cm) or smaller in English games, or 102.4 cm (3'4") or smaller in non-English games, 60% of the time; due to a programming error, all wild Magikarp that meet the threshold have their IVs regenerated this way except for those in the Lake of Rage and [[Route]]s {{rtn|20|Kanto}}, {{rtn|43|Johto}}, and {{rtn|44|Johto}}.
====Smeargle's patterns' colors====
====Smeargle's patterns' colors====
In [[Pokémon Stadium 2]], the patterns on {{p|Smeargle}}'s back and tail can be red, green or blue depending on its IVs.<ref>https://docs.google.com/document/d/1u4PDIfP9VerQSQibzHPzQh5oRNBUhmEi10F4kZ2uuho/edit?usp=sharing</ref>
In [[Pokémon Stadium 2]], the patterns on {{p|Smeargle}}'s back and tail can be red, green or blue depending on its IVs.<ref>https://docs.google.com/document/d/1u4PDIfP9VerQSQibzHPzQh5oRNBUhmEi10F4kZ2uuho/edit?usp=sharing</ref>
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The colors are affected by Shininess; due to the fact that both the pattern colors and Shininess is determined by IVs, a Shiny Smeargle will only have pattern ID of 2, 3, 4, 6, 7 or 8.
The colors are affected by Shininess; due to the fact that both the pattern colors and Shininess is determined by IVs, a Shiny Smeargle will only have pattern ID of 2, 3, 4, 6, 7 or 8.


'''Example'''<br />
;Example
For two Smeargle caught in the [[Ruins of Alph]]:
For two Smeargle caught in the [[Ruins of Alph]]:


{| style="{{roundy}}; border: 2px solid #{{gold color}}; background: #{{silver color}}; margin-right: 5px; margin-bottom: 5px; text-align:center"
{| style="{{roundy}}; border: 2px solid #{{gold color}}; background: #{{silver color}}; margin-right: 5px; margin-bottom: 5px; text-align:center"
! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{silver color light}}; {{roundytl|5px}}" | Pokémon
! style="background:#{{hp color light}}" | HP
! style="background:#{{hp color}}" | HP
! style="background:#{{attack color light}}" | Attack
! style="background:#{{attack color}}" | Attack
! style="background:#{{defense color light}}" | Defense
! style="background:#{{defense color}}" | Defense
! style="background:#{{speed color light}}" | Speed
! style="background:#{{speed color}}" | Speed
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special defense color}}" | Sp. Def
! style="background:#{{special defense color}}" | Sp. Def
Line 307: Line 319:
| 25
| 25
| 41
| 41
! rowspan="2" | 11900<br>(<span style="background:#{{special attack color}}">2</span><span style="font-family:Monospace"><span style="background:#{{defense color light}}">E</span><span style="background:#{{speed color light}}">7</span><span style="background:#{{attack color light}}">C</span></span>)
! rowspan="2" | 11900<br>(<span style="font-family:Monospace"><span style="background:#78BBF0">2</span><span style="background:#{{defense color light}}">E</span><span style="background:#{{speed color light}}">7</span><span style="background:#{{attack color light}}">C</span></span>)
! rowspan="2" | 2
! rowspan="2" | 2
! rowspan="2" style="background:#{{blue color light}}" | Blue
! rowspan="2" style="background:#{{blue color light}}" | Blue
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| 14<br>(<span style="font-family:Monospace"><span style="background:#{{defense color light}}">E</span></span>)
| 14<br>(<span style="font-family:Monospace"><span style="background:#{{defense color light}}">E</span></span>)
| 7<br>(<span style="font-family:Monospace"><span style="background:#{{speed color light}}">7</span></span>)
| 7<br>(<span style="font-family:Monospace"><span style="background:#{{speed color light}}">7</span></span>)
| colspan="2" | 2<br>(<span style="font-family:Monospace"><span style="background:#{{special attack color}}">2</span></span>)
| colspan="2" | 2<br>(<span style="font-family:Monospace"><span style="background:#78BBF0">2</span></span>)
|- style="background:#FFFFFF"
|- style="background:#FFFFFF"
! rowspan="2" style="background:#{{normal color light}}" | Smeargle 2
! rowspan="2" style="background:#{{normal color light}}" | Smeargle 2
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| 30
| 30
| 38
| 38
! rowspan="2" | 50988<br>(<span style="background:#{{special attack color}}">C</span><span style="font-family:Monospace"><span style="background:#{{defense color light}}">7</span><span style="background:#{{speed color light}}">2</span><span style="background:#{{attack color light}}">C</span></span>)
! rowspan="2" | 50988<br>(<span style="font-family:Monospace"><span style="background:#78BBF0">C</span><span style="background:#{{defense color light}}">7</span><span style="background:#{{speed color light}}">2</span><span style="background:#{{attack color light}}">C</span></span>)
! rowspan="2" | 3
! rowspan="2" | 3
! rowspan="2" style="background:#{{red color light}}" | Red
! rowspan="2" style="background:#{{red color light}}" | Red
Line 334: Line 346:
| 7<br>(<span style="font-family:Monospace"><span style="background:#{{defense color light}}">7</span></span>)
| 7<br>(<span style="font-family:Monospace"><span style="background:#{{defense color light}}">7</span></span>)
| 2<br>(<span style="font-family:Monospace"><span style="background:#{{speed color light}}">2</span></span>)
| 2<br>(<span style="font-family:Monospace"><span style="background:#{{speed color light}}">2</span></span>)
| colspan="2" | 12<br>(<span style="font-family:Monospace"><span style="background:#{{special attack color}}">C</span></span>)
| colspan="2" | 12<br>(<span style="font-family:Monospace"><span style="background:#78BBF0">C</span></span>)
|}<br clear="all">
|}<br clear="all">


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! style="background:#{{special defense color}}" | Sp. Def
! style="background:#{{special defense color}}" | Sp. Def
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{speed color light}}" | Speed
! style="background:#{{speed color}}" | Speed
! style="background:#{{defense color light}}" | Defense
! style="background:#{{defense color}}" | Defense
! style="background:#{{attack color light}}" | Attack
! style="background:#{{attack color}}" | Attack
! style="background:#{{hp color light}}; {{roundytr|5px}}" | HP
! style="background:#{{hp color}}; {{roundytr|5px}}" | HP
|- style="background:#FFFFFF"
|- style="background:#FFFFFF"
! rowspan="2" style="background:#{{water color light}}" | Marill A
! rowspan="2" style="background:#{{water color light}}" | Marill A
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*In {{game|Emerald}}, [[Stats judge#In Generation III|elderly man]] in the house north of the {{Gdis|Battle Frontier|III}}'s [[Pokémon Center]] will evaluate the Pokémon's IVs in a roundabout way.
*In {{game|Emerald}}, [[Stats judge#In Generation III|elderly man]] in the house north of the {{Gdis|Battle Frontier|III}}'s [[Pokémon Center]] will evaluate the Pokémon's IVs in a roundabout way.
*In the [[Generation IV]] games, a man in the {{Gdis|Battle Tower|IV}} or {{gdis|Battle Frontier|IV}} will evaluate the Pokémon's IVs in a roundabout way.
*In the [[Generation IV]] games, a man in the {{si|Battle Tower}} or {{gdis|Battle Frontier|IV}} will evaluate the Pokémon's IVs in a roundabout way.
*In the [[Generation V]] games, an {{tc|Ace Trainer}} in the {{DL|Battle Subway|Gear Station}} will evaluate the Pokémon's IVs in a roundabout way, after the player enters the [[Hall of Fame]].
*In the [[Generation V]] games, an {{tc|Ace Trainer}} in the {{DL|Battle Subway|Gear Station}} will evaluate the Pokémon's IVs in a roundabout way, after the player enters the [[Hall of Fame]].
*In {{g|X and Y}}, an Ace Trainer in the [[Kiloude City]] [[Pokémon Center]] will evaluate the Pokémon's IVs in a roundabout way.
*In {{g|X and Y}}, an Ace Trainer in the [[Kiloude City]] [[Pokémon Center]] will evaluate the Pokémon's IVs in a roundabout way.
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====Characteristic====
====Characteristic====
{{main|Characteristic}}
{{main|Characteristic}}
From Generation IV onward, each Pokémon has a [[characteristic]], a small blurb that indicates which of the Pokémon's IVs is the highest in a roundabout way. Rather than explicitly stating it, one of 30 of these short sentences is chosen, depending on which of the six stats the highest IV is in and how much more than a multiple of five it is.
From Generation IV onward, each Pokémon has a [[characteristic]], a small blurb that indicates which of the Pokémon's IVs is the highest in a roundabout way. Rather than explicitly stating it, one of 30 short sentences is chosen, depending on which of the six stats the highest IV is in and how much more than a multiple of five it is.


'''Example'''<br />
'''Example'''<br />
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! style="background:#{{special defense color}}" | Sp. Def
! style="background:#{{special defense color}}" | Sp. Def
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{special attack color}}" | Sp. Atk
! style="background:#{{speed color light}}" | Speed
! style="background:#{{speed color}}" | Speed
! style="background:#{{defense color light}}" | Defense
! style="background:#{{defense color}}" | Defense
! style="background:#{{attack color light}}" | Attack
! style="background:#{{attack color}}" | Attack
! style="background:#{{hp color light}}" | HP
! style="background:#{{hp color}}" | HP
! style="background:#{{pearl color light}}; {{roundytr|5px}}" | Characteristic
! style="background:#{{pearl color light}}; {{roundytr|5px}}" | Characteristic
|- style="background:#FFFFFF"
|- style="background:#FFFFFF"
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| 15<br>(<span style="font-family:Monospace">01111</span>)
| 15<br>(<span style="font-family:Monospace">01111</span>)
| style="{{roundybr}}" | 31 (Sp. Atk) mod 5 = 1
| style="{{roundybr}}" | 31 (Sp. Atk) mod 5 = 1
|}<br clear="all">
|}
 
====Camera view====
In [[Pokémon Brilliant Diamond and Shining Pearl]], the camera view might show the {{player}} before the [[wild Pokémon]]. In that case, the wild Pokémon has two or more IVs of 31.


===Influence===
===Influence===
In {{g|X and Y}}, all Pokémon in the {{egg3|Undiscovered}} are guaranteed to have a perfect 31 in at least three of their individual values when caught in the wild or obtained as a gift (except via [[Mystery Gift]]). In {{g|Omega Ruby and Alpha Sapphire}}, this only applies to {{pkmn2|Legendary}} and [[Mythical Pokémon]]. In [[Generation VII]], this applies to Legendary Pokémon, Mythical Pokémon, and [[Ultra Beast]]s.
In {{game|HeartGold and SoulSilver|s}}, all Pokémon found in the {{jo|Safari Zone}} and during the [[Bug Catching Contest]] will have their IVs rerolled up to 4 times if none of the generated IVs are 31.


In {{g|Sun and Moon}}, [[Hyper Training]] allows the player to make a Pokémon's stats act as if the Pokémon had maximum IVs. However, this does not actually change the IVs, so its true IVs are still used for the purposes of {{m|Hidden Power}} and {{pkmn|breeding}}.
In {{g|X and Y}}, all Pokémon in the {{egg3|No Eggs Discovered}} are guaranteed to have a perfect 31 in at least three of their individual values when caught in the wild or obtained as a gift (except via [[Mystery Gift]]). In {{g|Omega Ruby and Alpha Sapphire}}, this only applies to {{pkmn2|Legendary}} and [[Mythical Pokémon]]. Starting in [[Generation VII]], this applies to Legendary Pokémon, Mythical Pokémon, and [[Ultra Beast]]s.
 
Starting in {{g|Sun and Moon}}, [[Hyper Training]] allows the player to make a Pokémon's stats act as if the Pokémon had maximum IVs. However, this does not actually change the IVs, so its true IVs are still used for the purposes of {{m|Hidden Power}} and {{pkmn|breeding}}.
 
In {{g|Legends: Arceus}}, all [[Alpha]] Pokémon are guaranteed to have a perfect 31 in at least three of their IVs.
 
In {{g|Scarlet and Violet}}, Pokémon caught in [[Tera Raid Battle]]s are guaranteed to have perfect 31 in their IVs. They have one guaranteed perfect IV in one- and two-star raids, and then one extra for each star beyond the first two. The IVs of {{p|Gouging Fire}}, {{p|Raging Bolt}}, {{p|Iron Crown}} and {{p|Iron Boulder}} are set.


====Breeding====
====Breeding====
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====Pokémon GO====
====Pokémon GO====
Pokémon can be transported from [[Pokémon GO]] to [[Pokémon: Let's Go, Pikachu! and Let's Go, Eevee!]] at the [[GO Park|GO Park complex]]. Due to these games having a different IV systems, the IVs of transported Pokémon must be converted.
Pokémon can be transported from [[Pokémon GO]] to [[Pokémon: Let's Go, Pikachu! and Let's Go, Eevee!]] at the [[GO Park|GO Park complex]], or to [[Pokémon HOME]] through the [[GO Transporter]]. Due to these games having a different IV systems, the IVs of transported Pokémon must be converted.


The Pokémon's HP, Attack, and Defense IVs in the core series game are its corresponding stats in Pokémon GO, multiplied by 2, plus 1. Its Special Attack IV is always equal to its Attack IV, and its Special Defense IV is always equal to its Defense IV. Its Speed IV is randomly generated upon being caught.
The Pokémon's HP, Attack, and Defense IVs in the core series game are its corresponding stats in Pokémon GO, multiplied by 2, plus 1. Its Special Attack IV is always equal to its Attack IV, and its Special Defense IV is always equal to its Defense IV. Its Speed IV is randomly generated upon being caught in the [[GO Park|GO Park complex]] or transported through the [[GO Transporter]].


==In spin-off games==
==In spin-off games==
===Pokémon GO===
===Pokémon GO===
[[File:Appraisal GO.png|thumb|right|200px|Appraisal screen in Pokémon GO since version 0.149.0]]
In Pokémon GO, IVs have a range of 0 to 15. Pokémon have an IV for each of their three base stats: HP, Attack, and Defense. With the absence of other mechanics such as [[Nature]] and {{EV}}s, IVs are the only factor that can distinguish one Pokémon's {{stat|In Pokémon GO|stats}} from another's of the same species and form at each [[Power Up]] level. A Pokémon's IVs can be evaluated using the [[Stats judge#In Pokémon GO|appraisal]] option on the Pokémon screen, which will display a bar chart indicating the IV for each of the three stats and a sticker that rates its IV total.
In Pokémon GO, IVs have a range of 0 to 15. Pokémon have an IV for each of their three base stats: HP, Attack, and Defense. With the absence of other mechanics such as [[Nature]] and {{EV}}s, IVs are the only factor that can distinguish one Pokémon's {{stat|In Pokémon GO|stats}} from another's of the same species and form at each [[Power Up]] level. A Pokémon's IVs can be evaluated using the [[Stats judge#In Pokémon GO|appraisal]] option on the Pokémon screen, which will display a bar chart indicating the IV for each of the three stats and a sticker that rates its IV total.


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{{p|Tyrogue}} [[evolution|evolves]] based on its highest IV (chosen at random from all of its highest IVs if there is a tie).
{{p|Tyrogue}} [[evolution|evolves]] based on its highest IV (chosen at random from all of its highest IVs if there is a tie).
* Attack: {{p|Hitmonlee}}
* Attack → {{p|Hitmonlee}}
* Defense: {{p|Hitmonchan}}
* Defense → {{p|Hitmonchan}}
* HP: {{p|Hitmontop}}
* HP → {{p|Hitmontop}}


A Pokémon's IVs are randomly assigned and uniformly distributed, but with guaranteed minimum values for certain types of encounters. The following shows the minimum IV guarantees for each of the listed encounters. Unlisted encounter types have no guaranteed IV floor.
A Pokémon's IVs are randomly assigned and uniformly distributed, but with guaranteed minimum values for certain types of encounters. The following shows the minimum IV guarantees for each of the listed encounters. Unlisted encounter types have no guaranteed IV floor.
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|- style="background-color:#{{blue color light}}; color:#fff"
|- style="background-color:#{{blue color light}}; color:#fff"
! style="{{roundytl|5px}}"| Encounter
! style="{{roundytl|5px}}"| Encounter
! colspan=2 style="{{roundytr|5px}}" | Minimum IV
! Minimum IV
! style="{{roundytr|5px}}" | Perfect IV probability
|- style="background-color:#{{blue color light}}; color:#fff"
|- style="background-color:#{{blue color light}}; color:#fff"
|- style=background:#fff
|- style=background:#fff
| [[Trade]] (Good Friend)
| [[Trade]] (Good Friend)
| width=20px | 1
! [[File:GO IV 1.png|120px|1]]<br><small>1</small>
| [[File:GO IV 1.png|120px|1]]
! 1 in 3375 (0.0296%)
|- style=background:#fff
|- style=background:#fff
| [[Trade]] (Great Friend)
| [[Trade]] (Great Friend)
| 2
! [[File:GO IV 2.png|120px|2]]<br><small>2</small>
| [[File:GO IV 2.png|120px|2]]
! 1 in 2744 (0.0364%)
|- style=background:#fff
|- style=background:#fff
| [[Trade]] (Ultra Friend)
| [[Trade]] (Ultra Friend)
| 3
! [[File:GO IV 3.png|120px|3]]<br><small>3</small>
| [[File:GO IV 3.png|120px|3]]
! 1 in 2197 (0.0455%)
|- style=background:#fff
|- style=background:#fff
| Weather-boosted {{pkmn2|wild}} spawns<br>Weather-boosted {{OBP|Shadow Pokémon|GO}}
| Weather-boosted {{pkmn2|wild}} spawns<br>Weather-boosted {{OBP|Shadow Pokémon|GO}}
| 4
! [[File:GO IV 4.png|120px|4]]<br><small>4</small>
| [[File:GO IV 4.png|120px|4]]
! 1 in 1728 (0.0579%)
|- style=background:#fff
|- style=background:#fff
| [[Trade]] (Best Friend)
| [[Trade]] (Best Friend)
| 5
! [[File:GO IV 5.png|120px|5]]<br><small>5</small>
| [[File:GO IV 5.png|120px|5]]
! 1 in 1331 (0.0751%)
|- style=background:#fff
|- style=background:#fff
| Shadow Pokémon from [[Giovanni]]
| Shadow Pokémon from [[Giovanni]]<br>Shadow [[Raid Battle|Raids]]
| 6
! [[File:GO IV 6.png|120px|6]]<br><small>6</small>
| [[File:GO IV 6.png|120px|6]]
! 1 in 1000 (0.1%)
|- style=background:#fff
|- style=background:#fff
| [[List of Eggs (GO)|Pokémon Egg]]<br>[[Raid Battle]]<br>[[Field Research|Field]]/[[Special Research|Special]]/[[Timed Research]]
| [[List of Eggs (GO)|Pokémon Egg]]<br>{{OBP|Raid Battle|GO}}<br>{{OBP|Research|GO}} encounter
| 10
! [[File:GO IV 10.png|120px|10]]<br><small>10</small>
| [[File:GO IV 10.png|120px|10]]
! 1 in 216 (0.463%)
|- style=background:#fff
|- style=background:#fff
| style="{{roundybl|5px}} | Lucky Trade
| style="{{roundybl|5px}} | Lucky Trade
| 12
! [[File:GO IV 12.png|120px|12]]<br><small>12</small>
| style="{{roundybr|5px}} | [[File:GO IV 12.png|120px|12]]
! style="{{roundybr|5px}} | 1 in 64 (1.56%)
|}
|}


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<math>Stat = (base + IV) \times cpMult</math>
<math>Stat = (base + IV) \times cpMult</math>


If a Pokémon is transferred from Pokémon GO to [[Pokémon: Let's Go, Pikachu! and Let's Go, Eevee!]], the IVs will be recalculated directly based off the IVs it had in Pokémon GO.  
If a Pokémon is transferred from Pokémon GO to [[Pokémon: Let's Go, Pikachu! and Let's Go, Eevee!]] or [[Pokémon HOME]], the IVs will be recalculated directly based on the IVs it had in Pokémon GO.  


* IV for HP will equal <math>2 \times IV_{HP}+1</math>
* IV for HP will equal <math>2 \times IV_{HP}+1</math>
* IVs for Attack and Sp. Attack will both equal <math>2 \times IV_{Attack}+1</math>
* IVs for Attack and Sp. Atk will both equal <math>2 \times IV_{Attack}+1</math>
* IVs for Defense and Sp. Defense will both equal <math>2 \times IV_{Defense}+1</math>
* IVs for Defense and Sp. Def will both equal <math>2 \times IV_{Defense}+1</math>
* IV for Speed will be randomly determined
* IV for Speed will be randomly determined
===Pokémon Conquest===
{{main|Stat (Conquest)}}
Pokémon in [[Pokémon Conquest]] can have 0 to 31 IVs, with stat determination similar to that of the core series.
A [[Warrior]]'s default Pokémon will have 15 IVs in every stat, while any further wild Pokémon they [[link]] with can have the full range of 0 to 31 IVs.


==In other languages==
==In other languages==
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|fr=Stats individuelles
|fr=Stats individuelles
|it=Punti individuali
|it=Punti individuali
|pl=Indywidualne możliwości
|ru=Индивидуальные характеристики ''Individual'nyye kharakteristiki''
|ru=Индивидуальные характеристики ''Individual'nyye kharakteristiki''
|es=Fortalezas individuales
|es=Fortalezas individuales
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[[Category:Game mechanics]]
[[Category:Game mechanics]]


[[de:Determinant Values]]
[[de:Individuelle Stärken]]
[[es:Genética Pokémon]]
[[es:Genética Pokémon]]
[[fr:IV]]
[[fr:IV]]
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