Monday, March 09, 2015

Urban models and urban centers


Following Milton Friedman's suggestion that economic models be judged not by the plausibility of their assumptions, but by their ability to predict, Queen Elizabeth asked some of LSE's finest why they did not see the Great Recession coming. Ouch!

In "The growth of cities," Gilles Duranton an Diego Puga make use of urban economists' "monocentric" model of cities for the obvious reason that it is analytically tractable. Citing the Glaeser and Kahn (2001) finding that "In 1996 only about 25% employees in US metropolitan areas worked within five km of the CBD ..." (p. 5), Duranton and Puga go on to say that there is, nonetheless, "strong empirical support for the existence of declining gradients of land and housing prices, population density and intensity of construction as predicted by the monocentric model." There are of course many other assumptions (homogenous labor and capital stock!) that cause concern.

I often cite Bumsoo Lee's work on the location of jobs in U.S. metropolitan areas in this connection (the paper has my name on it but this part is Bumsoo's work).  They key table is reproduced below. 

There are always debates on how "sub-centers" "central business districts, CBD's" etc. should be defined and delineated. Bumsoo tested two approaches and came up with roughly similar results. Average "big-city" CBD employment was either 7.1% or 10.8% of the metropolitan total. Take your pick.

Stick to the largest MSAs for the moment. Bumsoo found that 15% of the jobs were in subcenters and 78% were "dispersed". Let's talk about measured gradients emanating from the CBD. The measured density (for example) at any location is the vertical addition (density on the vertical axis, distance from the center on the horizontal) of all of the (unseen less easily seen) gradients from all the centers that reach to that location. Ascribing all of the influence to the main center is a mistake.  In work that some of us did some years ago, we found strong influence through the LA region from a very flat gradient emanating from LAX.

But a bigger point has to do with the fact that the survival (and growth) of any and all centers has to do with the agglomeration opportunities they offer.  Agglomeration opportunities are apparently available at many places outside the traditional center.


Employment shares by location type in 2000
MSA Name
Employment
No. of
Employment
Share of employment (%)


Sub-
CBD
Sub-
Dis-
All
CBD
Sub-
Dis-
centers

centers
Dispersed
centers

centers
Perse



A
B
C




New York
9,418,124
33
937,055
1,057,297
7,423,772
21.2
9.9
11.2
78.8
Los Angeles
6,716,766
53
190,100
1,931,988
4,594,678
31.6
2.8
28.8
68.4
Chicago
4,248,475
17
297,755
504,732
3,445,988
18.9
7.0
11.9
81.1
Washington
3,815,240
16
283,341
449,488
3,082,411
19.2
7.4
11.8
80.8
San Francisco
3,512,570
22
205,553
849,021
2,457,996
30.0
5.9
24.2
70.0
Philadelphia
2,780,802
6
239,735
125,190
2,415,877
13.1
8.6
4.5
86.9
Boston
2,974,428
12
238,092
239,257
2,497,079
16.0
8.0
8.0
84.0
Detroit
2,508,594
22
129,845
557,776
1,820,973
27.4
5.2
22.2
72.6
Dallas
2,565,884
10
126,010
404,365
2,035,509
20.7
4.9
15.8
79.3
Houston
2,076,285
14
165,525
432,101
1,478,659
28.8
8.0
20.8
71.2
Atlanta
2,088,215
6
166,946
223,168
1,698,101
18.7
8.0
10.7
81.3
Miami
1,623,892
6
121,045
243,970
1,258,877
22.5
7.5
150.
77.5
Seattle
1,745,407
7
163,051
207,542
1,374,814
21.2
9.3
11.9
78.8
Phoenix
1,463,581
9
104,417
189,071
1,170,093
20.1
7.1
12.9
79.9
3 million and plus

17.0



22.1
7.1
15.0
77.9
1 to 3 million

2.6



17.8
10.8
7.0
82.2
half to 1 million

0.9



17.4
12.2
5.2
82.6
Source: Bumsoo Lee (2007)

ADDED

More on CBD employment.