Energy Returned over Energy Invested is the measure
of sustainability.
The Autonomous
Alternative Energy District (AAED)
Comment on
Computing ER and EI
Why We Need the Concept of
Emergy
Definition (Standard
Electricity)
Additional
Concerns about Recycling
What Is the Energy
Cost of Pollution?
Time Delay and Distance
between Production Facility and Consumers for ERoEI
A Letter on
Renewable Energy to Energy Resources 6
The Fundamental Principle
of Ecology
Accounting for the
Energy Cost of Human Effort
It is
essential to realize that energy is the life blood of a society.
Sustainability amounts to providing a sustainable renewable energy technology,
a technology that harvests energy (corrected for entropy) from the sun in real
time and that returns more energy than is consumed to manufacture it, install
it, operate it, maintain it, maintain its storehouses of natural material
capital, prevent or repair environmental damage including aesthetic damage, and
support the community that serves the renewable energy installation both
directly and indirectly. It might help understand the central role played by
energy if the Sun is recognized as an entropy reducer. Low entropy photons
concentrated into a ray enter the Earth's atmosphere. High entropy (low
frequency) photons in all directions leave.
If we
wish to define a ratio of Energy Returned over Energy Invested (ERoEI*) that
will indicate a sustainable alternative energy technology if and only if it is
greater than 1.0, we must begin to think of society as a system the purpose of
which is to maintain the flow of high-grade renewable energy. Let us
begin with a thought experiment that will make perfectly clear what should be
included in the energy investment term (EI*) in ERoEI* = ER/EI*. Suppose that a group of people representing all
of the trades and professions wishes to support itself completely by relying on
a single alternative, renewable energy technology for all of its energy needs.
Suppose
further that this very special community occupies a portion of the Earth's
surface where repositories of every element needed for the manufacture,
installation, operation, maintenance, and replacement of an alternative energy
installation. In addition, it has whatever additional repositories are
needed to feed, clothe, shelter, keep healthy, preserve from drudgery,
entertain, and elevate spiritually the community and to protect the
environment. These are finite repositories although most of them are
extremely large. Out of each repository a reasonably sized storehouse is
kept at steady state, making up for such deficiencies of recycling as are bound
to occur by drawing from the surrounding repository sufficiently slowly that
the repositories will not reach the analogy to Peak Oil for some agreed upon
length of time in excess of 1000 years certainly and maybe much longer under NO
GROWTH.
Figure
3. AAED with associated storehouses at A, B, C, D, & E,
repositories at A through E, and recycle installations at a, b, c, and d
serving the Autonomous Alternative Energy plant
Nothing
is imported from outside the District (other than natural sunlight) whereas net
energy for export and junk heat radiated to deep space are the only
outputs. If a man needs a car to drive from his home (in the District) to his
job (in the District), the car is built, maintained, and fueled in the
District. If his wife is sick, the doctor in the District will treat her with
medicine made in the District from chemicals produced there from raw materials
mined there and subsequently recycled aggressively. The ERoEI of the new energy
technology is the total energy produced, ER, divided by the quantity ER minus
the quantity EX, where EX is the energy exported; i. e., EX = ER – EI*.
If the District is able to export any energy at all the ERoEI ratio
exceeds one and the technology is sustainable – at least.
There
are excellent reasons to expect that, until dematerialism is fully established,
ERoEI* will be no greater than 1.0. Compute energy returned (ER); add up
all the investment terms except the payments to the workers
and other stakeholders (call it EI'); subtract EI' from ER; if the result is
positive let the stakeholders decide how much and in what way to distribute the
payments and what to do with the portion not distributed. What,
after all, is the probability that they don't decide to distribute ALL of it? Normally,
though, someone will be at the top of the food chain in a society infected by
resource dominance; and, will assign part of ER – EI' to net energy product and
take the rest or simply take all of it. I refer to ED as the sustainable
dividend where ER - EI' = ED + EX. and EX is the emergy exported. Note:
ERoEI* = ER / (EI' + ED) = ER/(ER – EX). Notice, too, that ED is not determined
in advance in the sense that anyone will have a chance to subtract a portion of
it for export except a proportional transaction tax that can be collected by
the government to assist in distributing the emergy production between exported
energy and natural capital retained by the AAED as a flexible fund to enhance
or restrict accounts as required, in particular to ameliorate initial miscalculations.
Except where crisis socialism or dematerialism has been
established, the ED is distributed throughout the economy in every transactions
of every day; and, no one knows what ED is until much later unless present day
accounting methods have been supplanted by something much faster, more
efficient, and much more informative. However, ER* can be estimated based upon
experience provided the computational regime does not grow too chaotic. On the
other hand, there is nothing left to decide; so, we can set EI* equal to EI' +
ED = ER - EX and determine sustainability from ER/EI* = ERoEI*. Until
dematerialism is established, there is no possibility of ERoEI > 1.0; but,
after dematerialism is established, the magnitude of the net energy export would
depend upon the special needs of our neighbors and ordinary needs of ourselves.
The
actual situation in a self-contained US economy would be virtually identical to
that of the AAED if the economy were to run exclusively on the alternative,
renewable energy technology under investigation and there were precisely as
many physicians, for example, as are needed to supply the needs of those whose
purpose in life is to provide energy. Thus, every ancillary and indirect
expense of producing energy including the support of the workers and their
dependents must be counted in computing energy invested if the ERoEI
methodology is to be used to determine sustainability. Let us call this ratio
ERoEI* (pronounced E-R-O-E-I star) to distinguish it from the superscripted ERoEIs
in “Energy in a Mark II Economy” and to indicate its importance as the only
ERoEI that determines sustainability.
Inasmuch
as workers ought to have a life of their own, the enterprise, in this case the
production of energy, must pay all of their living expenses. In fact, the
energy enterprise must pay the living expenses of all those whose work supports
energy production either directly or indirectly. If a job holder within the
very special community described earlier with nothing crossing the boundary except
exported net energy is employed in a way that does nothing to support the
production of energy, he should be furloughed to save the cost of doing his job
and to permit him to pursue worthwhile activities to which he is naturally
attracted and for which his education prepares him. Until he is furloughed, he
will have to be considered a freeloader, the cost of whom is subtracted from
the net energy rather than the energy invested. Clearly, among the jobs that
support energy production are all the jobs that make things or do things we
need to live including a few activities that do nothing but take the drudgery
and tedium out of life, like entertainment, art, and sports. The only
distinction we should make between people who work at nothing except acquiring
a larger slice of the pie for themselves or their employers and people who are
idle is that the people who are idle do less harm.
Heretofore,
I have used the terms “feasible’ and “sustainable” interchangeably. I think it
may be useful to draw distinctions between sustainability and feasibility – and
to define a new concept, namely, quasi-sustainability: An energy technology is
sustainable if and only if ERoEI* (E-R-O-E-I star) is no less than 1.0. An
entire society is sustainable if and only if the compound ERoEI* of its entire
mix of energy technologies is no less than 1.0. Early on, recognizing that a
community can persist for quite a long time if most of the characteristics of
ERoEI* are satisfied, we considered quasi-sustainability; that is, during a transition
period between fossil fuels and renewable energy, we must tolerate some slight
environmental destruction and diminution of our storehouses of essential
natural resources because of the large proportion of the energy investment for
most renewable energy technologies that must be paid before any energy is
returned. Let us agree that a renewable energy technology is feasible if no
more characteristics of ERoEI* are relaxed than are consistent with the
community standards and laws of the land currently.
In a community that can subsidize a renewable energy
technology with fossil fuel, it is especially important to use ERoEI* as
discussed at https://www.eroei.net/eroeistar.htm
because the lifestyles of the participants can be supported by fossil fuel.
Thus, the alternative energy technology might be able to produce energy, but
the total amount of fossil fuel used by the community would be increased rather
than diminished. And no one might ever know – until it’s too late.
The
price of energy should reflect the cost of preventing or repairing any changes
to the environment that diminish the quality of life of mankind and other
species or that compromise the sustainability of the relevant ecosystems
including the magnitude of the storehouses of natural resources. The quality of
life depends upon aesthetics as well as pure material circumstances.
The
energy-invested term should have an energy contribution corresponding to every
monetary item that affects the price even if this reduces ERoEI* to less than
1.0. Research should continue until technologies with ERoEI* greater than 1.0
are found. This approach is mathematically rigorous as opposed to other
approaches that merely state that an ERoEI must be greater than some
unsupported number such as 3.0 to support the operations of civilization.
It's
easy to compute the quantity of energy (really availability, which is energy
corrected for entropy) we expect to be produced over the life of the project
for any energy production installation we wish to investigate - in particular,
to determine whether or not it produces more than it consumes. We consider
energy spent to prevent or repair environmental damage caused by the
installation, embodied and direct energy purchased with money paid to the
stakeholders in the system, and the many other direct and indirect energy costs
discussed in eroeistar.htm all to be part of the energy consumed by the process
over the life of the installation. The energy produced is denoted ER for Energy
Returned and the energy consumed to produce it is EI for Energy Invested.
Clearly, if ER/EI < 1.0 (ER < EI), the installation should not be built.
In a fossil-fuel economy, if the installation is built - usually because
subsidies hide its true nature from analysts who go by monetary costs - it will
result in the combustion of more fossil fuel not less. Thus, the computation of
ERoEI* should be done before the installation is built using our best estimates
of things like the amount of energy required to hold the supply of materials in
steady state, the energy costs to rehabilitate the plant site to a pristine
condition if the plant becomes obsolete, demographics change, or for some other
reason the installation abandons the planned plant site, etc. If you do this
computation for any given nuclear plant taking proper account of every negative
effect, you will probably determine that ERoEI* for nuclear is less than 1.0.
If it is less than 1.0 for solar, it shows that more research should be done,
as we have not reached our goal yet of a sustainable renewable energy
technology. But, we must eventually succeed and we will.
The
input to the production facility that produces solar cells and their
ancillary equipment consists of energy (availability), material streams,
and human effort. The embodied energy or emergy of the material inputs
must be added to the Energy Invested term. Thus, a definition of
renewable (sustainable) energy must employ the concept of emergy.
In this
paper, single-phase, 60 Hz, 110-volt alternating current delivered to the
user’s meter is taken to be standard electricity
My
arbitrary – but well-defined – choice for one unit of emergy(1 MU) is
1.0 kilowatt-hours of standard electricity. Although electrical current
carries asmall amount of entropy manifest in difference currents, for all
practical purposes, that is,for engineering purposes, electricity is pure
work. The availability of electricity is equal toits energy or enthalpy;
and, with this choice of emergy unit, the emergy of electrical currentis
numerically equal to its energy in kilowatt-hours. The transformity of
sunlight, wind, biomass, and other energy products will be less than – but
close to – 1.0.
The
transformity of a primary fuel is the number of kilowatt-hours of
standard electricity one can obtain from 1 kWhr of the primary fuel by an
efficient process, the tradition of reporting the availability of fuels in
BTUs per pound or kilocalories per gram mole notwithstanding. Any
unit of energy can be converted to kilowatt-hours. Thisis an electricity-based
transformity, the units of which are emergy units per kilowatt-hour.
The
embodied energy or emergy of a primary fuel is the Gibbsavailability of
the fuel in kilowatt-hours multiplied by the electricity-based
transformity.The emergy of anything else is the sum of all the emergy that
went into producing it by an efficient process minus the emergies of
any by-products formed. The emergy of an activity is the average rate
of expenditure of emergy times the time. These definitions are
easilyextended to include the dependence of emergy on location and
time. The concept of nemergy or negative emergy can be introduced to
aid in the discussion of environmental damage.
Let us
recall once more that, in a sustainable society, the store houses of natural
resources with which the earth and our species are blessed must be retained at
more or less steady-state accumulations. The atmosphere and the land are
natural resources as well as the repositories of iron and other metals, the
nutrients in the soil, and the atmosphere itself. This means air and
water quality and the infrastructure of primary and recycle processes must be
maintained. Therefore, let us add to the list of energy expenses that
must be met to achieve sustainability.
1)
Sequester carbon, in case fossil fuels are involved in the process - even if
only in the start-up phase. But, in the case of shale oil and gas, the
energy costs of carbon sequestration that must be borne by the consumer should
be added to the energy-invested term to calculate ERoEI. Probably, under
present-day economic conditions, this can be thought of as a tax, which should
be levied.
2)
Maintain storehouses of materials that are used to build and maintain the
principal process and the secondary processes such a tax preparation,
healthcare, etc.
3)
Mothball process equipment at the end of its life and, if the plant is not to
be rebuilt, restore the plant site to the pristine conditions in which we found
it. Let us maintain Earth as a garden.
4)
Desalinate sea water to replace the fresh water used and decontaminate such
water as the process renders unfit to drink.
5) To
the energy costs of 1 - 4, add the energy budgets of the employees and the
appropriate pro-rata portions of those whose services must be charged to the
process such as the health services that keep the workers healthy.
If there are stockholders or venture capitalists who take profits from the
process, an appropriate portion of their energy budgets must be charged to the
energy-invested term (EI). Recall that every item that adds to the
(monetary) price the consumer must pay for the product has an associated energy
cost. Clearly, salaries, fees, profits, and taxes add to the price.
All computations of ERoEI and/or emergy must be carried out just as they would
have been carried out if government subsidies had not existed. Quite
frankly government subsidies are not the best way to defeat market
intransigence and they make our job as analysts harder. Quite possibly
there is an energy cost associated with subsidies that should be added to EI.
6) If
there is an energy cost due to withdrawal of the land from other uses, it
should be added to EI. I am not quite certain how to calculate this term
if, for some reason, the value of the insolation on that is not
acceptable. Perhaps the reader has some ideas. If you do, please
write to me at wayburn@eroei.net. (It should be noted that setting the value of
the land equal to the value of the insolation intercepted by it accounts for
the disqualification of ownership of land. Rental only is permitted, as
the total insolation in perpetuity is infinite.)
Additional
objections are as follows:
ERoEI
in even the sound form that Wayburn has promoted does no more than provide a
measure of the effectiveness of an energy supply process. It does not take into
account
1.
Whether the energy supplied is used for a useful purpose or otherwise. Is all
the fuel used by cars serving a useful purpose?
2.
That the supply process produces waste material that has caused such
deleterious consequences as climate change and the accumulation of stores of
radioactive materials
3.
That the supply process irreversibly divests limited natural material
resources, including fossil fuels and uranium
Here
are my comments on these three points:
1.
How the energy is used is not the business of the analyst and it should not
be. Can you imagine what most people would say if I told them that the
energy they use to conduct their lives or businesses is wasted because I do not
approve of what they are doing?
2.
This is included in the energy-invested term by including the cost of
sequestration. Even the loss of space to sequestration can be given an
energy value by counting the insolation that might have been harvested but
could not be because the space was otherwise occupied.
3.
If the process does consume material resources, the energy-invested term can be
increased by the energy cost to recycle not consume, which is always possible
except for an insignificant trace amount. In some cases, this expense is
unbearable and must be avoided by choosing different technology.
In Item
2 of "Some Important Components of the Energy-Invested Term that Are
Generally Neglected" (http://eroei.blogspot.com, Dec. 6), I imply without
proof or explanation that the storehouses of materials needed for the main
process under investigation and the essential ancillary processes can be
maintained at their original levels. I wrote as though the recycle problem had
been solved and a steady state could be achieved without further ado. That is
not the case. Recycling the material in the infrastructure is a tricky
business. More research is needed. Here is what I wrote to the critic who
raised that point and, in addition, was concerned about the effects of
friction:
The
problem should be categorized thusly: (a) Separate the materials that we need
to carry out the activities we consider important to our civilization, i. e.,
the materials we need to produce food and clothing, maintain shelter, render
health care, and provide art, music, literature and a few luxuries to take the
drudgery out of life, e. g., computers; divide the useful materials into two
categories: (b1) the materials that can be recycled and devise the most energy
efficient techniques to recycle them; (b2) find substitutes for the materials
that cannot be recycled. (Remember that, even if only the elemental species can
be recovered, with enough energy the original substance can be synthesized at the
expense of our supply of available energy (enthalpy minus the lowest
temperature reservoir to which waste heat can be rejected times the entropy).)
I
expected recycling pharmaceuticals to be difficult and perhaps unprofitable. I
gave it a lot of thought. For now, I am satisfied that pissing on the ground
might have to be forbidden. This was done by the Freemen on Frank
Herbert’s Dune, a desert planet. Useful chemicals can be extracted
from sewage by chromatography for example. Materials that are deemed essential
and cannot be recycled for one reason or another will remain a challenge for
the time being.
This is
an easy question to answer: The energy cost of pollution is the energy cost
of whatever has to be done to prevent pollution whether it be (i) the
alteration of the process to avoid the pollution step, (ii) the decontamination
and temperature normalization of process water for recycle or discharge, where
the discharge of fresh water effluent to the environment must be
accompanied by the transport and desalination of sea water, (iii) the treatment
of gas phase effluent to remove all contaminants such that only air and water
at normal temperature is discharged. The discharged air may be
oxygen-rich provided it does NOT contain ozone, and (iv) whatever else must be
done to prevent air, earth, and water pollution.
In
cases where the process pollutes, the fine shall be sufficiently great that it
is cheaper to prevent pollution than to pay the fine. The fine shall be
used to further the agenda of the most sincere environmentalists and to partly
compensate the victims. Someone should implement some sort of plan to make it
uneconomical to cheat. Photovoltaic cells do not pollute, but the factory
that makes them does. It is the responsibility of the purveyors of
solar energy installations to make certain that their vendors and suppliers do
not pollute and/or add the cost of the appropriate process equipment or the
principal of the fine to the energy-invested term.
It
strikes me as too arbitrary to piggy-back the time value of energy on the
current time value of money. We would much rather use something with a physical
basis that would remain constant throughout most periods of interest. Suppose
that the consumer of the Energy Returned has to wait 24 hours for the delivery
even though he is obliged to consume energy constantly at the rate contracted
for. The value of the Energy Invested over the life of the project should be
increased by the value of the energy from the best available replacement
technology adjusted by the appropriate transformity as discussed at https://www.dematerialism.net/ops.htm#_Toc173388355;
however, the life of the project must be increased by one day. Suppose that a
crucial part in an energy installation like an electric turbine generator is
not available until one year after the time it was needed by the builder of a
wind power installation. The Energy Invested should be increased by the value
of the substitute energy just as in the previous example with the life of the
project extended by one year. Presumably, the energy cost per unit of energy
recovered of the substitute technology exceeds the energy cost for the planned
technology, which is why the new technology is contemplated provided they are
both renewable. Other similar cases require similar consideration; however,
nothing relieves the analyst from the intelligent and judicious application of
the principles of his craft. The fundamental principle of dealing with all
departures from ideality, such as intervals in space separating the locations
where the energy is produced and consumed or emission of greenhouse gases, is
adding all energy costs of such additional equipment as would restore ideality.
It is clear that the energy embedded in any material that must be considered in
any analysis can be computed properly by making as many adjustments as are
required to the straightforward cost of production by the method of judicious
substitutions.
An
appreciable number of people on the Yahoo! Energy Resources (Peak Oil) forum do
not want to admit that solar and wind energy either are renewable or would be
if it were not for the ridiculous energy cost of supporting a market
economy*. In a debate with Dave Kimble of Running on Empty Oz, who argued
that the front-loaded investment costs of photovoltaic solar installations
disqualify PV solar as a way to mitigate the effects of Peak Oil even in
Australia, I conceived of a plan to bootstrap solar by purchasing abroad solar
energy equipment to start up with. Now, renewable energy technologies
came into a world dominated by coal, oil, natural gas, and nuclear fission; so,
it is understandable that the first front-loaded energy invested in
“renewables” probably came from fossil fuel and nuclear, but possibly
hydroelectric. Let us assume, though, that the solar installations
purchased abroad to get started in a solar economy were produced without the
application of any energy that could not be termed “renewable”. Then, the
first wave of solar energy installations slated for Australia would be
completely renewable. That is, they would produce enough stored energy
such that no fossil fuel at all need be used to maintain the infrastructure and
build replacements for it when they were needed, to maintain the stockpiles of
materials used in the maintenance and the construction of replacements – and,
for that matter, to restore such portions of the earth as were occupied by
solar installations to Earth-as-a-Garden ideality. If the ratio ERoEI*,
as defined at http://dematerialism.net/eroeistar.htm and, in greater detail, on
my new blog at http://eroei.blogspot.com/, is greater than 1.0, this can be
done, although ERoEIs very close to 1.0 will be poor investment risks because
of long payback times and because a very slight change in circumstances could
render them infeasible or because ERoEI* is actually less than 1.0 except for
minor computational inaccuracies. In the spreadsheet analysis done by
Dave Kimble and me, we used an ERoEI equal to 3.0. I assumed that ERoEI*PV
= 3.0. Both Dave and I included construction, maintenance, and eventual
replacement energy costs in perpetuity in EI. In any case, if solar and
wind are not strictly renewable, a competent energy analyst would compute
ERoEI* < 1.0 and be forewarned. See http://dematerialism.net/pv.htm.
The
reason investors are bailing out of renewables is that they have become
convinced by investment bankers that the ERoEI for shale plays is greater than
1.0 if, in fact, they know what ERoEI is or should be. To their sorrow,
they are about to find out that ERoEI for shale is less than 1.0 even if
operators neglect their responsibilities toward Earth. When the shale
bubble bursts, there will be much gnashing of teeth here in Texas. I feel sorry
for all the new Houston citizens who are about to be left high and dry except
for submergence in unmanageable credit card debt based upon false hopes for a
prosperous future. It’s too bad that they didn’t invest their futures in
solar and wind and political change.
By the
way, Denis Frith has been most helpful by suggesting various concrete problem
areas in energy production that have to be addressed to calculate ERoEI*.
The difficulty of finding a new recycling methodology or a substitute material
resource in case a material is encountered with no known substitute for which
recycling is impractical remains a tough nut to crack; however, we shall cross
that bridge when we come to it – and perhaps we never will, as, in contradistinction
to the Second Law of Thermodynamics that provides an absolute upper bound for
energy efficiency, we have the Conservation of Matter governing material
balances. I am certain he will continue to be of service by suggesting
problem areas in establishing renewable energy technology. It is, of
course, the component of energy input that comes from the sun that suggested
the term “renewable” to earlier workers. Although we intend to “pay”
Mother Earth, we have no such intention to “pay” Papa Sun.
The
fundamental principle of ecology ought to be "Leave it alone".
It is not necessary to solve systems of equations to manage an eco-region; i.
e., a connected area of the face of the earth all of which drains into a large
body of water – usually an ocean – with no part of the drainage region omitted,
although systems of millions of equations of all types, even, can be solved if
necessary. What is really needed is a general powering down, i. e., much less
economic activity and a much smaller population.
Mankind
has discovered that he may harvest energy, as well as fruits, vegetables, nuts,
and berries, from Nature. He presumes that he is entitled to exploit
these resources with no thought of paying Nature, putting anything back, or
cleaning up. Now, he is in a bind. His life is filled with feverish
activity. He knows that he has much too great an impact on the
environment. But he can't stop. He has credit card debt. He
just barely avoided the last big lay-off at his job. His wife has been
bugging him to earn more money, in keeping with the normal measure of worth in
his society, usually referred to as status. He has a brokerage account;
but, he has been unable to earn extra money by trading stocks, options,
and other securities. This man's troubles will be recognized as instances
of the modes in which capitalist economies achieve the economic growth they
require.
But, all of this activity, from which capitalism will not let up but demands
more of the same is in violation of the Fundamental Principle of Ecology (now
promoted to initial caps). Thus, on the way to inevitable collapse,
Capitalism will do more harm than its worst enemies are willing to admit.
Let us begin by defining consumption in terms of emergy with an M. For those who wish to know what I mean by emergy see https://dematerialism.net/onemergy.html Let us assume that before any nation can find the political will to replace its government, its legal system, its monetary system, in fact its entire economy to eliminate economic inequality, we must begin to do what we can to avoid collapse. In particular, we shall have to compute ERoEI* for existing technologies in a world with economic strata. Thus, every citizen can be characterized by the community according to how much emergy he or she consumes. Suppose, for the sake of analysis, that these quantities can be replaced by the average values in a few discrete strata. Then, the system I used in Chapter 2 of On the Preservation of Species can be resurrected mutatis mutandis for our purposes. (A new discussion of my latest ideas on this topic must be entered here.)
In
Chapter 2
Sustainability amounts to providing a sustainable
renewable energy technology, a technology that harvests energy (corrected for
entropy) from the sun in real time and that returns more energy than is
consumed to manufacture it, install it, operate it, maintain it, maintain its
storehouses of natural material capital, prevent or repair environmental damage
including aesthetic damage, uninstall it when its life cycle ends, restore the
plant site, and support the community that serves the renewable energy
installation both directly and indirectly throughout its life
cycle. If the technology must pay the energy cost of a substitute
technology in cases where a substitute technology is necessary to satisfy
contractual obligations, this cost must be added to the energy
invested. I reserve the right and privilege to add to this list if
appropriate or necessary.