The article opens with an interesting statement that centre pivot irrigation was introduced, or rather succeeded, in the Plains where groundwater irrigation failed. That stamement is never really expanded on and is a bit odd on its own. All irrigation systems still need water, so what made the difference?
From what I can tell, centre pivot irrigation is preferred primarily because it's dirt cheap and it's reliable. But from a sustainably perspective it's simply encouraged intensive agriculture in places where the local water supply can't support it. These systems ultimately still have to pump water from underground. The irony is that while the invention allowed the dust bowl to bear crop, it's also thoroughly draining local aquifers and its likely that in the near future we won't be able to grow anything there any more.
While true in theory, this doesn't hold up in practice.
The farmers here are constrained in space by roads on all sides and by the price of each irrigation machine. Many small circular irrigation machines will be more expensive and harder to maintain than one large one.
The article you linked shows how given a square area, the packing efficiency of a non-square packing order increases past 80% only after you have around 30 circles and even then the increase is negligible. It would take well over 100 circles to hit the 10% additional area usage you're talking about.
For farmers who want to make use of those corners of their field just use an irrigation system which can handle corners and make 100% use of their land.
There are these type of linear irrigation devices that will cover square/rectangular fields more completely: https://www.valleyirrigation.com/linears . In practice I don't think super optimal land use is very critical for most farmers though, when compared to the additional cost for acquiring and maintaining more complex irrigators.
I initially thought the use of circular irrigation devices would be when land is cheap, but after some research I think the main reason to use them is when water is far more expensive than land.
I zoomed in to various areas in the Midwest US, and I didn't see a single use of the circular devices, only square fields which are likely using the linear irrigation device you described.
However, in areas where water is more expensive such as Colorado, I see the opposite: Only circular irrigation devices.
I think what's happening here is that circular devices shoot the water down which causes all of it to land on the crops. The farms in my area generally use a firehose style sprinkler which shoots the water up. This causes a large chunk of water to get lost but it hits the corners of the land. Due to the cheaper water costs in the midwest, this is acceptable.
My understanding is that many farms in the midwest (as least corn farms) don't irrigate - rainfall is sufficient.
Linear and circular systems should in principle be able to achieve the same water efficiency (within their swept area). They're the same thing - an above ground wheeled mechanism to deposit water.
If you're farming in an area where you're water constrained, then you might not necessarily care about parts of your field not being used (as long as it's reasonably small), since what you care about is your input to output cost.
Some advantages of central pivot is that: a) you only need to feed water to a single fixed point - in a linear system you either need a ditch to draw out of (that's water loss right there), or drag a hose around (that's a possible point of failure) b) you don't need to figure out how to regulate the two ends of your line to keep them in line.
Exactly right on rain being the determining factor. In NE Iowa and SE Minnesota, where I am from, it is one of the most drought-resistant areas of farm land in the nation. No one would waste dollar-one on an irrigation system. (Getting 4 rainless days in a row so that you can bale hay is a bigger issue). As you go west, the influence of the Rocky Mountain rain shadow takes on increasing importance. About half way across SoDak or Nebraska, center-pivot irrigation starts to pencil out.
If water cost is the key concern then surely alternate technologies such as drip-lines, inter-cropping, greenhouses/poly-tunnels, windbreaks and mulch could be explored? Also, selecting less water-intensive crop varieties. Fundamentally, spraying water through the air is a great way to lose a lot of it, both in transit and in evaporation thereafter.
Industrial farmers are a bit trapped in what they can sell and how they produce it. They generally can't change varieties much because the plants they're producing are what the factory wants, and anything outside that expectation will sell for significantly less. Secondly, industrial crop fields tend to be hyper optimized towards using harvesters, which don't easily permit intercropping or things in the field to get tangled. Windbreaks in the form of trees are already common in many areas.
All good points, but kinda tangential. To summarize, perhaps we can agree that there are opportunities for technology to make a substantial difference in the resource efficiency of agriculture, but there remain significant factors effecting inertia and lock-in to existing 20th century industrial agricultural processes which must first be overcome.
The only irrigated fields I know of in the Midwest are for water hungry crops like melon (my background; I grew up in the Midwest, I’m the first generation on both sides of my family not to grow up on a farm, I spent most of my summers on the farm where my mom grew up)
This is only true if the circles are all of equal radius. With only 5 circles and 2 sizes you can get a significant increase to 87%. But the problem of practicality and cost benefit still stands.
What the circle packing does accomplish though is to collect more of the uncovered space into semi-rectangular areas at the edge of the plot, which could be used for other purposes, like buildings or specialty crops. The plumbing is more complex though. One circle is one pipe, 1/2 of the width (sqrt(2)/2 diagonal) Four circles is at least two pipes, 2 width or more and, you might have to run the irrigation sequentially due to flow rate. That could mean time in the field.
I was watching a Joel Salatin video recently and he was pressing the point of having irrigation and other systems where you don’t have to cross the property, on foot or with equipment, to do chores. It’s a huge time sink and some days you will run out of time. If you have to stay for the duration it’s even worse.
A more humble observer would draw a different conclusion about the economics of large scale agriculture.
Farms must clearly place a much higher value on having straight paths between fields than the the value of optimizing the packing of irrigation units. Packing irrigators into a grid gives two orthogonal directions where you can drive in a straight line.
One might suppose that early experiments in hexagonal farms wasted a lot of land on the turning radii at hexagon edges (for heavy machinery to make the corners) or spent a fortune on annual downtime to replace the steering bearings in the tractors.
No reason to make it into a painting. Photos of this kind of thing can be art in their own right. I mean, who cares, but it's worth being aware that large photographic prints are acceptable as art, and, actually, photorealistic painting is often considered pretty cheesy.
Here's an example of a photographer whose (troubling?) work takes the form of very large aerial photos of feedlots:
https://mishkahenner.com/Feedlots
Don’t have to convince me — I see photos as art too. I thought paintings with these because of the abstract shapes. So, not really photo-realism, but interesting compositions to lay down paint within.
Something that might be cool, if impractical: devise a system of end-to-end linked pivot sprinklers in a Fourier series that draws something interesting in vegetation when seen from above!
Always a cute example when people think we need to optimise for land for farming.
Not to say the circle is the best for harvesting or fertilisation and pesticides, there might be gains in doing it in squares, but I think it'd be unlikely.
Some people refer to the rotating structure as “the sprinkler”, but at any rate the question has some merit.
Generally the middle of the structure has small sprayers evenly spaced, and the end of the structure has what looks like a regular sprinkler on steroids. The large throw increases the effective diameter.
It’s a fair question, but the net would be that you use a slightly longer structure and get a rounded rectangle, where the rounded rectangle is just a truncated circle of the area the same sprinkler could cover in theory. Weigh that against the yield and extra maintenance costs.
I haven’t seen this many times, but the Wikipedia article points out there are linear systems that irrigate rectangular areas. They use a canal on one end and pumps on the rig. That explains an unanswered question about irrigation practices I’ve seen in Eastern Washington.
Most of the time the rows are circular the irrigation system is a moving structure that rotates around the central point, where water is pumped into the system, then drops down on the crops.
They frequently do have a sprayer at the end, but it's not sufficient to cover more than an extra few rows around the corners.