Seeking Economic Stability Within a Limited Built Domain

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

Vulnerable Open Space

 

Open space is intended to provide unobstructed access to light, air, and ventilation in the world of architecture, landscape architecture, urban design, and city planning. It was a hard-won policy established over centuries and prompted by the Dickensian tenements of England, Hell’s Kitchen in Manhattan, and a social movement that fought during the period with the concept of freedom and property rights for the concept of public health, safety, and welfare.

THE BUILT DOMAIN

In the Built Domain, open space is either paved or unpaved and used to serve either pedestrian, vehicular, or infrastructure activity. For instance, plazas, squares, sidewalks, and miscellaneous pavement serve pedestrian activity. Parking lots, parking structures, and right-of-way pavement serve vehicular activity. Utility easements serve life support systems. All provide access to light, air, and ventilation by separating building mass and height, but the similarity ends with the degree of intensity introduced.

Parking lots have been a dilemma. They provide access to light, air, and ventilation but do not separate the pedestrian from vehicular mass and movement that combines with building mass and height to create increased physical intensity. They have often been justified in the yard areas of non-residential areas on this basis. Justification occurs because pedestrian open space decreases the core area of a parcel that is available for parking and building cover.

In other words, pedestrian open space allocation decreases the gross building area potential of a parcel. This potential can only be recovered with increased floor quantity until the horizontal expansion of parking reduces the core area remaining for a building footprint that can be multiplied by increased floor quantity.

Vehicular open space abounds. The challenge is to provide open space for pedestrian benefit woven over many parcels without excessively compromising the shelter capacity and economic potential of land. It is an urban design challenge that can only be met with improved mathematical evaluation.

The shelter capacity and activity placed on land determines its economic value to both public and private interests. Then considering the G1 Building Design Category in particular, the private sector temptation is to maximize shelter capacity by eliminating pedestrian open space while increasing parking and floor quantity to increase intensity that often degrades context. The public sector challenge is to mathematically define its physical, social, and economic objectives with urban design mathematics and form that balances the economic yield from shelter capacity and activity with the pedestrian open spaces needed to encourage a desirable quality of life in a limited Built Domain.

SHELTER CAPACITY EVALUATION

I’ve used Table 1 to explain shelter capacity evaluation, or Tegimenics, on many occasions for the G1 Building Design Category. I’m including it here to explain what I mean by the term “mathematical evaluation of shelter capacity” based on the G1.L1 Building Design Category. This category applies to all buildings with a surface parking lot around but not under the building on the same premise, excluding land area reserved for future expansion. This category applies when gross land area is given and gross building area options for the land given are to be found.

The Land Module in Table 1 begins with the gross land area given in cell F3. The remaining gray cells in the module identify percentage quantities measured or estimated that must be subtracted from the gross land area given to find what is called “shelter area remaining” in cell F17. This land is reduced by site limitations that continue to be reduced by the land area percentage estimates entered in the gray cells of the Core Module. These reductions produce the core land area remaining in cell F33 for building cover and parking lot cover.

The optional values entered in gray cells A35 and A36 of the Core Module identify the grade parking requirements involved. The values entered in gray cells A44-A53 represent the floor quantities under consideration.

The master equation in cell B39 is used to predict the gross building area options calculated in Col. B44-B53. These options rapidly decline as floor quantity increases because building cover in Col. C44-C53 declines as parking lot areas increases in Col. D44-D53. The result is declining building cover area potential per floor. When increasing floor quantity is multiplied by declining building cover area per floor  in a limited core area, the result is a declining increase in gross building area potential per floor.

This is a unique characteristic of the G1 Building Design Category. It indicates that any floor quantity greater than 5 produces rapidly declining gross building area potential in return for the expense encountered. I have strayed from the point of this essay in this paragraph, and have made this point in the past, but couldn’t resist reemphasizing the observation.

The shelter capacity, intensity, intrusion, and context implications of the gross building area options in Col. A44-A53 are measured in the Implications Module of F44-J53 using the master equations in row F44-J44. However, these measurements will have little meaning until many existing conditions are measured, compared ,and evaluated to build a library of reference knowledge that I’ve christened Tegimenology.

Returning to the point, the master equation in cell B39 shows that the core area found in cell G33 yields gross building area potential for the G1 Building Design Category in cells B44-B53 when multiplied by the coefficient (af) / (a + (fs)). The core area of any parcel can vary widely based on the values entered in the gray cells of the Land and Core Modules in Table 1, but I am singling out the unpaved open space value entered in cell F11 because it is a pivotal, and often ignored, factor in site planning design that diminishes the gross building area potential, shelter capacity, and profitability of land. It combines with miscellaneous pavement such as plazas and terraces however, to reduce the pedestrian intensity introduced by building mass, parking, pavement, and vehicular movement.

Adequate pedestrian open space throughout a city remains a contentious urban design issue as well as a project planning issue because urban economics is involved. The same is true for vehicular parking. Both affect the profitability of land; its revenue potential; and its contribution to a city’s quality of life; but neither has come close to a consensus over the quantity objectives that need to be pursued because comprehensive mathematical evaluation has not been feasible.

Table 1 shows that the 30% unpaved open space provision in cell F11 and the grade parking requirements in cells A35 and A36 have contributed to a five-story gross building area forecast of 28,264 sq. ft., a shelter capacity of 16,262 sq. ft. per buildable acre, an intensity of 1.138, an intrusion of 1.0, and a context reading of 2.138. The intensity, intrusion, and context readings, however, are like our first blood pressure readings. They have little meaning without comparison to additional existing measurements and evaluations.

The shelter capacity prediction of 16,262 sq. ft. per buildable acre has greater immediate use. If the intended occupant activity has a revenue potential of $1.00 per sq. ft., the project has a revenue potential of $16,262 per buildable acre. Comparing this to a city’s total average annual expense per taxable acre would indicate the project’s ability to contribute to a balanced budget, and its value to an economic development plan.

Table 2 illustrates what happens when the unpaved open space value in cell F11 of Table 1 is increased to 40% and all other values remain constant. In this case the core area in cell F33 declines to 43,607 sq. ft. and the 5-floor gross building area prediction declines from 28,264 sq. ft. to 24,226 sq. ft. Shelter capacity in cell  F48 declines to 13,939 sq. ft. per buildable acre and projected revenue would decline to $13,939 per buildable acre from $16,262.

Table 3 illustrates what happens when the parking requirement (a) in cell A36 is increased to 300 square feet of building area permitted per parking space from 250 and all other values from Table 2 remain constant. In this case the core area remains 43,607 sq. ft. and the 5-floor gross building area prediction increases to 28,264 sq. ft. Shelter capacity in cell F48 increases to 16,263 sq. ft. per buildable acre and projected annual revenue increases to $16,263 per buildable acre from $16,262.

This exercise is intended to show a few of the trade-offs involved when mathematical shelter capacity evaluation, or Tegimenics is used to evaluate urban design decisions and economic development opportunities. It has illustrated the impact of open space, parking, and floor quantity decisions. These are just few of those represented by the values entered in the gray cells of Tables 1, 2, and 3. I have singled them out to ask a question. Is pedestrian open space woven throughout a city a priority? It reduces shelter capacity and parking potential unless other building design categories and floor quantities are introduced. But does the concept of a public right to “welfare” mean “quality of life”, and can it be defined by evaluating the implications of shelter capacity, intensity, intrusion, and context measurements, predictions, and leadership decisions?

CONCLUSION

A change to any one or more of the gray cell decisions in Tables 1, 2, and 3 would change the gross building area range of possibilities and their implications. In fact, the implications presented are just a few of the many that can be predicted from a building design category forecast model, and the possibilities expand when all six building design categories are considered.

GLOSSARY

Built Domain:                             Land used for the Shelter, Movement, Open Space, and Life Support Divisions in a city’s Urban and Rural Phyla.

Urban Phyla:                               Land devoted to shelter, movement, open space, and life support in areas not devoted to agriculture.

Rural Phyla:                                 Land devoted to shelter, movement, open space, and life support in areas devoted to agriculture.

Natural Domain:                       The planet’s surface remaining after the Built Domain is subtracted.

Project Core Area:                    The site plan area remaining for building cover and parking cover after all other quantity requirements are subtracted. (CORE = BCA + PCA)

Project Shelter Capacity:      The gross building area present or planned divided by the buildable acres occupied, excluding future expansion area. (SFAC = GBA / BAC)

Project Intensity:                       Project shelter capacity times the impervious percentage present divided by 10,000. (INT = (SFAC * IMP% / 10,000))

Project Intrusion:                      The floor quantity present or planned divided by 5. (INTR = f / 5)

Project Context:                        Intensity plus Intrusion. (CTX = INT + INTR)

Project Revenue per Acre:    Revenue present or planned per gross building square foot times the shelter capacity per buildable acre. (REVAC = REVSF * SFAC)

BUILDING DESIGN CATEGORY CLASSIFICATION

(G1) All buildings served by a surface parking lot around, but not under, the building, excluding land reserved for future expansion.

(G2) All buildings served by surface parking around and/or under the building, excluding land reserved for future expansion.

(S1) All buildings served by adjacent parking garage levels, spaces, and auxiliary surface parking that consume a portion of the core land area available on the same premise.

(S2) All buildings and auxiliary surface parking served by an underground parking garage within the buildable land area of the premise.

(S3) All buildings and auxiliary surface parking served by a parking garage below the building within the core land area available on the same premise

(NP) All buildings not served by surface or structure parking on the same premise.

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, July 2026

SEEKING BALANCE - The Principles of Shelter Capacity Evaluation

 

This is a companion to the essay I recently published entitled, “Axioms and Economic Fundamentals of City Design”. In hindsight, it should have been written first, but the problem with ideas is that they rarely occur in order, at least for me.

1)      We live on a planet in a Built Domain constructed from the resources of its Natural Domain.

2)      We build shelter in the converted Built Domain to survive.

3)      The Built Domain expands to serve population growth by consuming land in the Natural Domain and agriculture in its anatomy.

4)      The Built Domain contains Urban and Rural Phyla. Both include Movement, Open Space, and Life Support Divisions that serve a Shelter Division.

5)      Building classification by parking system establishes a foundation for measurement and prediction of shelter capacity options for any given land area.

6)      We cannot plan for the limited use of land for shelter until we can accurately measure and predict the shelter capacity spectrum of options.

7)      All buildings used to shelter our activity fall into one of six building design classification categories, regardless of appearance:

a.      G1: All buildings that consume a portion of the core land area and are served by a surface parking lot around, but not under, the building on the same premise, excluding land reserved for future expansion. (Core land area is site plan remaining for building and parking cover after all other demands and liabilities are subtracted.)

b.      G2: All buildings that consume a portion of the core land area and are served by a surface parking around and/or under the building on the same premise, excluding land reserved for future expansion.

c.      S1: All buildings served by adjacent parking garage levels, spaces, and auxiliary surface parking that consume a portion of the core land area on the same premise.S2 All buildings and auxiliary surface parking served by an underground parking garage within the buildable land area of the premise.

d.      S2: All buildings and auxiliary surface parking served by an underground parking garage within the buildable land area of the premise.

e.      S3: All buildings and auxiliary surface parking served by a parking garage below the building within the core land area of the same premise

f.        NP: All buildings not served by surface or structure parking on the same premise.

8)      A building design category may be used to shelter any permitted activity in an activity group (generally referred to as a land use category) such as, but not limited to, the following:

a.      Residential

b.      Commercial

c.      Industrial

d.      Institutional

9)      The gross building area potential of a building design category on a given land area depends on the information entered in the Design Specification Template of its forecast model.

10) A gross building area forecast or measurement in square feet (GBA) divided by the buildable land anticipated or occupied in acres (BLAC) is a measurement of the  shelter capacity of the land utilized (SFAC). In other words, SFAC = GBA  / BLAC.

11) The spectrum of shelter capacity measurement ranges from excessively low to excessively high, and not all measurements and predictions are desirable.

12) A shelter capacity measurement has measurable intensity, intrusion, and context implications based on consistent implication equations included in every building design category forecast model.

13) Implication measurements are like blood pressure readings. They can be compared and evaluated to build knowledge regarding the physical, social, psychological, environmental, and economic results produced.

14)  The acquisition of shelter capacity knowledge depends on a consistent measurement and evaluation research program. (For instance, the first blood pressure readings were only the beginning of shared evaluation and comparison that led to medical knowledge.)

15) Implication measurements have been referred to as Tegimenic measurements after the Latin word for shelter, tegimen.

16) Tegimenic knowledge, or Tegimenology, can be used to guide leadership decisions that affect our ability to provide land for shelter in a Built Domain defined to protect its source of life, the Natural Domain.

17) In other words, shelter capacity evaluation, or Tegimenics, is a mathematical method of measuring or predicting the shelter capacity of land and measuring the human implications of these decisions.

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, July 2026

photo credit: Jean Poussin

 

Axioms and Economic Fundamentals of City Design

 

I’d like to begin with what I believe are a few axioms of city design.

1)      A building produces revenue per square foot. The amount
produced is a function of building area, condition, and occupant activity.

2)      The total revenue from all building occupant activity, divided by the gross building area in sq. ft., equals the average revenue produced per sq. ft.

3)      The total revenue from all building occupant activity divided by the buildable acres occupied equals the revenue produced per acre.

4)      Gross building area divided by the buildable acres occupied equals gross building area per buildable acre, or shelter capacity.*

5)      Shelter capacity times total average revenue per sq. ft. equals revenue per acre occupied.

6)      Shelter capacity times total average revenue planned per building sq. ft. determines the revenue per acre anticipated.

7)      The shelter capacity, activity, and condition distributed on acres throughout a city determines its economic stability. (These acres can easily be squandered for underperforming shelter capacity and activity when these relationships are not part of a city’s planning information and shelter capacity evaluation system.)

8)      The sum of all annual revenue produced in a city divided by its total taxable acres must equal or exceed a city’s total annual expense divided by its taxable acres.

9)      A city that does not know the revenue potential per building sq. ft. of various land use activities cannot calculate the economic implications of shelter capacity, intensity, and activity options. (This means it is inadequately prepared to plan and adjust for the distribution of shelter capacity and activity needed to produce annual revenue equal to or exceeding its annual expense per acre.)

10) The distribution of shelter capacity, intensity, activity, and condition throughout a city determines its physical context, economic stability, and social, psychological, and environmental quality of life.

NARRATIVE

From my experience, a land use plan does not consciously distribute shelter capacity and activity to produce municipal revenue per taxable acre equal to a city’s total annual expense per taxable acre. Economic growth depends on the decisions of private investment, annexation, and sprawling consumption of agriculture and the natural domain. It is a random approach to economic stability with an unending appetite.

AN ALTERNATIVE

Axiom 8: The sum of all annual revenue produced in a city divided by its taxable acres must equal or exceed a city’s total annual expense divided by its taxable acres.

Existing economic performance can be calculated at the parcel level when its shelter capacity is measured and multiplied by its occupant revenue per sq. ft. When the result is divided by the acres occupied, the result is the revenue per acre produced by the address involved. The sum of all taxable parcel calculations divided by the total taxable acres involved yields the revenue productivity of a city’s taxable land per acre. This productivity can then be compared with a city’s total average annual expense per acre to monitor and plan for its future with informed economic development planning.

Planned economic performance can be calculated at the parcel level when a shelter capacity objective for the parcel is multiplied by the anticipated occupant revenue per sq. ft. When the result is divided by the acres occupied, the result is the planned revenue per acre that can be compared with a city’s total annual expense per acre.

The comparison between city expense and revenue per taxable acre is a bottom line comparison that I don’t believe cities are prepared to compute or monitor. They lack the relational databases, activity revenue information, and shelter capacity evaluation science required to adequately plan for the balanced distribution of shelter capacity and activity needed. This will continue as long as a land use plan remains a map and a zoning ordinance is used to arbitrarily dictate the form that emerges without considering its economic implications. The resulting budget deficiencies and fear of becoming “land-locked” have prompted continuing annexation and sprawl seeking to produce new revenue from new land. It often proves inadequate because the action is not mathematically correlated with the capacity, activity, intensity, and context results that determine the economic implications of the leadership decisions involved.

FURTHER INFORMATION

Further information can be found among the 285 essays on my blog at www.wmhosack.blogspot.com.

These essays have contributed to my book, “The Equations of Urban Design” that can be found using the following url:

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

The essay, “The Least a Smart City Should Know”, may be of particular interest and can be found using the following url:

              https://wmhosack.blogspot.com/2018/02/the-least-smart-city-should-know.html

Walter M. Hosack, July 2026

____________________________________

*Shelter capacity options for any given parcel can be predicted with the templates of Shelter Capacity Evaluation, or Tegimenics. Existing shelter capacity can also be measured using the same template parameters to determine a parcel’s current shelter capacity, intensity, context, and revenue contributions to a city’s target objective per acre.

Walter M Hosack, July 2026

Shelter Supply, Demand and Capacity

 

My work has focused on predicting the shelter capacity, intensity, intrusion, and context implications of correlated site planning and floor quantity design decisions at the cellular (parcel) level of urban anatomy -- because the shelter capacity of land within limited geographic areas will define our ability to shelter growing population activity within contained areas designed to coexist with their remaining source of life, the Natural Domain. As a result, the building classification system and template format of standardized design specification topics derived can also be used to measure the template topics of existing shelter projects to determine their implications for comparison.

POPULATON GROWTH

Population growth seeking shelter for increasing activity is the engine that drives all urban and rural construction. This engine will continue to consume agriculture and our source of life, the Natural Domain, until we realize the issue is much larger than land use compatibility. Ensuring compatibility simply produces an expanding Built Domain of metastasizing shelter cells attempting to consume their source of life.

SHELTER CAPACITY

Tegimenics, or shelter capacity evaluation, is based on building design classification categories and evaluation of template design specifications that define options, are correlated to predict their implications, and compared to existing conditions measured with the same template yardstick. It is one way to build the knowledge and credibility needed to argue for adequate shelter within sustainable, symbiotic limits.

The goal, in my opinion, is to provide shelter for the many activities of growing populations within geographic limits defined to protect their quality and source of life. We cannot pursue this at the present time without the templates, algorithms, and master equations needed to measure the shelter capacity of land and evaluate the lifestyle implications of development and redevelopment decisions with improved comparative knowledge.

Shelter capacity is gross building area present in square feet per buildable acre occupied. The amount that can be provided per buildable acre is a function of the land remaining for building cover and parking after all other present or planned pavement and open space areas are subtracted. I’ve called this the “core area” remaining. The mathematical relationship between parking requirements and floor quantity options in the core area determines the building cover, or footprint area remaining for shelter in square feet. When floor quantity options are multiplied by the footprint available, the result is the gross building area options present or planned. Gross building area is the raw material of shelter formation. It can accommodate any permitted activity and is served by a city’s movement, open space, and life support systems. Fortunately, gross building area, shelter capacity, intensity, intrusion, and context can  be measured and/or predicted with the equations and templates of urban design.

The templates that use these equations to forecast and/or measure the implications of shelter capacity are listed in Table 1. Explanations for each chapter are presented in my book, “The Equations of Urban Design”. It can be found at the following url:

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

COMPARISON AND EVALUATION

The results predicted or measured using the templates of shelter capacity evaluation are comparable because they are based on the same standardized template of requested quantity measurements. This establishes comparison and evaluation as a quantitative foundation for the pursuit of increased knowledge.

The optional design specification values that produce shelter capacity, intensity, intrusion, and context are not all desirable. The challenge will be to identify those capable of sheltering the activities of increasing populations within limited geographic areas designed to protect both their quality and source of life.

IMPLICATIONS

Gross building area is shelter that may be occupied by any permitted activity. The distribution of shelter capacity and activity throughout a city establishes the physical intensity, intrusion, and context of its social, psychological, environmental, and economic quality of life. This distribution can no longer be left to chance if we are to have any chance of reconciling a city’s economic foundation with the planet’s capacity to sustain life.

BUILD YOUR OWN

The template examples in each chapter of “The Equations of Uban Design” display all equations needed to reproduce the template format. Producing your own will give you the ability to evaluate design quantity decisions and correlate the shelter capacity of land with its economic potential, as well as its context and quality of life implications based on the comparative knowledge acquired.

The last pages of each chapter in “The Equations of Urban Design” contain the derivation of the master equations used by each template to predict gross building area or buildable land area options from the mathematically correlated design specification values entered. The capacity, intensity, intrusion, and context implications of these measurements or predictions are calculated in each column of each template’s Implications Module for consistent comparison and evaluation. The implication equations involved are noted at the head of each implication column.

CONCLUSION

I believe it is a self-evident fact that every herd on the planet is subject to the planet’s unwritten law of limits, and that it grows until it exceeds these limits. We are no different, but we are the only herd given the ability to anticipate these limits and act accordingly. It means, however, that we must accept the challenge before we antagonize a planet that does not compromise with ignorance.

Walter M. Hosack, July 2026

NOTE: Table 1 is an improvement of the Table of Contents in "The Equations of Urban  Design".

The Distinction Between the Terms "Architecture" and "Planning"

 

 

This started as a response to a comment regarding a topic within the first phase of my essay, “The Nine Phases of Architecture”, but has evolved to address the difference that I perceive between the terms “architecture” and “planning” within the architectural profession. The statement was:

“Every time you engage a client, remember the simple premise of what a successful market is: it boils down to value communication.”

The nine architectural phases can be found at the url:

https://wmhosack.blogspot.com/2025/05/

My response, however, became far more general as I thought about the client acquisition and design stages of architecture in relation to the more time-consuming phases of contractual definition and construction observation.

Architecture involves the mental process of "correlation" required to solve complex problems and relationships regarding shelter for our activities and survival; but it has limited planning and design to individual project commissions based on its contractual obligations, in my opinion. Urban design for blocks, neighborhoods, districts, cities, and regions has been more of a dream than reality limited by the multiple ownership involved and the lack of an adequate leadership language that can measure results, conduct evaluation, form conclusions, and lead others with a consistent mathematical language  as the basis for knowledge formation.

Architecture has been limited by the time required for the contractual definition of a project solution and the observation of its construction progress, as well as its client contract. Unfortunately, the effort has contributed to sprawl because growth limits have been promiscuously expanded with annexation and architecture has been limited by the property lines of its client.

In the future I believe we must build shelter for survival in consciously limited geographic areas on a planet that does not compromise with ignorance. The goal is to separate a parasitic Built Domain from the source of life it threatens to consume – Agriculture and the Natural Domain. It remains to be seen if we can define the shelter needed while respecting the ecology involved. The effort needs expanded architectural, urban design, and planning authority, but this will not happen without a more credible leadership language.

I have derived the equations of urban design and incorporated them in forecast models to measure, evaluate, and predict the shelter capacity of land and its context implications based on the building design classification chosen. The intent of this leadership language is to establish the measurement foundation needed to build knowledge regarding the shelter capacity options associated with land. In my opinion, we cannot lead until we can accurately measure and evaluate the implications of these design decisions. I have discussed this in many essays at my blog, www.wmhosack.blogspot.com and have comprehensively discussed the opportunity in my book, “The Equations of Urban Design”. The url to all my books, including "The Equations of Urban Design" is:

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

I have had the temerity to call the search for shelter knowledge Tegimenics and the future accumulation of knowledge, Tegimenology. My intent has been to derive a leadership language of shelter capacity evaluation for Tegimenics and Tegimenology that can be used to build knowledge and guide the performance of many toward the symbiotic relationship implied by the term “steward”. 

Walter M. Hosack, May 2026

Walter M. Hosack - Complete List of Essays to Date

 

yr/month

10.10 Examining Architecture Part 1

10.10 The Disorganized Zoning Ordinance

10.10 The Limits of Shelter Capacity

10.11 The Variance Contradiction

10.9 Replacing Density

10.9 The City is a Farm

11.1 Hidden Implications Design Decisions

11.1 Strategy is Missing from Economic Development

11.10 Citizen Participation is not Leadership

11.10 City Design with Space

11.10 Design for Survival

11.10 Education

11.10 Education Preamble

11.10 Pitch and Catch

11.10 Predict Shelter Options within a Limited Built Domain

11.10 Protecting the Planet

11.10 Talent and Leadership

11.11 A New Language for Architecture & City Design

11.11 Strategic & Tactical Architecture

11.12  Improving the Argument for Architecture & City Design

11.12 A Tool for Containing Sprawl

11.12 An Overlooked Threat to the Family of Man

11.12 Conceptual Design & Architectural Scope

11.12 Land is a Critical Design Element

11.12 The Public Benefit of Architecture

11.2 A Tool for Containing Sprawl

11.4 Design Specs & Shelter Intensity

11.4 Parking Lot Design Implications

11.5 Dwelling Unit Design Implications

11.6 Measuring Design Excellence - Sullivan & Wright

11.7 The Symbiotic City

11.8 Symbiotic Architecture

11.9 City Design for Economic Stability

12.1 City Design Synopsis

12.1 City Design-Urban Design-Architecture

12.1 Context Capacity & Intensity

12.1 Examining Architecture Part 2

12.1 Form Follows Invention

12.1 Logic & Knowledge in Design

12.1 Parking Variances - Glimpses into the Future

12.1 Population and Intensity

12.1 Questions About City Planning & Architecture

12.1 Recalling Michelangelo

12.1 Shelter, Survival and Design

12.1 Sustainability

12.1 Vitruvius Revisited

12.10 Influence of Design Decisions

12.10 Quantifying Intuition

12.11 The Built Domain

12.2 A Common Imperative

12.2 Intensity Will Become a Measurement for Survival

12.2 The Problem with City Planning

12.2 What is Architecture

12.3 Introduction to Intensity

12.3 Recalling Linnaeus

12.3 The Symbiotic Goal

12.4 John Muir & Architecture

12.4 Response to The Problem with City Planning

12.4 Taking the Pulse of Architecture

12.5 The First Priority of Architecture

12.6 Architectural Education Dialogue Part 1

12.6 Architectural Education Dialogue Part 2

12.6 Architectural Education Dialogue Part 3

12.6 Core Issues Parts 1-2 - Szymanik Inquiry

12.6 The Five Categories of Architecture

12.6 Harnessing the Architectural Curriculum Pt 1-2-3

12.6 The Other Architectural Puzzle - CG1B

12.7 Criticism Questions & Ideas

12.7 Relevance

12.7 Replacing the FAR

12.7 Seriously

12.7 The Significance of Gross Building Area

12.8 Searching for Answers

12.8 Shelter, Space & Intensity

12.9 Planning with Architectural Intensity

13.1 Problem Solvers

13.1 The Many Faces of Architecture

13.10 Repositioning

13.11 Fundamental Questions

13.3 Free Enterprise & Architecture

13.4 Symbiotic Knowledge

13.5 Balance

13.5 Sound Bites from Architecture

13.6 Commentary - Part 1

13.6 Leadership & Design

13.9 The Design Decisions That Matter

13.9 The Greatest Invention

14.1 Sustainability & First Ring Suburbs

14.1 To the Philippines & Malaysia

14.1 Traffic lights

14.11 A Plan Review

14.2 Scoundrels in Law

14.4 Tacit Knowledge

14.5 Reply to Tacit Knowledge Comment

15.1 A Lesson from the Duomo

15.1 Reconsidering Architecture

15.1 Two Questions with Follow-up

15.1 Value Added Architecture

15.2 A Fork in the Road

15.2 Architectural Practice and Profession

15.2 Comments Worth Pondering

15.2 Survival

15.3 Design Leadership

15.4 Two Question Follow-up

16.10 Removing the Blindfold from Economic Development

16.10 The Human Scale

16.11 Land Use & Urban Form

16.11 Power, Policy & Planning

16.12 Architecture, Agriculture & Planning

16.12 Graduating from The Floor Area Ratio

16.7 Advertise: The Science of City Design

16.7 Excerpts from The Science of City Design

BLOG and LINKEDIN CONTENTS  16.7 The Science of City Design

16.8 City Planning & Design Basics

16.8 Repeating Success

16.9 Pop-up Urban Projects

16.9 Shaping the Future with Opinion

16.9 Urban Renewal

17.1 Restoring the Health of Cities

17.10 Comparing Shelter Design Decisions 11.4revised

17.10 G1.R1 Single-family Detached Home Dilemma

17.12 Reply to Architectural Criticism

17.2 Arguing for a Science of City Design

17.2 Strategic Architecture

17.2 Surface Parking Limits on Shelter Capacity

17.2 The Concept

17.2 Updating a Comprehensive Plan

17.3 Adapting Our Cities to Reality

17.3 Improving the Influence of City Planning & Design

17.4 Addendum to What is Architecture

17.4 Townhouse & Apt Density Exposed

17.4 What is Architecture

17.5 A Cautionary Comment

17.6 A Debate Over Architectral Beauty & Taste

17.7 Grenfell Tower

17.7 Replacing Density - Updated

17.7 Zoning Conflict & Opportunity

17.8 Competing to Consume

17.8 Core Area Restrictions on Shelter Capacity

17.8 The Future of Cities

17.8 Understanding a Bldg. Footprint

17.9 Leading Shelter Capacity, Intensity and Context Results

17.9 The Future of Shelter

18.1 An Expanded Role for Architecture

18.1 Arch Cap & Shelter Int within a Limited B.D

18.2 The Least a Smart City Should Know

18.3 Elected & Appointed City Plan & Des Decisions

18.3 Facing Reality on a Finite Planet

18.3 Open Space metric

18.6 Learning to Lead the Formation of Cities

18.7 Visualizing the City

19.1 Correlating Economic & Real Estate Development

19.10 Benefit of Land Use-Urban Form Correlation

19.3 A Question from Kabul

19.3 BACK COVER

19.4 Planning Our Presence

19.4 Response to Bill Gates re Land Consumption

19.5 Shelter Design Basics

19.6 A Collision of Arch Opinion

19.6 Shelter Sprawl

19.8 Unstable Land Use Allocation

19.9 Larry Discussion

20.10 Contributing Knowledge

20.12 Measuring Intensity of Place

20.3 A Farmer Knows More Than a City

20.4 Density and Covid-19

20.4 Planning w Econ Homework

20.8 Zoning Design Specifications

21.10 The Equations of Urban Design

21.12 Not Published - Architecture - Fine Art

21.2 Des Decisions that Determine Apt Density

21.3 Des Decisions that Determine Single-Fam Det Housing Density

21.3 Des Decisions that Determine Townhouse Density

21.4 Des Decisions that Determine Single-Fam Subdivision Density

21.6 A Simple Urban Economic Question

21.7 Land Use & Dev Cap Correlation

21.8 Shelter, Sprawl and Survival

22.12a The Land We Take for Granted

22.12b Confronting Sprawl with an Adequate Language

22.2 Concerning Our Presence on the Planet

22.3 The Consequences of City Design Decisions

22.7 Urban Design

22.8 A Scientific Approach to Zoning Plan Review

22.9 Shelter Capacity

23.1 Interpreting the Planet's Law of Limits

23.1 Zoning Plan Review

23.10 The Planet's Law of Limits

23.2 Annexation

23.2a Public Policy - City Design Disconnect

23.2b The Implications of Shelter Capacity Design Decisions

23.4 The Decisions Needed

23.4b The Pattern of a Master Plan

23.6 Making the Argument for Shelter Capacity Evaluation

23.9 Transition  from Zoning to Urban Design

??? Land Use Plans & Ponzi Schemes

23.9.2 Principles of Shelter Capacity Evaluation for Urban Design

23.9.3 Sprawl

23.10.1 The Planet's Law of Limits

23.10.2 Our Challenge

23.11.1 The Shelter Decisions We Face

23.11.2 Response to Oana Bogden

23.11.3 Architecture and the Language of Urban Design

23.11.4 Choice and Decisions

23.12.1 Correlation

23.12.2 Zoning

23.12.3 The Shelter Capacity of Land

24.1.1 City Design for Economic Stability

24.1.2 Measure, Evaluate, Predict the Shelter Cap. Eval. Potential of Land

24.2.1 Density Cannot Lead

24.2.2 The Housing Shortage

24.2.3 How to Transition from Zoning to Urban Design

24.2.4 The Value of an Acre

24.3.1 The Science of Shelter

24.6.1 The Leap from Opinion to Knowledge

24.7.1 Data Science and Shelter Capacity

24.7.2 The Language of Shelter Capacity and Context

24.8.1 Quantifying the Complex Foundation of Physical Design

24.8.2 Minimum Design Standards in Zoning Regulation

24.9.1 Stormwater Consideration During Zoning Plan Revies

24.10.1 Zoning Influence on Urban Context

24.11.1 Tactical Architecture and Strategic Urban Design

24.11.2 Three Questions from an Architect

24.11.3 Shelter Design Leadership

24.11.4 Land Use and Urban Design

24.11.5 Urban Design for Economic Stability

24.11.6 Shelter Questions Facing Architecture and Urban Design

24.12.1 Architecture Period and Style Misdirection

24.12.2 The Significance of Shelter Capacity Decisions

25.2.1 Relationship of Shelter Capacity to Quality of Life and a Limited Built Domain

25.2.2 Facing the Reality of Our Dependence on Shelter and Design

25.2.4 Shelter Strategy

25.3.3 The Public Value of Architecture

25.4.1 Journey from Architecture to Urban Design

25.4.2 The Third Dimension of Zoning and Planning

25.5.1 Tailoring Shelter Capacity to Meet Physical, Social, and Economic Context Objectives

25.5.2 The Public Value of Architecture

25.5.3 The Nine Phases of Architecture

25.6.1 The Relationship of Shelter and Space to Survival

25.6.2 Table of Contents for "The Equations of Urban Design"

25.6.3 Hosack Essays Updated 6.4.25

25.6.4 Eliminating Hope as a City Design and Zoning Strategy

25.6.5 Leading Shelter Capacity Design Decisions

25.7.1 Shelter Capacity Design Decisions

25.7.2 The Mathematical Foundation of Shelter Design Decisions

25.7.3 Pursuing Urban Design and Zoning Knowledge

25.8.1 Another Win at Toronto Bd. Of Zoning Adjustment

25.8.2 The cellular Level of City Planning, Urban Design, and Zoning

25.9.1 Density Leadership Limitations

25.9.2 Tegimenics

25.10.1 Limited Land Consumption for Shelter on a Limited Planet

25.10.2 Economic Development, Urban Design, and Public Leadership

25.10.3 Sheter Specifications and Affordable Housing

25.10.5 San Diego - Horton Plaza

25.11.1 Shaping Urban Pattern, Form, and Space for Shelter Capacity and Economic Stability

25.11.2 Eliminating Shelter Sprawl and Intensity

25.11.3 Affordable Housing

25.11.4 The Land: Revenue Implications of Shelter Capacity and Land Use Activity

25.11.5 Blog List to 25.11.4

25.11.6 Is Architecture a Profession?

25.11.7 What is Tegimenics?

25.12.1 Site Plan Relationships - Housing Leadership Decisions

25.12.2 Frank Gehry

25.12.3 What is Urban Intensity?

25.12.4 Second Ed. - The Disorganized Zoning Ordinance

26.1.1 Correlating Zoning Design Standards

26.1.2 Shelter Correlation

26.1.3 The Future of Our Physical Presence

26.2.1 How Much Land?

26.2.2 The Shelter Capacity of Core Land Area

26.2.3 The Correlation Required to Lead

26.4.1 City Design Intelligence