The Diversity of Life by E.O. Wilson (1992)

It is a failing of our species that we ignore and even despise the creatures whose lives sustain our own. (p.294)

Edward Osborne Wilson was born in 1929 and pursued a long career in biology, specialising in myrmecology, the study of ants, about which he came to be considered the world’s leading expert, and about which he published a massive textbook as well as countless research papers.

As well as his specialist scientific writing, Wilson has also published a series of (sometimes controversial) books about human nature, on collaborative species of animal (which led him to conceive the controversial theory of sociobiology), and about ecology and the environment.

(They’re controversial because he considers humans as just another complex life form, whose behaviour is dictated almost entirely by genetics and environment, discounting our ability to learn or change: beliefs which are opposed by liberals and progressives who believe humans can be transformed by education and culture.)

The Diversity of Life was an attempt to give an encyclopedic overview of life on earth – the myriads of life forms which create the dazzlingly complicated webs of life at all levels and in all parts of our planet – and then to inform the reader about the doleful devastation mankind is wreaking everywhere – and ends with some positive suggestions about how to try & save the environment, and the staggering diversity of life forms, before it’s too late.

The book is almost 30 years old but still so packed with information that maybe giving a synopsis of each chapter would be useful.


Part one – Violent nature, resilient life

1. Storm over the Amazon An impressionistic memoir of Wilson camping in the rainforest amid a tropical storm, which leads to musings about the phenomenal diversity of life forms in such places, and beyond, in all parts of the earth, from the Antarctic Ocean to deep sea, thermal vents.

2. Krakatau A vivid description of the eruption of Krakatoa leads into an account of how the sterile smoking stump of island left after the explosion was swiftly repopulated with all kinds of life forms within weeks of the catastrophe and now, 130 years later, is a completely repopulated tropical rainforest. Life survives and endures.

3. The Great Extinctions If the biggest volcanic explosion in recorded history can’t eliminate life, what can? Wilson explains the five big extinction events which the fossil record tells us about, when vast numbers of species were exterminated:

  • Ordovician 440 million years ago
  • Devonian 365 million years ago
  • Permian 245 million years ago
  • Triassic 210 million years ago
  • Cretaceous 66 million years ago

The last of these being the one which – supposedly – wiped out the dinosaurs, although Wilson points out that current knowledge suggests that dinosaur numbers were actually dropping off for millions of years before the actual ‘event’, whatever that was (most scientists think a massive meteor hit earth, a theory originally proposed by Luis Alvarez in 1980).

Anyway, the key thing is that the fossil record suggests that it took between five and 20 million years after each of these catastrophic events for the diversity of life to return to something like its pre-disaster levels.


Part two – Biodiversity rising

4. The Fundamental Unit A journey into evolutionary theory which quickly shows that many of its core concepts are deeply problematic and debated. Wilson clings to the notion of the species as the fundamental unit, because it makes sense of all biology –

A species is a population whose members are able to interbreed freely under natural conditions (p.36)

but concedes that other biologists give precedence to other concepts or levels of evolution, for example the population, the deme, or focus on genetics.

Which one you pick depends on your focus and priorities. The ‘species’ is a tricky concept to define, with the result that many biologists reach for subspecies (pp.58-61).

And that’s before you examine the record chronologically i.e. consider lineages of animals which we know stretch back for millions of years: at what point did one species slip into another? It depends. It depends what aspects you choose to focus on – DNA, or mating rituals, or wing length or diet or location.

The message is that the concepts of biology are precise and well-defined, but the real world is far more messy and complicated than, maybe, any human concepts can really fully capture.

5. New Species Wilson details all the processes by which new species have come about, introducing the concept of ‘intrinsic isolating mechanisms’, but going on to explain that these are endless. Almost any element in an environment, an organisms’s design or DNA might be an ‘isolating mechanism’, in the right circumstances. In other words, life forms are proliferating, mutating and changing constantly, all around us.

The possibility for error has no limit, and so intrinsic isolating mechanisms are endless in their variety. (p.51)

6. The forces of evolution Introduces us to a range of processes, operating at levels from genetics to entire populations, which drive evolutionary change, including:

  • genetic mutation
  • haploidy and diploidy (with an explanation of the cause of sickle-cell anaemia)
  • dominant and recessive genes
  • genotype (an individual’s collection of genes) and phenotype (the set of observable characteristics of an individual resulting from the interaction of its genotype with the environment)
  • allometry (rates of growth of different parts of an organism)
  • microevolution (at the genetic level) and macroevolution (at the level of environment and population)
  • the theory of punctuated equilibrium proposed by Niles Eldredge and Stephen Jay Gould (that evolution happens in burst followed by long periods of no-change)
  • species selection

7. Adaptive radiation An explanation of the concepts of adaptive radiation and evolutionary convergence, taking in Hawaiian honeycreepers, Darwin’s finches on the Galapagos Islands, the cichlid fish of Lake Victoria, the astonishing diversity of shark species, and the Great American Interchange which followed when the rise of the Panama Isthmus joined previously separated North and South America 2.5 million years ago.

Ecological release = population increase that occurs when a species is freed from limiting factors in its environment.

Ecological constraint = constriction in the presence of a competitor.

8. The unexplored biosphere Describes our astonishing ignorance of how many species there are in the world. Wilson gives the total number of named species as 1.4 million, 751,000 of them insects, but the chapter goes on to explain our complete ignorance of the life forms in the ocean depths, or in the rainforest canopies, and the vast black hole of our ignorance of bacteria.

There could be anything between 10 million and 100 million species on earth – nobody knows.

He explains the hierarchy of toxonomy of living things: kingdom, phylum or division, class, order, family, genus, species.

Equitability = the distribution of diversity in a given location.

9. The creation of ecosystems Keystone species hold a system together e.g. sea otters on the California coast (which ate sea urchins thus preventing the sea urchins eating the kelp, so giving rise to forests of kelp which supported numerous life forms including whales who gave birth close to the forests of kelp) or elephants in the savannah (who, by pushing over trees, create diverse habitats).

Elasticity.

The predator paradox – in many systems it’s been shown that removing the top predator decreases diversity).

Character displacement. Symbiosis. The opposite of extinction is species packing.

The latitudinal diversity gradient i.e. there is more diversity in tropical rainforests – 30% of bird species, probably over half of all species, live in the rainforests – various theories why this should be (heat from the sun = energy + prolonged rain).

10. Biodiversity reaches the peak The reasons why biodiversity has steadily increased since the Cambrian explosion 550 million years ago, including the four main steps in life on earth:

  1. the origin of life from prebiotic organic molecules 3.9 billion years ago
  2. eukaryotic organisms 1.8 billion years ago
  3. the Cambrian explosion 540 to 500 million years ago
  4. the evolution of the human mind from 1 million to 100,000 years ago.

Why there is more diversity, the smaller the creatures/scale – because, at their scale, there are so many more niches to make a living in.


Part three – The human impact

It’s simple. We are destroying the world’s ecosystems, exterminating untold numbers of species before we can even identify them and any practical benefits they may have.

11. The life and death of species ‘Almost all the species that have ever lived are extinct, and yet more are alive today than at any time in the past (p.204)

How long do species survive? From 1 to 10 million years, depending on size and type. Then again, it’s likely that orchids which make up 8% of all known flowering plants, might speciate, thrive and die out far faster in the innumerable microsites which suit them in mountainous tropics.

The area effect = the rise of biodiversity according to island size (ten times the size, double the number of species). Large body size means smaller population and greater risk of extinction. The metapopulation concept of species existence.

12. Biodiversity threatened Extinctions by their very nature are rarely observed. Wilson devotes some pages to the thesis that wherever prehistoric man spread – in North America 8,000 years ago, in Australia 30,000 years ago, in the Pacific islands between 2,000 and 500 years ago – they exterminated all the large animals.

Obviously, since then Western settlers and colonists have been finishing off the job, and he gives depressing figures about numbers of bird, frog, tree and other species which have been exterminated in the past few hundred years by Western man, by colonists.

And now we are in a new era when exponentially growing populations of Third World countries are ravaging their own landscapes. He gives a list of 18 ‘hotspots’ (New Caledonia, Borneo, Ecuador) where half or more of the original rainforests has been heart-breakingly destroyed.

13. Unmined riches The idea that mankind should place a cash value on rainforests and other areas of diversity (coral reefs) in order to pay locals not to destroy them. Wilson gives the standard list of useful medicines and drugs we have discovered in remote and unexpected plants, wondering how many other useful, maybe life-saving substances are being trashed and destroyed before we ever have the chance to discover them.

But why  should this be? He explains that the millions of existing species have evolved through uncountable trillions of chemical interactions at all levels, in uncountably vast types of locations and settings – and so have been in effect a vast biochemical laboratory of life, infinitely huger, more complex, and going on for billions of years longer than our own feeble human laboratory efforts.

He gives practical examples of natural diversity and human narrowness:

  • the crops we grow are a handful – 20 or so – of the tens of thousands known, many of which are more productive, but just culturally alien
  • same with animals – we still farm the ten of so animals which Bronze Age man domesticated 10,000 years ago when there is a world of more productive animals e.g. the giant Amazon river turtle, the green iguana, which both produce far more meat per hectare and cost than beef cattle
  • why do we still fish wild in the seas, devastating entire ecosystems, when we could produce more fish more efficiently in controlled farms?
  • the absolutely vital importance of maintaining wild stocks and varieties of species we grow for food:
    • when in the 1970s the grassy-stunt virus devastated rice crops it was only the lucky chance that a remote Indian rice species contained genes which granted immunity to the virus and so could be cross-bred with commercial varieties which saved the world’s rice
    • it was only because wild varieties of coffee still grew in Ethiopia that genes could be isolated from them and cross-bred into commercial coffee crops in Latin America which saved them from devastation by ‘coffee rust’
  • wipe out the rainforests and other hotspots of diversity, and there go your fallback species

14. Resolution As ‘the human juggernaut’ staggers on, destroying all in its path, what is to be done? Wilson suggests a list:

  1. Survey the world’s flora and fauna – an epic task, particularly as there are maybe only 1,500 scientists in the whole world qualified to do it
  2. Create biological wealth – via ‘chemical prospecting’ i.e. looking for chemicals produced by organisms which might have practical applications (he gives a list of such discoveries)
  3. Promote sustainable development – for example strip logging to replace slash and burn, with numerous examples
  4. Wilson critiques the arguments for
    • cryogenically freezing species
    • seed banks
    • zoos
  5. They can only save a tiny fraction of species, and then only a handful of samples – but the key factor is that all organisms can only exist in fantastically complicated ecosystems, which no freezing or zoosor seed banks can preserve. There is no alternative to complete preservation of existing wilderness

15. The environmental ethic A final summing up. We are living through the sixth great extinction. Between a tenth and a quarter of all the world’s species will be wiped out in the next 50 years.

Having dispensed with the ad hoc and limited attempts at salvage outlined above, Wilson concludes that the only viable way to maintain even a fraction of the world’s biodiversity is to identify the world’s biodiversity ‘hot spots’ and preserve the entire ecosystems.

Each ecosystem has intrinsic value (p.148)

In the last few pages he makes the ‘deepest’ plea for conservation based on what he calls biophilia – this is that there is all kinds of evidence that humans need nature: we were produced over 2 million years of evolution and are descended from animals which themselves have encoded in the genes for their brains and nervous systems all kinds of interactions with the environment, with sun and moon, and rain and heat, and water and food, with rustling grasses and sheltering trees.

The most basic reason for making heroic efforts to preserve biodiversity is that at a really fundamental level, we need it to carry on feeling human.

On planet, one experiment (p.170)


Conclusion

Obviously, I know human beings are destroying the planet and exterminating other species at an unprecedented rate. Everyone who can read a newspaper or watch TV should know that by now, so the message of his book was over-familiar and sad.

But it was lovely to read again several passages whose imaginative brio had haunted me ever since I first read this book back in 1994:

  • the opening rich and impressionistic description of the rainforest
  • a gripping couple of pages at the start of chapter five where he describes what it would be like to set off at walking pace from the centre of the earth outwards, across the burning core, then into the cooler mantle and so on, suddenly emerging through topsoil into the air and walking through the extraordinary concentration of billions of life forms in a few minutes – we are that thin a layer on the surface of this spinning, hurtling planet
  • the couple of pages about sharks, whose weird diversity still astonishes
  • the brisk, no-nonsense account of how ‘native’ peoples or First Peoples were no tender-hearted environmentalists but hunted to death all the large megafauna wherever they spread
  • the dazzling description of all the organisms which are found in just one pinch of topsoil

As to the message, that we must try and preserve the diversity of life and respect the delicate ecosystems on which our existence ultimately depends – well, that seems to have been soundly ignored more or less everywhere, over the past thirty years since the book was published.

Credit

The Diversity of Life by Edward O. Wilson was published by the Harvard University Press in 1992. All references are to the 1994 Penguin paperback edition.


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Nature’s Numbers by Ian Stewart (1995)

Ian Stewart is a mathematician and prolific author, having written over 40 books on all aspects of maths, as well as publishing several guides to the maths used in Terry Pratchett’s Discworld books, writing half a dozen textbooks for students, and co-authoring a couple of science fiction novels.

Stewart writes in a marvellously clear style but, more importantly, he is interesting: he sees the world in an interesting way, in a mathematical way, and manages to convey the wonder and strangeness and powerful insights which seeing the world in terms of patterns and shapes, numbers and maths, gives you.

He wants to help us see the world as a mathematician sees it, full of clues and information which can lead us to deeper and deeper appreciation of the patterns and harmonies all around us. It makes for a wonderfully illuminating read.

1. The Natural Order

Thus Stewart begins the book by describing just some of nature’s multitude of patterns: the regular movements of the stars in the night sky; the sixfold symmetry of snowflakes; the stripes of tigers and zebras; the recurring patterns of sand dunes; rainbows; the spiral of a snail’s shell; why nearly all flowers have petals arranged in one of the following numbers 5, 8, 13, 21, 34, 55, 89; the regular patterns or ‘rhythms’ made by animals scuttling, walking, flying and swimming.

2. What Mathematics is For

Mathematics is brilliant at helping us to solve puzzles. It is a more or less systematic way of digging out the rules and structures that lie behind some observed pattern or regularity, and then using those rules and structures to explain what’s going on. (p.16)

Having gotten our attention, Stewart trots through the history of major mathematical discoveries including Kepler discovering that the planets move not in circles but in ellipses; the discovery that the nature of acceleration is ‘not a fundamental quality, but a rate of change’, then Newton and Leibniz inventing calculus to help us work outcomplex rates of change, and so on.

Two of the main things that maths are for are 1. providing the tools which let scientists understand what nature is doing 2. providing new theoretical questions for mathematicians to explore further. These are handy rules of thumb for distinguishing between, respectively, applied and pure mathematics.

Stewart mentions one of the oddities, paradoxes or thought-provoking things that crops up in many science books, which is the eerie way that good mathematics, mathematics well done, whatever its source and no matter how abstract its origin, eventually turns out to be useful, to be applicable to the real world, to explain some aspect of nature.

Many philosophers have wondered why. Is there a deep congruence between the human mind and the structure of the universe? Did God make the universe mathematically and implant an understanding of maths in us? Is the universe made of maths?

Stewart’s answer is simple and elegant: he thinks that nature exploits every pattern that there is, which is why we keep discovering patterns everywhere. We humans express these patterns in numbers, but nature doesn’t use numbers as such – she uses the patterns and shapes and possibilities which the numbers express or define.

Mendel noticing the numerical relationships with which characteristics of peas are expressed when they are crossbred. The double helix structure of DNA. Computer simulations of the evolution of the eye from an initial mutation creating a patch of skin cells sensitive to light, published by Daniel Nilsson and Susanne Pelger in 1994. Pattern appears wherever we look.

Resonance = the relationship between periodically moving bodies in which their cycles lock together so that they take up the same relative positions at regular intervals. The cycle time is the period of the system. The individual bodies have different periods. The moon’s rotational period is the same as its revolution around the earth, so there is a 1:1 resonance of its orbital and rotational periods.

Mathematics doesn’t just analyse, it can predict, predict how all kinds of systems will work, from the aerodynamics which keep planes flying, to the amount of fertiliser required to increase crop yield, to the complicated calculations which keep communications satellites in orbit round the earth and therefore sustain our internet and mobile phone networks.

Time lags The gap between a new mathematical idea being developed and its practical implementation can be a century or more: it was 17th century interest in the mathematics of vibrating violin strings which led, three hundred years later, to the invention of radio, radar and TV.

3. What Mathematics is About

The word ‘number’ does not have any immutable, God-given meaning. (p.42)

Numbers are the most prominent part of mathematics and everyone is taught arithmetic at school, but numbers are just one type of object that mathematics is interested in.

Stewart outlines the invention of whole numbers, and then of fractions. Some time in the Dark Ages the invention of 0. The invention of negative numbers, then of square roots. Irrational numbers. ‘Real’ numbers.

Whole numbers 1, 2, 3… are known as the natural numbers. If you include negative whole numbers, the series is known as integers. Positive and negative numbers taken together are known as rational numbers. Then there are real numbers and complex numbers. Five systems in total.

But maths is also about operations such as addition, subtraction, multiplication and division. And functions, also known as transformations, rules for transforming one mathematical object into another. Many of these processes can be thought of as things which help to create data structures.

Maths is like a landscape in which similar proofs and theories cluster together to create peaks and troughs.

4. The Constants of Change

Newton’s basic insight was that changes in nature can be described by mathematical processes. Stewart explains how detailed consideration of what happens to a cannonball fired out of a cannon helps us towards Newton’s fundamental law, that force = mass x acceleration.

Newton invented calculus to help work out solutions to moving bodies. Its two basic operations – integration and differentiation – mean that, given one element – force, mass or acceleration – you can work out the other two. Differentiation is the technique for finding rates of change; integration is the technique for ‘undoing’ the effect of differentiation in order to isolate out the initial variables.

Calculating rates of change is a crucial aspect of maths, engineering, cosmology and many other areas of science.

5. From Violins to Videos

He gives a fascinating historical recap of how initial investigations into the way a violin string vibrates gave rise to formulae and equations which turned out to be useful in mapping electricity and magnetism, which turned out to be aspects of the same fundamental force, electromagnetism. It was understanding this which underpinned the invention of radio, radar, TV etc and Stewart’s account describes the contributions made by Michael Faraday, James Clerk Maxwell, Heinrich Hertz and Guglielmo Marconi.

Stewart makes the point that mathematical theory tends to start with the simple and immediate and grow ever-more complicated. This is because of a basic approach common in lots of mathematics which is that, you have to start somewhere.

6. Broken Symmetry

A symmetry of an object or system is any transformation that leaves it invariant. (p.87)

There are many types of symmetry. The most important ones are reflections, rotations and translations.

7. The Rhythm of Life

The nature of oscillation and Hopf bifurcation (if a simplified system wobbles, then so must the complex system it is derived from) leads into a discussion of how animals – specifically animals with legs – move, which turns out to be by staggered or syncopated oscillations, oscillations of muscles triggered by neural circuits in the brain.

This is a subject Stewart has written about elsewhere and is something of an expert on. Thus he tells us that the seven types of quadrupedal gait are: the trot, pace, bound, walk, rotary gallop, transverse gallop, and canter.

8. Do Dice Play God?

This chapter covers Stewart’s take on chaos theory.

Chaotic behaviour obeys deterministic laws, but is so irregular that to the untrained eye it looks pretty much random. Chaos is not complicated, patternless behaviour; it is much more subtle. Chaos is apparently complicated, apparently patternless behaviour that actually has a simple, deterministic explanation. (p.130)

19th century scientists thought that, if you knew the starting conditions, and then the rules governing any system, you could completely predict the outcomes. In the 1970s and 80s it became increasingly clear that this was wrong. It is impossible because you can never define the starting conditions with complete certainty.

Thus all real world behaviours are subject to ‘sensitivity to initial conditions’. From minuscule divergences at the starting point, cataclysmic differences may eventually emerge in mature systems.

Stewart goes on to explain the concept of ‘phase space’ developed by Henri Poincaré: this is an imaginary mathematical space that represents all possible motions in a given dynamic system. The phase space is the 3-D place in which you plot the behaviour in order to create the phase portrait. Instead of having to define a formula and worrying about identifying every number of the behaviour, the general shape can be determined.

Much use of phase portraits has shown that dynamic systems tend to have set shapes which emerge and which systems move towards. These are called attractors.

9. Drops, Dynamics and Daisies

The book ends by drawing some philosophical conclusions.

Chaos theory has all sorts of implications but the one Stewart closes on is this: the world is not chaotic; if anything, it is boringly predictable. And at the level of basic physics and maths, the laws which seem to underpin it are also schematic and simple. And yet, what we are only really beginning to appreciate is how complicated things are in the middle.

It is as if nature can only get from simple laws (like Newton’s incredibly simple law of thermodynamics) to fairly simple outcomes (the orbit of the planets) via almost incomprehensibly complex processes.

To end, Stewart gives us three examples of the way apparently ‘simple’ phenomena in nature derive from stupefying complexity:

  • what exactly happens when a drop of water falls off a tap
  • computer modelling of the growth of fox and rabbit populations
  • why petals on flowers are arranged in numbers derived from the Fibonacci sequence

In all three cases the underlying principles seem to be resolvable into easily stated laws and functions – and in our everyday lives we see water dropping off taps or flowerheads all the time – and yet the intermediate steps between simple mathematical principles and real world embodiment turn out to be mind-bogglingly complex.

Coda: Morphomatics

Stewart ends the book with an epilogue speculating, hoping and wishing for a new kind of mathematics which incorporates chaos theory and the other elements he’s discussed – a theory and study of form, which takes everything we already know about mathematics and seeks to work out how the almost incomprehensible complexity we are discovering in nature gives rise to all the ‘simple’ patterns which we see around us. He calls it morphomatics.

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