Bamboo is a grass, it doesn't layer bark. It's one and done. The internode distance is pretty much fixed once it hardens. The bamboo cells inflate and harden. So the graphs make a reasonable amount of sense.
The wall thickness is a function of time to harden, and time to add extra stuff to the wall. Segments close to the ground have simply longer time, and likely hardening begets hardening.
The internode distance is interesting in that there is a natural point at which the bamboo stops elongating and begins to start shortening (again in a negative exponential). My understanding is that bamboo does start to keep "leaves" that sprout from the nodes, to gather light and energy. I wonder if that is the point that the leaves start, and hence it is a mixture of both time (less time = shorter) and investment in energy (effort to grow sun-catching leaves).
Some interesting followups would be in the natural habitat, where does the typical canopy start?
> in the natural habitat, where does the typical canopy start
Doesn’t have to be driven by “natural habitat”, just the current environment. You are right though, the stalk wants to grow tall quickly (but not any taller than necessary, hence the successively increasing node distance in its “search”) until there is sufficient light, then it begins to disfavor further height growth in favor of increased density of leaves (nodes, where the leaves come from)
This is very interesting. I do wonder what process drives the bamboo to form a node. So it's basically a pipe growing on its merry way then slams on the brake and by some means grows a disk 90° to the direction it was growing before it stopped. And that's assuming it stopped growing vertically before it decided it was time for another node.
> So it's basically a pipe growing on its merry way then slams on the brake and by some means grows a disk 90° to the direction it was growing before it stopped
It’s always growing up, even as it creates a node. The way it works is the hormones shoot down the stem from the tippy top (where the growth is happening) and tell a lower part of the plant to create a node there (even as the top continues to grow up)
Following negative exponential growth towards the top makes some sense. You want to have more weight towards the bottom/middle for balance. Interesting that the bulk is in the middle of the stalk.
edit: Maybe I misunderstood? I'm a bit confused on width/length here.
The stalk wants to grow tall quickly (but not any taller than necessary, hence the successively increasing node distance in its “search”) until there is sufficient light, then it begins to disfavor further height growth in favor of increased density of leaves (nodes, where the leaves come from)
Maybe even the double-integral, since the plotted variable is node-number, not length. Integrating once would give node length as a function of height along the stalk, and then integrating a second time (times wall thickness) would give weight.
The following could be completely wrong...
Bamboo is a grass, it doesn't layer bark. It's one and done. The internode distance is pretty much fixed once it hardens. The bamboo cells inflate and harden. So the graphs make a reasonable amount of sense.
The wall thickness is a function of time to harden, and time to add extra stuff to the wall. Segments close to the ground have simply longer time, and likely hardening begets hardening.
The internode distance is interesting in that there is a natural point at which the bamboo stops elongating and begins to start shortening (again in a negative exponential). My understanding is that bamboo does start to keep "leaves" that sprout from the nodes, to gather light and energy. I wonder if that is the point that the leaves start, and hence it is a mixture of both time (less time = shorter) and investment in energy (effort to grow sun-catching leaves).
Some interesting followups would be in the natural habitat, where does the typical canopy start?
> in the natural habitat, where does the typical canopy start
Doesn’t have to be driven by “natural habitat”, just the current environment. You are right though, the stalk wants to grow tall quickly (but not any taller than necessary, hence the successively increasing node distance in its “search”) until there is sufficient light, then it begins to disfavor further height growth in favor of increased density of leaves (nodes, where the leaves come from)
This is very interesting. I do wonder what process drives the bamboo to form a node. So it's basically a pipe growing on its merry way then slams on the brake and by some means grows a disk 90° to the direction it was growing before it stopped. And that's assuming it stopped growing vertically before it decided it was time for another node.
This is good stuff.
> So it's basically a pipe growing on its merry way then slams on the brake and by some means grows a disk 90° to the direction it was growing before it stopped
It’s always growing up, even as it creates a node. The way it works is the hormones shoot down the stem from the tippy top (where the growth is happening) and tell a lower part of the plant to create a node there (even as the top continues to grow up)
D'Arcy Thompson: On Growth and Form. (1917)
https://en.wikipedia.org/wiki/D%27Arcy_Wentworth_Thompson#On...
Following negative exponential growth towards the top makes some sense. You want to have more weight towards the bottom/middle for balance. Interesting that the bulk is in the middle of the stalk.
edit: Maybe I misunderstood? I'm a bit confused on width/length here.
“Wall thickness” (not width) decreases from bottom to top, which fits your comment of more weight towards the bottom.
Internode length increases up to the middle node (not sure if it’s also middle height), then decreases from mid-node to top.
Then internodes at the top are shorter and lighter.
I don’t know if the length pattern has some evolutionary advantage.
The stalk wants to grow tall quickly (but not any taller than necessary, hence the successively increasing node distance in its “search”) until there is sufficient light, then it begins to disfavor further height growth in favor of increased density of leaves (nodes, where the leaves come from)
the first thing that came to mind was it looks like the curve of a charging then discharging of a capaciter in a RC circuit
yes definitely transitions from
y(t) = V * [ 1 - e^(-R * C * t) ]
to
y(t) = V * e^[-R * C * (t-T) ]
since the weight of the plant is cumulative, it's interesting to think about the integral of these functions as they hold up the plant.
Maybe even the double-integral, since the plotted variable is node-number, not length. Integrating once would give node length as a function of height along the stalk, and then integrating a second time (times wall thickness) would give weight.
It looks like a type of beta pdf distribution curve to me. Interesting!