I have been playing this game more or less for a few hours a day (on garden leave) for a few weeks. I was wondering if anyone else had noticed that the rarer the collectable and the less time there is before it disappears, the further away is the nearest child. I have carried out extensive studies in this field and can apply the following law:

"The distance between a collectable and the nearest child is in direct proportion to three variables: 1) number of seconds left before collectable disappears, 2) rarity of the collectable, and 3) number of children available."

It can also be annotated thus:

i = (tlc/27)100

where:
i = distance between collectable and nearest child (as a percentage of Isola's Western Shore map)
t = seconds left before collectable disappears
l = rarity of the collectable
c = number of children

I suggest this is called Isola's "Collectable Law No 1"

WORKED EXAMPLE:
You have six seconds to find one of 36 children to collect an uncommon collectable. Replace each letter in the equation with either 1, 2 or 3 as follows:

t: (seconds)
3 = Less than 8 seconds
2 = 8 to 14 seconds
1 = 15 or more seconds

l: (rarity)
3 = Rare
2 = uncommon
1 = common

c: (children)
3 = Less than 30 children
2 = 31 to 60 children
1 = 61 or more children

So, t: 6 = 3 / l: uncommon = 2 / c: 36 = 2

(3x2x2/27)x100 = 44% - a child is at least 44% of the map away from the collectable

Or you can use these tables:

Time = 3
Children 3.....2.....1
Rarity 3 100% 67% 33%
Rarity 2 67% 44% 22%
Rarity 1 33% 22% 11%

Time = 2
Children 3.....2.....1
Rarity 3 67% 44% 22%
Rarity 2 44% 30% 15%
Rarity 1 22% 15% 7%

Time = 1
Children 3.....2.....1
Rarity 3 33% 22% 11%
Rarity 2 22% 15% 7%
Rarity 1 11% 7% 4%

As I am no mathematician please feel free to amend / replace any errors.

Does anyone else have any other laws they might want to share?
xx