Carrying capacity and vertical farming

I recently received a query from one of my architecture students who intended integrating vertical farming into their design proposition. He says: I've been looking at vertical farming and have been basing my calculations on this document (http://breannacarlson.com/Vertical-Farm-Park) which says that 930 square metres (10,000 square feet) will provide a 2000 calorie diet for 330 people. Does this seem realistic?

The document referred to was a speculative proposal put forward by a New York architect, and the claims relating to the productivity of vertical farming were not referenced to any background documents to explain how such a small area might feed so many people. This was my response:

There is certainly a big discrepancy between what this American author is saying and the calculations for Australia based on my Carrying Capacity Dashboard. They state that it is possible to feed a population 2000 kilojoules a day on what amounts to 28m2 (300 square feet) of hydroponic production while at the moment, in Southeast Queensland, according to the Dashboard modelling, it takes roughly about 1.1 hectares per person (with 100% irrigation) for 1746 kilojoules. That’s 28m2 versus 11,000m2: about a 40,000% difference!

Localising the Dashboard

How to apply Carrying Capacity Dashboard calculations to smaller areas...

Modelling for the Carrying Capacity Dashboard is offered at three different geographic scales within the Australian context – national, state and regional. However, it is also possible to use this modelling to make estimates for even smaller areas. It is important to note, however, that if using the following procedures to model local area carrying capacities, the agricultural yield data will be reflective of the larger region rather than of the local area. In some cases local conditions may be very similar to the regional context, but this might not always be so.

The following instructions apply to two potential approaches: firstly for those who have an area of land in mind and wish to know how many people it can support and secondly, for those wondering how much land would be required to support a certain number of people.

Scenario 1: How many people can my local area support?

1. Open the Dashboard (http://dashboard.carryingcapacity.com.au/) and choose the region in which your local area falls (ie. choose the state, then the region). For example, if you wished to test the carrying capacity of say, the Noosa Biosphere, then choose the South East Qld region.

Global Models - Ecological Footprint

Authors such as Meadows et al.[i] and Catton[ii] described global carrying capacity overshoot in the 1970s and 1980s in theoretical terms without the ability to adequately measure it. The problem they faced included the sheer size of the exercise on a global scale together with the complication of incalculable amounts of imports and exports of resources and environmental impacts flowing between regions. To combat this challenge, Mathis Wackernagel, and his thesis supervisor William Rees, developed an approach in the early 1990s known as Ecological Footprint analysis[iii] which converted human activity into land requirements with the aim of establishing its ecological impact.[iv]

Ecological Footprint is an inversion of the carrying capacity approach. While carrying capacity assessment begins with a specific landscape and derives a population per area outcome, Ecological Footprint takes a population and estimates a land requirement per person result.[v] Accordingly, it first determines the demands of the population, either at a global or local scale and then calculates the amount of land that this set of lifestyle parameters would require. The land requirement however, could be drawn from anywhere on the planet,[vi] is consequently usually measured in global hectares, and illustrates the condition of ecological overshoot when exceeding the actual land available. Given the globalised nature of modern trade, proponents of this approach argue that Ecological Footprint analysis is thus an accurate representation of existing circumstances.[vii]

 Global Footprint Network’s online Footprint Calculator. The user takes on an avatar who inhabits a suburban scene which is progressively illustrated while lifestyle choices are made. Then, at the end of the process, the user is informed of their global footprint and the proportion of land-uses required such as land for food, shelter, mobility, goods and services.

Carrying capacity by numbers

The application of mathematics to the prediction of population dynamics has challenged demographers for at least two hundred years. Various proponents have developed formulae for both the calculation of population growth as well as the potential limits to such growth. While these formulae on their own have not always been able to accurately predict human carrying capacity limits, in many cases they have contributed to the development of more complex carrying capacity models.[i] As such, they have often been theoretic in nature, rather than having direct applicability to a particular landscape.

One of the earliest known equations relating to population dynamics was Thomas Malthus’ exponential growth theory of 1798. According to Malthus,[ii] “[p]opulation, when unchecked, increases in a geometric ratio,” while its means of subsistence, namely its food supply, increases only in a linear or arithmetic manner. The exponential growth formula is relatively simple and can be given as;

P(t) = P_o e^rt,

where P(t) is the population at a point in time, P_o is the initial population, e is the base of natural logarithms (2.718...), r is the growth rate and t is time. This formula generates a j-shaped curve with population reaching to infinity (figure 1a). However, according to Malthus, this infinite growth is inevitably halted by the inability of food production to keep up with the population’s exponential expansion (figure 1b).

Figure 1a. (left): Malthusian exponential growth curve showing how the population increases infinitely. Figure 1b. (right): Malthus’ exponential population growth curve limited by the linearly increasing food supply. The assumed carrying capacity is the point at which the population projection intersects with the food supply projection. The carrying capacity is assumed in this instance because Malthus did not refer to it as carrying capacity.

The meaning of carrying capacity

The first known use of the term carrying capacity occurred in 1845 in a report by the U.S. Secretary of State declaring that a new tax would differentiate between cargos transported on sailing- and steam-boats because of their differing carrying capacities.[i] While probably initially used just as two discrete words to best describe a ship’s maximum payload, the term carrying capacity subsequently gained its own unique meaning through increasingly frequent use. Firstly applied to just ships, then to other modes of transport such as trains, the term began to take on a broader meaning by the late 1800s. Sayre[ii] explains that eventually, “the term shed its connection to the levying of duties” and, “refers to the amount of X that Y was designed to carry.”

Aims of the Carrying Capacity Dashboard

In its broadest sense, research around the Carrying Capacity Dashboard aims to highlight how society’s understanding of constraints to the productive capacity of its resource base is vital to its long-term survival. A growing mainstream awareness in the importance of linking a population to the carrying capacity of its landscape has to date, largely been rhetorically rather than empirically tackled. For instance, while both the Redlands City[i] and Sunshine Coast Regional Councils[ii] have publicly committed to living within their carrying capacities, they don’t currently have the tools to determine the actual extent of these limits.

This research aims to identify, examine and compare existing approaches to carrying capacity assessment and consider their relevance to future spatial and infrastructure planning. It raises the following questions: Which carrying capacity assessment models are best suited for determining future sustainable land-use and community infrastructure? What gaps in existing research need to be addressed? Is it possible to achieve a practical model for assessing regional human carrying capacity?

This research aims to add practical application to what are currently well-intentioned but untested emerging societal aspirations concerning carrying capacity assessment. Basic questions such as, “How much land does a population require for its minimum resource requirements?” are currently not easily measurable. It is anticipated that the carrying capacity model developed through this research, can more accurately define the variables inherent in this question, and more clearly articulate possible outcomes. For example, the model might suggest that a certain region’s population may currently be within the carrying capacity of its landscape for one year of average production given existing consumption patterns, but perhaps it may be over-capacity if longer timeframes or different consumption patterns are applied. Carrying capacity assessment thus offers a dynamic tool for ascertaining population thresholds and potential future population distributions, as well as providing important guidelines for living within these physical limits. As such, it has the potential to influence urban and rural planning policy at all levels of government. It can also be useful for researchers and educators in highlighting system boundaries and physical limits to design proposals. Perhaps above all else, it can help individuals and local communities to more clearly define lifestyle changes necessary to ensure more resilient and sustainable societies in the future.

A short history of the carrying capacity predicament

There is evidence to suggest that the struggle to subsist at or below the earth’s biophysical carrying capacity has dictated the behaviour and size of the global population since our very earliest beginnings. In fact, carrying capacity constraints are most likely the leading driver of societal systemic change from hunter-gathering to swidden agriculture; and from cultivation and pastoralism to modern industrialised agriculture. As each phase of human development reached its natural productive limits, pressure to ever-increase the local and global population has led to successive cultural and technological revolutions.

Despite a consistent expansion of human population, there have been periods of relative stability in which societies have managed to both assess the carrying capacity of their local environs, and also consciously maintain a population below its ecological limits. For example, the Australian aboriginal population of hunters and gatherers maintained a relatively stable population across the entire continent for millennia.[i] In a swidden agricultural system, the Maring people of Papua New Guinea developed an elegant and well documented[ii] system of carrying capacity assessment; and the agriculturally-orientated society of Tokugawan Japan[iii] also managed to maintain a reasonably stable population based on the carrying capacity of local regions. There are presumably many other historic precedents of populations intentionally living within carrying capacity-imposed limits but documented examples are few; and since global industrialisation has significantly expanded the resource-base, examples of self-sufficient societies living within their regional long term ecological capacity are arguably non-existent. The growth paradigm of the modern industrial era has meant that population expansion, along with its concomitant schema, economic expansion, has largely been viewed favourably, if not embraced wholeheartedly.

CarryingCapacity.com.au is launched

Welcome to Australia’s leading carrying capacity website, featuring the Carrying Capacity Dashboard prototype and Carrying Capacity Blog.

Our aim is to raise awareness of the importance of carrying capacity assessment as a forward planning tool - to help establish a sustainable balance between people and their localised environment.

Given the dependence of societal systems on biophysical health, it is vital that land-use planning initiatives have the ability to more clearly define potential future demands on the environment. Carrying capacity assessment offers a way to assess our resource needs and also determine how best to meet these needs.

The Carrying Capacity Blog facilitates an ongoing public conversation around questions of population and sustainable land-use. It offers commentary on past, present and future trends in carrying capacity analysis; looking first at how carrying capacity can be assessed and then how it might be maintained. Topics include:

• historical perspectives on the carrying capacity dilemma
• insight into how the concept has developed
• analysis of current global crises from a carrying capacity perspective and how these problems might be best faced
• a survey of various existing carrying capacity models
• a thorough description of the development of the Carrying Capacity Dashboard
• an exploration of the wider societal implications for living within carrying capacity limits
  
  

The Carrying Capacity Dashboard marks an important initial step towards the widespread adoption of carrying capacity assessment linking people to place. It is hoped that carrying capacity estimation tools like the Dashboard can be of use in a number of ways:

• influencing urban and rural planning policy at all levels of government
• assisting researchers and educators in highlighting system boundaries and physical limits to design proposals.
• helping individuals and local communities to more clearly define lifestyle changes necessary to ensure more resilient and sustainable societies in the future.
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Why we need to assess our carrying capacity

There are clear signs that society is threatening the biophysical limits of our shared environment and that the size, distribution and behaviour of the population is to blame. The seven billion-strong global human throng is exerting such pressure on our existing societal and environmental systems as to suggest a re-evaluation of existing approaches to the way in which land and resources are managed and to the very structures that allow these problems to escalate. We need to fundamentally reshape our land-use planning practices to align with the biophysical constraints of the landscape. To this end, we need the tools to quantify these constraints, analyse them collectively, and then make predictions about their behaviour to inform planning decisions. This practice defines the process of carrying capacity assessment. 

The question of global overpopulation has challenged the world’s sociologists since Thomas Malthus raised the prospect over 200 years ago. Malthus [i] argued that while human population potentially grows exponentially, the resources required for human survival remain relatively finite. To date, society has largely managed to produce the resources necessary to feed, house and clothe the majority of the earth’s inhabitants, though in vastly differing degrees of comfort, and Malthusian sceptics[ii] argue that his predictions of over-population have not eventuated because advanced technology and the use of high-energy fossil fuels have allowed for a significantly expanded resource-base. However, this mode of industrialised production and consumption has proven costly, with world-wide environmental degradation, resource depletion and social inequities escalating, and an ever-increasing global population serving to magnify the problem.