Pokémon stats - IVs, EVs, Level, Natures and Base stats explained

[Doctile]

  

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Pokémon stats

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Every casual Pokémon player knows that different Pokémon have different stats. Some are strong in Defense, some in Attack, some in Speed and so on.
Even under the same species there are differences.
How those stats work in detail is actually knowledge not too many trainers know.
This guide will casually explain all Pokémon stats, so you can finally understand those mysterious IVs, EVs and others. Later on there are also calculations for more interested trainers.

 

 

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Stat overview

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 Let's take a look where you can see your Pokémon's stats.
By clicking on a Pokémon in your in-game computer or your party, an info card with many information will open.
On the bottom right you will see many numbers. They display most of  your Pokémon's stats.

 

 

 

 

1.  You will notice you have different stats in Attack (ATK), Defense (DEF), Speed (SPD), Special Attack (SPATK), Special Defense (SPDEF) and Health Points (HP) (Bottom right).
   As you can see you have two different types of 'Attack' stats, 'Attack' and 'Special Attack'.
   Basically ATK refers to physical attacks while SPATK refers to non physical 'special' attacks.
   The damage of a physical attack move will only be calculated with your ATK stat, the power of the move and the opposing Pokémon's DEF and HP stat (Exceptions exist but are not the default). That means that the Special Defense has no influence at all when it comes to physical attack move damage.
   With special attacks it's the other way around, the power of the special move is calculated by the SPATK stat, the power of the move and the Special Defense and HP of the opposing Pokémon.
   The speed stat is there to determinate which Pokémon is gonna move first, considering the priority* is the same. If there is a speed tie, the first moving Pokémon is random. The Showdown damage calculator is a great tool to calculate damage in and outputs and gives those stats more meaning.
   *(Some attacking moves have a so called 'priority' and always move first unless the opposing Pokémon also uses a priority move)
    

   
   Physical and special moves have a own sign when you hover your mouse or finger above the move in your Pokémons info card, a info box will appear.
   To the left, Bolt Strike, is a Physical attack move.                     To the right, Air Slash, is a Special attack move.
    

2. Staying at the bottom right you have one column with white numbers, those are the total stats (exception HP - on the top left). You get those after adding everything following up. They and the move you choose determine how much damage you deal, you take and if you move first or not. For that again, the Showdown damage calculator is very helpful.

    

3. Right next to them, in the orange column you see the IVs (Individual Values). They are randomly generated, not changeable integers (No commas) from minimum 1 to maximum 31. At level 100 one IV will add one point to your total stats.
   Legendary Pokémon can only be caught once in PRO. Therefore there is an exception for them: With the help of so called Reroll-Ticket's you can randomly change the IVs of your legendary Pokémon.
    

   
   Reroll tickets are often used items in order to optimize legendary Pokémon.
    

4. One more column to the right you see the in blue written EVs (Effort Values). Every players Pokémon can have 510 of them in total, while the maximum is 252 per stat. NPC's in PRO can actually have more than 510 EVs in total and 252 per stat. They are also adjustable; with that is meant they can be in and decreased - every trainer can train them as they want.
   How to train EVs, to get rid of them again and more you can find out in the EV Zone Breakdown.

    

5. Pretty much in the center you can see the Nature information. The randomly set Nature of a Pokémon increases one stat and decreases the same or another stat by 10%. Green written stats are increased, orange written ones are decreased. (All white => Same stat is in and decreased).
    

   

   For this Blastoise the increased stat is the SPATK stat and the deceased one the SPDEF stat. It's nature is Rash.

   
   Every Nature has a name. In the chart below you can see all Natures, their names and their effects
    

   

   A nature chart from the old Pokémon stat guide. It shows the name of all natures and their effects.

   
   The Nature of a normal Pokémon can't be changed. Legendaries form an exception again as there is also a kind of Reroll Ticket for their Natures to be adjusted.
   
   It is important to mention that it is possible to increase the chance of getting a certain Nature of wild Pokémon by using a Pokémon with the ability Synchronize.
   More dedicated players that hunt for specific Pokémon pretty much always use those 'sync mons'. With the ability Synchronize you have a extra 50% chance to get the same Nature as the Pokémon with the Synchronize ability. The ability triggers if the Pokémon with Synchronize is the first Pokémon to appear in a battle, or is in the first slot while being defeated. If you have a defeated 'sync Pokémon' in the first slot and a living one in the second, the first slot sync will trigger.
   A typical 'Sync mon' would be Kadabra or Alakazam.
    
6. Let's open the Pokédex now, as the Base Stats of our Pokémon are not displayed in the info card.
   Base stats are set for every Pokémon and can not change. They are 'the base' for the stat calculation and usually have the biggest influence in the total stats.

   
   
   Jolteon's strongest Base stats are the SPD stat followed by SPATK, its weakest are the DEF, ATK and
   HP stat. It seems to have great potential in Speed and Special attack, while its defense is very low.
    

   If you take a base stat, double it and add 5, you have your total stat without influence of IVs, EVs, Nature etc. at level 100.
   For the HP stat you take the double and add the level of your Pokémon plus 10 at level 100 (Excluding Shednija).

   For level 50 you take the half of your Base stat, for level 25 a quarter and so on.
    

7. At the very end we still have our Level. In your info card the level of your Pokémon is located on the top part next to the name. A Pokémon has a level with the minimum of 1 and a maximum of 100 and can not lose any level. The level determinantes how much of the full potential of the Pokémon is used. After every level up the Pokémon gains 1/50 stat points based on the base stats, 1/100 of their IVs and 1/400 of their EVs in each stat. How interesting. That's why I put it in the end.

 

 

 

 

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Calculating stats

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Of course you already have concluded the correct formulaas but wonder how to deal with non integer numbers as they do not appear in the total stats - I knew it.
In order to keep everything easy to read, it wasn't mentioned and that's the reason why the final formulas are posted here - no other reason.

 

 

 

 

The calculating part is actually easy, even when the formulas may look like rocket sience. You just put the numbers in the red places and use a calculator.
Lets do that step by step.

 

Lets take this Jolteon as test object and prove that PRO's stat calculation is hopefully correct.

 

 

HP stat

Spoiler

1. Lets put in all our stats in the HP formuar:
   
   
    
2. Lets start at the first brackets on the top:
   
   
   
   We have to multiply and divide first. Then we can sum up. Also everything in the brackets goes first, then we can multiply with 78.
   You may have noticed those weird brackets that look like an L. They help to give out no floating values.
   51 divided by 4 is actually 12.75. However, if an operation is surrounded by those bracklets, its the next lower integer. 12 in this case.
   In the end we get 169 which we can multiply by 78 now which is again 13182.
    
3. Looks like this now:
   
   
   
   Now we can divide by 100. That's 131.82 Now sum up the 78 and 10 and that is 219. The same as in PRO

 

Speed stat

Spoiler

1. Lets try the Speed stat now. Filling in the formuar:
   
   
   
   As the Nature impacts our speed stat by 10%, we fill in 1.1
   If we had a decreasing stat it would be 0.9
    
2. As the way for the solution for the fraction is exactly the same as before, I will skip it. Should look like this now:
   
   
   
   Now we add 5, multiply with 1.1 and get 286.
   That's correct it seems.