Pokeball Catch Rate *serious* Questions

dragonflycave & serebii say…
-20 if used on Pokémon weighing less than 451.5 lbs
+20 if used on Pokémon weighing between 451.5 lbs and 677.3 lbs
+30 if used on Pokémon weighing between 677.3 lbs and 903.0 lbs
+40 if used on Pokémon weighing more than 903.0 lbs

bulbapedia says…
-20 if used on Pokémon weighing less than 451.1 lbs
+20 if used on Pokémon weighing between 451.1 lbs and 677.3 lbs
+30 if used on Pokémon weighing between 677.3 lbs and 903.0 lbs
+40 if used on Pokémon weighing more than 903.0 lbs

arkeis says…
Below 100kg: -30 to catch rate
100kg to 200 kg: +0 to catch rate
200kg to 300 kg: +20 to catch rate
Above 300kg: +30 to catch rate
*though I often find this source to be misleading about pokeballs…
**Although it is still a plausible rate it gave out, though I have my doubts.

serebii & dragonflycave say…
A Pokéball that provides a better catch rate if it is used at the start of a wild encounter
Capture Rate is at 4 for the first turn and 1 any other turn

bulbapedia says…
4× if used within the first 5 turns of a battle
1× otherwise

Two other obscure places (Obscure source 1 and Obscure source 2) say…
4x; goes down 1x every 5 turns; minimum is 1x

dragonflycave & serebii say…
The Opponent's Level is put into the following formula: (40 - Level)/10.

bulbapedia, along with other sources online, say…
3× if used on a Pokémon below level 19
2× if used used on a Pokémon between level 20 and level 29
1× otherwise

bulbapedia, serebii, dragonflycave, and says…
3.5× if used in a cave or at night
1× otherwise

A Thread on Smogon Says…
4x in a cave or at night.