Friday, June 19, 2009

There's Not Enough iPhones to Circle the Earth


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Piper Jaffray's senior analyst Gene Munster thinks it's going to be a good weekend for Apple as companies in 8 countries roll out the iPhone 3G S today. Yet will it be good enough?

Analysts expect half a million units will be sold today. That's a fine mess of finger-sliding real estate (actually about half an acre of touch screen mess-ness), but hardly enough to have any kind of global impact - at least not in a strictly geospatial sense. How many iPhones has Apple sold? How many iPhones would it take to circle the earth? Clearly these are VERY IMPORTANT questions! Well not really...but wouldn't you like to know?

The first iPhones were sold on June 29, 2007, and 3G sales started a year later on July 11, 2008. Today you can buy a 3G S. According to Aayush Arya (macworld.co.uk, 03/24/2009), Apple sold 13.7 million units in 2008, for a total of 17 million iPhones. Using data from Wikipedia by March 30, 2009 Apple had sold 21.17 million iPhones.



The iPhone measures 4.5 inches in height by 2.4 inches in width and by 0.48 inches thick, so 21.17 million iPhones, laid end-to-end would measure about 95 million inches, which works out to be 1503 miles. This figure depicts the range, or how far out from Apple headquarters in Cupertino, California you could go by laying all these iPhones end-to-end. It's a long way, but it won't reach around the world.



The trend for iPhone sales is positive, so using the data I wanted to find out when there would be enough iPhones to reach all the way around the world. With ZunZun, an online curve fitting resource, I was able to fit this data with a second order polynomial with good results (the model estimated that Apple would have sold a total of 2.7 million iPhones by March 30, compared to 2.2 million that were actually sold). Here's what the fitted curve looks like:



Along the X-axis are the number of days since the the iPhone was launched, and the Y-axis represents the total number of iPhones sold. Here are the estimated parameters for the 2nd order polynomial trend line:



With this information you can work out the estimated total number of iPhones sold at any given time. For example, by June 30, 2009 (the 732nd day since the iPhone launched) the model estimates that Apple will have sold a total of 2.76 million units. My guess is the number will be a little higher because of the hype associated with the 3G-S. Even so, consider that the Earth has a circumference of about 24,902 miles. So we're going to need 350,620,160 iPhones laid end-on-end just to get close. That's a lot of iPhones, right?

The model predicts that by the end of 2019 Apple will have sold more than 342 million iPhones, and the big day comes just a few weeks later. On January 16th, 2019, on the day that Ernest Shackleton discovered the magnetic South Pole, Apple will have sold enough iPhones to circumscribe the globe. In the meantime we'll just have to cool our jets, playing flightcontrol and waiting for the next update.

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