Random spacing patterns in plants such as the creosote bush are most often associated with

Chances  

Explanation: The random spacing of the creosote bush are often associated with chances.

This plant is also known as greasewood plant.It is a kind of medicinal herb in Mexico.  

In Spanish due to the ability to secure more water this plant is used  because it inhibits the growth of the nearby plants.

It is by chances that these plants follow a certain pattern when they grow in a certain pattern.

It is not that they are plant in such a way they start growing and grows in pattern.

producers: apple trees, potatoes, carrots, grains, acorns, cabbage, grass, corn, lettuce

consumers: deer, mice, rabbits, chickens, squirrels, horses, worms, cows

predators: eagles, frogs, wolves, owls