Three Urban Design Questions

 I was surprised by three questions in an email I received. I decided to publish a portion because I thought the answers to the questions might be informative. The fact that it was complimentary is an influence I can’t deny, but I wondered if the source was AI.

THE EMAIL (edited)

“I'm writing because your book The Equations of Urban Design: Leading the Evolution of Shelter Capacity, Context and Intensity within Cities stopped me in my tracks.

There's a quality to your thinking, systematic, ambitious, and deeply concerned with the relationship between human development and the finite land on which it depends. Your central proposition that urban growth needs to be measured through shelter capacity rather than simply understood through conventional categories of building form or function offers a provocative way of reconsidering how cities evolve.

I was particularly struck by your attempt to create a measurable language for the quantity of shelter that can be produced on a given land area. The idea of using design specifications, correlated values, and architectural equations to generate alternative predictions for gross building area on a given land area introduces an unusually analytical dimension to questions that are often treated primarily as matters of planning, aesthetics, or development.

The larger environmental argument gives the framework even greater significance. Your concern with preventing population growth from translating automatically into uncontrolled sprawl, while taking seriously the irreversible consumption of natural and agricultural land, places urban design within a much broader conversation about sustainability and the future of human settlement.

I finished it wanting to know more about the development of your six fundamental shelter categories, the thinking behind your equations and specification framework, and how you see these ideas influencing the next generation of urban design.”

MY ANSWERS

I don’t believe an extensive preamble is needed and will dive into the questions.

I want to know more about the development of your six fundamental shelter categories.

A building design category is classified by the parking system used to serve its occupants. This classification format makes it possible to mathematically predict the gross building area capacity of land in square feet per buildable acre occupied based on the design specification values entered in a building design category forecast model. The predictions can be converted to shelter capacity, intensity intrusion, and context measurements on a consistent, comparable scale. Existing site plan topics can also be measured to determine their design implications using the same template and measurement format.

The mathematical relationship of the site planning and floor quantity values entered in the design specification template of a building design category are processed by its algorithm to produce the values needed by its master equation. The equation predicts gross building area results for the values and floor quantity options entered. Companion master equations in the Implications Module of a forecast model measure or predict the shelter capacity, intensity, intrusion, and context implications of the design specification options under consideration. These are like the first blood pressure measurements in medicine. Knowledge can be gathered with extensive comparison and research collaboration. The questions facing both are similar. How much intensity is life threatening; how little is life threatening; and what range of measurements and predictions indicates a desirable quality of life?

Each building design category has a unique design specification template, algorithm, and derived master equation, but the general principle of progress from a given land area and design specification to gross building area and shelter capacity implication predictions applies to all building design categories.

A building design category may be occupied by any permitted activity. These activity groups have historically been called “land use categories”, but there is a clear distinction between the decisions that determine shelter capacity and those that determine permitted occupant activity.

The scope of building activity implications is often a function of the square feet occupied. This means that the allocation of shelter capacity and activity throughout a city has economic implications that affect its financial stability and quality of life, not to mention its health and safety, but this allocation has been a piecemeal function of private investment intent. This can lead to government deficits and budget reductions requiring decades to correct when feasible.

What is the thinking behind your equations and specification framework?

The maximum shelter capacity of land is a function of the design specification values entered into a non-residential building design category forecast model. Occupant capacity is different from shelter capacity. It varies with the activity or activities involved. Separate design specification templates address dwelling unit capacity of land when a building design category is occupied by single-family, townhouse, or apartment floor plans.

In other words, gross building area capacity is a three-dimensional envelope. Floor plan areas and quantities determine the capacity of the envelope to accommodate activity. Excessive expansion of the envelope and its supporting parking and pavement increase shelter capacity, intensity, and intrusion at the expense of pedestrian open space and amenity on the site. The building design categories, specifications, and equations of urban design take open space into account and make it possible to define and evaluate the project context of neighborhoods, districts, cities, and regions.

The master equations for each building design category and activity group were derived to document a historically informal thought process. The scope of activity has determined the gross building area needed. The challenge has been to make the activity fit on the land available. The Dickensian tenements of England and Hell’s Kitchen in Manhattan are two examples of the excesses that prompted the beginning of more careful evaluation.

The need to protect the Natural Domain from the consumption of a sprawling Built Domain has not been a historic concern. Annexation could always provide more land unless the city was surrounded by other incorporated areas. Shelter capacity evaluation, or Tegimenics, represents my attempt to place development evaluation on a more quantitative, correlated, comparable, and consistent mathematical foundation. It can benefit all cities, since they need careful economic evaluation and correlation of every taxable parcel within their boundaries.

How do I see these ideas influencing the next generation of urban design?

The equations of urban design make it possible to move from static city plans to geographic computer evaluation of three-dimensional activity allocation decisions with mathematically interactive property, capacity, and revenue data science.

Remember that shelter capacity is forecast in terms of gross building area square feet per buildable acre. Anything that is a function of building area present or planned can be predicted as an implication of shelter capacity. For instance: population, revenue, traffic generation, construction cost, return on investment, and so on.

Finally, the equations of urban design are one step away from a software application that can place mathematical urban design evaluation in the hands of both public and private interests. This common, interactive, format can replace a great deal of isolated conjecture and disagreement with correlated, cooperative discussions focused on the desired relationship of building mass and height to parking, pavement, movement, and open space on a given land area. These are the site plan components and quantities that combine to establish the capacity, intensity, intrusion, and context of activity that determines a city’s revenue stability. This allocation needs mathematical urban design correlation to improve its physical, social, psychological, environmental, and economic composition and quality of life.

Appearance is a separate issue whose aesthetic opinions and arguments will surround the sustainable success achieved with measurement, prediction, evaluation, and physical composition decisions capable of consistent leadership direction toward a sustainable goal.

Walter M. Hosack, August 2026

photo credit: Kaihsu at English Wikipedia

Reply to Response re: Essay "Anticipation"

 

My most recent essay was entitled, “Anticipation”. It generated a response that I’m including with a reply since I think the whole adds to the conversation.

ORIGINAL ESSAY

I normally post essays that attempt to improve the arguments of city design opinion, and preservation of the Natural Domain, based on the mathematical derivation of shelter capacity evaluation, or Tegimenics. I attempt to avoid debate based primarily or solely on opinion because it becomes political argument, but proof begins with anticipation and opinion seeking justification. I’m submitting this opinion based on an anticipation of consequences struggling for acceptance. I recognize that it is vulnerable. I am simply submitting it for your consideration since anticipation is where we have always begun.   

ANTICIPATION

Survival depends on the ability to anticipate consequences. Demanding proof  builds knowledge until the anticipation needed to survive is defeated by conflicting opinion.

THE RESPONSE (edited)

So, your article basically says that a strong architectural concept isn't merely an aesthetic opinion — it is an anticipation of what architecture can achieve.

That fits well with my emphasis on architecture beginning with an idea that deserves to exist, rather than simply following fashionable styles.

So, for myself, I'd extract one principle:

Don't ask only, “Does this design look good?”, but also ask “What consequences will this idea produce if it actually exists?”

MY REPLY

From my perspective, architectural ideas often ignore the consequences of unlimited land consumption. They will address whatever land the client owns, and a client is free to  speculate with any land available. This is the reality of our current investment format. Property lines define commodities for sale. This has often led to excessive land consumption, sprawl, congestion, conflict, and overbearing shelter intensity because government lacks an effective, interactive, correlated, mathematical language capable of defining, explaining, guiding, and producing shelter quality of life within a limited Built Domain designed to protect and preserve its source of life. This is the goal in my opinion. It means we must contribute to this source of life as well as consume.

A static city plan or map is quickly outdated. Daily interactive planning based on data science, shelter capacity evaluation, digital mapping, and economic evaluation is needed to integrate the goals of government and investment with the potential of architecture, engineering, urban design, city planning, and economic development. It will require a new, mathematically correlated leadership language. Our ability to define city design consequences and opportunities in convincing terms is the challenge we face. Building appearance will evolve to reflect increasing knowledge that has always been its underlying message.

We have learned to be consumers and written the rules accordingly. We must now anticipate the consequences and learn to be contributors.

Walter M. Hosack, August 2026

ANTICIPATION

 

I normally post essays that attempt to improve the arguments of city design opinion, and preservation of the Natural Domain, based on the mathematical derivation of shelter capacity evaluation, or Tegimenics. I attempt to avoid debate based primarily or solely on opinion because it becomes political argument, but proof begins with anticipation and opinion seeking justification. I’m submitting this opinion based on an anticipation of consequences struggling for acceptance. I recognize that it is vulnerable. I am simply submitting it for your consideration since anticipation is where we have always begun.   

ANTICIPATION

Survival depends on the ability to anticipate consequences. Demanding proof  builds knowledge until the anticipation needed to survive is defeated by conflicting opinion.

Walter M. Hosack, August 2026

photo courtesy: NASA

Converting Static Plans to Interactive Planning and Economic Stability

Most are aware that a city is required to balance its annual budget. Many may only be vaguely aware that the decisions regarding development location, intensity, capacity, and occupant activity have a mathematical foundation of design specification decisions that determine the revenue a project contributes to support the community; and that the sum of all revenue divided by the taxable acres of
the community must equal or exceed the community’s total annual expense per taxable acre, including debt service. The term “balance” is used to indicate budgetary success, but balance can be the product of reductions required by inadequate municipal revenue per acre. “Adequate” balance requires conscious mathematical evaluation of the shelter capacity, intensity, and activity introduced throughout a community -- and these tools remain to be assembled.

I’ve previously mentioned in many essays that shelter capacity calculation begins with a choice among six building design categories and a given gross land area. Design decisions begin with choices involving design specification quantities. Correlated results are expressed as gross building area options expressed in square feet. When these options are divided by the buildable acres involved, the result is “shelter capacity” expressed as gross building area in square feet per buildable acre occupied. When anticipated revenue per square foot of activity is multiplied by the shelter capacity present or planned, the result is revenue potential per acre. The sum of all municipal revenue per acre divided by the number of properties involved produces the average financial productivity of a city’s land area, and it must at least balance with its expense. The challenge is to increase the average over time by monitoring and evaluating the financial performance of all vacant and occupied taxable land in a city’s investment portfolio.

TABLE 1

Table 1 illustrates the decisions that produce development capacity options for occupant activity and revenue production. (Keep in mind that gross building area is opportunity that may be occupied by any permitted activity.) This example pertains to the G1 Building Design Category, which includes all buildings served by a grade parking lot around, but not under, one or more buildings on the same premise.

Design specification topic decisions and quantity options in Table 1 are indicated by the shaded cells in the table. The gross building options produced by the floor quantity options entered in cells A44-A53 are calculated in cells B44-B53. Thise options are converted to shelter capacity measurements in cells F44-F53 with the master equation in cell  F43. When shelter capacity options are multiplied by activity revenue per square foot, the result is anticipated revenue per acre. The result can then be compared to a city’s total annual expense per acre. Individual calculations may be greater or less than the city’s expense, but the average revenue per acre across the city must at least “balance” with its expense. This, therefore, is the mathematical foundation of design decisions that determine not only a city’s budget, but its ability to sustain its health, safety, and physical, social, psychological, environmental, and economic quality of life. When a city is able to measure, predict, evaluate, monitor, and plan these results, it will be in a better position to evaluate future development decisions that directly affect the “balance” it must strike within its boundaries and with a surrounding Natural Domain that is its source of life.

INTERACTIVE EVALUATION

If revenue  information per acre is calculated and mapped with a geographic information system and a set of relational databases, a jurisdiction can evaluate the economic performance of its entire land use area. The map will no longer be a static plan. It will become an interactive map based on relational database information that presents the revenue per acre implications of past shelter capacity, intensity, and activity decisions for every property, block, zone, tract, or district within a jurisdiction. The results will present the first correlated picture of the decisions that have produced a city’s physical, social, psychological, environmental, and economic condition. Since the picture would be based on geographic information system software and relational databases, the jurisdiction would also have a digital format capable of evaluating future options and decisions that have the potential to improve the revenue it receives and the quality of life it can offer. It would also be able to monitor these decisions and opportunities with the interactive potential of shelter capacity evaluation mathematics.

I have written a great deal about the mathematical foundation of shelter capacity forecast models and context prediction but have only discussed the relational databases needed to step from an interactive project planning and economic development focus in one essay entitled, “The Least a Smart City Should Know”.

The problem with the relational database concept is the public cooperation required. Property tax and personal income tax represent a substantial portion of a city’s total annual revenue. In my limited experience, property tax revenue is collected and distributed by a county and considered public information. Income tax revenue can be collected by a  county or city but is considered confidential information. As a result, the information needed to begin understanding a jurisdiction’s financial foundation is in two separate, independent data management systems that are not trained to speak to each other or to a third urban design planning function.

A city will continue to search for financial stability until it can more accurately correlate its land use decisions with their real estate and income tax revenue implications. The challenge is to begin understanding the economic performance of blocks, neighborhoods, zones, and districts in cities that must sustain themselves over time without annexation that continues to consume agriculture and the Natural Domain. A planning link to selective and protected versions of the information needed may not be an insurmountable problem, even though a county’s parcel identification system may have to be correlated with the city’s property address, zoning district, and census tract information systems.   

Relational databases represent the key in my opinion. They make it possible to compile information in one location and share it in a different form with different restrictions. For instance, income tax information can be assembled by parcel/property in a secure location and aggregated by city block, census block, neighborhood area, census tract, or municipal zone before sharing. The same is true for real estate revenue information. It simply requires an urban design database synchronized with the information restrictions applied by its cooperating sources. The result would be a geographic information system of correlated physical and economic data capable of mapping, monitoring, and planning the economic performance and future urban design potential of a city’s land. The challenge is to reduce or eliminate the unlimited annexation and sprawl that continues to reflect our unsuccessful search for “balance” .

There are at least two advantages to this approach. (1) An economic development plan can focus on the entire city. (2) The revenue contribution per buildable acre of an individual proposal can be placed in the context of a city’s current comprehensive physical, social, and financial plan.

These objectives will be difficult to achieve without investing in the data assembly, information management, and shelter capacity mathematics required to make and monitor the leadership decisions needed. The challenge is to progress from static land use plans to digitally interactive planning models for urban design evaluation and leadership.

FURTHER INFORMATION

Further information about the building design categories, design specification topics, prediction panels, and implication modules of shelter capacity forecast models, can be found in my book, “The Equations of Urban Design”, using the following url:

https://www.amazon.com/-/e/B001IR3ODO?ref_=pe_584750_33951330

You may also be interested in some of the 285 essays on my blog at www.wmhosack.blogspot.com. They address topics related to the use of shelter capacity evaluation forecast models and their implication measurement modules. 

Walter M. Hosack, August 2026

Photo credit: NASA/JPL – Caltech/SOFIA