The lily pad puzzle

The lily pad puzzle

Imagine a small pond that has clear blue water reflecting the summer sky.

In the centre of the pond are two lily pads, the emergent leaves of an aquatic plant, floating safely on the surface of the water, curled up edges keeping the surface of the leaf dry.

On one pad is a green frog.

The frog is hard to pick out on the green of the leaf but a yellow stripe on its back gives it away.

Chance happens that a week later you pass by the same pond and stop to admire the scene. Sure enough, the frog is still there only you notice that there are now four lily pads; the number of leaves has doubled. In a week the frog has gained surface real estate.

A week later you happen to pass by the pond again and even before you spot the frog you see that there are now eight lily pads. These aquatic plants are quite prolific.

You have to go away for a while and forget the frog and his growing number of Lilypads. A few months pass. Delighted to return home you saunter by the pond again. The first thing you see is that the pond is now mostly green as half of it is covered with lily pads and rather less of the blue sky is reflected in the water.

Sure enough the frog is still sitting proud in the middle.

The puzzle question is this.

How many more weeks until the pond is completely covered with lily pads and the frog can hop to shore without getting wet?

The lily pad puzzle answer is…

One week.

When the pond is half covered with lily pads and they are doubling every week, the pond will go from being half covered to totally covered in just one week. It is the reality of doubling.

Two to four seems like nothing much. Four to eight is mostly trivial too. But when the number is large and the doubling time short, then it is a different thing.

3,500,000,000 is a large number.

It happens to be the number of people on earth in 1967 just 44 years ago. Since then the human population has doubled to 7,000,000,000 (7 billion).

Unlike the pond, we cannot make the Earth any bigger than it already is. So we must hope that should the population double again, there is space enough.

The cute animal postscript

Hans Rosling explains why the human population is unlikely to double again. There are demographics at play that will see family size decline as kids survive better in poorer countries and most of the world passes through the demographic transition.

But 12 billion people is a distinct possibility.

Do you know what you want?

Do you know what you want?

A long time ago I was at a seminar by an upbeat American whose particular brand of snake oil was about how to get what you wanted in life. His specific pitch was creative visualisation.

Waved along by an expensive Italian suit he had people tell him exactly what they wanted in life. It was not enough to want a house with a picket fence. The deal, he said, is to know exactly where the house is, which suburb, street, and all the details right down to the shade of white paint and the distance between the rails on the fence out front.

Most of the people he asked to describe such detail did not have a clue. They had only a vague notion of what they wanted out of life.

Of course this worked like a charm for the charmer. “It’s all about visualisation you see.” He said, once again waving his arms. “If you can’t describe exactly the items you want you will never be able to get them.”

No surprise this has become a popular concept and not just because we are besotted with goods and chattels. Knowing what we want does motivate and guide our actions. Back in the day it got us out from the relative safety of the thicket onto the open plains where there was more risk but also success to be had, perhaps even a tasty warthog.

Today’s versions of warthog might be a new flat screen or the European coupe with the cute front grill and alloys, but the visualisation of things remains a strong motivator.

What do we want politically?

Wanting for things is easy but there is no reason it should not stretch to wanting a certain type of society with specific combinations of rights, freedoms, economic leanings and relationship to the past.

My hunch is that we don’t think of politics this way and have just as much trouble visualising what we want for society as imagining the most desirable garden border.

Clearly it is hard to see the radical-left or far right or Third Way as a tactile thing and so it is easy not to visualise our political stance at all. We don’t discover the detail of what our innate political leaning looks like in the smartphone world.

This is not about how you vote — the choice you must make among your countries versions of major party left or right or centre or even wether to pitch up to the voting booth. This is about what your leanings actually look like. How far apart are the rails on your radical-centre fence?

First you need to know how to place your innate political leanings. Where on the confusing spectrum of ideologies will you feel most comfortable?

Grab your smartphone and ask Google or Siri to search ‘political ideologies’ and click on the Wikipedia entry to see a very long list of the options. More simply you can follow these links to the main flavours

Left wing politics

Centrist politics

Right wing politics

Remember this is not about whether Wikipedia gets the ideological description correct, leave that never-ending argument to the political philosophers. Just pick the description that resonates.

In a jiffy you will have a description of the philosophies that align with feelings that always made you a staunch republican or so excited by Bernie Saunders vision of progression.

You will get to know what you feel about the tricky balance between personal and social responsibility — how much the government should interfere.

You’ll find yourself thinking about just how much capital should be allowed to flow and businesses encouraged with or without a social safety net. And, as former Australian prime minister Kevin Rudd was want to say, just how much of ‘a fair shake of the sauce bottle’ people should get.

You might even make sense of the Brexit decision and the new US president-elect although these events might be a stretch.

What you will find is that visualisation is hard.

Even if you land firmly in an established ideology that describes a political system with strong personal responsibility and a social safety net built on a free market economy [left-centre in case you were wondering]. What does that look like for policy on terror, boat people, exploitation of coal seam gas, or tax bracket creep?

So just like most of the people who had no idea that there were even shades of white in a picket fence, political visualisation is not for the lazy minded. It takes effort.

Only it is time to start making those mental images.

What do you want citizenship laws to look like? Should farmland be dotted with gas wells or modest pay rises tipping you across into the next tax bracket?

It is a very good time to do this because the shake up is upon us. The sauce bottles are out.

Just ask Donald.

If this is leadership, heaven help us

If this is leadership, heaven help us

At various times I have ranted about the politics of climate change in Australia

The climate change action thing

Climate change policy – does Australia need it?

The Kardashian Index

And I am not alone. Many are tearing out what remains of their hair.

So I thought I would bring to your attention the latest from the current direct action policy option in place in Australia. This is the policy setting that hopes to achieve emission reduction targets through the purchase of greenhouse gas abatement at auctions.

At the end of 2016 the vehicle for this, the Emission Reduction Fund, had paid for 177 million tCO2e of abatement purchased across four auctions at an average price of $12 per tCO2e.

Yes, you read it right. Close to $2 billion, that is $2,000,000,000 or roughly enough to pay the annual salary of 100 cabinet ministers for over 50 years, has been spent to purchase roughly the amount of abatement needed to meet the emission reduction target Australia presented in Paris… for one year.

Let’s make this clear. Emitters of carbon are not paying for this abatement, the taxpayer is.

Now you could be generous and say that the taxpayer is really the economy, so the economy is footing the bill, but that is a very long bow. Industries that were previously under the carbon price and reducing their emissions to save money are not anymore. Instead, various activities from other players in the economy are offered to reduce emissions or to capture carbon into vegetation and the CO2e tonnage presented for sale.

The concept of ‘polluter pays’ that has been so successful in a host of situations, from cleaning up rivers to closing the hole in ozone layer, is not in play here. Polluters carry on polluting as they merrily pass on the externality to the taxpayer.

This is neither good policy nor good governance.

There is no incentive to reduce emissions across the economy only an opportunity for a few to make a fast buck if they have access to some abatement.

At current prices, $2 billion will buy you 400 million tCO2e of offset credit on the international markets, nearly 2.5 times the local option. So not only does the policy fail to incentivise prudence, it pays way over the top for mitigation.

You cannot help think that a few people are laughing all the way to the bank.

One million people

One million people

Consider a city of roughly 1 million people, Adelaide, Australia for example — Calgary, Canada; Bonn, Germany; Tuscon Arizona; or Bristol in the UK would do equally well.

Adelaide has two Australian Football League teams, a pro soccer team, two professional basketball teams, three Universities, a cathedral, numerous hospitals, many shopping malls, around 440 schools, an International airport, and a zoo.

There are over 400 suburbs arranged around a CBD that has high-rise office blocks that provide a common destination for a metropolitan public transport system that includes a fleet of over 1,000 buses.

There are doctors, dentists, lawyers, Artisans and actors; and enough skilled tradesmen to build or engineer almost anything.

In short, Adelaide is a self-contained community surrounded by enough farmland to feed everyone.

If it were possible to gather all the people who live in Adelaide into one, standing room only location it would be quite a spectacle. It is hard to imagine what it would look like.

There would people as far as the eye could see. Lay them down head to toe and the line would stretch 1,800 km — 400 km further than a road trip from Adelaide to Sydney.

Stand them in single file and the line would be 30 km long, similar to the queue at the post office.

Now having conjured the image of so many people in your mind’s eye put them all onto commercial aircraft.

Because 1 million is roughly the number of human beings who are, at any one time, airborne in commercial airliners making vapor trails around the globe.

This is both staggering and scary at the same time.

It is enough just to illustrate the scale of the challenge to provide life support to all the people we have made and still retain some environmental integrity.


First posted on LinkedIn