Tag Archives: climate change

Travels Around An English Spring…. Graveyards, and the Strange Case of Sherlock Holmes’ Pipe.

Each year I return to Southern England from British Columbia to visit my father, and during late March and early April catch up on what an English spring has to offer. This year was a bit different though, I arrived a little later than usual to attend my step-mother’s funeral and take time with my father after the sad event.

My father lives to the west of Southampton Water close to the New Forest; and having spent a lot of time filming and taking photographs in the area, I can seldom resist the opportunity to visit places familiar to me from childhood.

Natural England have calculated that The New Forest requires around 5,000 stock animals (ponies and cattle) to maintain its character, but today that figure is likely to be nearer 13,000 animals, munching away to create a cropped green baize that is snookering the ecology of this complex environment, but I still enjoyed being out there despite a degraded habitat.

 My wife’s mother lives to the east on Portsmouth Harbour and travelling back and forth between my father’s home and hers provided a good opportunity to witness this years unusual spring as a great many wild flowers were showing much earlier than expected.

On the 6th of April we drove from Fareham out through the Meon Valley and despite the dullness of the day the views were spectacular with hedgerows full of flowering Blackthorn Prunus spinosa, producing one of the most impressive Hampshire Blackthorn seasons I have ever witnessed.

Blackthorn (also known as sloe) in bloom close by Exton in the Meon Valley.
Hawthorne leaves are a very distinctive shape, these photographed on the Forest the same day as the blackthorn flowers below; it will be some days before the Hawthorne flowers begin to show.

I often see complicated descriptions on how to differentiate Blackthorn from Hawthorne Crataegus monogyna, by comparing flowers, but the two are easily identifiable once you are aware that Hawthorne comes into flower much later in the spring than does Blackthorn, and usually after the blackthorn flowers are over. The leaves of Blackthorn always appear after the flower have opened and appear ovate. Hawthorne leaves always show before their flowers and have characteristically indented margins (see picture), and so there is really no need to complicate the issue by making comparisons between flowers. Hawthorne is the only British plant to be named after a month; and the name of May tree is an indication as to when it was once most commonly seen in flower.

By the 17th of April the Blackthorn had been in flower for some time, and only now are some leaves beginning to show.

Blackthorn and Hawthorne are frequently used for hedge laying and we were able to see a good example at Manor Farm close by the River Hamble, this before too many leaves had emerged to hide the detail. A properly laid hedge such as this will provide a structure that is impossible for stock animals to push through.

The cut to lay the hedge seems extreme, but usually such hedges survive, and more often than not, thrive.

A few days later I was back on the New Forest and quite disappointed by the amount of litter that had been scattered close by road sides, presumably thrown from passing cars. It is as if the British have no conception of how beautiful their countryside is and one of the reasons I was happy to leave the U.K. I became genuinely disturbed by the British attitude towards littering… People seem happy to live with it and I have no idea why.

Verging on the dangerous, especially where animals are grazing.

There are of course a great many well intentioned individuals trying to clear up the rubbish, but as quickly as they pick the stuff up, others are chucking it down. I am pleased to say that on my most recent visit I noticed an improvement from last year, but there was still no shortage of trash along verges, particularly at cattle grids where vehicles inevitably slow, providing a better opportunity to hurl litter out without fear of it blowing back in.

N.b Rubbish is not of course entirely a U.K. problem. I note that Canadians produce more of it per head than almost any other country, but they dump far less of it along roadsides than do the British. Canada it seems has accidentally sent quite a lot of its waste off to the Philippines, which, at the time of writing, has been piling up in boats along the docks of Manila. According to the country’s president it is no longer welcome, and might soon be returned to where it came from.

More generally The New Forest appears little changed from the way it was when I was here last spring, its natural environments remain in decline, which is almost entirely due to overgrazing: I know I have written about this before and was hoping for an improvement, but on visiting a favourite area  in the Beaulieu Marchwood area I discovered that nothing much had changed. If I was cynical I might think that somebody in authority was getting paid to claim overgrazing is not really a problem when so clearly it is; but of course I wouldn’t say that because such a thing would be unthinkable. What must be happening is that somebody with a greater understanding of New Forest management than I, is attempting something imperceptibly clever that I’ve failed to recognise. Whatever I might feel about the situation, there are many who don’t recognise the problem, in particular some of the commoners who receive subsidies to graze their stock on the Forest in what in recent years has become alarmingly high numbers.

Frog spawn in a slow flowing stream from which most of the tadpoles have developed and resting on weed beneath this gelatinous egg mass.

I noticed along my favourite little slow flowing stream that common frogs had spawned. I saw three clumps where it usually shows up early in the year. I first started noticing frog spawn here in the early 1970s, but I didn’t see any sign that toads had spawned which I would have expected, and there were no grass snakes or adders in the area, although both were once common here. The only other wild animal I noticed was a male brimstone butterfly, Gonepteryx rhamni in flight, clearly on its way to somewhere far more interesting.

A broader stream once well protected from visiting stock by dense undergrowth is now a barren wasteland. I mentioned in a previous article watching a manic male adder moving rapidly through a scrubby bush here, stopping only briefly to take a look into a dartford warblers nest, but there is no chance of seeing anything like that now.

There is no cover along the edge of this stream – its banks have been broken down by stock animals visiting to drink, which is bad news for both natural diversity and water quality.

There was no sign of any ground nesting birds on the open heath… which is now almost completely lawn; and nearby oaks have been felled close by the stream. I have always understood the need for heathland management, but prefer it when habitats are as diverse as possible. I really don’t see any environmental improvements in a place I know quite well, but with only around 50 years making observations of this unique habitat I should perhaps ask myself – what do I know?

Felling oaks here might simply be a question of management; growing in such a wet area they might have been suffering from rot, but why not leave the felled trees as a natural resource?

My father and mother-in-law have a combined age of about 190 but despite this they have interests that usually get me out and about. My father likes to lunch in old pubs and my mother-in-law particularly enjoys being driven through the English countryside. We combine the two and I stop to take pictures whenever I see something interesting, although I restrict my activities to just a short distance from the car.

A Rhodesian Ridgeback in The Trusty Servant. Minstead. His owner told me that he weighs around 9 stone and he eats lions for breakfast.

This spring, I’ve eaten in a lot of old timber framed buildings, seen a lot of dogs lying on flagstone floors; and I’ve travelled through large tracts of Hampshire countryside witnessing a wide variety of  wild-flowers – many in churchyards. I have very little interest in Gods of any kind, but find myself comfortable in places such as these: it is as if time has stood still for a very long time and you can glimpse the past, even if my view is an over simplified romantic version of the truth as moats of dust float in the coloured light of stained glass windows, and old churchyards tumble with a deluge of beautiful flowers.

It is inevitable that my father and I will visit St Nicholas Church at Brockenhurst, because. I spent the best part of a year making a B.B.C. natural history film there – and the other thing – my mother is buried in the graveyard.

St Nicholas is said to be the oldest Church in the New Forest.
Peter Reeves with his dogs in the churchyard 1983.

This yard is particularly spectacular because an effort has been made to leave cutting the grass until the spring flowers are over. I was not surprised to see celandine, wood anemone and primroses at this time of year, but was too late for most of the daffodils, which was no great loss as I have a preference truly wild flowers.

Certainly  things have not changed a great deal since I filmed here through 1983; back then the real guarantee that natural history would come first and the yard remain un-mowed until the spring flowers were over was the presence of Peter Reeves who was then looking after the yard. Peter was a knowledgable naturalist and sympathetic to all the wildlife that lived here.

By the 7th April 2019 bluebells were beginning to show amongst wood anemones and celandines in the old yard.

This greater understanding of managing natural areas has been taken up by many churchyards with the tidy brigade held at bay until the bluebells have gone over; this more sympathetic environmental approach during spring is steadily catching on and preserving the beauty of a great many wildflower habitats including roadside verges.

I can’t feature every churchyard I visited, and so I’ve gone for a trio of Hampshire ‘All Saint’s’.

All Saints Dibden is tidy around the edges but much has been left uncut to benefit spring flowers.

According to a lady putting flowers on a grave in the churchyard ‘All Saints’ has just two people in the congregation for a Sunday service: a reminder that low attendance is now a common problem for many country churches around Britain. If I lived close to a very old church that was as beautiful as this one, maybe even I’d attend if I thought it would help keep the place open. So many old churches are now being sold off to become domestic dwellings and in future we might not be able to visit them so freely. This will be a great loss.

A place for primroses in All Saints chruchyard.

We go in search for history in books and on the internet but so much is still contained in beautiful old buildings like ‘All Saints’. Inside the church the incumbents are listed from 1262 to the present day.

The climate is beginning to change

and there is little it seems that we as individuals can do about it, the problem requires a worldwide and concerted effort to halt the transformations that are now occurring. In this part of the world without so many frosty mornings in early spring wild flowers have been coming into flower much earlier than they once did. Some animal species such as amphibians have behavioural queues for activities such as spawning that are often set by day length rather than temperature – this is the reason some amphibian species may be seen gathering beneath ice in preparation for spawning even when it is still very cold.  The opening of  spring flowers on the other hand is in part controlled by temperature and in northern temperate regions spring flowers have been opening earlier year by year in line with the warmer conditions. During my April stay in southern England, wood anemone, celandines and  wood violet were doing nicely and by the third week of the month bluebells were in flower with their arching racemes beginning to stand upright.

By the 17th March bluebells were well developed in woodland close to the Hamble River.

The problem with this eventuality is that nectar food sources concentrated as they are now, earlier in the spring, may mean less availability for insects later in the season with some pollinating insects experiencing a restricted choice: many insects are programmed to visit flowers at a certain time and pollinators might find their usual food source either past its best or no longer available. There will of course be a degree of adaptation to changing circumstances but this more condensed flowering period is a novelty that is increasingly becoming the norm.

Primroses Brockenhurst churchyard 7th April.

My mother-in-law during our drives through the Meon Valley and along the Hamble River was delighted to see so many early flowers, but she won’t have to rely on flowering plants for her lunch through May when the many we are presently  seeing have gone over.

My father and I in search of the missing dead.

On one of our days out we were driving out of Fareham, this a place where my father had spent most of his childhood , and  it wasn’t long before we were passing a cemetery and my father said, “The last time I was here was in the 1930s at a relatives funeral”. I at once pulled the car over. “Do you remember where the burial was?” I asked. “I think so”. he replied. and so I drove back and we started our search, but it was fruitless; if there had been a gravestone to commemorate the event, it had long since gone.

A grey day in Wickham Road Cemetary where some of my relatives are buried.

Wickham was coincidentally also our next destination, but a much better end point than the Wickham Road Cemetary’s version of a next and more final destination.  We were soon travelling to a far more agreeable place – the tea rooms in the Hampshire village of Wickham which was not so very far away, and who cares that we’d only recently managed to get through a pub lunch; certainly not my father who has never been known to refuse anything that looks like a bun or an ice cream. A jam and cream filled scone would  not to sit long on any plate within an easy reaching distance.

On a cool afternoon younger, braver people eat outside at Lilly’s, but less resilient older types choose to be on the warmer side of the wall.

When our children were small my wife and I spent endless afternoons in search of a perfect cream tea, travelling through Hampshire, Dorset and the Isle of Wight… So, we’d been here before as a family. Our most favoured tearooms usually involved a garden where we would mostly be at war with local wasps, but on this cool spring day we preferred to eat indoors, although inside or out, a cream tea in Wickham has so far never been a disappointment to me.

The second ‘All Saints’.

Once fuelled up we continued to drive on through the local area. Our final final destination would be East Meon where I have in the past also worked on film projects at All Saint’s Church.

All Saint’s at East Meon is architecturally, one of the most interesting churches in England.
Sheep grazing in All Saints churchyard 1994.

I’ve photographed sheep grazing in this yard on various occasions – by selective grazing they maintain the churchyards meadowland habitat. I have also filmed jackdaws nesting in one of the tower’s upper round windows where walking out along a beam was scary enough, but when that beam turned out to be an unattached plank which began to swing down as I moved along it, I suddenly became a cartoon character scrambling back from whence I’ had come to avoid a potentially more permanent stay down in the yard.

My stay in England then was for me a pleasant trade off. Most days I’d visit a churchyard and most days eat with my father in a local pub

One of my favourite pictures was taken on Park Hill to publicise a film with my son and I looking out over All Saints Church East Meon during the summer of 1994.

Completing the ‘All Saints Trio:

For a while I’d be thinking about Sir Arthur Conan Doyle’s grave at All Saints, Minstead, which is yet another beautiful old New Forest church and as it is not very far from my father’s home we decided to make an early evening visit and then go on to the pub.

Two years ago my father sat in front of Conan Doyle’s grave with my step-mother, but this year sits alone.

Sir Arthur’s body was originally buried in the garden of his nearby family home – it is claimed upright, in line with his rather unusual beliefs. He was a spiritualist and when his old home was sold in 1955 his body was re-interred at ‘All Saints’ Minstead: this was not entirely a popular decisions as his beliefs were even more unusual than the Christian ones in death he appeared to be involuntarily joining. His body was sited  far enough away from the church so as not to offend  Christian sensibility; but we can’t be sure what Sir Arthur thought about the move; as far as we know he has not been in contact with the living to express his opinion. There is no doubt however that these beautiful surroundings are a fitting place for the man who created the world’s most famous fictional detective.

All Saints Church, Minstead.

During my childhood it did not escape my notice that my father would occasionally smoke a Sherlock Holmes pipe; and far more recently I noticed that people were leaving pipes on Conan Doyle’s grave, which to my mind were the wrong sort of pipes; and so it was I went in search of my father’s, which I considered to be the most authentic – ‘the one true pipe’. After a bit of searching I found it in the top of my father’s wardrobe and brought it with us to be photographed at the grave, much to the amusement of my father; which was far and away the best reason for doing it, because keeping him cheerful was the priority.

The ‘One True Pipe’.

Nothing is quite as it seems though: according to Conan Doyle, Holmes smoked several different types of pipe including a long stemmed cherrywood, a clay and a briar, but the ‘one true pipe’ as far as I was concerned was the curved one I’d seen in film versions of the Sherlock Holmes detective stories. With just a little research I soon discovered that a pipe with a curved stem makes it easier for an actor to speak with when held in the mouth – it is a question of balance – and it seems this form does not come directly from the original stories. It was suddenly clear that  I had preconceived ideas concerning ‘the one true pipe’ and was wrong. There is a lesson here for us all. Nevertheless, I can’t stop thinking that ‘the one true pipe’ is the most photogenic of all the possibilities… surely that’s worth considering, at least as a reason for not being entirely wrong…

In the grand scheme of things I wasn’t that concerned about the fictional use of a pipe; my main reason for being in the churchyard was, as usual, dictated by an interest in natural history. I have always been fascinated by lichens growing on gravestones and those in  ‘All Saints’ churchyard are quite spectacular.

The study of lichens to see how competitive they are might in future be used as a model to gain a better understanding of how life forms cope when living in stressful communities.

Providing a tombstone is cut from soft limestone or sandstone rather than a hard polished granite, it will in Britain’s climate provide ideal conditions for lichen growth, but this can be a slow process. Lichens exist by mutualism, they are formed by a stable symbiotic relationship between  algae and fungi which produces an organism that is very much different from its component parts.

Lichens on a tombstone or abstract art?

Living immobile on a rock through the varied extremes of the seasons is a clever trick if you can pull it off; and I will admit that for many years I thought that the birds I saw landing on stones in churchyards were providing nutrients in their droppings that would aid growth, but as lichens do not have roots and rely almost entirely upon photosynthesis for their nutrition I should probably reconsider what I have supposed without the benefit of evidence: sometimes it’s hard to let go of preconceived ideas, whether they be a doctrinal belief, authenticating pipes in fiction, or how a lichen gains its nutrition. I know for a fact that in the last case, proof will come from careful observation and science will probably have all the answers; but it is the one subject out of all those mentioned that will interest most the least.

As the light faded we finally made it to the Trusty Servant.

Our minds do not usually favour truths over a good story and so if I am going to feature lichens there is a better chance of interesting readers if I happen to mention Sherlock Holmes’ pipe.  

With regard to lichens benefiting from the presence of bird droppings: I have just found a scientific paper that shows that bird droppings do increase the growth of some lichen species and slows the growth of others.

To be honest, I probably didn’t need to travel a quarter of the way around the world and stand in an English churchyard to discover that what I think I know, isn’t really what I know at all; and if this doesn’t quite work for me, maybe I could ditch science altogether and go with a more general approach by looking at the many alternative facts, that given half a chance, will suddenly pop into my mind.



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UP, UP AND AWAY. From Ebola to Exponential and Beyond.

Perhaps the most reliable way to ‘save the planet’ is to take a picture that has been constructed by using mathematics and arithmetic; these exist in a variety of forms, but most commonly they are represented as charts or graphs that can provide at a glance, information on any subject for which there is reliable data, and graphs in particular are good at showing numerical change against a baseline of time.

I’m one of those unfortunates who have trouble adding up a column of figures – seldom do I get the same total twice – even with a calculator! That’s discouraging, but it’s not a valid excuse to give up.  And mathematics doesn’t come any easier, but let’s face it, we owe it to the planet to try, because mathematics is the key to measuring everything important that is going on around us.

A politician or national spokesman who says, ‘I’m just hopeless with maths’ or ‘math’ (depending on where they are standing) and then laughs it off, should be looking elsewhere for work. There is understandable concern when the people who represent us do not usually have backgrounds in mathematics or science – political science doesn’t count, because that’s an oxymoron. Anyway, the ‘I don’t get mathematics’ excuse is unacceptable from any elected official and we should urge them to ‘try harder’.

When I heard a health spokesman say recently that the Ebola virus epidemic in West Africa was growing exponentially month by month there was obvious cause for concern. The spokesmen then gave the number of infections that occured during the previous month followed by the predicted figure for the month to follow, and the figures were exactly the same. This implied that he either didn’t understand exponential, or the increase wasn’t exponential at all. The statement was confusing: was the  rate of infection steady and controllable? Or was it expanding  exponentially, suggesting that  heading for the hills was the best possible option?

Understanding exponential growth shouldn’t be a problem. Most small children can draw it, even if they can’t describe the outcome.

Little Timmy can't say the word, but he can certainly draw it - a simple example of exponential growth.
Little Timmy can’t say the word, but he can draw a simple example. Here, a single person infects two others and if the disease is passed on in the same manner, the infection quickly gets out of control. This kind of growth applies to many things including human population growth.

In everyday life, most people don’t think much beyond arithmetic progressions, where the increase between numbers is constant.  But exponential growth is nothing like that. Once you start down the road to exponential, by doubling up, it isn’t long before the figures are mind blowingly large, and if they relate to a dangerous disease that goes unchecked, no health service on the planet will be able to deal with it.

There is an ancient Persian story that explains the process well. An inventor who pleased his king with a wonderful invention was asked to name his reward; but he at once disappointed the ruler with the seemingly meagreness of his choice. The inventor asked for grains of wheat to be placed upon a chess board in the following manner: one grain on the first square, two grains on the second, four on the third, eight on the fourth, 16 on the fifth and so on, until all of the 64 squares were covered. The numbers start small and most of us don’t think much beyond the 8th square where the total hits 128 grains, which isn’t an outrageous figure. Quite a surprise then to discover that to reach the 64th square requires 18,446,744,073,709,551,615 grains of wheat – more wheat than was available in the whole kingdom. The tale is spun as  an example of intelligence winning the day, or alternatively, it is a story of cunning and greed –  the inventor either becomes ruler of the kingdom, or he loses his head.

In today’s world we might relate this story to pyramid selling where an investment doubles up every move it makes down the line and before long the numbers become vast, but by then, many individuals have dropped out of the scheme and never pay their contributions, while those who stay in begin to run out of suckers to sell to.

Telling a story is a great way to explain numerical change, but an artful graphs is a more visual approach. The two graphs below are free of annotation which allows the image to pass for art if you prefer it – perhaps as a late Matisse paper collage.

This could be a late period Matisse paper collage, but we might also consider it as representing two curves on a graph running along a base line of time. curves
Consider the above as two curves on a graph with a base line (or x axis) representing the passage of time, and a vertical (or y axis) representing the numbers or the density of an animal population increasing linearly as the line progresses upwards. This colourful ‘picture’,  interpreted correctly, contains enough information to save the planet .

The upper curve begins between yellow and red but continues for the most part  between yellow and green – it starts shallow, then rises exponentially before levelling off. This forms a ‘logistic curve’ first used by Pierre Verhurst  in the mid 1800s to show natural population growth where numbers are held to an upper limit by predation and availability of resources.

The lower curve that runs at first between red and yellow and then red and green takes time to rise, but when it does the line steepens rapidly – this is exponential growth that hasn’t levelled off. The world human population presently follows this ‘run away’ curve, but without infinite resources it cannot continue to grow in this manner. In a finitely resourced world the predictable result is a sudden levelling of the curve and a plummet downwards that mirrors the up. To alleviate suffering, it makes sense to control the drop – this really is a case of the higher you go the harder the fall.  Birth rates are presently falling across the developed world, but for economic reasons the numbers are usually bolstered by immigration (O.K. there will then be fewer people somewhere else, but that doesn’t regulate the population in places where people are genuinely trying to control their numbers).

The logistic curve along with the wave curve (see the predator prey relationship graphs below) apply to almost any species other than our own and they have longterm benefits for both the species and the environment – and make better models for longterm regulation than does uncontrolled exponential growth. All the information we need for responsible behaviour is contained within a couple of simple graphs, indicating that self regulation of human population is a better option than the inevitable collapse that continued exponential growth has in store .

Unfortunately, governments do not run economies with a view to longterm sustainably – they invariably opt for growth above all else, and are reluctant to make changes, preferring instead to pass the parcel onto the next generation – a ticking time bomb which they’ve chosen to ignore. Economies are run as if resources are infinite and without cost beyond extraction, refining and transportation. However, at a certain point, the Earth will no longer be able to sustain this, and if the present generation continues to charge up the steep end of exponential… future generations will be forced to pay the price, and will know that we had all the information available to make the right decisions, but instead carried on, business as usual.



Human population growth started off slowly.It is obvious that population wasn't a problem prior to 1800, but an agricultural revolution, an Industrail Revolution and the development of modern medicine has aided population growth and  when the graph is climbing as it is today, there is a genuine need for us to engage with the reality.
Human population growth started off slowly. Population growth clearly wasn’t a problem prior to 1800, but an Agricultural Revolution, an Industrial Revolution and the recent development of modern medicine have all helped to allow our numbers to grow exponentially and there is now a genuine need for us to engage with reality.

Things often start off slowly before exponential growth kicks in. With the human population nothing much changed for a very long time. There was even a period around70,000 years ago (long before the time line represented in the above graph), when the human population dropped so low we almost disappeared altogether.

It may well have been cooking meat and the development of  agriculture that started things moving, but there have been other set backs: the black death was a devastating pandemic and can be seen as a dip in the population graph around 1400. Prior to the plague weather conditions around the mid-1300s  were unfavourable, and throughout Europe crops repeatedly failed. It was a perfect storm of a disaster and millions died – but the loss of a third of Europe’s population did change the economy. Suddenly, there was a shortage of workers and for the first time in recorded history a more reasonable wage could be asked by those who survived the devastation. Poverty was still widespread, but many people were liberated from serfdom, and took the first steps along a path that generations later would drive the Agricultural Revolution, the Industrial Revolution and eventually the modern Western economic system we have today.

In the broadest sense exponential growth isn’t a disaster, it is often the way things increase in the natural world, but there are always boundaries. A fertilised ova wouldn’t develop at a rapid enough rate if cell growth wasn’t initially exponential, but once a certain functional level has been reached, cells are programmed to be replaced when and where they are needed – if they keep on dividing without control, we call it cancer.

Almost everything that relates to our rapidly increasing human population is unsustainable.  The graph below demonstrates a normal predator prey relationship where foxes are eating hares; it could equally be wolves preying on deer, or any number of other predator prey interactions.

Along a base line of time the green curve of prey animals increase, producing more food for predators which set the pattern for controlling the prey as the prey numbers decline, so do the predators. The winner is plants. Without the predators the world becomes less diverse as the plants are eaten. This of course is an oversimplification as there is a web of life, but the principal holds.
Along a base line of time, the green curve shows prey animals beginning to increase in number, thus producing more food for their predators, the foxes – shown in black. Foxes then increase in number, eat more hares and cause their prey to decline. Fox numbers begin to fall in response to the diminishing food supply and hare numbers pick up again – the process continues in a cyclical manner.

Other species also benefit as predator and prey numbers ebb and flow. Plants for example will escape total obliteration by hares and rabbits as predators reduce herbivore numbers. Without natural predation environments become less diverse as certain species are eaten beyond their capacity to regenerate. However, the predator prey graph is an oversimplification, and although the general principle holds true, the system is really a three dimensional web of life that demonstrates far greater complexity. We refer to a natural balance of nature, but the reality is closer to a series of peaks and troughs. If our human population followed closer to the logistic curve, modern technology would allow us to regulate against a roller coaster of loss and gain in a manner that can’t so easily be applied to the steep end of exponential growth.

Related closely to our population numbers is the extraction and burning of fossil fuels.

This graph shows the level of oil extraction (fossil fuel) and as would be expected it follows the same line of exponential growth for the human population. Coal extraction starts a fraction earlier on the time line, but follows the same exponential growth line.
This graph shows the level of oil (a fossil fuel) extraction.  As expected it follows the same line of exponential growth shown on the human population graph. Coal extraction starts a fraction earlier on the time line, but clearly follows a similar exponential growth curve.

It is impossible for us to remove and burn fossil fuels indefinitely, because such resources are finite and as time passes, these diminish and become increasingly difficult to extract. And another consideration is the effect that burning fossil fuels has on our atmosphere should we decide to try it.

The increasing emission of carbon into the atmosphere when fossil fuels are burned is clearly changing the Earth’s atmosphere.

Not surprisingly Carbon dioxide emissions due to the burning of fossil fuels also follows an exponential line.
The time line starts here at 1600 – before this time, man’s burning of fossil fuels was negligible, but when the Industrial Revolution kicked in Carbon dioxide emissions began to pick up and were soon growing exponentially. Once again the sudden ‘up’ part of the curve runs close to the curve for human population growth.

Burning fossil fuels has a special place in the grand scheme of things, because it increases the levels of Carbon dioxide in the atmosphere and that in turn increases global temperatures. Continuing to do so at an ever increasing rate not only changes the atmosphere, it also changes the weather and at a certain point these changes may be irreversible.

Some times politicians and spokesmen do know how to use the figures in their favour. Global temperatures are evidently rising, but what if they were to show you only the section on the red box?
Some politicians and spokesmen do appear to know how to use graphs when they work in their favour. Global temperatures are clearly rising, but what if you were shown only the section of graph in the red box?

If you looked only at a graph showing the period between 1950 to 1970 you’d consider global temperatures to be fairly stable.  There has also been a similar levelling of temperatures in recent years; these are the favoured areas for climate change sceptics to cherry pick their examples and tell us, ‘there’s nothing to worry about’, but unfortunately, there can be no denying the general temperature trend is upwards – the planet is warming, which supports the idea that it is necessary to always view the whole picture.

The Ebola infection figures discussed earlier do indeed appear to be growing exponentially (at the time of writing). The curve ran fairly level through May and June, which would have been the ideal time for the developed world to have moved in and defeated the disease before it took off. To have ignored this opportunity seems careless if not arrogant. The question is, if I can manage the calculation on the back of a cigarette packet (see below), why can’t those in power do the same. It would be generous to put the terrible suffering in West Africa down purely to ignorance, but sometimes it is suffering economies rather than suffering people that elicit the most rapid responses.

Below: an ‘on the back of a cigarette packet’ calculation derived from figures freely available from news reports. This was quite tricky – not the mathematics… it’s just that I don’t smoke.

A back of a piggy packet graph for Ebola infection. Hopefully the infection will now begin to come under control - an exponential doubling month by moth is almost too horrible to contemplate.
A back of a ciggy packet graph for Ebola infection shows more than 13,500 cases at the time of writing ( I drew this graph during October. Since then the figures have rapidly picked up and I’ve had to extend the graph upwards). Hopefully the infection will now begin to come under control – an exponential doubling month by moth as can be clearly seen between the beginning of October and the beginning of November is too horrible to contemplate. Potentially, there is a long way to go before the disease peaks and crashes naturally if it is allowed to spread unhindered.


So far there have been around 5,000 deaths due to Ebola and there will be many more in the coming months, but hopefully, now that medical help is arriving in the affected West African countries (better late than never), the infection will begin to come under control.

Whenever we hear a spokesman say that ‘growth is exponential’ it is good to be clear about what he or she means. Certainly this is important when it refers to human population growth; or the increasing use of fossil fuels; and the rapid spread of a contagious disease. In each case we need to ask the right questions, then be certain that our answers make sense, and last but not least, act as quickly as possible – and so far we have been unforgivably slack on the last one.

The ciggy packet slip aside, all of the simple ‘mathematical’ pictures shown above have been colourful, and without exception are easy to interpret – this isn’t intended purely for the benefit of small children – it is also to grab the attention of the mathematically challenged politicians making important decisions; they really do need to, ‘get the picture, act in good time’, and in so doing, ‘save the planet’.

In mid October 2014 Tony Abbott predicted that coal would be the world’s principal energy source for decades to come. It was he said, ‘Good for humanity’. I wonder if I’m living in a parallel universe – Tony Abbott must be better informed than I am… he’s the prime minister of Australia.

At the time of posting there was some hopeful news. A decrease in the number of reported cases of Ebola in Liberia. WHO’s spokesman Bruce Aylward said the response to the virus was now gaining the upper hand, but warned the crisis wasn’t over. The Head of the U.N. Mission says that ‘presently he doesn’t have the  resources to defeat the disease’. How nuts is  that?

For a perceptive and amusing view of man’s destruction of the Planet,  take a look at this cartoon:




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