622 METASPERMAE OF HE MINNESOTA VALLEY. 
From the facts of distribution compiled above it is possible 
to present the following numerical statistics. 
2. Statistics of Families.—Numerical. 
al 1 Lo} n oe 
. [a a ar 1 
i |e 1/8 |2 1483/8 js 1e 
e(2is |@ [sels |esl8 
So | a /.8 | | &2 Sa |< 
E > Q 1 Beige | 72] 
S| 8 |Sa/8g| 2s |Fs | 2b) Ha 
s | 6 |s8|] 68} 5a] cA] 8] 68 
a 4214 Zz a Az a a 
MonocotyledoneS........ 12.06. seeeeeeee| 48 21 13 3 6 2 0 0 
Archichlamyde® ...........cce cscs ee wees 131 60 29 14 13 5 13 1 
Metachlamydem........... .. 48 25 18 1 9 2 4 1 
TOtAIS te sarvyeviesene dues wilde as Rees teeeae 222 | 106 55 18 28 9 17 2 
The significance of the above figures will not be fully appre- 
hended unless the various percentages are kept in mind. To 
put these before the eye in a separate table will perhaps be 
useful. In the following tabulation the relation of the various 
range-elements to the taxonomic groups and the analysis of 
each taxonomic group according to range are presented. Such 
a table indicates more exactly than the one previously con- 
structed just what influence may be credited to the different 
taxonomic groups in the general distribution of the families. 
3. Statistics of Families.—Percentages. 
1 0 as t 0 : » ; |e me I 
g.|s |ge| &|s je fg |e [egle [2B |e 
ob Sol mil. i 78 lo |ES . : . 
=o o Po 4 a o ‘a Bo 24 =< a 
a2 jsa les] eealea |, [8 |se |s3 }23 /83 
ws wt |On oa [eS fon 3 2 alliage |Oae lSe 
Bree le | SIEZIS, Ra [ea tes lee [ES ee 
3 5 5 5 = -A 10g a pe 
Bo lee 'e@ | o lee es 28 |S Jas [aS IBS [BS 
aa /98 ©9198 los (OB es]. [os eH LAS 
SS lea [PS] o/Sn [oe [ao ES lax ine as jee 
Bs (58 [sa | SIS ISS lod [RS [fa] 8} .8 1.8 
(aVai One (8 aly ja |> fA le | ia ja 
Monocotyledones..........} 23.6] 16.6) 21.4 22.2] 0.0] 0 0} 61.9) 14.2) 28.5] 95] 0.0] 0.0 
Archichlamydew..... .... 52.7) 77.7| 46.4) 55.5] 76.4] 50.0] 48.3] 23.3) 21.6] 8.3] 21.6] 1.8 
Metachlamydem.......... 24.6) 5.5) 32.1] 22.2) 23.5] 50.0] 52 0] 4.0] 36.0) 8.01 16.0) 4.0 
Examination of the two tabulations preceding will serve to 
indicate the principal characters, by families, of the meta- 
spermic population of the Minnesota valley. Of the 106 
families, 55 are of cosmopolitan range, 90 are extratropical, 88 
tropical. Of the 90 extratropical families, 55 are also in the 
tropics, while of the 83 tropical, 55 are also in the extratrop- 
