Could you explain where the documentation states that the attribute 'initialize-with' has the effect you describe (to learn for future reference). Thanks.

Now, the citation text in the text body (writer) is:

Lorem ipsum dolor sit amet, (Author 2010) consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.

but a comma (,) is wanted after the author name:

Lorem ipsum dolor sit amet, (Author, 2010) consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.

Below is a copy of the file, which is referred to in the writer document. Is was edited using jedit.

<?xml version="1.0" encoding="UTF-8"?>
<style xmlns="http://purl.org/net/xbiblio/csl" xml:lang="en" class="in-text" >
<info>
<title>Harvard Reference format 1 (Author-Date European format)</title>
<id>http://www.zotero.org/styles/harvard1e</id>;
<link href="http://www.zotero.org/styles/harvard1"/>
<author>
<name></name>
<email></email>
</author>
<category term="author-date"/>
<category term="generic-base"/>
<updated>2010-mm-ddThh:mm:ss+00:00</updated>
<summary>The Harvard author-date style, adapted from original version by Julian Onions, julian.onions@gmail.com</summary>
<link href="http://libweb.anglia.ac.uk/referencing/harvard.htm" rel="documentation"/>
</info>
<macro name="editor">
<names variable="editor" delimiter=", ">
<name and="symbol" initialize-with=". " delimiter=", "/>
<label form="short" prefix=", " text-case="lowercase" suffix="."/>
</names>
</macro>
<macro name="anon">
<text term="anonymous" form="short" text-case="capitalize-first"/>
</macro>
<macro name="author">
<names variable="author">
<name name-as-sort-order="all" and="symbol" sort-separator=", " initialize-with="."
delimiter-precedes-last="never" delimiter=", "/>
<label form="short" prefix=" " suffix="." text-case="lowercase"/>
<substitute>
<names variable="editor"/>
<text macro="anon"/>
</substitute>
</names>
</macro>
<macro name="author-short">
<names variable="author">
<name and="text" name-as-sort-order="all" sort-separator=", " delimiter=", " delimiter-precedes-last="always"/>
<substitute>
<names variable="editor"/>
<names variable="translator"/>
<text macro="anon"/>
</substitute>
</names>
</macro>
<macro name="author-long">
<names variable="author">
<name form="long" and="symbol" delimiter=", " delimiter-precedes-last="never" initialize-with=". "/>
<substitute>
<names variable="editor"/>
<names variable="translator"/>
<text macro="anon"/>
</substitute>
</names>
</macro>
<macro name="access">
<group>
<text value="Available at:" suffix=" "/>
<text variable="URL"/>
<group prefix=" [" suffix="]">
<text term="accessed" text-case="capitalize-first" suffix=" "/>
<date variable="accessed">
<date-part name="day" suffix=" "/>
<date-part name="month" suffix=" "/>
<date-part name="year"/>
</date>
</group>
</group>
</macro>
<macro name="title">
<choose>
<if type="book thesis" match="any">
<text variable="title" font-style="italic"/>
</if>
<else>
<text variable="title"/>
</else>
</choose>
</macro>
<macro name="publisher">
<group delimiter=": ">
<text variable="publisher-place"/>
<text variable="publisher"/>
</group>
</macro>
<macro name="year-date">
<choose>
<if variable="issued">
<date variable="issued">
<date-part name="year"/>
</date>
</if>
<else>
<text term="no date"/>
</else>
</choose>
</macro>
<macro name="edition">
<choose>
<if is-numeric="edition">
<group delimiter=" ">
<number variable="edition" form="ordinal"/>
<text term="edition" form="short" suffix="."/>
</group>
</if>
<else>
<text variable="edition" suffix="."/>
</else>
</choose>
</macro>
<macro name="pages">
<group>
<label variable="page" form="short" include-period="true" suffix=" "/>
<text variable="page"/>
</group>
</macro>
<citation>
<option name="et-al-min" value="3"/>
<option name="et-al-use-first" value="1"/>
<option name="et-al-subsequent-min" value="3"/>
<option name="et-al-subsequent-use-first" value="1"/>
<option name="disambiguate-add-year-suffix" value="true"/>
<option name="disambiguate-add-names" value="true"/>
<option name="disambiguate-add-givenname" value="true"/>
<layout prefix="(" suffix=")" delimiter="; ">
<group delimiter=", ">
<group delimiter=", ">
<text macro="author"/>
</group>
<group delimiter=", ">
<group delimiter=", ">
<text macro="year-date"/>
</group>
<group>
<label variable="locator" suffix="." form="short"/>
<text variable="locator"/>
</group>
</group>
</layout>
</citation>
<bibliography>
<option name="hanging-indent" value="true"/>
<option name="et-al-min" value="4"/>
<option name="et-al-use-first" value="1"/>
<option name="entry-spacing" value="0"/>
<option name="line-spacing" value="0"/>
<sort>
<key macro="author"/>
<key variable="title"/>
</sort>
<layout>
<text macro="author" suffix=","/>
<date variable="issued" prefix=" " suffix=".">
<date-part name="year"/>
</date>
<choose>
<if type="book">
<group prefix=" " delimiter=" " suffix=",">
<text macro="title" />
<text macro="edition"/>
<text macro="editor"/>
</group>
<text prefix=" " suffix="." macro="publisher"/>
</if>
<else-if type="chapter">
<text macro="title" prefix=" " suffix="."/>
<group class="container" prefix=" " delimiter=" ">
<text term="in" text-case="capitalize-first"/>
<text macro="editor"/>
<text variable="container-title" font-style="italic" suffix="."/>
<text variable="collection-title" suffix="."/>
<text variable="event" suffix="."/>
<group suffix="." delimiter=", ">
<text macro="publisher" prefix=" "/>
<text macro="pages" />
</group>
</group>
</else-if>
<else-if type="thesis">
<group prefix=" " suffix="." delimiter=". ">
<text macro="title"/>
<text variable="genre"/>
<text macro="publisher"/>
</group>
</else-if>
<else>
<group suffix=".">
<text macro="title" prefix=" "/>
<text macro="editor" prefix=" "/>
</group>
<group class="container" prefix=" " suffix=".">
<text variable="container-title" font-style="italic"/>
<group prefix=", ">
<text variable="volume" />
<text variable="issue" prefix="(" suffix=")"/>
</group>
<group prefix=", ">
<label variable="locator" suffix="." form="short"/>
<text variable="page"/>
</group>
</group>
</else>
</choose>
<text prefix=" " macro="access" suffix="."/>
</layout>
</bibliography>
</style>

I used the address chrome://zotero/content/tools/csledit.xul to select the Harvard citation style from the menu. I copied the csl (which validates as xml according to the text editor jedit) and made the change as advised. See below. The csl file was saved as a new file name harvardeuropeandate.csl. The csl file is opened using firefox menu bar and the style appears in the zotero styles list within writer.

<?xml version="1.0" encoding="UTF-8"?>
<style xmlns="http://purl.org/net/xbiblio/csl" xml:lang="en" class="in-text">
<info>
<title>Harvard Reference format 1 (Author-Date European format)</title>
<id>http://www.zotero.org/styles/harvard1e</id>;
<link href="http://www.zotero.org/styles/harvard1"/>
<author>
<name></name>
<email></email>
</author>
<category term="author-date"/>
<category term="generic-base"/>
<updated>2010-mm-ddThh:mm:ss+00:00</updated>
<summary>The Harvard author-date style, adapted from original version by Julian Onions, julian.onions@gmail.com</summary>
<link href="http://libweb.anglia.ac.uk/referencing/harvard.htm" rel="documentation"/>
</info>
<macro name="editor">
<names variable="editor" delimiter=", ">
<name and="symbol" initialize-with=". " delimiter=", "/>
<label form="short" prefix=", " text-case="lowercase" suffix="."/>
</names>
</macro>
<macro name="anon">
<text term="anonymous" form="short" text-case="capitalize-first"/>
</macro>
<macro name="author">
<names variable="author">
<name name-as-sort-order="all" and="symbol" sort-separator=", " initialize-with="." delimiter-precedes-last="never" delimiter=", "/>
<label form="short" prefix=" " suffix="." text-case="lowercase"/>
<substitute>
<names variable="editor"/>
<text macro="anon"/>
</substitute>
</names>
</macro>
<macro name="author-short">
<names variable="author">
<name form="short" and="symbol" delimiter=", " delimiter-precedes-last="never" initialize-with=". "/>
<substitute>
<names variable="editor"/>
<names variable="translator"/>
<text macro="anon"/>
</substitute>
</names>
</macro>
<macro name="access">
<group>
<text value="Available at:" suffix=" "/>
<text variable="URL"/>
<group prefix=" [" suffix="]">
<text term="accessed" text-case="capitalize-first" suffix=" "/>
<date variable="accessed">
<date-part name="month" suffix=" "/>
<date-part name="day" suffix=", "/>
<date-part name="year"/>
</date>
</group>
</group>
</macro>
<macro name="title">
<choose>
<if type="book thesis" match="any">
<text variable="title" font-style="italic"/>
</if>
<else>
<text variable="title"/>
</else>
</choose>
</macro>
<macro name="publisher">
<group delimiter=": ">
<text variable="publisher-place"/>
<text variable="publisher"/>
</group>
</macro>
<macro name="year-date">
<choose>
<if variable="issued">
<date variable="issued">
<date-part name="year"/>
</date>
</if>
<else>
<text term="no date"/>
</else>
</choose>
</macro>
<macro name="edition">
<choose>
<if is-numeric="edition">
<group delimiter=" ">
<number variable="edition" form="ordinal"/>
<text term="edition" form="short" suffix="."/>
</group>
</if>
<else>
<text variable="edition" suffix="."/>
</else>
</choose>
</macro>
<macro name="pages">
<group>
<label variable="page" form="short" include-period="true" suffix=" "/>
<text variable="page"/>
</group>
</macro>
<citation>
<option name="et-al-min" value="3"/>
<option name="et-al-use-first" value="1"/>
<option name="et-al-subsequent-min" value="3"/>
<option name="et-al-subsequent-use-first" value="1"/>
<option name="disambiguate-add-year-suffix" value="true"/>
<option name="disambiguate-add-names" value="true"/>
<option name="disambiguate-add-givenname" value="true"/>
<layout prefix="(" suffix=")" delimiter="; ">
<group delimiter=", ">
<group delimiter=", ">
<text macro="author-short"/>
<text macro="year-date"/>
</group>
<group>
<label variable="locator" suffix="." form="short"/>
<text variable="locator"/>
</group>
</group>
</layout>
</citation>
<bibliography>
<option name="hanging-indent" value="true"/>
<option name="et-al-min" value="4"/>
<option name="et-al-use-first" value="1"/>
<sort>
<key macro="author"/>
<key variable="title"/>
</sort>
<layout>
<text macro="author" suffix=","/>
<date variable="issued" prefix=" " suffix=".">
<date-part name="year"/>
</date>
<choose>
<if type="book">
<group prefix=" " delimiter="" suffix=",">
<text macro="title" />
<text macro="edition"/>
<text macro="editor"/>
</group>
<text prefix=" " suffix="." macro="publisher"/>
</if>
<else-if type="chapter">
<text macro="title" prefix=" " suffix="."/>
<group class="container" prefix=" " delimiter="">
<text term="in" text-case="capitalize-first"/>
<text macro="editor"/>
<text variable="container-title" font-style="italic" suffix="."/>
<text variable="collection-title" suffix="."/>
<text variable="event" suffix="."/>
<group suffix="." delimiter=", ">
<text macro="publisher" prefix=" "/>
<text macro="pages" />
</group>
</group>
</else-if>
<else-if type="thesis">
<group prefix=" " suffix="." delimiter=". ">
<text macro="title"/>
<text variable="genre"/>
<text macro="publisher"/>
</group>
</else-if>
<else>
<group suffix=".">
<text macro="title" prefix=" "/>
<text macro="editor" prefix=" "/>
</group>
<group class="container" prefix=" " suffix=".">
<text variable="container-title" font-style="italic"/>
<group prefix=", ">
<text variable="volume" />
<text variable="issue" prefix="(" suffix=")"/>
</group>
<group prefix=", ">
<label variable="locator" suffix="." form="short"/>
<text variable="page"/>
</group>
</group>
</else>
</choose>
<text prefix=" " macro="access" suffix="."/>
</layout>
</bibliography>
</style>