Last week, in the first Do the Math post in years, I kept the post brief, only pointing out the new textbook: Energy and Human Ambitions on a Finite Planet, and giving a brief account of the backstory.

In this post, I take a bit more time to introduce new elements in the book that Do the Math readers have not seen represented in some form in earlier posts. In other words: what new insights or calculations lurk within the book?

The following is organized into three sections. The first takes a brief tour of the book, pointing out large, new blocks that are not already covered by Do the Math in some form. The second highlights the results of new calculations or figures that bring new context to our understanding. Finally, I summarize some of the new big-picture framing that emerges in the book.

Rather than laboriously inserting associated graphics into this post, my intent is that you treat this as a companion to be used side-by-side with the downloadable PDF of the book.  References are to sections, figures, boxes, etc. rather than page numbers, which vary between electronic and print forms. So go ahead and get a version of the PDF up, and let’s jump in…

Brief Tour of New Content

The Preface may be worth reading for overall framing and motivation. The middle part about student learning and approach to mathematics/problems might not be as worthwhile, but the beginning and end are likely of interest.

The first four chapters attempt to lay out constraints on growth, initially hewing closely to the first two Do the Math posts on Galactic Scale Energy and Can Economic Growth Last. Chapter 3 on population echoes some points in The Real Population Problem, but adds substantial  analysis of the demographic transition. I felt this was an important addition because many academics look to this mechanism to “solve” the population problem. What I point out is that the transition is a double-whammy for planetary resources: even though the result is zero-growth, the road to that point involves a population surge and increasing resource usage per capita. More people multiplied by a higher per-capita resource use is bad news for resource constraints. The dream, therefore, has a nightmarish element that might be neglected by many because demographic transitions of the past were not constrained in this way and seemed to be very positive, on balance. A recurring message: the highly abnormal recent past offers poor guidance to the future. Finally, Chapter 4 echoes the popular Why Not Space post, closing off this exit—or at least prompting the invested believers to cast the book aside and waste their time in a manner more to their liking.

Chapter 5 is a dry one on units, and does not exist on Do the Math except in a static page called Useful Energy Relations. Chapter 6 consolidates several posts on thermal energy and heat pumps. Chapter 7 is basically new, as a snapshot of U.S. and global energy and plots of recent trends.

Elements of Chapter 8 on fossil fuels can be found among the Do the Math posts—especially those on peak oil. But no overview of fossil fuels really existed on the blog. Chapter 9 on climate change is similar to the Recipe for Climate Change in Two Easy Steps, but is considerably expanded to detail the expected impact on temperature, explore limiting-case scenarios for the future, and delve into the thermal requirements for heating the ocean and melting ice.

Chapter 10 provides an overview of Earth’s energy budget and introduces the alternative and renewable energy options. This short chapter has no direct analog in Do the Math.

The heart of the book covers topics that do not change much over time: technologies for harnessing alternative energy. Prices might change, but the fundamentals tend not to. Thus, Chapters 11 through 16 largely echo Do the Math content. Note that the writing itself is new, and has benefited from extensive student feedback to improve clarity and accessibility. So it’s not a cut-and-paste job, but the overall take-aways are going to be familiar to Do the Math readers. Chapter 17 is the book’s version of The Alternative Energy Matrix, and is the closest thing to cut-and-paste in the book, being billed as a slightly edited reproduction of an existing chapter in the State of the World 2013 book.

The two main changes in the alternative energy chapters have to do with solar prices going down (now at under $3/Watt for residential and $1/Watt for utility-scale installations; the panels themselves being $0.50/Watt) and new recommendations for wind-farm turbine spacing, lowering the estimated power per land area available. I also added state-by-state maps for hydroelectricity, wind, and solar photovoltaic utilization in the U.S., for four different attributes (total power, power per area, power per person, and capacity factor).

The last three chapters depart the most from Do the Math content, although containing familiar elements like an exploration of personality types and a description of the Energy Trap. Chapter 20 bears some resemblance to posts on household energy and dietary choices. But the packaging may be different enough that it does not feel like repetition of Do the Math.

The Epilogue is completely new, and likely of interest to Do the Math readers.

Appendix D is the most thoughtful Appendix. Of greatest interest will be D.3 on electric transportation, D.5 on the long view of human success, and D.6 on an evolutionary perspective regarding human intelligence and how that may or may not mesh well in the natural world.

Highlights of New Results

The following tidbits are arranged in chronological order, and for the sake of brevity only represent the more thought-provoking additions.

In Chapter 2, Figure 2.3 on lighting efficiency progress surprised me in that the same 2.3% growth rate adopted for Chapters 1 and 2 on growth of energy fits the lighting history rather well. If the trend continues, we reach theoretical limits well before century’s end.

Chapter 3 has one new development and one new presentation of interest. The development is the recognition that the population surge associated with a demographic transition is proportional to the exponential of the change in birth/death rate times the lag between declining death rate and declining birth rate (Figure 3.16). The factor can easily more than double the pre-transition population. The new presentation is in Figure 3.17, exposing how preposterous the “dream” scenario looks of advancing a growing population to “western” energy standards by the year 2100. Substances that facilitate such delusions are usually illegal.

The only thing I’ll say about Chapter 4 here is that I planted an (accurate) Easter egg in Figure 4.2—only applicable to the electronic version.

I was surprised by Figure 7.9, showing the U.S. as a literal super-power (as measured in Watts) in the mid-twentieth century—using more than 80% of global natural gas and over 70% of global petroleum. I don’t think it’s a coincidence that some Americans long to return to these “glory” years (not at all glorious for less privileged individuals, it should be noted). The mistake is thinking that it’s a matter of choice. America’s dominant role in the world had a resource foundation, and that ship has sailed. It’s not a matter of politics: it’s physics, and anger won’t solve it.

Figure 8.8 made an impression on me as well. A simple calculation based on discovery and consumption of conventional oil, as presented in Figure 8.7, provides a measure of how many years appear to remain in the resource. Simply dividing unconsumed reserves by current consumption gives a timescale, and this can be tracked as a function of time as new discoveries accumulate and consumption rate increases. The startling result is that the predicted endpoint has not budged from around the year 2050 for about four decades! I caution readers not to take this literally to mean that oil runs out in 2050. First, the plot only applies to conventional oil reserves. Second, reduced consumption rate due to scarcity, prices, policy directives, or suitable substitutes will mean a tapering beyond 2050 rather than abrupt termination. Still, it’s a relevant and alarming data point: conventional oil is unlikely to persist in its present dominance for even three more decades! I think that’s big news, people. How many decades old are you?

A number of new results accompany Chapter 9 on climate change. Most rewardingly, I “took it up a notch” from the previous calculations of annual and cumulative CO₂ emissions from fossil fuels and used annual data on fossil fuel use to produce a graphs of emissions from the three fossil fuels across time (Figure 9.3). Doing so shows coal’s prominence as the king of CO₂ emitters—now and throughout the past. Since we still have more coal than any other fossil fuel, it may just be the gift that keeps on giving. But most remarkable was the exercise of plotting the predicted emission on top of measurements in Figure 9.4. Prior to this, I was satisfied by getting the annual and cumulative emission numbers to match measurements. But to see it graphically: faithfully following the curvature and lying right atop the measurements brought a smile of despair to my face. The same approach lends itself well to exploring CO₂ emissions scenarios for fossil fuel expenditures going forward: what happens if we cease growth in consumption; if we replace all coal with natural gas; or if we taper off entirely by 2100 or 2050. Only the last, draconian option limits the ultimate temperature rise to 2.0°C, according to my math.

I also had some “fun” in Chapter 9 stepping through the process by which a radiative imbalance equilibrates (Figure 9.15), and computing the timescales for melting ice and heating up the ocean (section 9.4.2).

Box 13.3 in Chapter 13 looks at solar-powered transportation. Why had I never before computed that a Boeing 737 could only get 4% of its cruise power from direct solar power? It’s an important demonstration of physical limitations.

Box 14.3 computes the thickness of all life on the planet, if squashed to a uniform layer surrounding the globe. It’s 4 mm thick! Or should I say 4 mm thin? That’s precious thin: a fragile wafer. It’s what makes this planet special, and our own lives possible. That’s the ultimate treasure of the planet, and deserves every protection we can offer.

Figures 15.14 and 15.15 are my attempt to explain the origin of nuclear waste, and why the neutron-rich daughter nuclei are radioactive hazards. This resurfaces in Figure 15.19 on nuclear waste radiated power, which I derived from probabilities and decay energies found in the Chart of the Nuclides. On another front, a quick-and-dirty financial assessment for both fission and fusion does not put them in a favorable light against (also expensive) solar, while solar is much safer.

The only good part about Chapter 16 is the fish duo in Figure 16.2.

Box 17.1 is a bit of a follow-up to Box 13.3 on solar transportation, exploring electric (battery-powered) passenger airplanes, concluding that for the same “fuel” load, range would be cut by a factor of 20 (to about 200 km), making them sort-of useless.

Chapter 17 also introduces an alternative scoring of the Matrix, based on student weights for the ten attributes of each source. I was interested to see if the fossil fuel gap persists (it does), and if the rankings change (mostly, they don’t).

Box 19.1 takes a stab at quantifying the dollar value of Earth. It’s a crude approach, and not entirely defensible. But even under dubious assumptions, the resulting price is so preposterously large that the point is fairly robust: Earth is far more valuable than our global annual economy, by as much as a factor of a million. Decisions based on money (i.e., most decisions) are therefore woefully misguided. Earth and its ecosystems should come first in societal decisions. Sorry if capitalism gets hurt in the process. Money ceases to have meaning without a life-bearing planet. Priorities!

Chapter 20 works to frame individual adaptation and quantitative assessment of energy footprints. The biggest new piece is the quantitative toolset developed in Section 20.3.4 for assessing dietary energy impact. I think this kind of analysis has the potential to meaningfully reshape our habits and expectations around food choices.

Section D.3 in the Appendices represents a first attempt on my part to nail down the implications of electrified transport for shipping as well as personal transport. Part of the work was already done for Box 17.1 (airplanes), but I had never put pencil to paper on cargo ships or long-haul trucking. The results address the “why can’t we just…” musings on electrifying all transportation. It’s hard. Table D.2 is still new enough to me that I need to study it more and internalize it.

Big Stuff

Okay—that takes care of the nuts-and-bolts additions. What larger messages might emerge from the textbook that may not have been apparent in previous Do the Math content?

Life is Precious

Much of the focus of this blog, and of the textbook, is on energy and resources. But a consistent undercurrent advocates prioritizing nature above ourselves. See, for instance, the reference to Box 14.3 in the section above. Also, Box 19.1—in computing the monetary value of the planet—stresses the backwards way we assess value. We put the flea (economy) in charge of the dog (Earth), ignoring the important fact that the flea can’t live without the dog. An upcoming post will illustrate this theme in an absurd yet compelling manner.

In the end, as the Epilogue wraps up, I try to encapsulate this in a message to the future (but not too soon to adopt the message now!!): Treat nature at least as well as we treat ourselves. It’s a partnership, and the health of the former is a prerequisite to the health of the latter.

Focus on the Long Term

Chapters 18 and 19 discuss the limitations of short-term focus in the face of our challenges. Democracy and business interests tend to have a very short focus, making us vulnerable to the Energy Trap.

But Section D.5 in the Appendix takes this to an expansive vista. It starts with the observation that civilization (cities, agriculture) began roughly 10,000 years ago. Lest we be nearer our end than the beginning, we should be thinking about practices consistent with another 10,000 years on this planet, at least. Maintaining uninterrupted civilization (preserving knowledge without a catastrophic reset) for this long is what we will call successful. Failure to do so is, well, failure.

What would it take to achieve success? As spelled out in section D.5, almost nothing we do today contributes to ultimate success. Therefore most of our actions today only make failure more likely. To me, that is sad to contemplate. Each passing day that we do not prioritize the natural world makes ultimate success a more distant prospect.

Section D.6 follows this up with musings on the role of human intelligence in an evolutionary context. My conclusion is that evolution tinkers, and is capable of producing a being that is too smart to succeed. We have the power to create our own failure, and take many species down with us. It’s time to “ask not” what we can do with our power, but what we should do to best ensure a long, rewarding existence in partnership with the rest of nature.

This Moment is Abnormal

Perhaps the most important message the new textbook can convey is that the abnormality of the last few centuries has turned us into the worst judges of future possibilities. Several times in the book, I compare the present era to a fireworks show: dazzling, awe inspiring, and a short-lived exception to “normal” activity. At least we can appreciate the aberration that a fireworks display represents by comparing it to a longer baseline: we have a broader context. Yet for those born and raised entirely within the fireworks show, it is easy to understand how their world view would be badly distorted.

Margin note 12 in Chapter 2 and the one below it points out our tendency to extrapolate, and think that just because we got “lucky” once (finding and learning to exploit fossil fuels) does not mean the trend will continue indefinitely. People often process the abnormality of our time in a dangerous way: because people 200 years ago could not possibly have predicted the amazing life of today, we are equally ill-equipped to fathom the miracles of tomorrow. I appreciate the bigness of thought that it takes to conceive of this. It’s a fair and alluring point. But it also ignores data and context: physical limits; a “full” earth; exhaustion of one-time resources; climate change perils; systemic collapses in ecosystems around the globe. Please work harder to incorporate these “wrinkles” into an otherwise grand notion.

Somewhat relatedly, margin note 24 in Chapter 2 and note 11 in the Epilogue make reference to the “Boy Who Cried Wolf” parable. This is a story told by adults to caution kids against raising false alarms, as setting up a reflexive dismissal of “fake news” can have damaging consequences. But consider two overlooked aspects of this story: first, a wolf did eventually appear and wreak havoc; and second, shouldn’t the adults bear responsibility for not protecting the town? Is the child really to blame? What idiots would put the responsibility of town protection on a child? I say that the failure rests mostly on the adults. They should recognize that children are prone to false alarms, and admonish them for knowingly creating disruption—after checking on the possibility of a real threat, for goodness sake! They utterly dropped the ball, and paid the price.

I came to think as I put finishing touches on the textbook that if asked to pick one message to communicate with this book it would be that the recent highly anomalous past has cruelly misshapen our perception of future possibilities. I put this into the abstract (and the back cover of the paperback), and sprinkled it into the text as an afterthought (search the word fireworks for some instances). As important as this point is, its presence throughout is implicit. I will likely try to more directly integrate the thought into a future edition.

A grounded understanding that our time is grossly abnormal in the long view is, I think, a necessary first step in snapping out of our current mindset, shaking off fantastical dreams, and getting to work defining and implementing a future that can actually work. It’s time to break the spell.

help spread the word

I am too close/biased to judge whether this book has enough intrinsic merit and appeal to “catch on” and reach a broad audience. But people will not give it a chance and instructors won’t adopt it for classrooms if too few people even know about it.  Because I intentionally bypassed a for-profit publisher to make the book freely available, I lose the benefit of any publicity apparatus a publishing company might provide.  So it’s down to “the people” to let others know of its existence.  Fortunately, social media channels are well suited to this.  Please consider sharing this book with others (reference the link to the book, not this “inside baseball” post). I hope the book is written in a way that can draw people in and then inspire them to keep turning pages. If recommending to friends and family, perhaps think about targeting a section or two to avoid their feeling overwhelmed by a textbook-sized reading assignment.  If you can think of a personal connection to make it more directly relevant to them, all the better.

I don’t think I have ever asked for this sort of favor, and am not wholly comfortable with the appearance that I am shamelessly self-promoting here.  But since I receive no financial benefit (even from the printed book) or prospect of job promotion as a result, I can convince myself that it’s out of a hope that the book might have some power to change minds and play some small role in setting us onto a more successful path.  Call it optimism, bias, over-confidence, or whatever, but if the book can gain significant traction, then perhaps it deserves every chance and advantage.  If months or years go by, this “old news” textbook will no longer have the shiny luster of newness, and will be less likely to spark a flame equal to the task ahead of us.  The book may flop on its own (lack of) merits; then it flops—so be it. But let’s at least be able to say that it wasn’t for lack of trying to make people aware of its presence.

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