The seeds of many tree species tend to have a higher “landing density” close to the tree, with some seeds making it to f
Posted: Fri May 06, 2022 7:02 am
The seeds of many tree species tend to have a higher “landing
density” close to the tree, with some seeds making it to further
distances due to dispersion by wind or animals. It is also true,
due to a number of factors, seeds have a better chance of
germinating as the distance between the seed and its parent tree
increases.
Assume that, for a given tree species, the seed landing density
can be represented with the function:
LD=aD+bD-1+c
(seeds/m2)
Where D is the distance (in m) from the tree.
Also assume that the fraction of seeds that germinate (F)
is a function of distance, specifically:
F=dD2+eD
At what distance D would you expect to find the
greatest number of germinated seeds? Your answer should be in terms
of a, b, c, d and e.
density” close to the tree, with some seeds making it to further
distances due to dispersion by wind or animals. It is also true,
due to a number of factors, seeds have a better chance of
germinating as the distance between the seed and its parent tree
increases.
Assume that, for a given tree species, the seed landing density
can be represented with the function:
LD=aD+bD-1+c
(seeds/m2)
Where D is the distance (in m) from the tree.
Also assume that the fraction of seeds that germinate (F)
is a function of distance, specifically:
F=dD2+eD
At what distance D would you expect to find the
greatest number of germinated seeds? Your answer should be in terms
of a, b, c, d and e.