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Urbanity: What is it? or How to Calculate the Urbanity Index u

Mikael Askergren © 2016

Prologue

Look here. René Magritte: Golconde (1953). Something is not right. And I am not referring to the weightlessly floating gentlemen in bowler hats. So what can be “wrong?”

At first glance it appears that the artist has depicted a normal city street, a typical rue-corridor, but if you look more carefully you soon discover that the buildings are all connected with each other, that there are no vertical meeting lines or joints that separate the buildings (properties) along the street. For a moment the varying roofscape has fooled the eye. What at first glance appears to be different buildings, with a different roof on each building, turns out to be one-single-roof on just-one-building. This is not what a street in an older city district looks like. It is simply—wrong. The artist does not understand how cities come about, how they grow and change over time. He does not understand how urbanity works.

The Urbanity Index u

Today there is no scientific basis for the use of the term urbanity in academic or professional contexts. Researchers have not been able to agree on a definition. In spite of this there is a growing demand for more “urban” city development. Which means, to put it simply, building with more density. But is this new density really always an expression for a new urbanity as well? We need a professional definition of urbanity right away, pronto. We need a definition that makes urbanity measurable, quantifiable. We need an Urbanity Index u. This measurement is based on a conscious division and clear stratification of the city’s property and building boundaries. In simplified terms, these can be divided into two classes or categories:

• Inner property lines (property linesinner), between an individual property and another individual property. Requires no large investments beyond perhaps boundary markings like fences or walls. Inner property lines are cheap.
• Outer property lines (property linesouter), between an individual property and the street/public space. Requires large investments in infrastructure (electricity, water, sewer) and maintenance (snow removal) along the street. Outer property lines are expensive.

The total length of the inner property lines of one or several city blocks, divided by the total length of the outer property lines of the same block or blocks (∑property linesinner / ∑property linesouter), that ratio, that relation is what I call the Urbanity Index—which I shorten to u.

Definition of Urbanity

The Urbanity Index u (= ∑property linesinner / ∑property linesouter), establishes a very reliable measurement of urbanity. Urbanity can therefore be defined as a certain Urbanity Index u. There may be differing opinions about what exactly the minimum level should be for an urban u-index, but I propose that a property development shall be classified as urban if the ratio ∑property linesinner / ∑property linesouter is greater than or equal to one (if the Urbanity Index u ≥ 1) for the property development in question.1

Four Examples

Look at this image montage with four historical examples of typical planning areas in Stockholm. The way in which these four examples relate to each other, both in the coordinate system’s x-axis (“buildings-along-the-street” / “buildings-in-a-park”) and y-axis (high u / low u), leads to the following observations and reflections:

The planning examples from Östermalm and Skarpnäck, in the two quadrants on the right, are noticeably similar to each other in regards to their architectural form and their manner of arrangement (“buildings-along-the-street”), but Östermalm (high u) is experienced as much more “urban” than Skarpnäck (low u). The planning examples from Gärdet and Skärholmen, in the two quadrants on the left, are also noticeably similar to each other in regards to their architectural form and their manner of arrangement (“buildings-in-a-park”), but Skärholmen (low u) is not at all experienced as “urban” as Gärdet (high u). The difference in the Urbanity Index between, on the one hand, planning examples from Östermalm and Gärdet (high u), and on the other hand planning examples from Skärholmen and Skarpnäck (low u), correspond well with the differences in the experience of urbanity. A classification based on “buildings-along-the-street” and “buildings-in-a-park” has nothing to do with classifying according to a felt urban experience. The Urbanity Index u in this way says more about these four planning areas’ urban qualities than what their architectural forms, styles, or planning arrangements do.

In the 1930s the building industry was still dominated by an 1880s planning approach based on small production units, which at Gärdet resulted in properties that were just as small as those of fifty years earlier built along the street corridors of Östermalm. As a result, Gärdet (“buildings-in-a-park”) has an equally high u as Östermalm (“buildings-along-the-street”). In the 1980s the building industry was still dominated by a 1960s planning approach based on large production units, which in Skarpnäck resulted in properties that were as large as the long building slabs in Skärholmen from thirty years earlier. So Skarpnäck (“buildings-along-the-street”) has an equally low u as Skärholmen (“buildings-in-a-park”). The classification of planning examples according to the Urbanity Index, with Östermalm and Gärdet in one group (high u) and Skärholmen and Skarpnäck in the other (low u), corresponds well with very important socio-economical changes in our city planning history. But since all four examples have more or less equal levels of density with more or less equal floor area ratio levels, the floor area ratio FAR cannot be used to make this kind of classification. For this reason FAR cannot be used to measure the differences between the planning examples in regards to the experience of urbanity. The Urbanity Index u therefore tells us more about the urban character of these four examples than what the floor area ratio FAR can do.

But is it a pure coincidence that both of the low-u examples (Skärholmen and Skarpnäck) are located on the outskirts of the city, while both of the high-u examples (Östermalm and Gärdet) are in the center? Are not the differences in the experience of urbanity in these four examples actually more about the center-periphery dichotomy?

Counterintuitive Measurement Results

Not really. There are plenty of areas on the periphery with very high u-index values and with much more ”urbanity” than both Skärholmen and Skarpnäck. I am referring of course to single-family housing areas.

“But in these areas there is no street life to speak of, with large spaces between the houses, and no shops and restaurants—areas of this kind are about as far away from the notion of urbanity as one can get!” somebody will protest.

Which shows that the Urbanity Index u may often give a measured result that at first glance seems counterintuitive. Like when a bleak, empty field in the middle of nowhere is classified in a u-index calculation as a highly urban place, long before the arrival of any streets or any buildings—as long as there is a property division, as long as there is a plot map. If the reliability of the u-index as a measure of urbanity is accepted—as indeed it should be—then urbanity has arisen at the same moment when property boundaries were established. The buying and selling of unbuilt lots and properties is classified in the long run as an urban practice of the highest degree. Which is fully reasonable, is it not, upon further reflection.

Suburban real estate and inner city real estate are part of the same economy, and are bought and sold in the same market. In spite of the inherent difference in lifestyles between the two, both single-family housing areas (with high u) and inner-city urban blocks (with high u) are an expression of one-and-the-same urbanity. And in the case where the u-index value for the sleepy (at the moment) single-family housing area is very high, this high u-index value also becomes a prediction and half promise of a possible “hyper-urban” future, in which the area eventually gets denser, and commercial, cultural and entertainment development appears (which aligns more closely with our most common intuitive understanding of the term urbanity). Many busy, crowded “hyper-urban” areas were originally rural faubourgs located on the outskirts of the city.2 And the likelihood that a sparsely populated single-family housing area with high u will develop this kind of hyper-urbanity over time is much greater than what an already densely populated high-rise suburban area with low u ever will.

The main difference in the experience of urbanity between the two high-u examples and the two low-u examples mentioned above is not principally about the center-periphery dichotomy. Low-u areas tend to be located on the periphery of the city simply because they are the youngest areas, because the city center was already completed at the time when housing areas with low u began to be built systematically. And these outer suburban areas with low u lose out not only when compared to inner city areas with high u, they also lose out when compared to city-block planning in outer areas with high u. In this respect the Urbanity Index u tells us more about how urbanity arises and is developed, both in and around our cities, more than even the center-periphery dichotomy does.

Zero Urbanity

The Urbanity Index is in any case extremely high (u = 1.2) for the examples from Östermalm and Gärdet, but individual larger lots located here and there among the smaller lots makes u for Östermalm and Gärdet on the whole somewhat lower (u ≈ 1). The Urbanity Index is extremely low (u = 0) for the examples from Skärholmen and Skarpnäck, but individual blocks located here and there that have been divided into at least two separate properties makes u for Skärholmen or Skarpnäck on the whole not quite zero (u ≈ 0). Most of the blocks in both of the suburban examples with low u (Skärholmen and Skarpnäck) consist of one single property. And when the properties are as large as a city block, when a city block = one property, u is always zero (since the sum of the inner lot boundaries = 0). In the special case of u = 0 we have as a result “zero urbanity”—one could state this simply, rhetorically, polemically, and didactically.

At this point—despite some results that at first glance may appear counterintuitive—you will have realized that there is a very strong and clear connection between the Urbanity Index and the urban experience. Urban areas with high u tend to work better socially, economically and culturally, and are experienced as more lively and dynamic than urban areas with low u. The truly important dividing line in the urban experience (socially, economically, culturally) runs neither between “buildings-along-the-street” and “buildings-in-a-park” or between low and high floor area ratios or even between center and periphery—the really important dividing line goes between a high and a low u. And since the Urbanity Index u reveals the big important socio-economic changes in our city planning history, it tells us more about how urbanity functions than what architectural form or degrees of floor area ratios or the center-periphery dichotomy are able to do. The Urbanity Index u in this respect provides us with a reliable and unbeatable measure of urbanity. As a result the notion of urbanity may therefore be defined as a certain Urbanity Index u, which may be proposed as u ≥ 1.

Lot and Property Hybrids

You can start calculating your own Urbanity Index values now, and it is easier than you may think: I have found that other more or less arbitrary outer circumstances, like for example the width of the street, need not be accounted for in my calculations in order for the results to be reliable and useful. I also usually disregard “holes” in the city block structure (parks, schools, and other large institutional buildings). Nor have I found that when I calculate the Urbanity Index that I need to account for the possibility of urban “contagion” between areas with differing u-index values that happen to be physically near each other. My evidence for this is anecdotal, I admit this, but a short physical distance to a city block with an Urbanity Index different than your own seems in the long run to have little to do with how a given city block will develop over time. A high-u city block, according to my calculations, may keep its high u-index value even if there is a low-u area close by, and a low-u area may keep its low u-index value even if the closest neighbor has a high u.

As a result, determining the limits of the area to be measured does not have to be complicated at all. On the other hand it is not always obvious how a given property line within the area of measurement should be classified. Dividing a city’s lot and property lines into only two categories (“inner”/“outer”) is, as been mentioned, a simplification, and when measuring and calculating u-index values one will always be faced with hybrids, especially with newer buildings. Nowadays it is common to have building developments whose property lines can neither be classified as clearly inner nor clearly outer. So how to deal with this? How do you calculate the Urbanity Index in ambiguous cases?

Even in these cases I have found that I can make it very simple for myself. I actually do not factor in lot and property hybrids at all when I calculate a u. For example, the boundary between two row house properties (with private yards) need not reasonably be considered as a clear-cut inner lot line if both row house owners also own shares of common areas (like surrounding common land) within the same development. The division into “private” row house properties appears in such cases to be fluid and not at all as definitive as one would expect in an area with high u. The boundary between a “private” row house property and a common area within a row house development cannot reasonably be considered to be a proper outer lot line. In the end there is only the outer boundary to be calculated, the outer boundary toward the street, which for a block-size row house development with common areas gives a very low u value (u = 0).

For the u-index, the boundaries between private yards in a row house development containing common areas are inconsequential. They are comparable to party walls between different apartments in a housing cooperative. It is the boundaries between properties (between different housing cooperatives) and not the boundaries between individual apartments within the same property (within the same housing cooperative) that are of significance when calculating the u-index.

Which is also the case with the many rental properties in Stockholm’s low-u suburbs that in recent years have been transformed into housing cooperatives. Many are disturbed by this trend, not least because the newly formed cooperatives began to build fences and gates in suburban environments that had been open and without fences for a long time, new fences and gates that are seen as denigrating, a distortion of previous architect generations’ visions of idyllic suburban living in delicate greenery, where neighborhood communities flourish without discernable property lines. Others are more positive to change, and see the transformation to housing cooperatives as the beginning of a more dynamic development in low-u areas where very little otherwise happens. The lack of clearly marked property boundaries, by the way, has always been more a source of irritation than an asset for those who in these fenceless suburban landscapes are constantly in conflict with neighbors one must share “semi-private zones” with. Good fences make good neighbors. Of course your newly formed housing cooperative shall erect an ugly fence. Of course you do not want me to allow my dog do its business in your backyard, especially if it now really is your backyard. But at the same time remember that for a genuine urban milieu to develop, these new fences in and of themselves, and these transformations of rental units to housing cooperatives in and of themselves change nothing in the long run—not as long as the properties are still as big (city block big!) and the u-index values are just as low.

Legislating Urbanity

I toy with the idea of having the Urbanity Index written into law. If say a u ≥ 1 was required for new construction, in the same way that elevator and fire safety has for many years been required by building codes, it would soon be apparent that the long-term socio-economic benefits of a property division requirement would be absolutely comparable with the long-term socio-economic benefits of elevator and fire safety requirements. I imagine that after the passing of such a law that Sweden’s municipalities could continue to plan entire housing areas all at once, that architects could continue to design entire housing areas all at once, that developers could continue to build entire housing areas all at once, and that the entire housing area could have one and the same owner. But the property owner in question would eventually sell off some of the large-scale project’s many individual buildings—which is easily done due to the required divisions of the project into smaller properties during the planning stage. The housing properties that are sold would soon begin to live their own lives; they perhaps eventually get renovated, or are demolished. New buildings are constructed on the demolished sites. And over time a large building project that was originally very unified in its appearance begins to show visible signs of the kind of diversity and variation that we normally associate with genuine urbanity. Large-scale hyper-rationalized projects, which are so common in Sweden these days, need not in this respect in and of themselves mean a bad urban prognosis—as long as property owners and developers accept not only elevator and fire security requirements, but also accept requirements for a reasonable Urbanity Index.

The Right

But how would the political parties regard such a compulsory law? To begin with, how would the right see it? Actually very favorably, I would imagine. Planning areas with very high u-index values (u ≈ 1) have historically appeared “naturally” only in plutocracies, i.e., in social economies with great respect for private property, in political systems where political power in the city resides with the capitally strong, property-owning, building-constructing bourgeoisie. With the introduction of universal suffrage some one hundred years ago, the non-property-owning, non-building-constructing great masses in Sweden also acquired actual power over the city’s properties and buildings. Since then, private ownership rights must often yield to majority decisions in democratically elected assemblies dominated by non-property-owning, non-building-constructing representatives. Since then, we all live in a post-urban era. Buildings are no longer regulated by individual property owners, in their own interest; they are regulated ultimately by the great masses, in the interest of the great masses. The spatially effective and explosively dynamic but at the same time socially ruthless urbanity of not only Oliver Twist’s London and Les Misérables’ Paris but also Strindberg’s Stockholm has all but disappeared—in keeping with the establishment of a more democratic playing field for city planning and housing construction. Which has also meant that high Urbanity Index values have been systematically replaced with low Urbanity Index values. All u-index calculations in fact predict the same kind of meager urbanity for our very latest large-scale housing areas as they do for historical examples like Skarpnäck or Skärholmen, since the Urbanity Index values are still always so low when we build today. Truly high Urbanity Index values do not arise (i.e. not any longer) by themselves. If the right in the future wishes to see more and larger property developments in a traditionally bourgeois, plutocratic (or at least semi-plutocratic) fashion, then this type of development must be made compulsory. For this reason, I would imagine, the right would welcome a law on the Urbanity Index with open arms.

The Left

So what about the left? How would the left regard a law that requires everyone to build, um, in a bourgeois manner? Actually very favorably, I would also imagine—if (I say if) it really becomes a question of required. Isaiah Berlin noted that the left is strongly affected by Jean-Jacques Rousseau’s vision about how the general will (la volonté generale) shall force (!) citizens to be free (forcer les citoyens à être libres). Since it seems to me that Isaiah Berlin was right in his analysis of the right’s and the left’s concept of freedom,3 I imagine that the left should be attracted to an urbanity that is no longer determined by market forces, that is no longer a component of a distasteful (for the left) free market economy, attracted to an urbanity in which citizens actually do not choose but rather are forced to enjoy all of the social, economic and cultural freedoms that an urban lifestyle offers, attracted to the thought of an urbanity as an expression of the Rousseauian forcing by the general will, even attracted to forcing-for-the-sake-of-forcing. A true democrat eschews urbanity, eschews a plutocracy’s uninhibited ruthless, unbridled urbanity, but the new kind of democratic, semi-plutocratic, restricted, contained, forced urbanity that I am proposing here, I would imagine, is not only politically possible, it is actually a desirable solution to many urban planning problems—for both the right’s and the left’s true democrats. So whether you are on the right or on the left, say Yes! to being forced, ennoble unto liberty this constraint,4 and with that—Abracadabra! Simple! The Circle is squared! Ta-dah! Isaiah Berlin and Jean-Jacques Rousseau stand side by side; two very different political ideals (“negative freedom” and “positive freedom”) are united into a productive and mutually loyal collaboration in the city, united by a compulsory legislation on the Urbanity Index.

Lessons Learned

But even without legislation (which we most likely will not be seeing any time soon) we can all benefit from the lessons that urbanity calculations and the urbanity definition u ≥ 1 provide us with:

The urbanity definition u ≥ 1 will hopefully get you to think once or twice in the future before deciding to combine several small properties into one new block-size property.

The urbanity definition u ≥ 1 explains why certain kinds of tax-funded investments in urban development (“renewal”) fail to give the social or economical or cultural results that politicians hope for (low u), while in other places urban development takes off on its own without any outside assistance (high u).

The urbanity definition u ≥ 1 teaches us that it is best to avoid the over-used descriptions “suburb-like” and “city-like,” as we are inclined to do in Sweden. Of course one uses “suburb-like” as a judgment about only a certain type of suburb, namely the kind of suburb that we—because of the Urbanity Index—can instead simply begin calling a low-u-area; and of course one uses “city-like” as a judgment about only a certain type of inner city area, namely the kind of inner city area that we instead can begin calling a high-u-area. But an inner city area with low u is also in the inner city, and a suburban area with high u is also in a suburb. There are suburbs that feel urban, and there are inner city areas that are completely lacking in urban qualities.5 So even if there often exists a really good reason to talk about urban problems in terms of center-vs.-periphery, one must also, if it is the issue of urbanity one wishes to address, make a distinction between center and center, and between periphery and periphery—in other words: make a distinction between a high and a low u.

Epilogue

The reliability of the Urbanity Index as a measure of urbanity must of course be tested, checked, and proven with a larger sample of examples than what has been discussed here. Both my urbanity formula (u ≥ 1) and my way of calculating property line hybrids (not at all!) might need to be adjusted in the future.6 But until then: Urbanity-can-be-defined-as-an-Urbanity-Index-value-that-is-greater-than-or-equal-to-one. This is and will remain a very reliable, practical and in every possible way excellent rule of thumb.


Essay originally published in Swedish in the Swedish architectural review Kritik, #32-December 2016:
Urbanitet, vad är det? eller Hur man räknar ut urbanitetstalet u

Many thanks to Johan Johansson and Lars Marcus for reading through my earlier drafts and for your invaluable comments.

English translation by Michael Perlmutter.

Illustrations

• Initial: the Urbanity Index u (typeface Baskerville, italic, lower case). Montage: Mikael Askergren.
• Something is not right. And I am not referring to the weightlessly floating gentlemen in bowler hats. René Magritte: Golconde (1953).
• Diagram/freehand sketch by Mikael Askergren. A building development is classified as urban if the ratio ∑property lineinner / ∑property lineouter ≥ 1.
• Four examples montage. The continuous buildings along the street of a typical city block in the Östermalm district of Stockholm are divided into several properties (here eleven property owners within the block), which differs from a typical city block development in Skarpnäck (with one single property owner). The four freestanding blocks of flats in a typical city block in the Gärdet district of Stockholm are each divided into several properties (two or three property owners per freestanding block, ten property owners within the city block), which differs from the blocks of flats in Skärholmen (with one single property owner). These examples are part of the reference material that I first used and based a discussion on, regarding the fear (!) of property lines on the part of architects and planners, in the article Horror limitis in the architecture magazine Kritik, Stockholm, #24, January 2015. Map sources: The Cadastral Index Map of Stockholm, scale 1:4000, published by the Land Registry Authority of the Stockholm Town Planning Office (1991). Montage: Mikael Askergren (2016). Aerial photos: Source1+2 Source3 Source4
• Fictive road signs “Urbanity” + “Urbanity Ends.” Montage: Mikael Askergren (2016). Compare these fictive road sign montages with the real road signs which inspired them: Source1 Source2
• “Lot and Property Hybrids” of the 1960s. Row house development containing common areas (children's playgrounds, private roads, parking, garages). Kv. Mjölnartorp (Streetblock “Mjölnartorp”), Djursholm, Sweden. Photo: Mikael Askergren (2016). Site plan from the public archives of the City of Danderyd, Sweden.
Jean-Jacques Rousseau (1712-1778)
Isaiah Berlin (1909-1997)

Footnotes

1 I first formulated the method for calculating the Urbanity Index u, and the definition of the phenomenon urbanity as u ≥ 1, in March 2016. As far as I can tell there is no precedent to my Urbanity Index: no one who has read earlier drafts of this article has mentioned that they recognized my method or any of my results anywhere else. Note that I write “Urbanity Index” (not “Urbanization Index”) since it is not migration from rural areas to larger cities (“urbanization”) that my “Urbanity Index” measures. Moreover, the Urbanity Index u shall not be confused with “U-value,” the heat transfer coefficient, which measures the insulation effectiveness of a building.

2 Compare Mikael Askergren’s Berlin: enväldets levande och demokratins döda stad (“Berlin: Autocracy’s Living and Democracy’s Dead City”), Arkitektur, Stockholm, no. 2-2011, concerning the Friedrichstadt district’s development from a relatively sleepy rural area (18th century) to hectic “hyper-urbanity” (early 20th century).

3 The right’s “negative freedom” is based on individualism, free will, and the absence of coercion from above. The left’s “positive freedom” on the other hand is defined from above, by the collective, over the individual, which by extension can lead to a situation where an individual who according to the group does not know what “is in his or her own best interest” can be forced to live in a way that the group believes will bring about personal freedom and power over one’s own life. Compare this with a current issue in Sweden, where the ruling Labor Party is proposing an obligatory quota of women on the boards of directors in Swedish companies. Women in the business sector (and on the right) are opposed to obligatory quotas. The left insists on quotas, insist on forcing businesswomen into more equality—for the best interest of those women, to emancipate them, to make them free—as those who advocate “positive freedom” would probably say.

4 From the Erik Johan Stagnelius poem “The Mystery of Sighs” (“Suckarnes mystär”, c. 1820): “… O Man! Wouldst thou learn life’s wisdom, / o, hear me then! The laws are two that rule / this life. Power to desire / is the first. Constraint to renounce / the second. Ennoble unto liberty / this constraint, and sanctified and reconciled, / over the orbiting planets of matter, / shalt thou enter the gates of honor.” (Translation by Robert T. Rovinsky in Forays into Swedish Poetry, Lars Gustafsson, University of Texas Press, 1978.)

5 Regarding new inner city developments that lack genuine urban qualities, compare Mikael Askergren’s Stadsbyggnad diskuteras (“Urban Planning Discussed”) in the magazine Arkitektur, Stockholm, no. 5-1992, which examines the new housing area Sankt Erik, in the Kungsholmen inner-city area of Stockholm. Urbanity Index calculations did not exist when the area was planned in the 1990s, but I challenge anyone to come up with an Urbanity Index u > 0 for the Sankt Erik area, despite the planning architect’s exaggerated rhetoric with promises of urbanity and pledges to “follow the dense and varied urban pattern” of Stockholm’s inner-city islands.

6 Two well-formulated examples of how both the Urbanity Value u and the definition of urbanity itself can be critically examined may be found in both appendices of the original Swedish version of this article; appendices containing excerpts from email conversations with Johan Johansson and Lars Marcus.

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