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A systematic fitting scheme for caustic-crossing microlensing events

Identifieur interne : 002D12 ( PascalFrancis/Checkpoint ); précédent : 002D11; suivant : 002D13

A systematic fitting scheme for caustic-crossing microlensing events

Auteurs : N. Kains [Royaume-Uni] ; A. Cassan [Royaume-Uni, Allemagne] ; K. Horne [Royaume-Uni] ; M. D. Albrow [Royaume-Uni, Nouvelle-Zélande] ; S. Dieters [Royaume-Uni, France] ; P. Fouque [Royaume-Uni, France] ; J. Greenhill [Royaume-Uni, Australie] ; A. Udalski [Pologne] ; M. Zub [Royaume-Uni, Allemagne] ; D. P. Bennett [Royaume-Uni, États-Unis] ; M. Dominik [Royaume-Uni] ; J. Donatowicz [Royaume-Uni, Autriche] ; D. Kubas [Royaume-Uni, Chili] ; Y. Tsapras [Royaume-Uni] ; T. Anguita [Allemagne] ; V. Batista [Royaume-Uni, France] ; J.-P. Beaulieu [Royaume-Uni, France] ; S. Brillant [Royaume-Uni, Chili] ; M. Bode [Royaume-Uni] ; D. M. Bramich [Royaume-Uni, Espagne] ; M. Burgdorf [Royaume-Uni] ; J. A. R. Caldwell [Royaume-Uni, États-Unis] ; K. H. Cook [Royaume-Uni, États-Unis] ; Ch. Coutures [Royaume-Uni, France] ; D. Dominis Prester [Royaume-Uni, Croatie] ; U. G. J Rgensen [Royaume-Uni, Danemark] ; S. Kane [Royaume-Uni, États-Unis] ; J. B. Marquette [France, Royaume-Uni] ; R. Martin [Royaume-Uni, Australie] ; J. Menzies [Royaume-Uni, Afrique du Sud] ; K. R. Pollard [Nouvelle-Zélande, Royaume-Uni] ; N. Rattenbury [Royaume-Uni] ; K. C. Sahu [Royaume-Uni, États-Unis] ; C. Snodgrass [Chili, Royaume-Uni] ; I. Steele [Autriche, Royaume-Uni] ; C. Vinter [Royaume-Uni, Danemark] ; J. Wambsganss [Allemagne, Royaume-Uni] ; A. Williams [Royaume-Uni, Australie] ; M. Kubiak [Pologne] ; G. Pietrzynski [Pologne] ; I. Soszynski [Pologne] ; O. Szewczyk [Pologne] ; M. K. Szymanski [Pologne] ; K. Ulaczyk [Pologne] ; L. Wyrzykowski [Royaume-Uni]

Source :

RBID : Pascal:09-0212439

Descripteurs français

English descriptors

Abstract

We outline a method for fitting binary-lens caustic-crossing microlensing events based on the alternative model parametrization proposed and detailed by Cassan. As an illustration of our methodology, we present an analysis of OGLE-2007-BLG-472, a double-peaked Galactic microlensing event with a source crossing the whole caustic structure in less than three days. In order to identify all possible models we conduct an extensive search of the parameter space, followed by a refinement of the parameters with a Markov Chain Monte Carlo algorithm. We find a number of low-X2 regions in the parameter space, which lead to several distinct competitive best models. We examine the parameters for each of them, and estimate their physical properties. We find that our fitting strategy locates several minima that are difficult to find with other modelling strategies and is therefore a more appropriate method to fit this type of event.


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Pascal:09-0212439

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<country>Nouvelle-Zélande</country>
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<name sortKey="Rattenbury, N" sort="Rattenbury, N" uniqKey="Rattenbury N" first="N." last="Rattenbury">N. Rattenbury</name>
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<s1>Jodrell Bank Centre for Astrophysics, University of Manchester</s1>
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<s1>Space Telescope Science Institute, 3700 San Martin Drive</s1>
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<name sortKey="Snodgrass, C" sort="Snodgrass, C" uniqKey="Snodgrass C" first="C." last="Snodgrass">C. Snodgrass</name>
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<s1>European Southern Observatory, Casilla 19001, Vitacura 19</s1>
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<country>Chili</country>
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<name sortKey="Steele, I" sort="Steele, I" uniqKey="Steele I" first="I." last="Steele">I. Steele</name>
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<s1>Department of Computing, Technical University of Vienna, Wiedner Hauptstr. 10</s1>
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<s1>Niels Bohr Institute, Astronomical Observatory, Juliane Maries Vej 30</s1>
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<s1>Optical Gravitational Lens Experiment (OGLE) Collaboration</s1>
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<s1>Optical Gravitational Lens Experiment (OGLE) Collaboration</s1>
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<title xml:lang="en" level="a">A systematic fitting scheme for caustic-crossing microlensing events</title>
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<title level="j" type="main">Monthly Notices of the Royal Astronomical Society</title>
<title level="j" type="abbreviated">Mon. Not. R. Astron. Soc.</title>
<idno type="ISSN">0035-8711</idno>
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<date when="2009">2009</date>
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<title level="j" type="main">Monthly Notices of the Royal Astronomical Society</title>
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<term>Algorithms</term>
<term>Galaxy bulge</term>
<term>Gravitational lensing</term>
<term>Markov chain</term>
<term>Microlenses</term>
<term>Models</term>
<term>Parameterization</term>
<term>Physical properties</term>
<term>Planetary system</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr">
<term>Microlentille</term>
<term>Modèle</term>
<term>Paramétrisation</term>
<term>Chaîne Markov</term>
<term>Algorithme</term>
<term>Propriété physique</term>
<term>Mirage gravitationnel</term>
<term>Système planétaire</term>
<term>Bulbe galaxies</term>
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<front>
<div type="abstract" xml:lang="en">We outline a method for fitting binary-lens caustic-crossing microlensing events based on the alternative model parametrization proposed and detailed by Cassan. As an illustration of our methodology, we present an analysis of OGLE-2007-BLG-472, a double-peaked Galactic microlensing event with a source crossing the whole caustic structure in less than three days. In order to identify all possible models we conduct an extensive search of the parameter space, followed by a refinement of the parameters with a Markov Chain Monte Carlo algorithm. We find a number of low-X
<sup>2</sup>
regions in the parameter space, which lead to several distinct competitive best models. We examine the parameters for each of them, and estimate their physical properties. We find that our fitting strategy locates several minima that are difficult to find with other modelling strategies and is therefore a more appropriate method to fit this type of event.</div>
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<s0>We outline a method for fitting binary-lens caustic-crossing microlensing events based on the alternative model parametrization proposed and detailed by Cassan. As an illustration of our methodology, we present an analysis of OGLE-2007-BLG-472, a double-peaked Galactic microlensing event with a source crossing the whole caustic structure in less than three days. In order to identify all possible models we conduct an extensive search of the parameter space, followed by a refinement of the parameters with a Markov Chain Monte Carlo algorithm. We find a number of low-X
<sup>2</sup>
regions in the parameter space, which lead to several distinct competitive best models. We examine the parameters for each of them, and estimate their physical properties. We find that our fitting strategy locates several minima that are difficult to find with other modelling strategies and is therefore a more appropriate method to fit this type of event.</s0>
</fC01>
<fC02 i1="01" i2="3">
<s0>001E03</s0>
</fC02>
<fC03 i1="01" i2="3" l="FRE">
<s0>Microlentille</s0>
<s5>26</s5>
</fC03>
<fC03 i1="01" i2="3" l="ENG">
<s0>Microlenses</s0>
<s5>26</s5>
</fC03>
<fC03 i1="02" i2="X" l="FRE">
<s0>Modèle</s0>
<s5>27</s5>
</fC03>
<fC03 i1="02" i2="X" l="ENG">
<s0>Models</s0>
<s5>27</s5>
</fC03>
<fC03 i1="02" i2="X" l="SPA">
<s0>Modelo</s0>
<s5>27</s5>
</fC03>
<fC03 i1="03" i2="X" l="FRE">
<s0>Paramétrisation</s0>
<s5>28</s5>
</fC03>
<fC03 i1="03" i2="X" l="ENG">
<s0>Parameterization</s0>
<s5>28</s5>
</fC03>
<fC03 i1="03" i2="X" l="SPA">
<s0>Parametrización</s0>
<s5>28</s5>
</fC03>
<fC03 i1="04" i2="X" l="FRE">
<s0>Chaîne Markov</s0>
<s5>29</s5>
</fC03>
<fC03 i1="04" i2="X" l="ENG">
<s0>Markov chain</s0>
<s5>29</s5>
</fC03>
<fC03 i1="04" i2="X" l="SPA">
<s0>Cadena Markov</s0>
<s5>29</s5>
</fC03>
<fC03 i1="05" i2="3" l="FRE">
<s0>Algorithme</s0>
<s5>30</s5>
</fC03>
<fC03 i1="05" i2="3" l="ENG">
<s0>Algorithms</s0>
<s5>30</s5>
</fC03>
<fC03 i1="06" i2="3" l="FRE">
<s0>Propriété physique</s0>
<s5>31</s5>
</fC03>
<fC03 i1="06" i2="3" l="ENG">
<s0>Physical properties</s0>
<s5>31</s5>
</fC03>
<fC03 i1="07" i2="X" l="FRE">
<s0>Mirage gravitationnel</s0>
<s5>32</s5>
</fC03>
<fC03 i1="07" i2="X" l="ENG">
<s0>Gravitational lensing</s0>
<s5>32</s5>
</fC03>
<fC03 i1="07" i2="X" l="SPA">
<s0>Espejismo gravitacional</s0>
<s5>32</s5>
</fC03>
<fC03 i1="08" i2="X" l="FRE">
<s0>Système planétaire</s0>
<s5>33</s5>
</fC03>
<fC03 i1="08" i2="X" l="ENG">
<s0>Planetary system</s0>
<s5>33</s5>
</fC03>
<fC03 i1="08" i2="X" l="SPA">
<s0>Sistema planetario</s0>
<s5>33</s5>
</fC03>
<fC03 i1="09" i2="X" l="FRE">
<s0>Bulbe galaxies</s0>
<s5>34</s5>
</fC03>
<fC03 i1="09" i2="X" l="ENG">
<s0>Galaxy bulge</s0>
<s5>34</s5>
</fC03>
<fC03 i1="09" i2="X" l="SPA">
<s0>Bulbo galaxias</s0>
<s5>34</s5>
</fC03>
<fN21>
<s1>159</s1>
</fN21>
<fN44 i1="01">
<s1>OTO</s1>
</fN44>
<fN82>
<s1>OTO</s1>
</fN82>
</pA>
</standard>
</inist>
<affiliations>
<list>
<country>
<li>Afrique du Sud</li>
<li>Allemagne</li>
<li>Australie</li>
<li>Autriche</li>
<li>Chili</li>
<li>Croatie</li>
<li>Danemark</li>
<li>Espagne</li>
<li>France</li>
<li>Nouvelle-Zélande</li>
<li>Pologne</li>
<li>Royaume-Uni</li>
<li>États-Unis</li>
</country>
<region>
<li>Angleterre</li>
<li>Bade-Wurtemberg</li>
<li>Canaries</li>
<li>District de Karlsruhe</li>
<li>Grand Manchester</li>
<li>Hovedstaden</li>
<li>Midi-Pyrénées</li>
<li>Occitanie (région administrative)</li>
<li>Vienne (Autriche)</li>
<li>Île-de-France</li>
</region>
<settlement>
<li>Copenhague</li>
<li>Heidelberg</li>
<li>Manchester</li>
<li>Paris</li>
<li>Toulouse</li>
<li>Vienne (Autriche)</li>
</settlement>
<orgName>
<li>Université de Manchester</li>
</orgName>
</list>
<tree>
<country name="Royaume-Uni">
<noRegion>
<name sortKey="Kains, N" sort="Kains, N" uniqKey="Kains N" first="N." last="Kains">N. Kains</name>
</noRegion>
<name sortKey="Albrow, M D" sort="Albrow, M D" uniqKey="Albrow M" first="M. D." last="Albrow">M. D. Albrow</name>
<name sortKey="Batista, V" sort="Batista, V" uniqKey="Batista V" first="V." last="Batista">V. Batista</name>
<name sortKey="Beaulieu, J P" sort="Beaulieu, J P" uniqKey="Beaulieu J" first="J.-P." last="Beaulieu">J.-P. Beaulieu</name>
<name sortKey="Bennett, D P" sort="Bennett, D P" uniqKey="Bennett D" first="D. P." last="Bennett">D. P. Bennett</name>
<name sortKey="Bode, M" sort="Bode, M" uniqKey="Bode M" first="M." last="Bode">M. Bode</name>
<name sortKey="Bode, M" sort="Bode, M" uniqKey="Bode M" first="M." last="Bode">M. Bode</name>
<name sortKey="Bramich, D M" sort="Bramich, D M" uniqKey="Bramich D" first="D. M." last="Bramich">D. M. Bramich</name>
<name sortKey="Brillant, S" sort="Brillant, S" uniqKey="Brillant S" first="S." last="Brillant">S. Brillant</name>
<name sortKey="Burgdorf, M" sort="Burgdorf, M" uniqKey="Burgdorf M" first="M." last="Burgdorf">M. Burgdorf</name>
<name sortKey="Burgdorf, M" sort="Burgdorf, M" uniqKey="Burgdorf M" first="M." last="Burgdorf">M. Burgdorf</name>
<name sortKey="Caldwell, J A R" sort="Caldwell, J A R" uniqKey="Caldwell J" first="J. A. R." last="Caldwell">J. A. R. Caldwell</name>
<name sortKey="Cassan, A" sort="Cassan, A" uniqKey="Cassan A" first="A." last="Cassan">A. Cassan</name>
<name sortKey="Cook, K H" sort="Cook, K H" uniqKey="Cook K" first="K. H." last="Cook">K. H. Cook</name>
<name sortKey="Coutures, Ch" sort="Coutures, Ch" uniqKey="Coutures C" first="Ch." last="Coutures">Ch. Coutures</name>
<name sortKey="Dieters, S" sort="Dieters, S" uniqKey="Dieters S" first="S." last="Dieters">S. Dieters</name>
<name sortKey="Dominik, M" sort="Dominik, M" uniqKey="Dominik M" first="M." last="Dominik">M. Dominik</name>
<name sortKey="Dominis Prester, D" sort="Dominis Prester, D" uniqKey="Dominis Prester D" first="D." last="Dominis Prester">D. Dominis Prester</name>
<name sortKey="Donatowicz, J" sort="Donatowicz, J" uniqKey="Donatowicz J" first="J." last="Donatowicz">J. Donatowicz</name>
<name sortKey="Fouque, P" sort="Fouque, P" uniqKey="Fouque P" first="P." last="Fouque">P. Fouque</name>
<name sortKey="Greenhill, J" sort="Greenhill, J" uniqKey="Greenhill J" first="J." last="Greenhill">J. Greenhill</name>
<name sortKey="Horne, K" sort="Horne, K" uniqKey="Horne K" first="K." last="Horne">K. Horne</name>
<name sortKey="Horne, K" sort="Horne, K" uniqKey="Horne K" first="K." last="Horne">K. Horne</name>
<name sortKey="J Rgensen, U G" sort="J Rgensen, U G" uniqKey="J Rgensen U" first="U. G." last="J Rgensen">U. G. J Rgensen</name>
<name sortKey="Kains, N" sort="Kains, N" uniqKey="Kains N" first="N." last="Kains">N. Kains</name>
<name sortKey="Kane, S" sort="Kane, S" uniqKey="Kane S" first="S." last="Kane">S. Kane</name>
<name sortKey="Kubas, D" sort="Kubas, D" uniqKey="Kubas D" first="D." last="Kubas">D. Kubas</name>
<name sortKey="Marquette, J B" sort="Marquette, J B" uniqKey="Marquette J" first="J. B." last="Marquette">J. B. Marquette</name>
<name sortKey="Martin, R" sort="Martin, R" uniqKey="Martin R" first="R." last="Martin">R. Martin</name>
<name sortKey="Menzies, J" sort="Menzies, J" uniqKey="Menzies J" first="J." last="Menzies">J. Menzies</name>
<name sortKey="Pollard, K R" sort="Pollard, K R" uniqKey="Pollard K" first="K. R." last="Pollard">K. R. Pollard</name>
<name sortKey="Rattenbury, N" sort="Rattenbury, N" uniqKey="Rattenbury N" first="N." last="Rattenbury">N. Rattenbury</name>
<name sortKey="Rattenbury, N" sort="Rattenbury, N" uniqKey="Rattenbury N" first="N." last="Rattenbury">N. Rattenbury</name>
<name sortKey="Sahu, K C" sort="Sahu, K C" uniqKey="Sahu K" first="K. C." last="Sahu">K. C. Sahu</name>
<name sortKey="Snodgrass, C" sort="Snodgrass, C" uniqKey="Snodgrass C" first="C." last="Snodgrass">C. Snodgrass</name>
<name sortKey="Steele, I" sort="Steele, I" uniqKey="Steele I" first="I." last="Steele">I. Steele</name>
<name sortKey="Tsapras, Y" sort="Tsapras, Y" uniqKey="Tsapras Y" first="Y." last="Tsapras">Y. Tsapras</name>
<name sortKey="Tsapras, Y" sort="Tsapras, Y" uniqKey="Tsapras Y" first="Y." last="Tsapras">Y. Tsapras</name>
<name sortKey="Vinter, C" sort="Vinter, C" uniqKey="Vinter C" first="C." last="Vinter">C. Vinter</name>
<name sortKey="Wambsganss, J" sort="Wambsganss, J" uniqKey="Wambsganss J" first="J." last="Wambsganss">J. Wambsganss</name>
<name sortKey="Williams, A" sort="Williams, A" uniqKey="Williams A" first="A." last="Williams">A. Williams</name>
<name sortKey="Wyrzykowski, L" sort="Wyrzykowski, L" uniqKey="Wyrzykowski L" first="L." last="Wyrzykowski">L. Wyrzykowski</name>
<name sortKey="Zub, M" sort="Zub, M" uniqKey="Zub M" first="M." last="Zub">M. Zub</name>
</country>
<country name="Allemagne">
<region name="Bade-Wurtemberg">
<name sortKey="Cassan, A" sort="Cassan, A" uniqKey="Cassan A" first="A." last="Cassan">A. Cassan</name>
</region>
<name sortKey="Anguita, T" sort="Anguita, T" uniqKey="Anguita T" first="T." last="Anguita">T. Anguita</name>
<name sortKey="Wambsganss, J" sort="Wambsganss, J" uniqKey="Wambsganss J" first="J." last="Wambsganss">J. Wambsganss</name>
<name sortKey="Zub, M" sort="Zub, M" uniqKey="Zub M" first="M." last="Zub">M. Zub</name>
</country>
<country name="Nouvelle-Zélande">
<noRegion>
<name sortKey="Albrow, M D" sort="Albrow, M D" uniqKey="Albrow M" first="M. D." last="Albrow">M. D. Albrow</name>
</noRegion>
<name sortKey="Pollard, K R" sort="Pollard, K R" uniqKey="Pollard K" first="K. R." last="Pollard">K. R. Pollard</name>
</country>
<country name="France">
<region name="Île-de-France">
<name sortKey="Dieters, S" sort="Dieters, S" uniqKey="Dieters S" first="S." last="Dieters">S. Dieters</name>
</region>
<name sortKey="Batista, V" sort="Batista, V" uniqKey="Batista V" first="V." last="Batista">V. Batista</name>
<name sortKey="Beaulieu, J P" sort="Beaulieu, J P" uniqKey="Beaulieu J" first="J.-P." last="Beaulieu">J.-P. Beaulieu</name>
<name sortKey="Coutures, Ch" sort="Coutures, Ch" uniqKey="Coutures C" first="Ch." last="Coutures">Ch. Coutures</name>
<name sortKey="Fouque, P" sort="Fouque, P" uniqKey="Fouque P" first="P." last="Fouque">P. Fouque</name>
<name sortKey="Marquette, J B" sort="Marquette, J B" uniqKey="Marquette J" first="J. B." last="Marquette">J. B. Marquette</name>
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<country name="Australie">
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<name sortKey="Greenhill, J" sort="Greenhill, J" uniqKey="Greenhill J" first="J." last="Greenhill">J. Greenhill</name>
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<name sortKey="Williams, A" sort="Williams, A" uniqKey="Williams A" first="A." last="Williams">A. Williams</name>
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<name sortKey="Kubiak, M" sort="Kubiak, M" uniqKey="Kubiak M" first="M." last="Kubiak">M. Kubiak</name>
<name sortKey="Kubiak, M" sort="Kubiak, M" uniqKey="Kubiak M" first="M." last="Kubiak">M. Kubiak</name>
<name sortKey="Pietrzynski, G" sort="Pietrzynski, G" uniqKey="Pietrzynski G" first="G." last="Pietrzynski">G. Pietrzynski</name>
<name sortKey="Pietrzynski, G" sort="Pietrzynski, G" uniqKey="Pietrzynski G" first="G." last="Pietrzynski">G. Pietrzynski</name>
<name sortKey="Soszynski, I" sort="Soszynski, I" uniqKey="Soszynski I" first="I." last="Soszynski">I. Soszynski</name>
<name sortKey="Soszynski, I" sort="Soszynski, I" uniqKey="Soszynski I" first="I." last="Soszynski">I. Soszynski</name>
<name sortKey="Szewczyk, O" sort="Szewczyk, O" uniqKey="Szewczyk O" first="O." last="Szewczyk">O. Szewczyk</name>
<name sortKey="Szewczyk, O" sort="Szewczyk, O" uniqKey="Szewczyk O" first="O." last="Szewczyk">O. Szewczyk</name>
<name sortKey="Szymanski, M K" sort="Szymanski, M K" uniqKey="Szymanski M" first="M. K." last="Szymanski">M. K. Szymanski</name>
<name sortKey="Szymanski, M K" sort="Szymanski, M K" uniqKey="Szymanski M" first="M. K." last="Szymanski">M. K. Szymanski</name>
<name sortKey="Udalski, A" sort="Udalski, A" uniqKey="Udalski A" first="A." last="Udalski">A. Udalski</name>
<name sortKey="Ulaczyk, K" sort="Ulaczyk, K" uniqKey="Ulaczyk K" first="K." last="Ulaczyk">K. Ulaczyk</name>
<name sortKey="Ulaczyk, K" sort="Ulaczyk, K" uniqKey="Ulaczyk K" first="K." last="Ulaczyk">K. Ulaczyk</name>
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<noRegion>
<name sortKey="Bennett, D P" sort="Bennett, D P" uniqKey="Bennett D" first="D. P." last="Bennett">D. P. Bennett</name>
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<name sortKey="Cook, K H" sort="Cook, K H" uniqKey="Cook K" first="K. H." last="Cook">K. H. Cook</name>
<name sortKey="Kane, S" sort="Kane, S" uniqKey="Kane S" first="S." last="Kane">S. Kane</name>
<name sortKey="Sahu, K C" sort="Sahu, K C" uniqKey="Sahu K" first="K. C." last="Sahu">K. C. Sahu</name>
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<country name="Autriche">
<region name="Vienne (Autriche)">
<name sortKey="Donatowicz, J" sort="Donatowicz, J" uniqKey="Donatowicz J" first="J." last="Donatowicz">J. Donatowicz</name>
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<name sortKey="Steele, I" sort="Steele, I" uniqKey="Steele I" first="I." last="Steele">I. Steele</name>
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<country name="Chili">
<noRegion>
<name sortKey="Kubas, D" sort="Kubas, D" uniqKey="Kubas D" first="D." last="Kubas">D. Kubas</name>
</noRegion>
<name sortKey="Brillant, S" sort="Brillant, S" uniqKey="Brillant S" first="S." last="Brillant">S. Brillant</name>
<name sortKey="Snodgrass, C" sort="Snodgrass, C" uniqKey="Snodgrass C" first="C." last="Snodgrass">C. Snodgrass</name>
</country>
<country name="Espagne">
<region name="Canaries">
<name sortKey="Bramich, D M" sort="Bramich, D M" uniqKey="Bramich D" first="D. M." last="Bramich">D. M. Bramich</name>
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</country>
<country name="Croatie">
<noRegion>
<name sortKey="Dominis Prester, D" sort="Dominis Prester, D" uniqKey="Dominis Prester D" first="D." last="Dominis Prester">D. Dominis Prester</name>
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</country>
<country name="Danemark">
<region name="Hovedstaden">
<name sortKey="J Rgensen, U G" sort="J Rgensen, U G" uniqKey="J Rgensen U" first="U. G." last="J Rgensen">U. G. J Rgensen</name>
</region>
<name sortKey="Vinter, C" sort="Vinter, C" uniqKey="Vinter C" first="C." last="Vinter">C. Vinter</name>
</country>
<country name="Afrique du Sud">
<noRegion>
<name sortKey="Menzies, J" sort="Menzies, J" uniqKey="Menzies J" first="J." last="Menzies">J. Menzies</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>

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