Thanks for the feedback. From Wikipedia "In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. For instance, considering the area of a square in terms of the length of its side, if the length is doubled, the area is multiplied by a factor of four".
Thank you for that Alpha. Admittedly I completely struggled with understanding this, haha. The first link had some bits I could sort of get my head around but it was a stretch...
On way to think about it is let say we have a rainfall of 1mm, and that occurs once a month. If you double the size of the rainfall to 2mm, maybe that occurs a quarter as often, so that would happen once every 4 months. Well if the rainfall obeyed a power law then if you double the size of the rainfall again to 4mm, then the occurence would be 1/4 of that, so a rainfall of that size would occur once every 16 months.
"I have been asking people what they think about naming this field, and interested in hearing opinions from more people."
Water Dynamics? or is that already used in other contexts?
I havent used water dynamics used. Its a possibility as a name for the field.
If you would like to add to our Water Principles board on our miro board, you can use this link https://miro.com/app/board/uXjVOWyRxrQ=/?utm_source=notification&utm_medium=email&utm_campaign=daily-updates&utm_content=go-to-board
This is great. Hope you can maybe also have it illustrated?
One thing that I didn't understand and hadn't heard was number 5 "The size of rains follows an earthquake-like power law size scale."
I also love the post it note board and find the groupings a bit easier to flow through than just reading the numbered list.
Really excited to see what you all eventually come up with!
Thanks for the feedback. From Wikipedia "In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. For instance, considering the area of a square in terms of the length of its side, if the length is doubled, the area is multiplied by a factor of four".
So if we plot frequency vs size of rain we get a power law relationship. See this link http://cmth.ph.ic.ac.uk/people/k.christensen/research/rain.html . This kind of behavior can give rise to whats called self-organized criticality https://www.hindawi.com/journals/amete/2012/203682/ .
Fractals obey power laws. Here is the founder of fractals, Benoit Mandelbrot on the fractal power law behaviour of rainfall https://www.tandfonline.com/doi/pdf/10.3402/tellusa.v37i3.11668
Thank you for that Alpha. Admittedly I completely struggled with understanding this, haha. The first link had some bits I could sort of get my head around but it was a stretch...
On way to think about it is let say we have a rainfall of 1mm, and that occurs once a month. If you double the size of the rainfall to 2mm, maybe that occurs a quarter as often, so that would happen once every 4 months. Well if the rainfall obeyed a power law then if you double the size of the rainfall again to 4mm, then the occurence would be 1/4 of that, so a rainfall of that size would occur once every 16 months.
Thanks Alpha, easier to understand your explanation! Thank you.
Heres a simpler video about how power laws happen in biology, ecosystems, and urban environments https://www.youtube.com/watch?v=6Gw07lDU8-Y
Ok wow, that's amazing, understood now, he communicates it so well
Here is an article "Rain is Earthquake in the sky" in New Scientist magazine that explains connection in easier to understand way https://www.newscientist.com/article/dn2241-rain-is-earthquake-in-the-sky/ (you do have to register for free to read whole article)