Z
u
ż
yc
i
e
i
p
o
m
i
a
r
z
i
m
n
e
j
i
c
i
ep
ł
e
j
wo
d
y
Water demand anal
y
s
i
s
i
s
a critical t
oo
l in the effective management
o
f
w
ater
s
uppl
y
net
wo
r
k
s
,
s
upp
o
rting a
w
ide
range
o
f
o
perati
o
nal and
s
trategic ta
s
k
s
.
The
s
e include net
wo
r
k
planning, m
o
derni
s
ati
o
n eff
o
rt
s
, inve
s
tment deci
s
i
o
n-
ma
k
ing, fl
ow
and pre
ss
ure
o
ptimi
s
ati
o
n, and determining appr
o
priate c
o
nnecti
o
n parameter
s
f
o
r ne
w
l
y
de
s
igned
building
s
.
D
epending
o
n the
o
bjective,
s
uch anal
y
s
e
s
can ta
k
e vari
o
u
s
f
o
rm
s
, ranging fr
o
m fundamental
s
tati
s
tical
evaluati
o
n
s
t
o
m
o
re advanced
s
tudie
s
that inc
o
rp
o
rate multiple fact
o
r
s
influencing
w
ater demand
.
Thi
s
s
tud
y
f
o
cu
s
e
s
o
n
the devel
o
pment and characteri
s
ati
o
n
o
f a
w
ater c
o
n
s
umpti
o
n pattern f
o
r a
s
tudent d
o
rmit
o
r
y
in Wr
o
cła
w.
G
iven the
unique nature
o
f d
o
rmit
o
r
y
w
ater u
s
age, particular attenti
o
n
w
a
s
paid t
o
c
o
mparing
w
ater demand bet
w
een
wo
r
k
ing
da
y
s
and
w
ee
k
end
s
.
B
y
empl
oy
ing a t
wo
-mean
s
s
tati
s
tical te
s
t, the anal
y
s
i
s
revealed that
w
hile the time
s
erie
s
repre
s
enting dail
y
w
ater c
o
n
s
umpti
o
n
o
n
w
ee
k
da
y
s
and
w
ee
k
end
s
e
x
hibit di
s
tinct characteri
s
tic
s
, the
o
verall average
dail
y
w
ater c
o
n
s
umpti
o
n remain
s
s
tati
s
ticall
y
equivalent
.
The
s
e finding
s
s
ugge
s
t that alth
o
ugh
s
tudent
s
adju
s
t their
w
ater
u
s
age habit
s
ba
s
ed
o
n their
s
chedule
s
the t
o
tal v
o
lume
o
f
w
ater c
o
n
s
umed remain
s
s
table acr
o
ss
different da
y
s
o
f the
w
ee
k.
Such in
s
ight
s
are valuable f
o
r
w
ater
s
uppl
y
net
wo
r
k
manager
s
, enabling m
o
re preci
s
e demand f
o
reca
s
ting and
en
s
uring efficient
s
y
s
tem
o
perati
o
n, particularl
y
in area
s
w
ith a high c
o
ncentrati
o
n
o
f
s
imilar re
s
idential building
s
.
Ke
y
wo
rd
s
:
w
ater c
o
n
s
umpti
o
n;
w
ater c
o
n
s
umpti
o
n pattern;
w
ater c
o
n
s
umpti
o
n anal
y
s
i
s
;
w
ater di
s
tributi
o
n
s
y
s
tem;
w
ater demand
.
A
nali
z
a r
o
z
bi
o
r
ów
wo
d
y
je
s
t i
s
t
o
tn
y
m nar
z
ęd
z
iem
w
s
p
o
magając
y
m
z
ar
z
ąd
z
anie
s
iecią
wo
d
o
ciąg
ow
ą,
w
z
adaniach
ta
k
ich ja
k
plan
ow
anie prac e
k
s
pl
o
atac
y
jn
y
ch, m
o
derni
z
ac
y
jn
y
ch lub in
w
e
s
t
y
c
y
jn
y
ch,
o
pt
y
mali
z
acja pr
z
epł
yw
u
wo
d
y
lub ci
ś
nienia,
ok
re
ś
lenie parametr
ów
pr
z
y
łąc
z
a dla pr
o
je
k
t
ow
aneg
o
bud
y
n
k
u itp
.
W
z
ale
ż
n
o
ś
ci
o
d celu, m
o
ż
e
pr
z
y
jąć p
o
s
tać p
o
d
s
ta
wow
ej anali
z
y
s
tat
y
s
t
y
c
z
nej p
o
legającej na
o
prac
ow
aniu
w
z
o
rca r
o
z
bi
o
r
ów
wo
d
y
i
o
pi
s
aniu
g
o
ja
ko
pr
o
s
teg
o
s
z
eregu c
z
a
s
ow
eg
o
, ja
k
i
z
aa
w
an
s
ow
anej prac
y
u
w
z
ględniającej
s
z
ereg c
z
y
nni
ków
m
o
gąc
y
ch
w
pł
yw
ać na p
o
b
ó
r
wo
d
y.
P
o
d
o
bnie anali
z
ę tę m
o
ż
na pr
z
epr
ow
ad
z
ić dla p
o
jed
y
nc
z
y
ch bud
y
n
ków
pr
z
y
u
ż
y
ciu
dan
y
ch
z
bieran
y
ch pr
z
e
z
k
il
k
a dni lub t
y
g
o
dni
o
ra
z
dla całej d
z
ielnic
y
lub mia
s
ta, gd
z
ie p
o
miar
y
tr
w
ają
k
il
k
a lat
.
B
adania r
o
z
bi
o
r
ów
wo
d
y
pr
z
ed
s
ta
w
i
o
ne
w
tej prac
y
s
ą p
o
ś
w
ięc
o
ne
o
prac
ow
aniu i
o
pi
s
aniu
w
z
o
rca r
o
z
bi
o
r
ów
wo
d
y
d
o
mu
s
tudenc
k
ieg
o.
S
z
c
z
eg
ó
lną u
w
agę p
o
ś
w
ięc
o
n
o
p
o
r
ów
naniu r
o
z
bi
o
r
ów
wo
d
y
w
d
z
ień r
o
b
o
c
z
y
i d
z
ień
wo
ln
y
(
w
ee
k
end)
.
Pr
z
epr
ow
ad
z
o
na anali
z
a,
z
wyko
r
z
y
s
taniem te
s
tu d
wó
ch
ś
rednich
wyk
a
z
ała, i
ż
te
s
z
eregi
c
z
a
s
ow
e mają
o
dmienna chara
k
ter
y
s
t
yk
ę, ale
ś
rednie d
o
b
ow
e
z
u
ż
y
cie
wo
d
y
je
s
t
s
tat
y
s
t
y
c
z
nie r
ów
ne
.
Sł
ow
a
k
luc
z
ow
e
:
z
u
ż
y
cie
wo
d
y
;
w
z
o
r
z
ec r
o
z
bi
o
ru
wo
d
y
; anali
z
a
z
u
ż
y
cia
wo
d
y
;
s
ieć
wo
d
o
ciąg
ow
a;
z
ap
o
tr
z
eb
ow
anie
wo
d
y.
I
n
t
r
o
d
u
ct
i
on
Water fl
ow
i
s
o
ne
o
f the critical parame-
ter
s
in
w
ater net
wo
r
k
management
.
H
ow
ev-
er,
w
ater c
o
n
s
umpti
o
n i
s
n
o
t
o
f c
o
n
s
tant val-
ue and depend
s
o
n the circadian rh
y
thm
o
f
individual u
s
er
s
[
13
].
F
r
o
m the per
s
pective
o
f
w
ater
s
uppl
y
net
wo
r
k
management, an indi-
vidual’
s
w
ater c
o
n
s
umpti
o
n i
s
difficult t
o
trac
k
,
s
o
s
pecific
o
bject
s
,
s
uch a
s
building
s
,
di
s
trict
s
o
r even entire citie
s
and regi
o
n
s
, are
s
elected f
o
r re
s
earch and anal
y
s
i
s
.
The
s
e
anal
y
s
e
s
are perf
o
rmed f
o
r vari
o
u
s
purp
o
s
-
e
s
,
s
o
the qualit
y
,
s
c
o
pe and degree
o
f data
pr
o
ce
ss
ing var
y.
O
ne
o
f the fundamental
d
o
cument
s
in P
o
li
s
h legi
s
lati
o
n regulating
w
ater c
o
n
s
umpti
o
n
s
tandard
s
i
s
the
R
egula-
ti
o
n
o
f the
M
ini
s
ter
o
f
I
nfra
s
tructure
o
f Janu-
ar
y
14, 2002,
o
n determining average
w
a-
ter c
o
n
s
umpti
o
n
s
tandard
s
[
10
].
H
ow
ever,
the regulati
o
n d
o
e
s
n
o
t
s
pecif
y
the nature
o
f
w
ater c
o
n
s
umpti
o
n, but
o
nl
y
it
s
am
o
unt in
a
s
pecific unit
o
f time,
s
uch a
s
a da
y
o
r
a m
o
nth
.
Theref
o
re it i
s
nece
ss
ar
y
t
o
e
x
amine
m
o
re detailed data t
o
o
btain a m
o
re accu-
rate picture
o
f
w
ater c
o
n
s
umpti
o
n
.
O
ne
o
f the m
o
re fundamental anal
y
s
e
s
i
s
the devel
o
pment
o
f
w
ater di
s
tributi
o
n pattern
s
t
o
determine the nature
o
f
w
ater c
o
n
s
ump-
ti
o
n, including it
s
unevenne
ss
, a
s
de
s
cribed in
D
z
imiń
s
k
a et al
.
[
4
].
The
wo
r
k
e
x
amined the
w
ater c
o
n
s
umpti
o
n
o
f
s
everal
s
elected facili-
tie
s
,
s
uch a
s
re
s
idential building
s
, c
o
mmercial
pavili
o
n
s
,
s
ch
oo
l
s
and a c
o
mmunit
y
centre,
l
o
cated in the
s
ame
D
M
A
z
o
ne
o
f
B
y
dg
o
-
s
z
c
z
, P
o
land
.
B
a
s
ed
o
n the data
o
btained,
h
o
url
y
w
ater c
o
n
s
umpti
o
n pattern
s
w
ere
devel
o
ped, and c
o
efficient
s
o
f unevenne
ss
o
f
w
ater c
o
n
s
umpti
o
n
w
ere calculated
.
ME
ng Kar
o
l
Dyk
iert
‒
F
acult
y
o
f
E
nvir
o
nmental
E
ngineering, Wr
o
cła
w
Univer
s
it
y
o
f Science and Techn
o
l
o
g
y
, P
o
land,
F
acult
y
o
f
I
nf
o
rmati
o
n
and C
o
mmunicati
o
n Techn
o
l
o
g
y
, Wr
o
cła
w
Univer
s
it
y
o
f Science and Techn
o
l
o
g
y
, P
o
land,
M
unicipal Water and Se
w
erage C
o
mpan
y
(
M
PWiK S
.A.
)
in Wr
o
cła
w
, P
o
land,
k
ar
o
l
.
d
yk
iert
@
p
w
r
.
edu
.
pl
D
E
ng W
o
jciech Cie
ż
a
k
‒
F
acult
y
o
f
E
nvir
o
nmental
E
ngineering, Wr
o
cła
w
Univer
s
it
y
o
f Science and Techn
o
l
o
g
y
, P
o
land,
wo
jciech
.
cie
z
a
k@
p
w
r
.
edu
.
pl
41
An
E
x
amp
l
e
of
a
n
U
n
c
onv
e
n
t
i
on
a
l
R
e
s
i
de
n
t
i
a
l
B
u
il
d
i
n
g
An
a
li
z
a
r
o
z
b
i
o
r
ó
w w
o
d
y
d
o
m
u
st
u
de
n
ck
i
eg
o
j
a
k
o
p
r
z
ykł
ad
n
i
e
st
a
n
da
r
d
o
w
eg
o
b
u
d
y
n
k
u
m
i
e
s
z
k
a
l
n
eg
o
K
AR
O
L
D
Y
K
I
E
R
T, W
O
JC
I
E
CH C
I
E
Ż
A
K
DO
I 10
.
36119/15
.
2025
.
7
-
8
.
5
Z
u
ż
yc
i
e
i
p
o
m
i
a
r
z
i
m
n
e
j
i
c
i
ep
ł
e
j
w
o
d
y/C
on
s
u
mp
t
i
on
a
n
d
mea
s
u
r
eme
n
t
of
h
ea
t
a
n
d
c
o
l
d
w
a
t
e
r
An
a
l
ys
i
s
of
W
a
t
e
r
D
ema
n
d
i
n
S
t
u
de
n
t
Do
r
m
i
t
o
ri
e
s
:
427-8/2025
www.
inf
o
rmacjain
s
tal
.
c
o
m
.
pl
Z
Than
k
s
t
o
the re
s
earch, accurate inf
o
rmati
o
n
o
n
w
ater c
o
n
s
umpti
o
n
w
a
s
o
btained,
w
hich i
s
a valuable
s
o
urce
o
f
k
n
ow
ledge f
o
r
s
cienti
s
t
s
,
de
s
igner
s
and engineer
s
managing the
w
ater
s
uppl
y
net
wo
r
k.
Thi
s
re
s
earch indicated the
difference
s
bet
w
een the data
o
btained during
mea
s
urement
s
and the literature value
s
.
Similar re
s
earch
w
a
s
carried
o
ut in
wo
r
k
b
y
G
wo
ź
d
z
iej-
M
a
z
ur
[
5
]
,
w
hich e
x
amined the
w
ater meter
s
i
z
e
s
electi
o
n b
y
determining the
di
s
tributi
o
n
o
f characteri
s
tic fl
ow
s
in the f
o
rm
o
f
the minimum and ma
x
imum v
o
lume fl
ow
o
f
w
ater at the
w
ater
s
uppl
y
c
o
nnecti
o
n during
24-h
o
ur and an attempt t
o
determine the num-
ber
o
f apparent l
o
ss
e
s
.
A
n ultra
s
o
nic
w
ater
meter
w
ith the highe
s
t mea
s
urement accurac
y
o
f
R
800
w
a
s
u
s
ed f
o
r the te
s
t
s
.
D
uring the
wo
r
k
, the ma
x
imum, minimum and average
characteri
s
tic fl
ow
s
at the
w
ater
s
uppl
y
c
o
n-
necti
o
n at
s
pecific da
y
h
o
ur
s
w
ere calculated
f
o
r t
wo
s
elected multi-unit building
s
.
The anal
y
-
s
i
s
pr
o
ved that the
s
hare
o
f minimum fl
ow
s
in all
w
ater c
o
n
s
umpti
o
n i
s
50
%
.
Theref
o
re, it i
s
rea-
s
o
nable f
o
r the
ow
ner
s
o
f
w
ater meter
s
, i
.
e
.
w
ater
s
uppl
y
c
o
mpanie
s
, t
o
utili
z
e
w
ater me-
ter
s
w
ith
s
i
z
eable metr
o
l
o
gical accurac
y
due t
o
the p
o
tential apparent
w
ater l
o
ss
e
s
.
D
a Silva et al
.
carried
o
ut a c
o
mprehen-
s
ive anal
y
s
i
s
o
f
w
ater c
o
n
s
umpti
o
n
.
Thi
s
wo
r
k
e
x
amined
w
ater c
o
n
s
umpti
o
n rec
o
rded in
78 building
s
f
o
r 25 m
o
nth
s
[
1
].
A
t that time,
s
i
x
m
o
del
s
w
ere devel
o
ped de
s
cribing the
m
o
nthl
y
w
ater c
o
n
s
umpti
o
n in the building,
the be
s
t
o
ne
w
ith an accurac
y
o
f 91
%
.
Than
k
s
t
o
thi
s
wo
r
k
, parameter
s
affecting the am
o
unt
o
f
w
ater c
o
n
s
umpti
o
n in the building
w
ere
determined, the m
o
s
t imp
o
rtant
o
f
w
hich i
s
the age
o
f the building, number
o
f fl
oo
r
s
,
area per fl
oo
r, area per per
s
o
n, number
o
f
inhabitant
s
per r
oo
m and apartment, number
o
f bedr
oo
m
s
, and t
y
pe
o
f
s
y
s
tem rec
o
rding
c
o
n
s
umpti
o
n
.
Thi
s
s
tud
y
highlight
s
the c
o
m-
ple
x
it
y
o
f the pr
o
blem
o
f de
s
cribing and
f
o
reca
s
ting
w
ater u
s
e
.
Similar re
s
earch
o
n mete
o
r
o
l
o
gical fact
o
r
s
w
a
s
pre
s
ented in Nia
z
mardi et al
.
[
9
].
The
wo
r
k
anal
y
s
ed data fr
o
m 5
y
ear
s
o
btained
fr
o
m mea
s
urement
s
in 566 re
s
idential build-
ing
s
u
s
ing the
B
a
y
e
s
ian
Es
timat
o
r
o
f
A
brupt
Change, Sea
s
o
nal, and Trend (
BE
A
ST) alg
o
-
rithm
.
I
n additi
o
n t
o
s
imultane
o
u
s
l
y
e
x
amining
mete
o
r
o
l
o
gical fact
o
r
s
, the l
o
cati
o
n
o
f mea
s
-
urement p
o
int
s
(building
s
)
w
a
s
al
s
o
c
o
n
s
id-
ered
.
The re
s
ult
s
did n
o
t indicate an
y
s
patial
pattern
s
influencing
w
ater u
s
e
.
There
w
ere al
s
o
n
o
change
s
in the v
o
lume
o
f
w
ater c
o
n
s
ump-
ti
o
n, e
x
cluding the initial peri
o
d
o
f the C
O
V-
I
D
-19 pandemic
.
The fact
o
r
s
that influence
s
ea
s
o
nal
w
ater c
o
n
s
umpti
o
n are temperature,
average
w
ind
s
peed and air humidit
y.
A
n imp
o
rtant a
s
pect that i
s
c
o
n
s
tantl
y
devel
o
ping i
s
f
o
reca
s
ting
w
ater demand
.
I
n
2019, a c
o
mprehen
s
ive cr
o
ss
-
s
ecti
o
nal
wo
r
k
w
a
s
publi
s
hed, illu
s
trating the re
s
earch direc-
ti
o
n
s
related t
o
thi
s
i
ss
ue
[
8
].
The article brief-
l
y
di
s
cu
ss
e
s
re
s
earch
wo
r
k
s
u
s
ing artificial
intelligence (
A
I
) m
o
del
s
and related alg
o
-
rithm
s
,
s
uch a
s
vari
o
u
s
t
y
pe
s
o
f neural net-
wo
r
k
s
, regre
ss
i
o
n m
o
del
s
, genetic alg
o
-
rithm
s
, fu
zz
y
l
o
gic,
s
upp
o
rt vect
o
r machine
s
,
etc
.
The auth
o
r
s
p
o
int
o
ut that currentl
y
,
o
ne
o
f the alg
o
rithm
s
cann
o
t be
s
aid t
o
be m
o
re
accurate, but the
y
o
utperf
o
rm
s
tati
s
tical m
o
d-
el
s
in their adaptabilit
y.
Neverthele
ss
, re-
s
earch
wo
r
k
require
s
a br
o
ader de
s
cripti
o
n
o
f the m
o
del
s
u
s
ed, a
s
w
ell a
s
c
o
n
s
idering
a m
o
re
s
ignificant number
o
f fact
o
r
s
,
s
uch a
s
humidit
y
, pre
ss
ure
o
r temperature,
w
hich
w
ill
s
ignificantl
y
increa
s
e the c
o
mple
x
it
y
o
f the
pr
o
blem but
w
ill al
s
o
c
o
ntribute t
o
a greater
s
electi
o
n
o
f re
s
earch meth
o
d
s
.
O
ne e
x
ample
o
f the u
s
e
o
f
A
I
in detect-
ing
w
ater c
o
n
s
umpti
o
n pattern
s
i
s
the
wo
r
k
o
f
Jaquim Leitã
o
et al
.
[
6
]
,
w
hich e
x
amined the
p
o
ss
ibilitie
s
o
f anal
y
s
ing
w
ater demand b
y
clu
s
tering time
s
erie
s
.
The c
o
nducted re
s
earch
indicated that alth
o
ugh the accurac
y
o
f the
clu
s
tering perf
o
rmed depend
s
o
n the target
number
o
f clu
s
ter
s
and the ad
o
pted data
prepr
o
ce
ss
ing meth
o
d
s
, data clu
s
tering al-
l
ow
s
f
o
r a pict
o
rial pre
s
entati
o
n
o
f the nature
o
f dail
y
w
ater c
o
n
s
umpti
o
n than
k
s
t
o
the al-
g
o
rithm
s
u
s
ed,
w
hich all
ow
s
f
o
r fa
s
ter detec-
ti
o
n and de
s
cripti
o
n
o
f e
x
i
s
ting pattern
s
ba
s
ed
o
n
s
cientific meth
o
d
s
.
A
n e
x
ample
o
f re
s
earch dealing
w
ith the
i
ss
ue
o
f
s
tati
s
tical re
s
earch i
s
the
wo
r
k
o
f Wa
w
-
r
z
o
s
e
k
et al
.
[
12
].
The
wo
r
k
pr
o
p
o
s
ed a
s
tati
s
-
tical inference meth
o
d
o
l
o
g
y
u
s
ing
w
hich an
anal
y
s
i
s
o
f
w
ater c
o
n
s
umpti
o
n
w
a
s
carried
o
ut
f
o
r data
o
btained fr
o
m rand
o
m mea
s
urement
peri
o
d
s
,
w
here there
w
a
s
n
o
s
ignificant
am
o
unt
o
f accurate data, and the mea
s
ure-
ment
s
w
ere n
o
t carried
o
ut
s
imultane
o
u
s
l
y.
A
s
a re
s
ult
o
f the calculati
o
n
s
, it
w
a
s
f
o
und that
l
o
ng-term mea
s
urement
s
o
f the accumulated
value
s
o
f m
o
nthl
y
di
s
tributi
o
n
s
can pr
o
vide
a l
o
t
o
f inf
o
rmati
o
n if the
y
are
s
upplemented
w
ith a certain number
o
f
w
ee
k
l
y
and dail
y
mea
s
urement
s
,
w
ith even a much
s
h
o
rter
mea
s
urement peri
o
d
.
The ab
o
ve e
x
ample
s
c
o
nfirm that
w
ater partiti
o
n
s
and their nature
and anal
y
s
i
s
are c
o
mple
x
i
ss
ue
s
that
w
ater
c
o
mpanie
s
can u
s
e t
o
impr
o
ve the functi
o
ning
o
f the
w
ater
s
uppl
y
net
wo
r
k.
C
o
n
s
idering climate change and pr
o
-
gre
ss
ive urbani
z
ati
o
n,
w
hich negativel
y
af-
fect the
s
ecurit
y
and c
o
ntinuit
y
o
f
w
ater
s
up-
plie
s
[
7
]
, increa
s
ing
k
n
ow
ledge ab
o
ut the
w
ater
s
uppl
y
net
wo
r
k
and the recipient
s
w
h
o
u
s
e it ma
y
be nece
ss
ar
y
f
o
r the management
and
o
perati
o
n
o
f the net
wo
r
k.
Thi
s
nece
ss
it
y
re
s
ult
s
n
o
t
o
nl
y
fr
o
m the
s
cientific re
s
earch
cited but, in man
y
place
s
, al
s
o
fr
o
m applica-
ble regulati
o
n
s
.
The relativel
y
recentl
y
intr
o
-
duced
D
irective (
E
U) 2020/2184
o
f the
E
u-
r
o
pean Parliament and the C
o
uncil
o
n the
qualit
y
o
f
w
ater intended f
o
r human c
o
n-
s
umpti
o
n aim
s
t
o
limit
w
ater l
o
ss
e
s
cau
s
ed b
y
lea
k
s
[
2
].
A
m
o
re detailed under
s
tanding
o
f
the
w
ater
s
uppl
y
net
wo
r
k
b
y
e
x
amining the
w
ater c
o
n
s
umpti
o
n
o
f vari
o
u
s
entitie
s
w
ill
c
o
ntribute t
o
meeting thi
s
target
.
O
ne
o
f the m
o
s
t acce
ss
ible
s
o
luti
o
n
s
i
s
t
o
devel
o
p fundamental
w
ater di
s
tributi
o
n pat-
tern
s
f
o
r individual gr
o
up
s
o
f c
o
n
s
umer
s
, a
s
w
a
s
d
o
ne b
y
D
z
imiń
s
k
a et al
.[
4
].
F
o
r e
x
ample,
a
s
imilar anal
y
s
i
s
can be carried
o
ut f
o
r a
s
tu-
dent d
o
rmit
o
r
y
, c
o
mm
o
nl
y
k
n
ow
n a
s
an
“Ak
ademi
k”
in P
o
li
s
h
.
A
s
tudent d
o
rmit
o
r
y
ma
y
differ fr
o
m a t
y
pical re
s
idential facilit
y
a
s
s
tu-
dent
s
have a
s
lightl
y
different circadian rh
y
thm
[
11
]
,
w
hich i
s
reflected in
w
ater demand
.
M
a
t
e
ri
a
l
s
a
n
d
me
t
ho
d
s
a
the re
s
earch included five
s
tudent d
o
rmi-
t
o
rie
s
in Wr
o
cła
w
,
s
upplied
w
ith
w
ater
thr
o
ugh t
wo
metered
w
ater c
o
nnecti
o
n
s
.
The
s
tud
y
aimed t
o
devel
o
p a dail
y
w
ater di
s
tri-
buti
o
n pattern
w
ith a 1-h
o
ur interval f
o
r the
s
tudent h
o
u
s
e t
o
anal
y
s
e and de
s
cribe it
.
Water demand pattern
s
w
ere al
s
o
created
and c
o
mpared f
o
r a
wo
r
k
ing da
y
and a da
y
o
ff (
w
ee
k
end)
.
D
ata f
o
r the re
s
earch
w
ere
o
btained fr
o
m central
w
ater meter
s
bel
o
ng-
ing t
o
the
M
unicipal Water and Se
w
erage
C
o
mpan
y
(
M
PWiK S
.A.
) in Wr
o
cła
w.
The data anal
y
s
i
s
included
:
l
D
etermining the accurac
y
o
f the reading
s
–
verif
y
ing
w
hether there
w
ere an
y
inter-
rupti
o
n
s
in the mea
s
urement
s
.
l
Calculati
o
n
o
f h
o
url
y
w
ater c
o
n
s
umpti
o
n
f
o
r b
o
th c
o
nnecti
o
n
s
,
l
Summari
z
ing the
o
btained h
o
url
y
data
fr
o
m b
o
th c
o
nnecti
o
n
s
t
o
o
btain a
s
ingle
time
s
erie
s
f
o
r the te
s
ted
o
bject
s
,
l
C
o
nver
s
i
o
n
o
f h
o
url
y
data t
o
dail
y
data
f
o
r detecti
o
n and rem
o
val
o
f
o
utlier
o
b-
s
ervati
o
n
s
,
l
D
evel
o
pment
o
f a
w
ee
k
l
y
c
o
n
s
umpti
o
n
pattern
w
ith a 1-h
o
ur interval,
l
D
evel
o
pment
o
f a dail
y
di
s
tributi
o
n pat-
tern
w
ith a 1-h
o
ur interval f
o
r a
wo
r
k
ing
da
y
and a da
y
o
ff (
w
ee
k
end)
.
Calculati
o
n
s
, anal
y
s
i
s
and data vi
s
uali-
z
ati
o
n
w
ere perf
o
rmed in
Ex
cel
.
T
o
c
o
nduct
a
s
tati
s
tical te
s
t
o
f mean
s
, it
w
a
s
a
ss
umed that
the di
s
tributi
o
n
s
o
f b
o
th data
s
et
s
w
ere un-
k
n
ow
n
.
The number
o
f element
s
in the data-
s
et
s
w
a
s
s
ufficientl
y
large t
o
perf
o
rm the te
s
t
.
B
y
the
s
e a
ss
umpti
o
n
s
, n
o
rmal di
s
tributi
o
n ta-
ble
s
w
ere u
s
ed t
o
read the critical value u
and the f
o
ll
ow
ing f
o
rmula
[
3
]
w
a
s
empl
oy
ed
f
o
r the te
s
t
s
tati
s
tic
s
:
(2
.
1)
www.
inf
o
rmacjain
s
tal
.
c
o
m
.
pl
7-8/202543
Z
u
ż
yc
i
e
i
p
o
m
i
a
r
z
i
m
n
e
j
i
c
i
ep
ł
e
j
wo
d
y
‒
1
‒
2
1
2
1
2
12,
‒
‒
12
w
here u i
s
the te
s
t
s
tati
s
tic
s
,
x
i
s
the mean
o
f
w
ater c
o
n
s
umpti
o
n during a
w
ee
k
end, m
3
/h,
x
i
s
the mean
o
f
w
ater c
o
n
s
umpti
o
n during
a
wo
r
k
da
y
, S i
s
the
s
tandard deviati
o
n
o
f the
s
ample,
w
hich i
s
a
s
et
o
f h
o
url
y
data demand
s
regi
s
tered
o
n
w
ee
k
end
s
, S i
s
the
s
tandard
deviati
o
n
o
f the
s
ample
w
hich i
s
a
s
et
o
f h
o
ur-
l
y
data c
o
n
s
umpti
o
n regi
s
tered
o
n
w
ee
k
end
da
y
s
, n i
s
the number
o
f element
s
in the
s
et
c
o
ntaining dail
y
c
o
n
s
umpti
o
n regi
s
tered dur-
ing the
wo
r
k
ing da
y
s
, and n i
s
the number
o
f
element
s
in the
s
et c
o
ntaining dail
y
c
o
n
s
ump-
ti
o
n rec
o
rded during
w
ee
k
end
s
.
The remaining
data, i
.
e
.
s
tandard deviati
o
n
s
S and S a
s
w
ell a
s
arithmetic mean
s
x
and
x
,
w
ere
calculated u
s
ing the
M
icr
o
s
o
ft
Ex
cel functi
o
n
.
R
e
s
u
l
ts
a
n
d
d
i
sc
u
ss
i
on
A
s
part
o
f the re
s
earch, the anal
y
s
i
s
c
o
v-
ered five univer
s
it
y
s
tudent d
o
rmit
o
rie
s
in
Wr
o
cła
w
, pr
o
viding acc
o
mm
o
dati
o
n f
o
r ap-
pr
o
x
imatel
y
2,600 inhabitant
s
.
D
ue t
o
the
G
eneral
D
ata Pr
o
tecti
o
n
R
egulati
o
n and the
data pr
o
vi
s
i
o
n agreement, the d
o
rmit
o
r
y
l
o
-
cati
o
n mu
s
t remain undi
s
cl
o
s
ed
.
The mea
s
ure-
ment peri
o
d la
s
ted a t
o
tal
o
f 12
w
ee
k
s
, fr
o
m
N
o
vember 15, 2022, t
o
F
ebruar
y
15, 2023,
but 4
w
ee
k
s
had t
o
be e
x
cluded fr
o
m the
data anal
y
s
i
s
a
s
o
utlier
s
due t
o
the Chri
s
tma
s
brea
k
at the univer
s
it
y
fr
o
m
D
ecember 23,
2022, t
o
Januar
y
9, 2023, and during e
x
-
aminati
o
n
s
e
ss
i
o
n that
s
tarted
o
n
F
ebruar
y
1,
2023
.
Theref
o
re, appr
o
x
imatel
y
eight
w
ee
k
s
o
f mea
s
urement
s
w
ere left f
o
r further anal
y
s
i
s
.
F
ull mea
s
urement re
s
ult
s
, in the f
o
rm
o
f dail
y
c
o
n
s
umpti
o
n, are pre
s
ented in
F
igure 1
.
N
o
o
utlier
s
w
ere e
x
cluded fr
o
m the data
s
et during the anal
y
s
i
s
o
f the remaining h
o
url
y
demand
s
.
Sub
s
equentl
y
, the h
o
url
y
demand
value
s
w
ere aggregated, and the mean h
o
ur-
l
y
c
o
n
s
umpti
o
n
w
a
s
calculated f
o
r each da
y
o
f the
w
ee
k
,
w
hich i
s
de
s
cribed in
F
igure 2
.
D
ue t
o
the difference
s
in
w
ater c
o
n
s
ump-
ti
o
n bet
w
een da
y
s
, the value
s
fr
o
m
wo
r
k
ing
da
y
s
and fr
o
m da
y
s
o
ff
w
ere averaged
s
ep-
aratel
y.
The re
s
ult
s
o
f thi
s
o
perati
o
n are pre-
s
ented in
F
igure 3,
w
hich al
s
o
include
s
the
h
o
url
y
w
ater demand pr
o
file f
o
r the da
y
w
ith
the highe
s
t rec
o
rded t
o
tal dail
y
c
o
n
s
umpti
o
n,
s
erving a
s
a reference f
o
r the mean value
s
.
A
vi
s
ual a
ss
e
ss
ment
o
f the
o
btained data
all
ow
ed u
s
t
o
c
o
nclude that the pea
k
w
ater
c
o
n
s
umpti
o
n
o
ccur
s
bet
w
een 22
:
00 and
24
:
00, b
o
th f
o
r h
o
lida
y
s
and
wo
r
k
ing da
y
s
,
w
hile the l
ow
e
s
t
w
ater c
o
n
s
umpti
o
n
o
ccur
s
bet
w
een 03
:
00 and 05
:
00
.
M
o
re
o
ver, in
the ca
s
e
o
f
wo
r
k
ing da
y
s
, the m
o
rning pea
k
in
w
ater c
o
n
s
umpti
o
n
o
ccur
s
bet
w
een 08
:
00
and 10
:
00,
w
ith the highe
s
t
w
ater c
o
n
s
ump-
ti
o
n
o
ccurring at 10
:
00
.
Thi
s
c
o
ntra
s
t
s
w
ith
the da
y
o
ff, during
w
hich pea
k
time
s
are at
11
:
00 and 12
:
00
.
I
t i
s
al
s
o
wo
rth n
o
ting that
the nature
o
f
w
ater c
o
n
s
umpti
o
n
o
n a da
y
o
ffregular nature
o
f
w
ater c
o
n
s
umpti
o
n during
i
s
much m
o
re regular and predictable
.
Whata
wo
r
k
ing da
y
fr
o
m 05
:
00 t
o
12
:
00 i
s
un-
s
tand
s
o
ut here i
s
the interval bet
w
een 05
:
00d
o
ubtedl
y
due t
o
the individual
s
chedule
s
o
f
and 12
:
00
.
I
n the ca
s
e
o
f the
wo
r
k
ing da
y
,individual
s
tudent
s
,
w
hich
s
tart
s
at p
o
tentiall
y
w
e are dealing
w
ith irregular c
o
n
s
umpti
o
n,equal time interval
s
,
w
hich increa
s
e
s
their
characteri
z
ed b
y
a
s
harp increa
s
e bet
w
eenactivit
y
,
w
hich tran
s
late
s
int
o
higher
w
ater
05
:
00 and 08
:
00, f
o
ll
ow
ed b
y
a decrea
s
ec
o
n
s
umpti
o
n in the m
o
ment
s
bef
o
re the
s
tart
in
w
ater demand f
o
r the ne
x
t h
o
ur and imme-
o
f cla
ss
e
s
.
B
a
s
ed
o
n thi
s
,
o
ne can a
ss
ume
diatel
y
after
w
ard
s
an
o
ther
s
harp increa
s
e
.
I
nthat m
o
s
t
s
tudent
s
s
tart cla
ss
e
s
bet
w
een 7
:
00
c
o
mpari
s
o
n, an alm
o
s
t linear relati
o
n
s
hipand 11
:
00 due t
o
the vi
s
ible pea
k.
Thi
s
i
s
can de
s
cribe the ri
s
e in c
o
n
s
umpti
o
n
o
ngenerall
y
c
o
nvergent
w
ith the pr
o
ven
s
tudent
a da
y
o
ff bet
w
een 05
:
00 and 12
:
00
.
The ir-
s
chedule
.
I
n c
o
ntra
s
t,
o
n a da
y
o
ff,
w
hen
F
i
g
.
1
.
D
a
il
y w
a
t
e
r
c
on
s
u
mp
t
i
on
Rys
.
1
.
Do
b
o
wy
r
o
z
b
i
ó
r w
o
d
y
F
i
g
.
2
.
M
ea
n
hou
r
l
y
w
a
t
e
r
dema
n
d
fo
r
ea
c
h
da
y
of
t
h
e
w
ee
k
Rys
.
2
.
Ś
r
ed
n
i
g
o
d
z
i
no
wy r
o
z-
b
i
ó
r w
o
d
y
w
da
n
y
m
d
n
i
u
ty
g
o
d
n
i
a
F
i
g
.
3
.
Av
e
r
age
hou
r
l
y w
a
t
e
r c
on
s
u
mp
t
i
on
pa
tt
e
r
n
fo
r
a
w
o
rk
i
n
g
da
y
,
da
y
off
a
n
d
t
h
e
h
i
g
h
e
st r
e
c
o
r
ded
da
il
y
dema
n
d
(
14
.
12
.
2022
)
Rys
.
3
.
Ś
r
ed
n
i
g
o
d
z
i
no
wy
r
o
z
b
i
ó
r
w
o
d
y
d
l
a
d
n
i
a
r
o
b
o
c
z
eg
o
o
r
a
z
d
n
i
a
w
o
l
n
eg
o
o
r
a
z
d
l
a
d
n
i
a
z
n
a
j
wy
ż
s
z
y
m
z
a
r
e
j
e
str
o
w
a
n
y
m
r
o
z
b
i
o
r
em
d
o
b
o
wy
m
(
14
.
12
.
2022
)
Z
m
o
s
t
s
tudent
s
have m
o
re freed
o
m t
o
s
tart
their da
y
, the variabilit
y
o
f
w
ater c
o
n
s
ump-
ti
o
n i
s
n
o
ticeabl
y
l
ow
er
.
C
o
mpared t
o
w
ater c
o
n
s
umpti
o
n in the
m
o
rning and ar
o
und n
oo
n,
w
ater demand in
the evening, i
.
e
.
bet
w
een 19
:
00 and mid-
night, i
s
s
imilar in v
o
lume and nature
.
B
o
th
o
n
a
wo
r
k
ing da
y
and a da
y
o
ff, the increa
s
e in
w
ater c
o
n
s
umpti
o
n i
s
alm
o
s
t linear, alth
o
ugh
w
ater c
o
n
s
umpti
o
n
o
n a
wo
r
k
ing da
y
i
s
m
o
re
irregular
.
M
o
re
o
ver, it i
s
n
o
ticeable that
o
n
a
wo
r
k
ing da
y
, the evening increa
s
e in
w
ater
c
o
n
s
umpti
o
n
s
tart
s
earlier, bet
w
een 17
:
00
and 18
:
00
.
What i
s
al
s
o
wo
rth n
o
ticing i
s
that
the pea
k
c
o
n
s
umpti
o
n
o
ccur
s
at a later h
o
ur
than f
o
r a t
y
pical re
s
idential building
.
That
ma
y
c
o
rre
s
p
o
nd t
o
a relativel
y
late
s
tudent’
s
bedtime,
w
hich
w
a
s
de
s
cribed b
y
Sem
s
arian
et al
.
[
11
]
in
w
hich the calculated bedtime
median
w
a
s
ar
o
und midnight
.
The difference
s
bet
w
een
wo
r
k
ing da
y
s
and da
y
s
o
ff bec
o
me even m
o
re apparent
w
hen e
x
amining the h
o
url
y
w
ater c
o
n
s
ump-
ti
o
n
o
n the da
y
w
ith the highe
s
t rec
o
rded dail
y
demand,
w
hich
o
ccurred
o
n 14
D
ecember
2022 (Wedne
s
da
y
)
.
A
lth
o
ugh the mean dail
y
c
o
n
s
umpti
o
n
o
n
wo
r
k
ing da
y
s
i
s
l
ow
er, the
average h
o
url
y
c
o
n
s
umpti
o
n
o
n the da
y
o
ff i
s
higher bet
w
een 11
:
00 and 17
:
00
.
The
o
verall
pr
o
file
o
f the highe
s
t dail
y
demand i
s
largel
y
c
o
n
s
i
s
tent
w
ith the average h
o
url
y
pr
o
file
o
b-
s
erved
o
n
wo
r
k
ing da
y
s
; h
ow
ever, at 11
:
00
and at 14
:
00, a n
o
ticeable dip
s
are pre
s
ent
.
Th
o
s
e deviati
o
n
s
are m
o
s
t li
k
el
y
o
utlier
s
, p
o
-
tentiall
y
re
s
ulting fr
o
m a temp
o
rar
y
interrupti
o
n
in
w
ater
s
uppl
y
, f
o
r e
x
ample due t
o
mainte-
nance activitie
s
.
A
dditi
o
nall
y
, the dail
y
w
ater c
o
n
s
umpti
o
n
per
s
tudent
w
a
s
e
s
timated
.
A
t pea
k
, the aver-
age re
s
ident c
o
n
s
umed 72,96 dm³/da
y
,
w
hile the mean dail
y
c
o
n
s
umpti
o
n acr
o
ss
the
o
b
s
ervati
o
n peri
o
d
w
a
s
58,63 dm³/da
y.
B
o
th value
s
are
s
ignificantl
y
l
ow
er than the
s
tandard
s
pecified in the applicable legi
s
lati
o
n
[
10
]
,
w
hich a
ss
ume
s
a dail
y
c
o
n
s
umpti
o
n
o
f
100 dm³ per re
s
ident in
s
tudent acc
o
mm
o
da-
ti
o
n
.
The rea
s
o
n
s
f
o
r thi
s
di
s
crepanc
y
remain
unclear, th
o
ugh it i
s
li
k
el
y
attributable, at lea
s
t
in part, t
o
impr
o
vement
s
in plumbing
s
y
s
tem
s
intr
o
duced during the t
wo
decade
s
s
eparating
the legal regulati
o
n and the pre
s
ent
s
tud
y
, re-
s
ulting in n
o
table reducti
o
n
s
in
w
ater u
s
age
.
With regard t
o
vari
o
u
s
d
w
elling t
y
pe
s
o
utlined in the relevant legi
s
lati
o
n, the average
dail
y
w
ater c
o
n
s
umpti
o
n per inhabitant in
building
s
c
o
nnected t
o
b
o
th the
w
ater di
s
tribu-
ti
o
n and
w
a
s
te
w
ater net
wo
r
k
s
range
s
fr
o
m 60
t
o
160 dm³/da
y.
Thi
s
variati
o
n depend
s
o
n
acce
ss
t
o
s
pecific facilitie
s
s
uch a
s
a t
o
ilet,
s
h
ow
er,
o
r heating unit
.
The value
s
calculated
in
o
ur
s
tud
y
fall
w
ithin the l
ow
er end
o
f thi
s
range, de
s
pite full acce
ss
t
o
the af
o
remen-
ti
o
ned facilitie
s
.
Thi
s
n
o
t
o
nl
y
indicate
s
a clear
di
s
tincti
o
n bet
w
een
s
tudent d
o
rmit
o
rie
s
and
t
y
pical re
s
idential d
w
elling
s
but al
s
o
p
o
ten-
44
tiall
y
reflect
s
the previ
o
u
s
l
y
menti
o
ned chang-
e
s
in plumbing efficienc
y
and
w
ater u
s
e habit
s
that have
o
ccurred
o
ver the pa
s
t t
wo
decade
s
.
D
ue t
o
the
s
imilarit
y
bet
w
een b
o
th de-
mand pattern
s
a
s
tati
s
tical te
s
t
o
f the t
wo
mean
s
w
a
s
c
o
nducted
–
average
w
ater c
o
n-
s
umpti
o
n
o
n a
wo
r
k
ing da
y
and a da
y
o
ff
.
I
t
w
a
s
a
ss
umed here that the
s
ample di
s
tributi
o
n
s
are un
k
n
ow
n; theref
o
re, t
o
increa
s
e the num-
ber
o
f element
s
in b
o
th
s
et
s
, the te
s
t
w
a
s
c
o
n-
ducted
o
n the actual rec
o
rded h
o
url
y
c
o
n-
s
umpti
o
n value
s
, c
o
mpri
s
ing a t
o
tal
o
f 383
entrie
s
f
o
r da
y
s
o
ff and 1056 entrie
s
f
o
r
wo
r
k
ing da
y
s
.
Thi
s
all
ow
ed u
s
t
o
meet the a
s
-
s
umpti
o
n
s
nece
ss
ar
y
t
o
c
o
nduct
s
uch a te
s
t
.
The numerical data u
s
ed t
o
s
ub
s
titute int
o
E
q
.
(2
.
1) and the remaining a
ss
umpti
o
n
s
required
t
o
perf
o
rm the te
s
t are included in Table 1
.
T
ab
l
e
1
.
Tw
o
mea
n
s t
e
st st
a
t
i
st
i
cs
pa
r
ame
t
e
rs
T
abe
l
a
1
.
P
a
r
ame
try t
e
st
u
i
st
o
t
no
śc
i
d
w
ó
c
h
śr
ed
-
n
i
c
h
x
x
n
ParameterValue
‒
1
7,15
‒
2
7,26
S
1
3,18
S
2
2,89
1
383
n
2
1056
α
0,05
u
α
1,96
Te
s
t h
y
p
o
the
s
e
s
w
ere a
s
f
o
ll
ow
s
:
0
H
0
:
µ
1
=
µ
2
(3
.
1)
H
0
:
µ
1
≠
µ
2
(3
.
2)
The
s
tati
s
tical te
s
t indicated that
w
ith the
ad
o
pted
s
ignificance level
o
f 0
.
05, there are
n
o
rea
s
o
n
s
t
o
reject the null h
y
p
o
the
s
i
s
H
that the average
w
ater c
o
n
s
umpti
o
n
o
n
a
wo
r
k
ing da
y
and the average
w
ater c
o
n-
s
umpti
o
n
o
n a da
y
o
ff are
s
tati
s
ticall
y
equal
.
C
on
c
l
u
s
i
on
s
A
s
a re
s
ult
o
f the re
s
earch,
w
ater c
o
n-
s
umpti
o
n pattern
s
w
ere devel
o
ped f
o
r a
s
tu-
dent d
o
rmit
o
r
y
in Wr
o
cła
w.
Their nature
w
a
s
defined and de
s
cribed, particularl
y
the differ-
ence
s
and
s
imilaritie
s
bet
w
een a
wo
r
k
ing da
y
and a da
y
o
ff
.
Than
k
s
t
o
the c
o
nducted
s
tati
s
-
tical te
s
t, it
w
a
s
pr
o
ved that at the ad
o
pted
level
o
f
s
ignificance, de
s
pite vi
s
ible differenc-
e
s
in
w
ater c
o
n
s
umpti
o
n and
s
light difference
s
in the
s
i
z
e
o
f
w
ater c
o
n
s
umpti
o
n, the average
h
o
url
y
w
ater c
o
n
s
umpti
o
n
o
n a
wo
r
k
ing da
y
and a da
y
o
ff are
s
tati
s
ticall
y
equal
.
The re
s
ult
s
s
h
ow
that alth
o
ugh a
s
tudent
d
o
rmit
o
r
y
i
s
a re
s
idential building, it differ
s
fr
o
m t
y
pical re
s
idential building
s
.
The devel-
o
ped
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ater di
s
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o
n pattern
s
ma
y
pr
o
ve
helpful primaril
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t
o
indu
s
tr
y
repre
s
entative
s
–
de
s
igner
s
and
s
peciali
s
t
s
inv
o
lved in main-
taining the
w
ater
s
uppl
y
net
wo
r
k.
Th
o
s
e pat-
tern
s
can be u
s
ed in the de
s
ign
o
f
s
tudent
h
o
u
s
e
s
, planned
s
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ow
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s
o
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ater
s
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o
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n
w
ith
o
perati
o
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al
wo
r
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n
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