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	<title>Comments on: Nature&#039;s Style: &quot;Naturally Orthogonal&quot;?</title>
	<atom:link href="http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/feed/" rel="self" type="application/rss+xml" />
	<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/</link>
	<description>by Steve McIntyre</description>
	<lastBuildDate>Fri, 24 May 2013 07:48:03 +0000</lastBuildDate>
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		<title>By: Steve McIntyre</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84081</link>
		<dc:creator><![CDATA[Steve McIntyre]]></dc:creator>
		<pubDate>Sat, 07 Apr 2007 17:36:13 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84081</guid>
		<description><![CDATA[#25. I think that you&#039;re jumping to conclusions. What it shows is that two people who like trees but not math can produce different answers from noisy data. IT doesn&#039;t prove that there is no usable information there.]]></description>
		<content:encoded><![CDATA[<p>#25. I think that you&#8217;re jumping to conclusions. What it shows is that two people who like trees but not math can produce different answers from noisy data. IT doesn&#8217;t prove that there is no usable information there.</p>
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		<title>By: Paul</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84080</link>
		<dc:creator><![CDATA[Paul]]></dc:creator>
		<pubDate>Sat, 07 Apr 2007 17:16:56 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84080</guid>
		<description><![CDATA[#21

That graphic says it all for me. The variation between those time series is greater than variation within them. For me it just makes it all noise.]]></description>
		<content:encoded><![CDATA[<p>#21</p>
<p>That graphic says it all for me. The variation between those time series is greater than variation within them. For me it just makes it all noise.</p>
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		<title>By: jae</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84079</link>
		<dc:creator><![CDATA[jae]]></dc:creator>
		<pubDate>Fri, 06 Apr 2007 23:59:38 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84079</guid>
		<description><![CDATA[23: OK. As uttered by a famous person, &quot;I am not a statistician&quot; (but I also don&#039;t pretend to be.  But I can&#039;t figure out what could be stationary about tree growth.]]></description>
		<content:encoded><![CDATA[<p>23: OK. As uttered by a famous person, &#8220;I am not a statistician&#8221; (but I also don&#8217;t pretend to be.  But I can&#8217;t figure out what could be stationary about tree growth.</p>
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		<title>By: Mark T.</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84078</link>
		<dc:creator><![CDATA[Mark T.]]></dc:creator>
		<pubDate>Fri, 06 Apr 2007 20:35:01 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84078</guid>
		<description><![CDATA[This is the issue with mixing matrix/source stationarity, jae.  Component analysis assumes that the mixing, or sources, are consistent over the period of estimation.

Mark]]></description>
		<content:encoded><![CDATA[<p>This is the issue with mixing matrix/source stationarity, jae.  Component analysis assumes that the mixing, or sources, are consistent over the period of estimation.</p>
<p>Mark</p>
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		<title>By: jae</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84077</link>
		<dc:creator><![CDATA[jae]]></dc:creator>
		<pubDate>Fri, 06 Apr 2007 17:02:51 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84077</guid>
		<description><![CDATA[20, Bender:  My thought (really a question, I guess) is that most of the sites they use are not always temperature limited.  They are temperature limited during some years/months, but not other years/months, so that the trees express multiple anatomical responses from year to year.  You need to look at more than just ring width or latewood density. I would try to combine ring width, ring density, earlywood density and latewood density, if there were some way to do so.]]></description>
		<content:encoded><![CDATA[<p>20, Bender:  My thought (really a question, I guess) is that most of the sites they use are not always temperature limited.  They are temperature limited during some years/months, but not other years/months, so that the trees express multiple anatomical responses from year to year.  You need to look at more than just ring width or latewood density. I would try to combine ring width, ring density, earlywood density and latewood density, if there were some way to do so.</p>
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		<title>By: Steve McIntyre</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84076</link>
		<dc:creator><![CDATA[Steve McIntyre]]></dc:creator>
		<pubDate>Fri, 06 Apr 2007 15:04:21 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84076</guid>
		<description><![CDATA[I&#039;d like to refresh an earlier comment by Rob Wilson on MXD and RW in this part of the world &lt;a href=&quot;http://www.climateaudit.org/?p=602#comment-18587&quot; rel=&quot;nofollow&quot;&gt;here.&lt;/a&gt;.   Rob said:

&lt;blockquote&gt;
The data that Jan Esper used are ONLY ring-width. Again, as I have told you in earlier e-mails, maximum density and ring-width data are doing quite different things in this region of the world. However, they compliment each other very nicely when combined using multiple regression to develop a reconstruction. More discussion on this is detailed in an earlier paper:
http://freespace.virgin.net/rob.dendro/pdf/Wilson%20and%20Luckman%202003.pdf&lt;/blockquote&gt;

I didn&#039;t pick up on the fact that Rob&#039;s citation here stated that the RW and MXD series were &quot;naturally orthogonal&quot; in this article, so it&#039;s pretty obvious in retrospect that the fit is going to be &quot;improved&quot; merely because of the orthogonality of the RW and MXD series, regardless of anything else. In the &lt;a href=&quot;http://www.climateaudit.org/?p=602&quot; rel=&quot;nofollow&quot;&gt;post in question &lt;/a&gt;, I presented the following graphic showing differences between the Esper Alberta data, which I had only just obtained and the Luckman-Wilson reconstruction, which is shown again below (I observed at the time that the differences between the two versions at merely one site seemed inconsistent with Mann&#039;s confident claim of knowing past temperature within 0.2 deg C):



When we re-visit this particular graphic, here&#039;s another take on this in light of subsequent experiments: the greater low-frequency content of the Esper reconstruction here is undoubtedly due in considerable measure to the fact that he &quot;ONLY&quot; used RW data. Rob&#039;s OLS regression onto two orthogonal series (RW and MXD) surely has the impact of attenuating low-frequency content. It&#039;s hard to say how much attenuation takes place.   These issues are quite independent of whether RW and MXD are measuring different months and are mathematical in nature.]]></description>
		<content:encoded><![CDATA[<p>I&#8217;d like to refresh an earlier comment by Rob Wilson on MXD and RW in this part of the world <a href="http://www.climateaudit.org/?p=602#comment-18587" rel="nofollow">here.</a>.   Rob said:</p>
<blockquote><p>
The data that Jan Esper used are ONLY ring-width. Again, as I have told you in earlier e-mails, maximum density and ring-width data are doing quite different things in this region of the world. However, they compliment each other very nicely when combined using multiple regression to develop a reconstruction. More discussion on this is detailed in an earlier paper:<br />
<a href="http://freespace.virgin.net/rob.dendro/pdf/Wilson%20and%20Luckman%202003.pdf" rel="nofollow">http://freespace.virgin.net/rob.dendro/pdf/Wilson%20and%20Luckman%202003.pdf</a></p></blockquote>
<p>I didn&#8217;t pick up on the fact that Rob&#8217;s citation here stated that the RW and MXD series were &#8220;naturally orthogonal&#8221; in this article, so it&#8217;s pretty obvious in retrospect that the fit is going to be &#8220;improved&#8221; merely because of the orthogonality of the RW and MXD series, regardless of anything else. In the <a href="http://www.climateaudit.org/?p=602" rel="nofollow">post in question </a>, I presented the following graphic showing differences between the Esper Alberta data, which I had only just obtained and the Luckman-Wilson reconstruction, which is shown again below (I observed at the time that the differences between the two versions at merely one site seemed inconsistent with Mann&#8217;s confident claim of knowing past temperature within 0.2 deg C):</p>
<p>When we re-visit this particular graphic, here&#8217;s another take on this in light of subsequent experiments: the greater low-frequency content of the Esper reconstruction here is undoubtedly due in considerable measure to the fact that he &#8220;ONLY&#8221; used RW data. Rob&#8217;s OLS regression onto two orthogonal series (RW and MXD) surely has the impact of attenuating low-frequency content. It&#8217;s hard to say how much attenuation takes place.   These issues are quite independent of whether RW and MXD are measuring different months and are mathematical in nature.</p>
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		<title>By: Willis Eschenbach</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84075</link>
		<dc:creator><![CDATA[Willis Eschenbach]]></dc:creator>
		<pubDate>Fri, 06 Apr 2007 00:09:29 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84075</guid>
		<description><![CDATA[jae, I don&#039;t understand your idea about orthogonality. The matrix you propose looks like this:

&lt;code&gt;Condition____RW_____MXD
Hot_________small___high
Cold________small___low
Good________large___moderate&lt;/code&gt;


Since the assumption is that these are treeline sites, temperature limited, the two most common conditions would be Cold and Goo. I can&#039;t see how that is orthogonal ... which may be my own lack of understanding.

I also didn&#039;t understand Rob&#039;s post. He says it makes sense that they are orthogonal, since the times of significant correlation only overlap in June. He also says that he was surprised that they were orthogonal. But the correlation over the entire summer (May to August) is what they are looking at, and I assume that there is a positive correlation (although not significant) in the other months for both variables. I say this because Rob says:

&lt;blockquote&gt;The correlations of the MXD and RW chronologies with May-August temperatures are 0.64 and 0.39 respectively.&lt;/blockquote&gt;

which is higher than the correlation with the individual months.

w.]]></description>
		<content:encoded><![CDATA[<p>jae, I don&#8217;t understand your idea about orthogonality. The matrix you propose looks like this:</p>
<p><code>Condition____RW_____MXD<br />
Hot_________small___high<br />
Cold________small___low<br />
Good________large___moderate</code></p>
<p>Since the assumption is that these are treeline sites, temperature limited, the two most common conditions would be Cold and Goo. I can&#8217;t see how that is orthogonal &#8230; which may be my own lack of understanding.</p>
<p>I also didn&#8217;t understand Rob&#8217;s post. He says it makes sense that they are orthogonal, since the times of significant correlation only overlap in June. He also says that he was surprised that they were orthogonal. But the correlation over the entire summer (May to August) is what they are looking at, and I assume that there is a positive correlation (although not significant) in the other months for both variables. I say this because Rob says:</p>
<blockquote><p>The correlations of the MXD and RW chronologies with May-August temperatures are 0.64 and 0.39 respectively.</p></blockquote>
<p>which is higher than the correlation with the individual months.</p>
<p>w.</p>
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		<title>By: jae</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84074</link>
		<dc:creator><![CDATA[jae]]></dc:creator>
		<pubDate>Thu, 05 Apr 2007 18:53:57 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84074</guid>
		<description><![CDATA[I can see how RW and MXD might be orthogonal. When times are good for the tree--adequate moisture and temperature--RW should be large and MXD should be moderate (large cells in both earlywood and latewood).  When it is cold, RW should be small and MXD should be low (not enough photosynthate to make dense LW cells (?)).  When it is hot (or drought), RW will be small and MXD should be high (fewer and smaller earlywood cells, fewer latewood cells but they will be flatter (narrower) and more dense). &lt;a href=&quot;http://www.ingentaconnect.com/content/saf/fs/1964/00000010/00000003/art00026&quot; rel=&quot;nofollow&quot;&gt;ref.&lt;/a&gt;]]></description>
		<content:encoded><![CDATA[<p>I can see how RW and MXD might be orthogonal. When times are good for the tree&#8211;adequate moisture and temperature&#8211;RW should be large and MXD should be moderate (large cells in both earlywood and latewood).  When it is cold, RW should be small and MXD should be low (not enough photosynthate to make dense LW cells (?)).  When it is hot (or drought), RW will be small and MXD should be high (fewer and smaller earlywood cells, fewer latewood cells but they will be flatter (narrower) and more dense). <a href="http://www.ingentaconnect.com/content/saf/fs/1964/00000010/00000003/art00026" rel="nofollow">ref.</a></p>
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		<title>By: Steve Sadlov</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84073</link>
		<dc:creator><![CDATA[Steve Sadlov]]></dc:creator>
		<pubDate>Thu, 05 Apr 2007 17:57:24 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84073</guid>
		<description><![CDATA[I recommend:
1) Cutting out arid and semi arid sites.
2) Emphasizing sites in Marine West Coast climates
3) All the other caveats highlighted in IPCC 2006]]></description>
		<content:encoded><![CDATA[<p>I recommend:<br />
1) Cutting out arid and semi arid sites.<br />
2) Emphasizing sites in Marine West Coast climates<br />
3) All the other caveats highlighted in IPCC 2006</p>
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		<title>By: Steve McIntyre</title>
		<link>http://climateaudit.org/2007/04/04/natures-style-naturally-orthogonal/#comment-84072</link>
		<dc:creator><![CDATA[Steve McIntyre]]></dc:creator>
		<pubDate>Thu, 05 Apr 2007 17:55:02 +0000</pubDate>
		<guid isPermaLink="false">http://www.climateaudit.org/?p=1328#comment-84072</guid>
		<description><![CDATA[&lt;blockquote&gt;Is it your position that all temperature reconstructions from ring-widths are useless?&lt;/blockquote&gt;

I try to avoid generalizing and &quot;useless&quot; is not a word that I usually use. I try to discuss particular studies as much as possible. The tree ring information is a vast and interesting data set. I think that one can be critical of existing statistical practices without saying that all the information is useless. I thought that Naurzbaev et al 2004 and Miller et al 2006 were interesting and novel applications of tree ring data to temperature reconstruction. We brought these studies to the attention of the NAS panel, which, in turn, cited them both favorably.

I have a much better impression of the precipitation reconstructions than the temperature reconstructions, but I haven&#039;t studied them in detail. Cook, Woodhosue et al, a precipitation reconstruction, had good verification r2 statistics as well as good RE statistics - so that gives me a much better impression.]]></description>
		<content:encoded><![CDATA[<blockquote><p>Is it your position that all temperature reconstructions from ring-widths are useless?</p></blockquote>
<p>I try to avoid generalizing and &#8220;useless&#8221; is not a word that I usually use. I try to discuss particular studies as much as possible. The tree ring information is a vast and interesting data set. I think that one can be critical of existing statistical practices without saying that all the information is useless. I thought that Naurzbaev et al 2004 and Miller et al 2006 were interesting and novel applications of tree ring data to temperature reconstruction. We brought these studies to the attention of the NAS panel, which, in turn, cited them both favorably.</p>
<p>I have a much better impression of the precipitation reconstructions than the temperature reconstructions, but I haven&#8217;t studied them in detail. Cook, Woodhosue et al, a precipitation reconstruction, had good verification r2 statistics as well as good RE statistics &#8211; so that gives me a much better impression.</p>
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