<?xml version="1.0" encoding="UTF-8" standalone="yes"?><oembed><version><![CDATA[1.0]]></version><provider_name><![CDATA[Jason Collins blog]]></provider_name><provider_url><![CDATA[http://jasoncollins.blog]]></provider_url><author_name><![CDATA[Jason Collins]]></author_name><author_url><![CDATA[https://jasoncollins.blog/author/jasonacollins/]]></author_url><title><![CDATA[That chart doesn&#8217;t match your headline &#8211; fertility&nbsp;edition]]></title><type><![CDATA[link]]></type><html><![CDATA[<p>Under the heading &#8220;<a href="http://www.washingtonpost.com/blogs/wonkblog/wp/2015/01/07/japans-birth-rate-problem-is-way-worse-than-anyone-imagined/?postshare=8121420725957701" target="_blank">Japan’s birth rate problem is way worse than anyone imagined</a>&#8220;, Ana Swanson at The Washington Post&#8217;s Wonkblog shows the following chart:</p>
<p><a href="https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg"><img data-attachment-id="20711" data-permalink="https://jasoncollins.blog/2015/01/14/that-chart-doesnt-match-your-headline-fertility-edition/japan-fertility-rate/" data-orig-file="https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg?w=415&#038;h=284" data-orig-size="415,284" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="Japan fertility rate" data-image-description="" data-medium-file="https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg?w=415&#038;h=284?w=300" data-large-file="https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg?w=415&#038;h=284?w=415" class="aligncenter wp-image-20711 size-full" src="https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg?w=415&#038;h=284" alt="Japan fertility rate" width="415" height="284" srcset="https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg 415w, https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg?w=150&amp;h=103 150w, https://jasonallancollins.files.wordpress.com/2015/01/japan-fertility-rate.jpg?w=300&amp;h=205 300w" sizes="(max-width: 415px) 100vw, 415px" /></a></p>
<p>So, the birth rate problem is worse than forecast in 1976, 1986, 1992 and 1997. However, the birth rate is higher than was forecast in 2002 and 2006 &#8211; so has surprised on the upside. It&#8217;s only &#8220;worse than anyone imagined&#8221; if you&#8217;ve had your head in the sand for the last 10 or so years. As <a href="http://noahpinionblog.blogspot.com.au/2015/01/japans-fertility-rate-is-rising-and-you.html" target="_blank">Noah Smith asks</a>, didn&#8217;t any of the people tweeting the graph (it appeared at least half a dozen times in my feed) look at it?</p>
<p>That said, the chart demonstrates the lack of robust conceptual models that might be used to forecast fertility. As another example, the below figure comes from Lee and Tuljapurkar&#8217;s <a href="http://www.demog.berkeley.edu/~rlee/papers/leetulja2b.pdf" target="_blank"><em>Population Forecasting for Fiscal Planning: Issues and Innovations</em></a> and shows US Census Bureau forecasts through to 1996. As for the Japan forecasts, the tendency is to assume a slight reversion toward replacement fertility followed by constant fertility.</p>
<p><a href="https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg"><img data-attachment-id="20713" data-permalink="https://jasoncollins.blog/2015/01/14/that-chart-doesnt-match-your-headline-fertility-edition/us-census-forecasts/" data-orig-file="https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg" data-orig-size="1932,1383" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="US Census forecasts" data-image-description="" data-medium-file="https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg?w=300" data-large-file="https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg?w=1024" class="aligncenter wp-image-20713 size-large" src="https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg?w=1024&#038;h=733" alt="US Census forecasts" srcset="https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg?w=1024&amp;h=733 1024w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg?w=150&amp;h=107 150w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg?w=300&amp;h=215 300w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg?w=768&amp;h=550 768w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-forecasts.jpg 1932w" sizes="(max-width: 1024px) 100vw, 1024px"   /></a></p>
<p>The Bureau of the Census produced high and low estimates (as in the figure below), but these don&#8217;t make the forecasting look any better. For many forecasts, the fertility rate was outside the range within 3 years. In 1972, fertility fell outside the range before the forecast was even published.</p>
<p><a href="https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg"><img data-attachment-id="20722" data-permalink="https://jasoncollins.blog/2015/01/14/that-chart-doesnt-match-your-headline-fertility-edition/us-census-high-low-forecasts/" data-orig-file="https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg" data-orig-size="1729,1225" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="US Census High-Low forecasts" data-image-description="" data-medium-file="https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg?w=300" data-large-file="https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg?w=1024" class="aligncenter size-large wp-image-20722" src="https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg?w=1024&#038;h=725" alt="US Census High-Low forecasts" srcset="https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg?w=1024&amp;h=725 1024w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg?w=150&amp;h=106 150w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg?w=300&amp;h=213 300w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg?w=768&amp;h=544 768w, https://jasonallancollins.files.wordpress.com/2015/01/us-census-high-low-forecasts1.jpg 1729w" sizes="(max-width: 1024px) 100vw, 1024px"   /></a></p>
<p>Over the last ten years, fertility &#8220;surprises&#8221; on the upside are typical in developed countries. Japan is not an outlier. Below are three consecutive projections from the <a href="http://archive.treasury.gov.au/igr/" target="_blank">Australian Government&#8217;s Intergenerational Report</a>. IGR1 was published in 2002, IGR2 in 2007 and IGR 2010 in 2010 (obviously). As you can see, they&#8217;ve been chasing an upward trend in fertility. The fertility problem is less severe than once thought. Long-term fertility is assumed to be 1.60 in the 2002 forecast, but 1.90 in 2010. A new IGR is due out this year, so it will be interesting to see where that forecast goes.</p>
<p><a href="https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg"><img data-attachment-id="20717" data-permalink="https://jasoncollins.blog/2015/01/14/that-chart-doesnt-match-your-headline-fertility-edition/igr_2007-fertility-chart/" data-orig-file="https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg" data-orig-size="1536,804" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="IGR_2007 fertility chart" data-image-description="" data-medium-file="https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg?w=300" data-large-file="https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg?w=1024" class="aligncenter size-large wp-image-20717" src="https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg?w=1024&#038;h=537" alt="IGR_2007 fertility chart" srcset="https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg?w=1024&amp;h=537 1024w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg?w=150&amp;h=79 150w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg?w=300&amp;h=157 300w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg?w=768&amp;h=402 768w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2007-fertility-chart.jpg 1536w" sizes="(max-width: 1024px) 100vw, 1024px"   /></a><a href="https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg"><img data-attachment-id="20718" data-permalink="https://jasoncollins.blog/2015/01/14/that-chart-doesnt-match-your-headline-fertility-edition/igr_2010-fertility-chart/" data-orig-file="https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg" data-orig-size="1516,811" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="IGR_2010 fertility chart" data-image-description="" data-medium-file="https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg?w=300" data-large-file="https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg?w=1024" class="aligncenter size-large wp-image-20718" src="https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg?w=1024&#038;h=548" alt="IGR_2010 fertility chart" srcset="https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg?w=1024&amp;h=548 1024w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg?w=150&amp;h=80 150w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg?w=300&amp;h=160 300w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg?w=768&amp;h=411 768w, https://jasonallancollins.files.wordpress.com/2015/01/igr_2010-fertility-chart.jpg 1516w" sizes="(max-width: 1024px) 100vw, 1024px"   /></a></p>
<p>As for building better conceptual models of fertility, I don&#8217;t envy anyone attempting that task. But as I argue in <a href="http://ssrn.com/abstract=2208886" target="_blank">a working paper</a>, evolutionary dynamics will tend to drive fertility rates up from recent lows. Is that part of the story behind what we are seeing in Japan and elsewhere?</p>
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