Rate of Change
(This starts in the middle of a discussion – ramblings which
form part of a personal letter)
I’m not
necessarily arguing that all these things need to be included or that they all
have to be combined in some way. Some seem more appropriate for different
historical periods and societies.
Rate of change - Power
Rate of change: (hp/head or dhpperhead/dt) I like it! At the
very least it is a useful component of whatever index or indexes you might want
to create. To use the George Box criteria, of course it is “wrong” (incomplete,
imperfect) but it is certainly useful. You could apply this to any period from
pre-1066 to the present. You can also apply it to different societies. For that
matter, there must be points at which people first started to use energy other
than muscle power (wind and water), and there is long lead-in with people
converting heat to mechanical power, starting with Hero of Alexandria and
really getting going with steam power during the Industrial Revolution.
Identifying those points in different societies would be an interesting
challenge in itself.
While the thing itself is interesting, the rate-of-change
would certainly give one measure of technological change. Actually that seems
like a good point in itself: the measure of the “thing” is useful, but so is
the rate-of-change dthing/dt. I think I’ll come back to that.
Before we leave “energy” or hp, I think there is another
aspect to look at. I think we need to have a measure of the ability to
concentrate or harness (good choice of word) energy under the direction of one
person. For example: the harnessing of animals – that increased the average
amount of energy available in a society, but probably just as significantly it
increased the amount of energy a single individual could bring to bear on a
task. This argument extends to wind-power (especially sailing ships, but also
windmills) and water-power. I’m not quite sure what the measure is, but it’s
something like “amount that one person can control”, so, to pick up your Tesco
car park analogy, it’s not just the power of all those cars (and everything
else) averaged over society, but the average power of the individual engines
and maybe the power of the largest engine. This allows you to look at the
technological impact of: harnessing rowers and animals and sails and then steam
engines. The concentration measure is important but becomes a bit tricky when
you start trying to take into account power stations and the like.
Rate of Change – Transport
Transport is
something you would want to consider as an “index”. In many ways the story of
the Industrial Revolution in Britain was the story of “Transport”. You can see
that in Turnpike roads, Canals, Railways and Shipping.
The measures
here are the size (but average or maximum?) of thing you can move and the speed
at which you can move it. You probably want to consider both people and goods
too.
Here we can
see the pattern repeating: the measure itself is interesting, but the rate at
which it is changing at any time is interesting too. Take random points in the 15th
to 20th Centuries and that is clear. You can also usefully indicate
the dates at which technologies were discovered or applied.
Whatever the
details of the design of the transport related indexes, you find something
surprising. Concentrating on “The Western World” (whatever that is), I think
there is a plateaux recently. This is stability not stagnation though.
(Here is one
place that your “Concorde Moment” comment becomes relevant. Clarkson does speak
sense sometimes)
If we look
at Transport in the last part of the 20th Century we can see a sort
of stability.
·
Aircraft
(commercial) fly at typically 350 knots, because that is the fuel efficient
speed for current designs. That hasn’t changed for some time.
·
The
size of Cargo ships is determined by “Panamax” dimensions, the size that will
fit through two “eyes of a needle”. There are bigger ships but for the time
being most are below this size.
·
The
size and speed of trucks is really determined by the roads and the drivers.
These things may change, but there has been stability for decades.
·
The
maximum speed of cars on the road. The restriction is by speed limits, but they
are also recognition of the competence of drivers.
·
The
actual average speed of traffic is limited by congestion.
These things
have not stagnated. They are improving, becoming more efficient and cheaper to run
but any likely Transport indexes would probably show them as being on a
plateaux, and consequently the rate-of-change being low.
Rate of Change – Communication
Communication
is an area where we are seeing change. By “Communication” I mean the ability to
get a message (definition problem again) from one place to another. For a long
while “Transport” and “Communication” were synonymous. You gave a message to a
messenger and it travelled by the appropriate means of transport until it was
delivered at the far end.
That has
changed. One lot of changes were organisational (things like The Penny Post)
and another lot are technological. The technological changes might be considered
starting with smoke signals and flags, but there are some really significant
milestones with wired and broadcast technology: Telegraphs, telephones, the
internet.
For the measures
here I want to consider size of message and speed transmission (I think I’ll
ignore reliability and security though they might be interesting). Of course
the rate-of-change is as interesting as the values themselves.
What
surprises me when I start to think about communication in this way is how
“stable” it has been in some aspects. This may surprise you too, so let me
explain.
I’m sending
you a letter (over quite a distance too). If I had done this any time up to the
19th (ish) Century it would have taken a long time, been expensive
and unreliable. When the “Post” was established that became much cheaper and
more reliable. In Edwardian times it would probably take a few days to get a
letter from rural Ireland to rural Wales if it was one “gentleman” talking to
another. The same letter is now delivered in less than a second, but the time
is taken up by producing and consuming the content (which are probably the same
as they were before). There is a hint there that we are asymptotically
approaching some value.
At least two
things have changed though: one is the nature and size of what I can
communicate (I can send or converse with sound, video and suchlike. I can even
send you whole book if I choose.). The second is the access to the
communication channels. My fast mail service was only available to Edwardian
gentlemen. Access was rationed by physical availability (you needed to be near
a post box) and cost.
I’ve been a
user of various computer networks over the years, and they have become easier
to access. The internet is available to everyone I know.
This
suggests to me that I want to consider some additional factors or indexes to
describe access to communication.
Rate of Change – Information Storage
Information
Storage is something which I think is important, but I don’t know how to
characterise. As with the other things I’ve listed so far, you can trace how
changes in technology have changed how we can store and access information. The
base characteristic I would start with are: “volume” (number of characters of
data, but I’m dubious about ‘a picture being worth a thousand words or bytes’)
and I would also add characteristics based on speed of access and
“accessibility”.
One way of
looking at this you could say that we have access to an exponentially
increasing volume of information. As a counter to that, already people argue
that we have information overload. Here is the problem – the machines can store
the data, the machines can process the data, but each human being can only
consume so much. Viewed in a certain way I think we may be approaching a
sort-of asymptote again. The restriction is not how much we can store or how
quickly we can serve it up, but how quickly can we consume it. We may be
approaching the situation of being in an “all you can eat” restaurant. Yes,
there is more data available, but do we want to consume it? How much do you
want or need to eat?
There seems
to be “something to measure” here, and once it is pinned down, the way it is
changing will be even more interesting. I have a suspicion that the results may
spring a surprise on us, because of the limitations of human beings.
Rate of Change – Information Processing
The “volume
of information” problem leads into the next area where we might need to
consider some sort of measurement. If we use “Energy” as a metaphor, there was
a time, in the 19th Century, when the only computing power anyone
had access to was inside of someone’s head! That is just like the “muscle
based” energy economy.
This
situation has changed dramatically, from the second half of the 20th
Century forward. The old “there’s more power in my phone than…” is true, but it
is a challenge to decide how to measure it, and that is before you start
calculating a rate-of-change. MIPs (millions of instructions per second) are
useless (!) except as a gee-wizz number. Comparing different computer
architectures like that simply doesn’t work.
However you
consider measuring it, there you come back to wanting to have numbers for both
“an overall average” (total computing power/population), and the quantity an
individual has access to. I think there is a qualitative difference between,
“my share” of the mega-whatever that does the weather forecasting in Bracknell,
my mobile phone (which is a highly specialised computer and the PC I program
(which is a more general purpose machine). What there is not in doubt is that
the power of all 3 is shooting up according to Moore’s Law! You can probably
also say that access to everything except the weather forecasting has been
getting easier (more people have mobile phones, more people have PCs).
Summary
I think there are a number of things or “dimensions” which I
think you might want to consider in your “Change” assessment:
- ·
Power/Energy – Your suggestion, and a good one
- ·
Transport
- ·
Communication
- ·
Information Storage
- ·
Information processing
For each of these we should probably consider:
- ·
Absolute total value, averaged over the
population
- ·
Amount an individual can “leverage” (ghastly
phrasing)
- ·
Ease of access
·
For all of these values we are probably more
interested in the rate of change than the absolute value.
Some of these dimensions seem to become more relevant at
different time periods as technology enables people to use machines to do something.
“Energy” seems to become especially relevant from around the start of the
Industrial Revolution, and “Information Storage” and “Information Processing”
became especially relevant from the middle of the 20th Century. With
all these things it is not possible to say that something starts at a
particular moment, but it is possible to point at some indicative “punctuation marks”
(“Stockton and Darlington Railway”).
When I started writing this, I was tempted to try and
combine all these factors into one “super index”. I’ve moved away from that,
because:
- ·
All the dimensions are subject to real problems
with deciding what to measure and what units to use.
- ·
Combining them together would introduce
weighting factors which would be suspect.
- ·
Applying any of these ideas across populations
which are not homogeneous is problematic.
While writing this I’ve noticed something about the dimensions
themselves:
- ·
They’re “technology related”.
- ·
Just because something new and relevant turns
up, doesn’t mean the old stuff ceases to be relevant.
- ·
Predicting what they are in advance of them
becoming relevant is very hard if not impossible.
- Some of the dimensions seem to have reached plateaux. This
may not be due to the fundamental characteristics of the technology, but may be
due to an accepted limitation (Panamax or railway bridges) or the ability of
the market to consume whatever it is.
I think the criticism that these are all “technology
related” is valid. There are all things which are worth exploring, but they do
not represent everything. For many people they are not the most important.
(Stand-alone
ramblings for a letter: 12th January 2017 – 2062 words)