Remember that time economists used a gravity model to find ancient lost cities from the Bronze Age?
If you do or you don't, check out this threadđź§µ
The authors gained access to a collection of almost 12,000 deciphered and edited texts that were excavated primarily at the archaeological site of Kültepe, ancient Kaneš.
The ruins (pictured) are located in central Turkey, in the province of Kayseri.
The texts look like this.
They were inscribed on clay tablets in the Old Assyrian dialect of Akkadian in cuneiform by ancient Assyrian merchants, business partners, and their family members.
This tablet is dated to between 1930 and 1775 B.C.
The tablets were all from between 1930 and 1775 B.C., and 90% of the sample came from just one generation of traders, between 1895 and 1865 B.C.
The reason is that Kaneš experienced a major fire in 1840 B.C. and the commercial archives in the city were sealed off.
Tablets were largely business letters, shipment documents, accounting records, seals, and contracts.
A typical shipment document or expense account in which a merchant would inform partners about their cargo and expenses would read like this:
Some business letters would contain information about market and transport conditions, like this:
The tablets are spread across the world in museums and institutions, but many have been transcribed.
The transcribed ones mentioned 79 cities distributed across modern-day Iraq, Syria, and Turkey and 2,806 mentioned at least two Anatolian city names simultaneously, like so:
That tablet identified three shipments: Durhumit to Kaneš, Kaneš to Wahšušana, and Durhumit to Wahšušana.
So the itinerary is A→B→C, and there were 227 of these, with 391 examples of travel between city pairs.
Specifically, 25 city pairs: 15 known (gray), 10 lost (black).
Using trade among known cities, they estimated the distance elasticity of trade (how sensitive trade btwn cities is to the distance btwn them), so they could estimate the prbblity of shipments from city i to city j given their distance
Thus, probable locations for 10 lost cities
These estimates largely concurred with those of historians, and since the historians' conjectures weren't used in the model, this suggests people should start pursuing those estimations.
In fact, this modeling exercise might help to decide among the different proposals made by historians.
But the authors weren't done. They supplemented their analysis with data from merchant itineraries. For example, consider this letter:
That letter was submitted to the Assyrian port authorities at Kaneš from emissaries in Wahšušana, and it described how missives would travel through two different routes:
Wahšušana→Ulama→Purušhaddum
W→Šalatuwar→P
But only Wahšušana, Ulama, and Šalatuwar are known cities.
Using every multistop itinerary, a model with just two constraints offers a lot of info. The constraints are simple:
1. When deciding itineraries, merchants like direct routes. 2. Caravans have to make stops to rest, replenish supplies, feed pack animals, and make side trades.
With estimates constrained to regions that are admissible given those constraints (dashed lines), the locations of the newly-identified lost cities are now more certain!
With the exception of Purušhaddum.
But how do we know this method works?
Easy! Just lose known cities and see if the method rediscovers them.
As the picture shows, the average distance between estimated and known city locations wasn't huge. In fact, estimates were a median of 33km away (mean = 40km).
This method also helps to identify the names of sites that people have continued living in, like Kırşehir Kalehöyük, which might have been located under where the Alaaddin Mosque and a high school were later built.
There are other interesting findings here, too.
Consider this: geography has deep and persistent impacts on the economy of the area, and cities tend to show up where there are "natural roads".
Ancient cities were estimated to be larger when the natural roads were better!
And, modern cities are larger when nearby ancient cities were estimated to be larger as well.
The deep geographic reasons for cities to crop up in certain locations are still powerful forces today!
And for the real nerds, Zipf's law looks to basically hold for ancient city populations.
There you have it: economists might have discovered the locations of ancient lost cities from the Bronze Age, and supported a number of other fun facts while they were at it.
Only time will tell if these discoveries end up being true 🤞
Link:
The model the authors used was the gravity model: the workhorse model of trade.
The idea is to put large, powerful animals like bulls or lions in the ring with several dogs, and the winner lives.
The sport has existed for thousands of years. One of our first records is of Indians showing it to Alexander the Great.
The first record in England comes from 1610 and features King James I requesting the Master of the Beargarden—a bear training facility—to provide him with three dogs to fight a lion.
Two of the dogs died and the last escaped because the lion did not wish to fight and retreated.
For one, there's no supportive pattern of sanctions. For two, you can develop in near-autarky, and before post-WW2, that was comparatively what the most developed countries were dealing with.
I'm not talking fatalities, but bites, because bites are still a bad outcome and any dog who bites should be put down.
If we take the annual risk a dog bites its owner, scale it for pit bulls and Golden Retrievers, and extrapolate 30 years...
How do you calculate this?
Simple.
First, we need estimates of the portion of the U.S. population bitten by dogs per year. Next, to adjust that, we need the portion of those bites that are to owners. So, for overall dogs, we get about 1.5% and roughly ~25% of that.
Then, to obtain lifetime risk figures, we need to pick a length for a 'lifetime'. I picked thirty years because that's what I picked. Sue me. It's about three dog lifetimes.
P(>=1 bite) = 1-(1-p)^t
It's pure probability math. To rescale for the breed, we need estimates of the relative risk of different dog being the perpetrators of bites. We'll use the NYC DOHMH's 2015-22 figures to get the risk for a Golden Retriever (breed = "Retriever" in the dataset) relative to all other dogs, and Lee et al. 2021's figures to get the risk for a pit bull. The results don't change much just using the NYC figures, they just became significantly higher risk for the pit bulls.
To rescale 'p' for b reed, it's just p_{breed} = p_{baseline} \times RR_{breed}.
Then you plug it back into the probability of a bite within thirty years. If you think, say, pit bulls are undercounted for the denominator for their RR, OK! Then let's take that to the limit and say that every 'Black' neighborhood in New York has one, halve the risk noticed for them, and bam, you still get 1-in-5 to 1-in-2.5 owners getting bit in the time they own pit bulls (30 years).
And mind you, bites are not nips. As Ira Glass had to be informed when he was talking about his notorious pit bull, it did not just "nip" two children, it drew blood, and that makes it a bite.
Final method note: the lower-bound for Golden Retriever risk was calculated out as 0.00131%, but that rounded down to 0. Over a typical pet dog lifespan of 10-13 years, an individual Golden Retriever will almost-certainly not bite its owner even once, whereas a given pit that lives 11.5 years will have an 18-33% chance of biting, and if we use the DOHMH RRs, it's much higher. If we use the DOHMH RR and double their population, that still holds.
The very high risk of a bite associated with a pit bull is highly robust and defies the notion that '99.XXXX% won't ever hurt anyone.' The idea that almost no pit bulls are bad is based on total fatality risk and it is a farcical argument on par with claiming that Great White Sharks shouldn't be avoided because they kill so few people.
Frankly, if we throw in non-owner risk, the typical pit bull *will* hurt some human or some animal over a typical pet dog's lifespan. And because pit bulls live a little bit shorter, you can adjust that down, but the result will still directionally hold because they are just that god-awful of a breed.
Final note:
Any dog that attacks a human or another dog that wasn't actively attacking them first should be put down. That is a big part of why this matters. These attacks indicate that the dogs in question must die.