You can do this by creating a short macro and using a WHERE statement to control the time shown on the graph. Here's a fully worked example that you can use to see how this is done and then you can modify your code accordingly. Note that you need SAS 9.4 + to have this work. HTH.
/*--This program requires SAS 9.4--*/
%macro lineAnnually(dsn=, start=, end=);
%let start=%sysfunc(inputn(&start,anydtdte9.));
%let end=%sysfunc(inputn(&end,anydtdte9.));
%let dif=%sysfunc(intck(month,&start,&end));
%do i=0 %to &dif;
%let date=%sysfunc(intnx(month,&start,&i,b),date9.);
proc sgplot data=sashelp.stocks;
*used to control the time period shown on the graph;
where date > &start and date < "&date"d and stock='IBM';
series x=date y=open;
xaxis interval=month min='01Jan1990'd max='01Jan2007'd;
yaxis values=(0 to 200 by 50);
footnote j=l 'Created using the SGPLOT Procedure, using SAS UE';
run;
quit;
%end;
%mend lineAnnually;
/*--Create animation--*/
options papersize=('11 in', '7 in')
printerpath=gif
animation=start
animduration=0.1
animloop=yes
noanimoverlay
nodate;
ods printer file='/folders/myfolders/LineGraph.gif';
ods graphics / width=10in height=6in imagefmt=GIF;
%lineAnnually(dsn=sashelp.stocks , start=01Jan1990, end=01Jan2007);
options printerpath=gif animation=stop;
ods printer close;
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