PB82-256876
Energy Model of a Cadmium Stream with
Correlation of Embodied Energy and Toxicity
Florida Univ.
Gainesville
Prepared for
Environmental Research Lab.
Athens, GA
Apr 82
%
U.S. DEPARTMENT OF COMMERCE
National Technical Information Service
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KPA 60u/3-82-048
April, 1902
6876
ENERGY MODEL OF A CADMIUM STREAM WITH CORRELATION
OF EMBODIED ENERGY AND TOXICITY
by
Robert L. Knight
Systems Ecology-Energy Analysis Program
Department of Environmental Engineering Sciences
and
Center for Wetlands
University of Florida
Gainesville, Florida 32801
Principal Investigator: Howard T, Odum
Grant,No, R-806080
Project Officer
Lawrence A. Burns
Environmental Systems Branch
Environmental Research Laboratory
Athens, Georgia 30613
ENVIRONMENTAL RESEARCH LABORATORY
OFFICE OF RESEARCH AND DEVELOPMENT
U.S. ENVIRONMENTAL PROTECTION AGENCY
ATHENS """"
iWlOBIRFB M
NAT
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US. OfPftBFWlM? Of CQMWIRCf
mimfim, v*. jkisi
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TECHNICAL REPORT DATA
(Htrng n*ftK*imemmt a* the rtstnt befiKv mmpkriaff
I.s|PO«TSOi Ta. S3, RECIPIENT'S ACCCSSiOf# NO,
EPft-fiOO/3-fi?~048 0R0 Resort 1 ?332 2 5 66/ fc
i.-trtii asiosubtitle
Energy Model of a Cadmium Stress with Correlation of
Embodied Energy and Toxicity
S. REPORT DATE.
Aprll 1982
« PiFWtWMtNQ ORGANIZATION CODE
y, AUTMOniSI Is. PeflPQRMINO CMQAUHZATION RiTOBT NO.
Robert L. Knight |
S, ?e»rOWMIf4B ORWNIiATION NAME AND ACORSSS
Department of Environmental Engineering Sciences
University of Florida
Gainesville FL 32601
TTTcWmcT/GiTO- m6.
R-806080
12. «»0NtOBlWB AOtNCV AND ADOBSSS
Environmental Research Laboratory—Athens GA
Office of Research and Development
U.S. Environmental Protection Agency
Athens GA 30613
14, SPOWSORINO A06NCY CQOI
EPA/600/01
is. surri.riW£NTAH* Nates
M, AiiflACT
In surviving systems that have evolved designs for maximizing power, a&tntv
amplify and control may be in proportion to embodied energy. The evaluation of control
effect and energy required in equivalent embodied energy units allows the direct cor-
relation of these two properties of a controller such as a toxic chemical. The heavy
metal cadmium (Cd) was used to analyze this, toxin control hypothesis. ft literature
review indicated a stimulatory (Arndt-Schulz) effect of Cd at low concentrations in
many growth studies. Host data sets were found to be described by a general subsidy-
stress curve. The bioconcentration of Cd as a mechanism in natural systems for con-
trolling free Cd concentration and its toxic effect is discussed. Information
ed during previous research on Cd effect in experimental streams was summarized and
used to calibrate an energy and material model of the Cd streams. Several mechanisms
of Cd toxicity were examined and the model includes a simulation of system components
at low Cd levels. The results of this study with Cd are predicted to be general ts
most other toxic substances and may allow synthesis of the burgeoning quantity of
information concerning cineiincass in the environment.
17, KB ¥ *C«D5 AMD DOCUMENT ANALV5IS
a. oescwTopis
ktOENTlflfRS/OrCN 6W60T1HMS (c. COSATi f-wM/GloUfi
18, DISTRIBUTION | A'I EMENT
RELEASE TO PUBLIC
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?o securitv class irmiMfei
UNCLASSIFIED
S3, pSiiCE 1
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EPA Form 2220=1 !»-73}
f
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NOTICE
Mention of trade names or commercial products does not
constitute endorsement or recommendation for use.
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FC
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Cs:ent'al to the Mi icr <1 nf t c >->ys+'. « n in understanding
ot the we*, ^Ii • < • "ntrc" tnvvwa'rtitr.l sy-h^n' in im*, "epn,~f\ the
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ion Qnt **')>' iirws hvu orv ire<>t; i"r ''Jijn tf'ft)1- twi s'ne>-3v f!cnvs K
tjX3T,ine«i using t?u het-v rnctd! rejrKu, sJr>»«vi >• ^sdei of ere"]y and ;>iateria1
flow* nt sh-'i.wf, w: + h uc »;ihu. w> >-n Sum whorit }1 ens*«i* <>' ynis todc
n^nai is . ,trrel,u?d with . r>e tiWhi'-.' -»vr-j> ->f pr K<,r jtW ^croiWc o.na
vHh atupl it ic-t !«iii on prim>y io-ivuci i-.vi Ki ih AdoU" onal f^'Mopment
the tcesyst^i cantixu f;vor. >:ou le r.% v ? ae a "iijhtif aiive. swduf, nt .noluating
covin nj» and um;im cot»t^A!>"na lyr-its is cfv lentil •n«nagfjfen;.
Or, id *J. Duttweiler
tnvnvrmcnt^ Rr*-.-. >xh laboratory
Athnn •.-or.?n
iii
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ABSTRACT
In surviving systems that have evolved designs for maximizing power
ability to amplify and control may be in proportion to embodied energy. The
evaluation of control effect and energy required in equivalent embodied
energy units allows the direct correlation of these two properties of a
controller such as a toxic chemical.
The heavy metal, cadmium (Cd), was used to analyze this toxin control
hypothesis. A literature review indicated a stimulatory (Arndt-Schul2)
effect of Cd at low concentrations In many growth studies. Host data sets
were found to be described by a general subsidy-stress curve. The bi©concen-
tration of Cd as a mechanism in natural systems for controlling free Cd con-
centration and its toxic effect is discussed.
The energy embodied in Cd storages by three different systems was evalu-
ated. Calculations suggest that the world geological cycle is producing
economically recoverable Cd at a very slow pace, only 53 kg*yr""'. The
energy transformation ratio of this Cd is 2.5 x 1016 Solar Equivalent
Calories (5.E. Calhg Cd-1. The industrial concentration of Cd adds an
additional 4,6 x 10' S.E. Cal *g Cd"* in the synthesis of the pure
metal. A calculation of the biological concentration in experimental stream
systems indicated a cost of 1.3 x 1Q9 S.t. Cal -g Cd*"1 at a concentra-
tion of only 0,8 pp® on a live-weight basis.
Information collected during previous research of Cd effect in experi-
mental streams (Giesy at el. 1979) was summarized and used to calibrate an
energy and material model of the Cd streams. Several mechanisms of Cd toxic-
ity were examined and the model includes a stimulation of system components
at low Cd levels. Simulation results allowed a detailed correlation of the
relationship between embodied energy in Cd and the Cd effect in equal units
(S.E. Cal-g Cd~l). This correlation was found to be first positive,
then negative, and eventually approached zero at higher Cd concentrations.
The results of this study with Cd are predicted to be general to most other
toxic substances and may allow synthesis of the burgeoning quantity of infor-
mation concerning chemicals in the environment.
This Report was submitted in fulfillment of Grant No. R806080 by the
University of Florida under the sponsorship of the U.S. Environmental
Protection Agency. The report covers the period September 1978 to March
1981, and work was completed as of March 1981.
iv
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CONTENTS
FOREWORD 11i
ABSTRACT iv
FIGURES[[[ vl
TABLES[[[xi
SECTION 1 INTRODUCTION.. 1
SECTION 2 CONCLUSIONS[[[2
SECTION 3 RECOMMENDATIONS 3
SECHON 4 BACKGROUND ANO CONCEPTS.... 4
Introduction. 4
Maximum Power Theory. 4
embodied Energy 7
Toxicity Effect 15
SECTION 8 METHODS[[[39
Cadmium Streams 39
Stream Model 43
Energy tel ationshi ps 43
SECTION 6 RESULTS 46
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FIGURES
Number
4.1 Model of autocatalysis. The feedback interaction
between a storage (S) and an energy source (E}
develops rapid growth as long as source can
supply increased flow
4.2 Model of geological production process for Cd-rich
sulfide ores. Flow B is assumed to be more
important than Flow A, and Flow C 1s assumed to
have zero embodied energy as discussed in the
text. Calculations indicate that Flow 0, the
rate of production of recoverable, Cd-rich ore
may contain only 53 kg Cd*yr"l for the
entire earth
4.3 Model of Zn and Cd production by the electrolytic
process with actual energy and dollar flows
evaluated. Cadmium production is entirely a
by-product recovery of Zn purification 11
4.4 Aggregated model of In and Cd production with flows
evaluated in terms of S.E. Cal
• • • •
4.5 Evaluation of Cd embodied energy in biological sys-
tems. (a) Model of Cd and energy inputs to con-
centration process; (b) Idealized uptake curve
for Cd in biomass with uptake time used to eval-
uate embodied energy
4.6 Effect of Cd on net growth of six mlcroogranisms In
batch culture {from Doyle at al. 1975) 18
4.7 Effect of Cd on oxygen evolution by the blue-green
alga Anac^stis
Katagiri 1975),
alga Anac.ystls nidulans In batch culture (from
I I I I > I • * t 4 t • <
Effect of Cd on call numbers of the green alga
Scenedesinus guadricauda in batch culture (from
K1 ciss fit 2l® 1974y##»»i«••»»**»*•*•»**••»•**«•««•••••••¦*¦•••*20
VI
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If
Figures, continued.
Number Page
4.3 Effect of Cd on net growth o1
Chlamvdomonas reinhardii * (from
Knelp s «i I-' 4' ,,21
4.10 Efx" ~c' ~ --.pi ration of tubif icid worms In
ifrom Brkovic-Popovic and
fipow ............................................. 23
4.11 Effect of Cd on of; nreduction and survival of
fathead frinrtws ir flow-through culture (from
Pickering and Gar c t • U,. 24
4.12 Effect of Cd on trout in flow-through systems
(from Be no it et al. 1976) 25
4.13 Genera, curves uutn-j * c rr.rnu . to toxin
effect, (a) acceliT.it »iq <-»• fo ft,' e-i'onential
¦51 fee"; and vc) uerarjl curve *:<",n optiiwin concen-
Lt A ion. . .. 25
4.14 Model of h" icity as d drain on ->unnaoS. .<0 nutlet;
(b) reprcs^rf .»M ve output for values of K3 28
4,18 Model o* toxin effort on dr. r-'WiiiTi -nciu hi!'* 1
stimulatory *um;t J , '!*' . eprtjori^an ve output
for U«, U> inly ifv . 29
4.16 Model if roui ity effea ot recycle 'jKvtrtg stimula-
tion ^ruCu^-io" •*»> !'. cause Of ^u-^dF (Q) decay
and tro '¦;> s t*c>v le. (a) < repre-
sent et t v nut ........................................... ,30
4.17 Uptake of Cd by five microorganisms in static culture
(from Doyle et al. 13
4.18 Uptake of
in sta >} 33
pH values
>)
•.d ms
^a.ias
' ough ,v-,i
l from
4.19 Uptake by
RuaMn'eilil? in • i
Cearlej r*>l 'man ..................................34
4.20 Uptake of Cd by two aquatic invertebrates in batch
cultures {from Spehar et al. 1978) 35
4.21 Model of Cd adsorption in periphyton. Growth of
biomass (B) is dependent on sunlight (S) and
vi i
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Figures, continued.
Number Page
nutrients (N), Cadmium is adsorbed by surface
area (A) resulting 1n Cd-saturated surface area
(AC), (a) model; (b) effect of increasing surface
area/Cd ratio; (c) effect of increased cell radius.. 37
4.22 Toxicity curve (a) and corresponding energy effect-
energy quality correlation curve (b). Region 1
represents a positive amplifier action and region
2 indicates a negative action 38
5,1 Aggregated model of a production process with two energy
inputs (A and B), gross production (C) of a stored
product (Q) with feedback maintenance (0) and main-
tenance energy loss from the system {E) 44
6.1 Live algal biomass during the 22-mo Cd-stream study, - -
Values are stream averages extrapolated from glass
slide and wall data for control, 5 ppb Cd, and 10
ppb Cd . 47
6.2 Detrital and microbial biomass during the 22-mo Cd-
stream study. Values are extrapolated from glass
slides, wall, and core samples for control, 5 ppb
Cd, and 10 ppb Cd 49
6.3 Biomass of macroinvertebrates during the Cd-stream
study. Data are extrapolated from plate samples
for control, 5 ppb Cd, and 10 ppb Cd 50
6.4 Summary of system-level data during the Cd-stream
study for control, 5 ppb Cd, and 10 ppb Cd treat-
ments. (a) gross production; (b) coraiunity
respiration; and (c) coronunity export . 51
6.8 Summary graph of system-level parameters measured
in artificial streams receiving continuous Cd
inputs. Points represent 1-yr averages for two
replicate streams at each treatment 52
6.6 Overall system model of Cd streams. Sunlight inter-
acts with dissolved chemicals to maintain compli-
cated biological systems and Cd cycling. Each
unit has stimulative and toxic action of Cd (see
details in Figs, 6.7-6.10) .....54
6.7 Detail of Cd-stream model showing interactions of the
algal component of the periphyton. Points of interest
viii
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Figures, continued.
Number Page
Include stimulatory effect of Cil on primary production
(Ls) and photorespiratfon 55
6.8 Detail of tte Cd«;*roam m^rlel showing Interaction of
macrophyi'ir plant ccmuaftf. As with the «%\es
a stirul.*tory effect af Cd is Included (L^). 56
6.9 Detail of the Cd-sf man model showing the aggregated
consumer Interactions. Cadmium 1s taken up through
both surface adsorption and feeding.,,,,..,.,..,,,.,,.,....,..5?
6.10 Detail of Cd-streara mode! showing configuration r»f
detntal-microbial segment of peritmytori. Cadmium
toxicity is expressed as a negative interaction
with nutrient regeneration. 59
6.11 Input-output diagram for four Hiologlral storages in
Cd stream model, Data front Saptewbev ID/6 were used
to approximate steady state flow for parameter estimation 65
6.12 Stream model simulation results for algal and detrital-
microbicil blomasses at control Cd concentration of
0.023 pg Cd-L-1 66
6.13 Stream model simulation result" *or gross production,
conswnity respiration, and export at control Cd
concentration of 0,023 pg C-'-L"* .68
6.14 Stream mods 1 ation results for macroinvertebrate
and microphyte biamasses at control Cd concentration
of 0.022 -l"1 69
6.15 Stream node! simulation results for algal and detrital-
microbial bi crosses .it 5 and 10 ppb Cd input levels 70
6.16 Strean model simulation results for macroirvertebrate and
marroohvte Morasses at 5 ard 10 ppo Cd input levels 71
6.17 Stream nods! iimulftion results for gro^s production,
conwurity t">spi* and export if 5 and '(0 opb Cd
input I•_*veI 72
6.18 Overview of Cd fate in artificial streams from model output,..,,,74
6.13 Average gross prnduuivity, respiration, and export values
during 1 yr of continuous Cd input predicted by stream
model for Cd cor
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Figures, continued.
Number Page
6,20 Predicted correlation between Cd transformation ratio
and Cd energy effect ratio for system-level parameters
and storages 79
A.l Diurnal oxygen change curves from June 30, 1976,
for six experimental streams receiving Cd inputs .....87
A,2 Diurnal oxygen change curves froti July 28, 1976,
for six experimental streams receiving Cd inputs., 88
A.3 Diurnal oxygen change curves from September 23, 1976,
for six experimental streams receiving Cd inputs 89
A.4 Diurnal oxygen change curves from October 20, 1976,
for six experimental streams receiving Cd inputs 90
A.5 Diurnal oxygen change curves from November 24, 1976,
for six experimental streams receiving Cd inputs 91
A.o Diurnal oxygen change curves from February 9, 1977,
for six experimental streams receiving Cd inputs 92
A.7 Diurnal oxygen change curves from March 16-17, 1977,
for six experimental streams receiving Cd inputs 93
A.8 Diurnal oxygen change curves from April 29, 1977,
for six experimental streams previously receiving
Cd inputs .94
A.9 Diurnal oxygen change curves from May 31-June 1, 1977,
for six experimental streams previously receiving
Cd inputs.... . 95
A.10 Diurnal oxygen change curves from July 6, 1977, for
six experimental streams previously receiving Cd
inputs 96
x
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It
TABLES
flows In the industrial
Zn and Cd Zn ore resulting
ir ' !'s i' oure Cd as illirt eel in Figs, 4.3-4.4 12
in Cd
nc»"v m «< ids for major stora<
i. «i 11!--1 '"OiU-t roiel. Energy values
iir-nVfct< --'mn J>% i>'i\ hi vj]t if£T|0 tlv '
,»?] = 1 s >1. VI V^ec.h'. ot ~i
.trpiiiis • e: r C. I-n*" ,
* «*> h i <" .s r.-"
ta used are from control
iream simulation (0.023
Compi ii
in Fig. 4.14
Illustrated in Fig. 4.15
Computer model in BASIC used to simulate minimodel
illustrated in Fig. 4.16
Coijotincr model in BASIC used to simulate
model Is illustrated in
List of -ns and equations
for C d in Figs, 6.6-5.10 107
list of initial conditions an* coa-1 -**»^i*;s
used in simulation of Cd-
i i
xi
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SECTION 1
INTRODUCTION
The study of rnechanisms control ling environmental systems is essential
for understandfng ecosystems and for their rational management. Toxic sub-
stances may control ecosystems and cause new ecosystems to emerge that can
directly util i?e the subsnnces to aid their competitive roles. Substances
may directly aid positive physiological mechanisms, stress a system that is
not adapted, or subsidize an adapted system. The aim of the present study Is
to develop a theoretical and quantitative means to evaluate, compare, and
utilize controller's In environmental management and to illustrate the
approach with one substance-—the heavy metal cadmium fCfl).
By "controller," we mean an agent, a chemical substance or biological
component, that has the ability to divert, enhance, or stop energy flows that
are greater than its own energy flow. ft chemical substance may control bio-
logical controllers. Small quantities of Cd are toxic to individual organ-
isms arid have sharp effects on biological sy;terns.
A theory proposed by Odum (1379) and the author is that control action
or "amplification" ability may be a function of the energy embodied in the
controlling agent. Embodied energy is defined as the total energy flow of a
system necessary to form the agent through convergence of webs or concen-
trating factors. In systems selected for maximum energy flow, controlling
agents may be used to manipulate productive processes through positive
amplification. The theory suggests that controllers will have an energy con-
sumption from the system th
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SECTION 2
CONCLUSIONS
Cadmium consistently stimulates growth parameters of biological
systems at concentrations slightly above ambient levels. This stimulatory
role of Cd may be useful in maximizing the productivity of human-perturbed
ecosystems- Cadmium-adapted systems may be useful in the recovery of Cd
wastes by bioconcentration.
At higher concentrations, Cd is extremely toxic to biological systems,
A continuous input of only 5 ppb Cd lowered average gross production and
respiration by 40% in soft-water stream systems over a 1-yr period. Thus,
intermediate levels of Cd may be useful as a toxic control of biological
systems.
Cadmium is an easily depleted resource because of its extremely low
rtdLura! production rates. The embodied energy of Cd storages is high,
making the conservation and recovery of Cd important for long-term survival
of human systems.
An energy analysis of the data from a calibrated Cd-stream model
indicated a positive-negative correlation between the energy cost of Cd arid
its energy effect. The model data indicated a possible equivalence between
the stimulatory and toxic actions of Cd and its energy cost of concentration
at naturally occurring concentrations.
2
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SECTION 3
RECOMMENDATIONS
:ai sub-
: i under-
stand! ng of which wastes are important.
tion of
rf-TtxT- ,+ 1^, kw \<1 •. , lov {i^ rs vol1 . hjx 'c Uvels. More
cals on eco-
the best
means to study hierarchical effects of chemicals.
i should be
rout "»»<»iy ni .< >n[ J* in tu >> >_ -era* « 1(mr»~.i ioiv stirring,
heating, etc,}; materials (nutrients, gases, inocula, etc.); structure
af toxins
shon!u bf worntore'j ui J *tpc« It • ;n u^hh ;tu i"o.
Scuil tv of a!1 icKvity :h."KiM t* urt,em len under .ne general
system such as the energy quality-energy effect curves presented in this
temrz,
3
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SECTION 4
BACKGROUND AND CONCEPTS
INTRODUCTION
The controlling action of toxic substances seems to be as variable a
subject as the number of toxic chemicals and affected organisms that exists.
In order to discuss those principles that are general to toxicity,, we mist
first consider those principles that are general to all real sysfers, The
ways a toxic chemical may participate in an ecosystem are examine with
models and the simulations are compared with data on Cd toxicity
MAXIMUM POWER THEORY
The designs of systems and their ways of processing toxins are related
to energy. Lotka (1922) proposed a principle of thermodynamics for open
systems which states that selection in the struggle for existfr.. is Ivited on
maximum energy flow (power). Later, Odum and Pinkerton (1955) and Odun
(1988, 1971, 1979) suggested ways control actions generate more power and
thus tend to persist In real, competing systems.
Power has been defined as the rate of useful energy trarisfcH nation, The
concept of useful power is important in the maximum power theory. Useful
power is a measure of the energy flows and transformations that msuU in
structures or processes feeding back to help maintain themselves or to
increase their power. Thus, useful power differs from dissipation of energy
that is not part of a self-maintaining system. The conceptual idea of maxi-
mum power is illustrated by an autocatalytic unit (Fig. 4,1). *n tblr simple
model, a nonlinear interaction acts to accelerate energy flow to the maximum
sustainable level. The generality of autocatalysis (I.e., chemical reaction
theory, Ma I thus i an growth in biology, growth of physical systerrs such
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SUPPORTING
SYSTEM
PROVIDING
ENERGY
SOURCE
•k2s
Figure 4,1, Model of aot-xaUl^sis. The feecfback, Inter-
act ion between a storage (J) und an energy
source (E} develops rapid growth -as long as
source cau vupply inccisei flow, feedbacks
include t-hose to maxims,-:e the system directly
(F't) and those to maximize the larcer system
(Fgh
5
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The power of a system may be limited by the quantity of usable energy,
temporal pattern of energy inputs, and by the constraints of energy transfor-
mation. These limits to the growth of power of a system are not reached
irmediately, but are approached in time after succession and evolution.
Few environmental systems have just one energy source; most have several
types of energy inputs. If untapped energy sources exist, some of the exist-
ing energy flow is routed to help use new sources through exchange or pump-
ing. The system that effectively increases its power by using additional
energies has a competitive advantage over other systems. Energy may be used
to meet all contingencies.
Given a finite available energy source, a system is further limited in
its power 1evel by the energy required for each transformation. This
observed energy for transformation is described by the second law of
thermodynamics as a necessary decrease of available work energy in most
energy-transforming processes. In other words, much energy is converted to a
lower quality state when a transformation to another type occurs. This phen-
omenon has been quantified in various branches of science and was summarized
by Oduni and Pinkerton (1955). Their review of physical and biological sys-
tems concluded that maximum power level is possible only at lower-than-
maximum efficiency for competing systems and may be at 502 transformation
efficiency for a single storing process. The necessary loss to unusable heat
limits the total number of tranformations possible for any energy entering a
system and results in a predictable spectrum of energy transformers in all
adapted systems (Odum 1979).
fill systems are but subsystems within larger competing systems and thus
are exposed to control by the next system's behavior. Therefore, biological
systems such as mature forests or ancient lakes may be greatly simplified by
volcanic eruptions or human toxic wastes, resulting in a decreased local
power level but an Increased power at the next larger scale. Circumstantial
evidence is available to show that many systems are on a successional and
evolutionary course towards the maximum power level within the boundaries of
their exogenous controls.
Biological food chains represent concentrations of energy, with each
level requiring energy diverted from the machinery of primary production.
This diverted energy must be compensated for by energies fed back from stor-
ages to capture greater free energy for the system. Thus, a control hypoth-
esis follows directly from the maximum power theory. In adapted systems,
components must have controlling actions that are equal to their energy of
transformation.
Since powerful poisons may be powerful controllers of ecosystems, knowl-
edge of stimulative and toxic roles of poisons may be used to enhance produc-
tivity and manage systems. More control may be achieved by using toxins to
control consumer organisms that, in turn, have controlling roles. If a toxin
occurs at low concentration, biological energies may be used to concentrate
it to a stimulatory level; or, if the natural concentration of a toxin is
high, biological energy may be used to detoxify the substance by reducing its
effective concentration in the environment.
6
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EMBODIED ENERGY
- OM us d 1 it ft' * ori sm* he cor*t uk'SVc' dK "low
>]ua1 'tj-' fr that r, «: i,i;c ;,ip ;')> of n-.rK>'/ -*n w k in fV *S'SHm
Or? the" *ilIit-i- h n-wi r-Jter thx. t r^nsi imcd energy as
hei nq of M.jfier q>»a1 tU than h)tn Oi i.jniM T«r.it en-rsjy to the transform-
atiors process and the dispersed low-quality energy that was a necessary
hv-unuc+ or f ^ ~•!•=(' m'owi 'tio'i. \, 1 Kd'k ¦ ;mv«'nt'U'iv m can assu'M
irj'c the ¦ itei «i, , >}/ o,i5 :t*pe ~ \p v-i It1 . tke artc-ttf r ' »pr ;*> mb^ted
ir> the e>seray o* t h»- mcuhd I p«
if v.e «ii*e id" !h.^ ,r rjv >i' {vpr pececj1 \ in 'nK,;i1T innfic by the
energy ot tho tw ut (' f^ur, hu h n-e the r n of venc-*y t > w\irr»it ion,"
This, dimensicf less ouraft..'1"" - he; beer c? i 1,'d . K Vr^qy quality i,5V it a5"tinea to have
some -hJOixtK^l11 .;nmr" 1im rr>t.c is. W.tsn transfxisnation
ictios i or vji *fu'\ i'i os c »;c' ,Mt 1 > eiki'tv • t om" 'yue. S«i ,
Ci»l or Cm! Cqtdvilyrii "Vivw;'.. > we h'nc a pas ar--,i cr tc ..orjwc qua11 ty of
3ll types nf tw"iy n»
*n on'or to rvaKvt the ttcrps'."rv to produce an energy
fsw after "pvf i."] i r, u «t s f n if i in , »«£ ms < i in ¦;>( it .v ' ^at t!ic w.no ntCPS*
Srtry to DrrjJt'c? tnt- -nlcnriv 'ids'.c ;i >;c« ^ iu bi' ,m tirim t ;un of the
final y*!>di;cf. 1 hfis, if & f0D»-ch)mi i>i1yunj t>n r input
sourre, the unbodied srtprrv* for al1 pnerry t1ft« .in.1 * i nra^^s wo JIH "»>c ihmIh-
atccl ;i> toni'N if tH Mn>jiV i rif ori • 9 n>i^roy i ^ 3;>.
If a pt("nrlion proc^^^ ha;. riir. i'.pc inpt^, rhpn the
etiibcJseJ ene.~f!(b< C<~ a I' u-piit*, mils-1 sutr-?<1 fu -lu.itf the (iiar-w tiual it>
of the result!mo products, i-i v<-terns, iume a, thf .'UMil"arv ener "ts
at tsie pr«)i,p " ' fp-d bsck t!v nndncK and theivfo^ must not &e adoe.)
to csvoid d'Jiioi0 1 'I'l, F>,orplei u-f tniti 0 < im"sfo»*R^tioii rai-ivt calcula
11 <.»»( - for- «*? tire in'.hi.t.i' hi .low, c, fcr a ;^ft* tT-'.ir^ion c* tnis
concept, see C n is'-^nc*3 «."!th lit - of at "*ms
follawwi by r-inrenf ^(4tr* ?tij n |«e hi h 1 ^ r:i .;n ne t yv 1 ^ i>r
concent rat 1 oft n * (^>1 s f ^ "Vui ud i-i iti, 'f a* 1 nr ot
metabolism. Calculated values of embodied energy are based on global aver-
ages or sp-tittr it |>rnctjt,11 n ;.his are
:omi»driions of ~ttetrl cuM: to Cd concent>vt' n m diftc-rent systers anil the
rslati»n5hip of thesp cosks to the feedback effect.
7
-------
Earth Production—
The concentration of Cd in the solar system on a weight to weight
basis is roughly 3 ppb {calculated from elemental abundances given by Abell
[1964]) as compared to an average value of 110 ppb in the earth's crust
(Vlasov 1966). Thus the crustal Cd has embodied energy from the earth's
formation process. Since this energy is the result of concentration in the.
next larger system (i.e., the solar system), the crustal Cd embodied energy
Is assumed to be equal to zero in order to set a baseline for the calculation
of energy embodied by the earth's production process of Cd ore.
Figure 4.2 illustrates the energies used to estimate the Cd concentra-
tion in the earth process. Cadmium ores are very rare in nature so the much
more abundant Cd-bearing zinc (Zn) ores are considered. Although Cd concen-
trations as high as 8000 ppm are found in scire Zn ores (Wedepohl 1970), the
world average for minable ores is 4% Zn (Cannarota 1978), and with an average
Zn:Cd ratio of 200 in sedimentary ores {Lucas 1979), this is equal to 200 ppm
Cd. Solar energy or sol ar-produced hydro logic energy (Flow 6) was used as
the major input to this concentration process, although traditional view
regards residual deep heat (Flow A) as a separate Input to ore production
processes.
As mentioned above, the earth's average crustal concentration of Zn and
Cd was taken as zero-embodied energy because these elements cannot be used in
work processes at such low densities. Therefore, Flow C in Fig. 4.2 is equal
to zero.
Flow B is the rate of energy absorption, from the sun by the entire earth
system, and was taken as 13.4 x 10^0 cal*yr~l (Sellars 1985).
Flow D is the production rate of 'In and Cd ore in the world system. Of
interest is the production of recoverable ore that may be mined and has
enough purity to warrant extraction. Estimates for the world resources of Zn
and Cd are 1.8 x 1Q9 tonnes {t) and 9 x 106 t? respectively (Bureau of
Mines 1980). Since this ore is largely contained in sedimentary-derived
deposits (Lucas 1979) and an approximate turnover time is known for the world
sedimentary cycle (1.7 x 10® yr; from Judson 1988), we can calculate the
formation rate of new ores if we assume a steady state of production:
Production rate of recoverable 2n in ore =
(1.8 x 1(F t Zn)/(1.7 x 10° yr) * 10.6 t Zn*yr~l
Production rate of recoverable Cd In ore =
. (9 x 10& t Cd)/{1.7 X 10s yr) = 53 kg Cd-yr"1
Thus, Flow 0 in F1g. 4,2 is 285 t of recoverable Zn ore per year for the
whole world, or 10.6 t Zn and 53 kg Cd in ore produced each year. At a world
mining rate of about 5.4 x 10® t In and 17 x 103 t Cd in 1978, the
depletable nature of these resources is obvious.
The transformation ratios (TR) for Zn and Cd in ore may now be calcu-
lated if we assume that the production of ore 1s a by-product of the whole
earth sedimentary system driven by solar energy;
TRZn ore 3 (13*4 * 1Q20 S.E. Cal•yr"1)/(265 t Zn ore-yr"1)
* 5.1 x 1Q18 S.E. Cal*t Zn ore"1
TRZn in ore 3 (13.4 x lflf S.E. CaVyr"1 )/(10,600 kg Zn-yr"1)
= 12.6 x 1016 S.E. Cal"kg Zn~i in ore
8
-------
SOLAR
ENERGY
CRUSTAL
CADMIUM
GEOLOGICAL
DEEP
HEAT
PRODUCTION
RECOVERABLE
Cd-RiCH ORE
DEGRADED ENERGY
Figure 4.2. Model of geological prauction process for Cd-rich sulfide
ores, flow B is to te more important thar> Flow A,
and Flow C is to havn zero -nbedied enerqy as
>h-,citb'.-ed In Uv ! »vt Ca leu I at ions ml irate that Flow D,
the rat e of production of recover ab I *?, Cd-'-ich ore may
contain only 53 kg Cd-yr-* for the entire earth.
9
-------
TRCd in ore * (13.4 x lfQ S.E. Cal-yr-l)/(53 kg Cd-yr'l)
- 2.5 x 10W S.E. Cal-kg Cd~l in ore
Industrial Concentration—
Cadmium metal is produced cornnercially from by-products of Zn produc-
tion; therefore, in order to evaluate the embodied energy for Zn and the
resulting flue dust with Cd content, it is necessary to evaluate the Cd case.
Figure 4.3 presents a simplified model of this process showing the evaluated
actual energy and material flows. Table 4.1 lists the flows and their equiv-
alent values in embodied energy of solar equivalent kiloca lories. Figure 4.4
presents an aggregated model of this purification process with embodied
energy flows of one type. These calculations indicate that the human costs
of extracting and purifying these metals greatly underevaluate their overall
embodied energy in the world system. Using the input flows alone and the
percent recovery of each metal, we calculate the transformation ratios
as:
TRpure Zn ~ 1,6 x S.E. Cal*kg pure Zn"}
Impure Cd = *.2 x 10^ S.E. Ca1 * kg pure Cd"1
Although the industrial embodied energy inputs in the Cd purification
process are much smaller than the environmental energies, they represent the
minimum amolification ability that the Cd must have in the human system,
ihus, metals such as these may be used very inefficiently compared to their
actual embodied energy because of their cheapness of extraction from world
storages. If we evaluate the embodied energy in pure Cd only from the indus-
trial energy inputs, we calculate 4.6 x 10iJ S.E. Cal-kg pure Cd"1.
Biological Concentration—
As discussed earlier in this section, most biological components have
the abi1ity to concentrate Cd to elevated levels over water concentrations.
This concentration represents an embodiment of solar energy into upgraded Cd
storage. Several calculations of biological Cd processing are made in this
section.
Figure 4.5a illustrates the inputs evaluated in these calculations.
Primary energy inputs are the embodied energy in the dissolved Cd and solar
energy being processed by the biological system. Cadmium uptake is general-
ized in Fig. 4.5b as a simple charge-up model. The inputs of solar, water
potential, structural, and Cd embodied energies are integrated over the time
indicated on the graph.
Data for the entire biological communities of the Cd streams of Giesy et
a1, (1979) were used for analysis. Using the figure of 50 days for satura-
tion of the periphyton Cd levels and embodied energy flows for solar, water,
and structure reported in the results section of this report, we calculate
1.5 x 10° S.E. Cal-m"2 of stream to attain equilibrium Cd concentra-
tions in the biological components.
For the control channels this energy input resulted in 1256 yg Cd-m"2
stored in the biological community. If we follow the convention of not
including the energy embodied^in the Cd by the next larger system, we calcu-
late 1.3 x 10^ S.E. Cal*g Cd-i at a concentration of 0.8 ppm on a
live-weight basis.
10
-------
GOODS
AND
SERViCi
8206 Kg ORE
V $ 6.87
PR
FUELS
CADMIUM
PRODUCTION
<•»
* OTHER
BY PRODUCTS
Figure 4.3. Model of Zri and Cd production by the electrolytic process
with actual energy and dollar flows evaluated, Cat re-
duction is entirely a by-product recovery of Zn purifica-
tion.
11
-------
TABLE 4.1. ACTUAL AND EMBODIED ENERGY FLOWS !M THE INDUSTRIAL PURIFICATION OF
ZN AND CD FROM ZN ORE RESULTING W 1 KG Of PURE CD AS ILLUSTRATED
IN FIGS. 4.3-4.4
Type
Actual Energy .
Energy
Transformation Ratio
Embodied Energy
Zn ore
8206 kg Zn ore3
5.1 x 10-15 s.e. Cal/kgb
4.19 x WW S.E. Cal
Fuels
5.31 x 1G6 Elec. Calc
8000 S.E. Cal/Elec. Cald
4.25 x 1010 S.E. Cal
Goods and
services
$95.48®
37 x 105 S.E. Cal/$f
3.53 x 109 S.E, Cal
fuels
2597 Elec. Cal9
8000 S.E. Cal/Elec. Cal
2.08 x 107 S.E. Cal
Goods and
services
$ 6.87h
3? x 106 S.E. Cal/$
2,54 x 108 S.E. Cal
Purified Zn
259 kg1
1.62 x 1017 S.E. Cal/kg
4.19 x 1G» S.E. Cal
Purified Cd
1 N
4.IS x 1019 S.E. Cal/kg
4.19 x 1019 S.E, Cal
aFrom Patrick et al. (1979), 492 kg In concentrate with 60S In; 90% recovery from ore with 4%
Zn content.
bfrom this report, page 8,
cBattelle Columbus Laboratories (BCL) {1978) total energy costs in Zn production converted to
electrical Btu,
%ro» Oduffi and Odutn (1980).
eFrom BCL (1975), 136.34 materials and reagents; from Cammarota (1978), $36,34 labor and $22,80
capital assuming ZO-yr life for plant.
fOdum et al. {1980).
SPetrick et al. (1979),
^Ibid.
'79% efficiency of recovery from ore (Canwarota and Lucas 1977),
-------
f GOODS
AND
SERVICES
OX'. = 0004
41,900
ZINC AMD CADMIUM
INDUSTRIAL
PRODUCTION
FUELS
41,900
FLOWS X 10® S.E. CAL
figure 4,4, Aggregated model of Zn and Cd production with flows evaluated
in terras of S.E. Ca1.
13
-------
OTHER
ENERGIES
CADMIUM
Cd
SUN
Cmax
CONCENTRATION
ORGANISM
TIME
UPTAKE
time
Figure 4,5, Evaluation of Cd embodied energy in biological systems.
(a) Model of Cd and energy inputs to concentration process;
(b) Idealized uptake curve for Cd in biomass with uptake
time used to evaluate embodied energy. B is biomass; M is
a Michae'iis-Menton accumulation process.
14
-------
for the fd-tr-patpci st^eai*"5; wp nmt add tf» y ~.+" the Cd
inputs r>y 'hf* humj i i oi,( <1Uv 'o t.'¦ ia1 ur>~ Oi i.«J «,r< X
10^ 5„r. rvi]*kq (V^ tM-nei M in Si>- m.tt,H v> : v,stc.^
cos1.. At ' k'u .nPG t i " iiiw > nn-, SS" im t >i> nc )vv, r<
ctt^-ae-u^ t>.ii. . v< :tIv'iVr^ • ?id *. •, o< 'J ^ I - " ? '> prb
t rpatncnt. ind 1»? * •> ! o".if r <* > he p\,l t' r>r - -\-,ulnrti "i f'.'i* Ci'r rc,'":rcf ">i.,.
Adding the Input energies and dividing by the Cd storages gives 2,3 x 10'
S.E. Cal ¦ a Cd"'- at a biological concentration of 7.5 pprc, and 2.9 x
In ~ I,!!"'1 ,i i . t'»»
TOXICITY EFFECT
As a nati
^, -ome biological sj
artsvfiv
f 1 ows
; and 1,
•es and I
Hunan technological systems
c "" ' ikI ff'Oin n«"> >v nr -vmf.t *1
trol in I -> ov *!
result as by-products of industri
sent 1drt]fe :'rtt rjv flew*; ' "f h" -;
On fh > c ti^ ; i r 11
tt 7- iv>t a part n mot \
tern's goal is maximum power, the
t>nK'i>i"o tlr \mf i > iiud ni
decrease a system's power must be
led tv rhroa^'t f,in^ns Ipcii
trolling agents may be incorporat
organism as part of enzyme system
way:*, lhu;. , o^rn aiv _me
plants at low concentrations, but
that this subsidy-stress gradient
* or inv Mi' ;' irt i 'hit hjt Uvn -
time, and quantification of this
calculations.
may be similar in this respect. Toxins are
zed In laboratories for the purpose of con-
ws- In addition, toxic substances often
al processes. These substances also repre-
is a drag on the energy flow in a system If
es and regenerative processes. If the sys-
ideal use for a controlling substance is to
t'» >v.< * 1 *i^ u riir, > rl h , 'o*ifss chat
ik'X ».• i {^ oa Hv Mi'iinr! s>^tt.ve or adap-
and evolution. If possible, powerful con-
ed into product!ve processes within an
is or respiratory and photosynthetic path-
recognized essential nutrients for many
are toxic at higher levels* Me propose
i<,-. '\lum < .>f i'"'?1' * X it. ,,1 tipfii t dse
part of natural systems for evolutif
fit"
s-iLn" ih>\iU;jh csribaaitxl
Arndt-Schulz Law
In the fields of medicine and bacteriology there has long been a rec-
ognition c: cr imrl - i tr, '• < n.ir^-l \>< > >». ir
levei ^, ;ht< * rns*' ¦:> ^ ftv ll>\v '•> hr 1 * [. t.' aff'r twfs c* ruif) n
physicians working on the effects of drugs in the late 19th century. Lamanna
dim ,>fj»1 et r,iTr p this "• in "hnr k,<*eat i«r jn hacteri.^ow,
"'urowfti rar „ » ot" » io" h, arH nw' hmk'
-------
a diversity of inorganic and organic poisons" (p. 598), This phenomenon has
been recognized In the effects of ionizing radiation on plants (Gloyna and
Ledbetter 1369} and on whole forest communites (Woodwel1 [196?]; Otto and
Pigeon [1970]), Atlan (1988) has discussed this phenomenon with particular
reference to the information content of organisms. He provides a general
theory of organization where optimum doses of any normal environmental factor
(ionizing radiation, heat, oxygen tension, etc.} tend to reduce noise and
maximize information content and flow. Of particular interest to this report
are the observations of stimulatory effect for heavy metals with no known
biological role such as mercury (ftzewuska and ifeniikowska-Ukleja 1974) and Cd
(Doyle et al» 1975),
In their summary of the Arndt-Schulz effect for bacteria, Lamanna and
Mallette (1953} continue: "While the universal occurrence of stimulation by
poisons suggests the possibility for the existence of a single basic
mechanism, the very diversity of chemical compounds and biological processes
involved presents enormous difficulties to the imagination in conceiving of
such a mechanism" (p. 599). They present several plausible mechanisms for
this effect in biology, but in their attention to detail, these authors seem
to raiss another important possibility; perhaps the mechanisms of the response
vary, but the cause of these adaptations is consistent—namely, the criterion
of maximum power. Thus, all biological organisms have evolved under selec-
tion pressure to maximize their Ine processes and have been continually
exposed to minute concentrations of toxic metals, free radicals, and Ionizing
rauiation. Given evolutionary time, mechanisms that utilize these "poisons"
in stimulatory ways would be selected. In experimental toxicity studies,
these low stimulatory levels are often below the range of the lowest concen-
tration studied arid when stimulation is measured* the data are often ignored.
Stimulatory effects are evidences of orgBimation for maximum power. Adap-
tive systems can gain by using substances with large effects.
Just as there is a range of concentrot ion effects by a chemical, there
is also a range of reactions by different organisms to a single concentra-
tion. Due to the tremendous diversity of adaptation, some species may thrive
at extreme chemical concentrations and flourish because of reduced competi-
tion from other organisms. Species with short generation times may quickly
recover from a chronic toxin level through intensive selection pressure. By
the same manner, ecosystems may adapt to continuous toxin inputs through
redesigning of food webs with resistent organisms- A look at some specific
reactions to varying Cd concentrations will allow the formulation of some
general toxicity models.
Review of Cd Toxicity and Proposed Model_s
Data from the literature are examined for the effect of Cd concentra-
tions on growth in order to determine a general organism response to this
toxin. Parameters of the storages exam'nod were net yield, cell density, and
chlorophyll content; and, the parsircteis u? energy flow examined were growth
rate, oxygen evolution for algae, and oxygen uptake by animals.
Microbes—
Hammons et al, {1978) reviewed the literature on Cd toxicity to micro- -
organisms and determined that, in general, levels above 0.2 ppm were neces-
16
-------
sary to show a toxic effect on bactei iu» Oovle et al. (1975) published data
for several bacterid arJ one y-a
observed awt 10—20 pnm (ri«., -i t>). A whole ran-js i-.xit ru-ao-inscs is
seers in this ^ch<€Tl;1 of win Hi siw ^ ~i - itmulst »ici Lacco-
bac11 lye acidoohiIns).
P1 dnts—
In most fiqtMtic systems thi rv fiva 90,it! rally two distinct groups of
primary oroducirs-—fh« a'lijjf UtUr:crosr-onic algae may
have 'jeiie^ation times cf a f>w clnvi wnle aquatic ^ac^'o^hvie^, goner«Hy have
one o one fat ion per year. M tno;*uh !Obora!:'ia redevgn by punt reiwiuni-
ties tire much faster in t'-ie al^ae.
Most laboratory stuoioi of .-',1 <3a! tonti?>- hav« been rude with the
"laboratory weed" al^ae, wmch are easy tn cu'tun* artificial condmens.
Sensitivity of th>.*se species to a < honrcal rcuy not be typical of all alqae
just as their ease of culhiri* ml ty treat of all Mfffi Rcvcrtneiesn, the
repl icabi 1 ity of laboratory studies is useful Vi a. comparison qvc- a large
range of concentrat ions of Cd.
Figure 4,/ shows ttv» effect of Cd uti 10 I ppn ois oxygen evolution in a
blue-green algae, Anacy *t|s nfdulavs, reparreti bv KatdtM ri (19?5}. A concen-
tration of 100 ppb w.r, toy Tif to "be inhibitory while 50 nob gave a slight
stimulation over controls. A small ai-tottm, of photosynthesis was reported at
1 ppm Cd.
In s study cf Cd effect en growth of Sc/nfldesnus quairitaucta (M g. 4,8),
Klass et al, (194^ reported reduced c*>n dens^ti05 at fc.t ppb with sorrje cell
growth still observed at 610 ppb, Llr.ce again a small stimulation of fraxirtun
cc61 numbers was reported it a concent ran on of 0.6 opb I'd.
Studying «mjlhor green alga, ChUnyfomonas reinbesrdi i. Kneip et al.
(1974) reported reduced growth at a i'u cnncentratiod of !U ppb (Fig. 4,3^ ond
alraost total inhibition at i (!j«i <'d. Once again 3t tht lowest levels tested,
0.01 ppb, n slignt st* my I at'ion of pet ^n.wrh was observed.
No control 1 ed e/penmerrt of fid's f:f"*ect on aquat i/ maorophyies -it a
aerns of different conc*ntra( 10ns wore found; however, a i-estna¦ plants. In
hydroponic culture, Turner (1973) found ihv yield of tja>"rit?n veciet.ibles (rad-
ishes, lettuce, beets, tui^rcws v carrots, and swiss thard) to be lowered oy
100 pob Cd; ,»at tomatoes, Icttucn, arc radishes were all stimulateci at 10 ppb
Cd. Hydropenic culture ef bush b^dns {Wallace et at. 1977) and «iea?i$, neets,
turnips, and com (Page et a:'. .ilso shovtpd yield ruauction at 100 ppb
Cu in soljtiun, buf no 1 uwer oxpsartn^nt?I levels wer^ tested,
Vascjltir cldnti, when q?own ir# seil, $nov. sensitivity onlv at much
bioher Cd. concentrations. !ob»
-------
'TOXICITY CURVES FOR MICROORGANISMS
I
0.9
I 0.8
0.7
X
o
at
o
0.6
0,5
UJ
2
0.4
0.3
0,2
0.1
GO
20
30
Cd CONCENTRATION {ppm}
40
50
70
80
figure 4.6, Effect of Cd on net growth of six microorganisms in batch culture
{from Doyle et al. 1975),
-------
evolution of imsma aidutaos
~c
120]
o*
«
5-
o
5;
o
10
z
Ui
C5
0.
0.5
CENTRATION Cppinl
1.0
figure 4,7,
t of Cd on oxvaen evolution bj ¦> alue-
*5 1 '' "''IS' 1 h „ lans in bunt cul-
(from >,i >1 I' T
-------
10 CN
TOXICITY EFFECT ON Sceiieteaii ouodricouda
90
80
um, CELL#SEEN
10 -
0.2
0.3 0,4
Cd CONCENTRATION (ppm)
0,5
Figure 4.8. Effect of Cd on cell numbers of the green alga Scenedesrous
quadri" cauda in batch culture (from Klass et al .Y974T ~
-------
TOXICITY IFFECT ON
Chiamydomonos reiphardii
250
I
m
« 200
m
>
<
o
150
t !00
m
z
Experiment I
ui
a
Experiment H
0
1.0
0,5
Cd CONCENTRATION (pprn)
figure 4.9. m t >t .'r->wth of the green alga
in batch culture
21
-------
Animals-
Many species of aquatic animals have been tested for sensitivity to Cd
exposure. The most useful experiments to this report are those where some
functional property such as rnetabolism, net growth, or reproductive capacity
is determined for a series of Cd concentrations from just above background to
severely toxic. LC-50 (the lethal concentration for 50% of the test organ-
isms in a stated time fieriod) values or survivorship curves may also be use-
ful if they are determined for several Cd concentrations over the life span
of the test organisms.
Spehar et al. (1978) found that 27.5 pph Cd severely reduced the surviv-
orship of a freshwater snail, Physa Integra, at 28 days, while concentrations
of 3 and 8.3 ppb increased survivorship. Working with another freshwater
snail, Biompharia glabrata, Ravera et al. (1974) observed severe Cd toxicity
at 100 ppb.
Respiration in tubificid worms was found to be enhanced by 10 ppb Cd by
Brkovic-Popovic and Popovic (1977) and decreased with respect to controls at
60 ppb (see Fig. 4.10). The percent survival of a mayfly, Ephenerel1 a sp.,
was considerably reduced at the lowest concentration tested (3 ppb Cd) by
Spehar et al. (1978).
The effect of Cd on egg production and percent survival at 30 days on
fathead minnows, Pimephales promelas, was reported by Pickering and Gast
(1972). As may be seen in Fig. 4.11, both parameters were reduced compared
to controls at 30 ppb, but egg production was greatly stimulated at 15 ppb
Cd. Senoit et al. (1976) found embryo viability in brook trout to be
inhibited at less than 1 ppb Cd (Fig. 4.12). Survivorship in two other fish
species, bluegi11 sunfish and largemouth bass, was lowered at 8 ppb in labor-
atory tests reported by Cearley and Coleman (1974).
Summarizing the review of Cd toxicity, animals have sensitivity simili'*
to that of plant and algal species. Concentrations of Cd as low as 30 ppb
are toxic to many aquatic animals, and some sensitive organisms or life-
history stages are sensitive to less than 10 ppb. Cadmium at low levels may
enhance functional parameters in aquatic animal species, but toxicity is
highly dependent on hydrogen ion, ligand concentrations, salinity, and tern-
oerature. All curves of toxicity were similar to one of tne three graph
forms in Fig. 4.13, Figure 4,13a represents an accelerating effect of Cd
concentration on growth reduction presumably resulting from a drain on the
structure remaining. Figure 4.13b illustrates a decreasing effect with con-
centration indicating a saturation of the toxic action at elevated concentra-
tions. Figure 4.13c may be the most general in that the other two are
special cases. This is the typical Arndt-Schulz effect curve described tor
all poisons by Lamanna and Mai lette (1953). Although some toxicity data
reviewed did not show a region of stimulatory Cd concentration, low concen-
trations were not always tested.
Models——
If general models of Cd effect are recognized, data from diverse
experiments may be organized in terras of model parameters and more precise
comparisons can be made. Although only species-effect data have been
reviewed for Cd toxicity, models presented are descriptive of trophic levels,
also. In Section 6 these trophic-level models are combined in an ecosystem
model calibrated with data from the Cd streams study of Giesy et al. (1979).
22
-------
1.0
~ RCSF .HON MS* TUBIF1C10 WORMS
48h LC-50
h LO ™50
Figure 4.10. Effect of Cd on respiration of tubificid
worn'S 't static culture {from Brkovic-
Popovic and ¦ .povic 1977).
23
-------
fiOr
100
Toxicity Effect on
Fathead Minnows
90
-4000
80
-3500
70
% Survival
SURVIVAL
80
40
2000
30
20
egg production
10-
500
0,03
Cd Concentration {ppm)
Figure 4,11. Effect of Cd on egg production and survival of fat-
head minnows in flow-through culture (from Picker-*
ing and Gast 1972).
24
-------
TY EFFECT ON BROOK TROUT
800
700
# 600
2 500
® 400
Generation
300
5 200
100
.001
.003
.004
.002
0
Cd CONCENTRATION (ppm)
Figure 4.12, Effect of Cd trout in flow-through
systems (frc ;t al, 1976).
25
-------
CO
TOXIN CONCENTRATION
u
ts
IE
IxJ
cc
TCXIN CONCENTRATION
UJ
o
en
TOXIN CONCENTRATION
Figure 4.13. General curves relating toxin concentration to toxin
effect, (a) accelerating effect; (b) exponential
effect; arid (c) general curve with optimum concentra-
tion,
26
-------
Nnmenjt": hh'tftsm :'n« >. > !V t ,¦> m c * h:< ^ ->t m»• <<<. '""JT*, na1 i
of these mechanisms result from inactivation of enzymes by binding of Cd with
«w rnvoi.'5' it'it'p. r *:r 'r hn >,itrt1 rn,i, M*.f» phn y >» t * ^ tc ->M i\ Cry
p^Xt *a\,v il? i iii'-i i] ¦ tr vi i v 'rvrp r t r tas5)ic i'ti
exist*, if I'l'i -*1 :,y .f if f.'.r nr.' 1 I . > K l'iv it i flu t «t v\
nvo^iiri^i jf 1'w . i] < i «>> t'.ii., << >n, ^^ f r -i -•>,'* .r!1p>"ie,mt ,Wfh,,r
ibite. 1 l-"1 ^vs ^ryj<2».i x t >j h ,t ok pi?' imon
Hal resutts.
nt.rx s , * 4 i Uu- *" ;fc ^ «»• 'j1 j" ill 1 ^ ill i 1 "> v: v_ • t«t \11
on a storage (Q). The storage is modeled using the logistic growth equation
(squared respiratory drain [R]) and the toxicant reduces structure (J) as a
proa; *t of ;ti i .. - ft i -tt s on >, » ]. *1 <2 B h J.1 t 'trotter
program of this model is given in Table B.l. The curves generated by this
simplified model (Fig, 4.14b) ire typical of the results seen for many
studies 1" h: 1 * f ut'.r- 1 <¦»» nir, x St
r«ilu»i 4,j®i 5 u'rra !!,>••* - , ;< - r ttec Oi ; '!>; tr, oiof i > a t,v rn i t ?n s) "l "¦ mi '-nil! ,ui >» .! ib ' 1 "idUu, t r>>*esM* *ti> n s?
enzyme reactions. The computer program for this model is giver» in Table B.2.
figure 4,15b presents representative output for this model at two toxicities
f or so 'c ;i 1 f ,»v s k .rr>-L"it "a t>vt^ 'h,i 'U».f j " n< v» a st i »i'l HtW regivn for
nt€^T| as wc i I «>> he >t 'v1 iii.*n r,t)-r •> i\i1 iv ' i -ii'i'iered.
b> ' > i], 1 ] to ' JK . ) - h, n i _ > M|jl • , ,->p> , ( y * I j v» iffl-
fiutfi' prn.]'~ r>( if ^ v'e'i 1 *< *\"b!t .i N u mj ¦ ¦ -r.c-3 01 hi >i ic'« <>ik1 iiitrltrt
uptake rates were exanined and stimulation of production was found at some
CO'1 h;rt5i ten-: ilv.m'h r nic • ^ v«s " I c .. 1 > i r>i' 1 <;1 {~c;, 4.iui> i.
The optimum effect was the result of an increase in available nutrients and
would not be found in systems with nutrient excess.
In summary, we conclude that observed Cd toxicity data ray be generated
from simple models of toxin Interaction for organisms or trophic levels.
Models of toxicity must include rare than just negative interactions such as
[fnw in Fig, -M'1 t" '>e "> • 1 'a*w m > j stai phenf!T.e'ior', H,jwev?r
K, j
Cadmium Bioconcent
! rtrt'wvin fir i\f • 1 jc* u ^ i imi t i ,i\ 1 ; n>'1 t ii, i <;>i , h"!cHqi>^5i ^ -
tens can have a large impact on cycling of minerals in nature. When absorbed
or adsorbed by a tnotiie organism, elements ma^ be transported and. relocated
in a system. Through uptake and death, an animal or plant may store toxi-
cants for varying time spans, effectively removing them from biological
circulation. If inputs of a netat such as Cd are low, biological uptake may
greatly lower effective toxin concentration. Mechanisms of storage are sys-
tems of detoxification. However, when systems receive chronic elevated
inputs, detoxifying systems may be overloaded.
H i ft- >\'t pr us Mi'c Mr, ,Kf u i! > i ^ tt r'^'^vr 3. Ti;>'euyh ' v'.tf^n
vgif* ; iv,!, ^ecias nutt tn^ii »f> :-tr'» f,i > u m > v han ,c,$ mn
be select e » c'rs si m .-i re rcrn,>\r irt,
27
-------
Q s P-R-J
P " K,SO
R-K2Q2
J »k3qt
TOXIN UNITS
Figure 4,14, Model of toxicity as a drain on biomass.
(a) model; (fa) representative output for three
values of K3.
28
-------
m
? 900
«
600-
300
e
w
0
4
TOXIN UNITS
Figure 4,15, Model of toxin effect on an organism including a
stimulatory tuition and an exponential toxic func-
tion. (a) model; (b) representative output for two
toxicity levels.
29
-------
a,
b.
U 3
to
0
5
10
TOXIN UNITS
Figure 4.16. Model of toxicity effect on recycle showing stimula-
tion of production (P) because of storage (Q) decay
and nutrient (N) recycle, (a) model; (b) representa-
tive output.
30
-------
In order to generalize on Cd uptake ability, 9 short review is made? of
curves of Cd uptake ~«. « k>e«"; of Cd rw> uivrati m for various yr n«i»? of
organisms. ft sw<%> ce7r,,i 1i ,->1 >i is tr»t generates sitn^s
results.
Microbes—
Rrseart'. i V , cl 3' !u ' ' » i 'I OU*. ~l "r i,(M | ',pt' 1
shows the variability of uptake by different species (Fig. 4,17). However,
cor^em a' ui" ( v 1 or; «om* i <>-\i ^ ,* j u>»k~ rot , ji, ('i . ;11 u> cv>nci ti-
tration 1n solution) generally decline as high solution concentrations are
tested and curves are possibly hyperbolic for some organisms. The one fungal
species,. Aspergillus niger. did not demonstrate this effect and was able to
concentrate Cd from solution by a factor of 2000X. Of the microbial organ-
ises i esteu, 145j ¦ tji < •»» tJ.>s >i-c uru. ".J t * j .-on hi 1 icm 'i J01.* \ m- A ^.y* H 5 h Jj[drib ^ 0-
hav
pin M11KV -o^OOX for i-H e M f, m <11 ' h^aht HO,(roO*
for mixed algae (Kumadd et al. 1373); and 10,000X for marine phytoplankton
(Knauer and Martin 1973). Although these concentration factors are dependent
on hji «-» >_h' 1 ^ *. 1 v os vie 11 as 11 ,!~l lur lute vM' 4.18). thns way
rvif recent sigmr>Ldni i.t.v v «11 *n ur r ! ^ u.al ^-fems.
Figure 4,19 presents an uptake curve for the aquatic macrophyte Na.ias
quadalupensis reported by Cearley and Coleman (1973), which is representatlve
oT" Cii li olart- . ui' m * at i,in\. M ¦> I, 'urn..->n
f Mt «ort c ifift r f Htfi 1 i?-fiji- t.f 4r>;iQi";x ^-
measured, Giesy et al.
of .M-nti".
tffusissimus and 10.0001
(1379) reported Cd concentrations >4Q,00QX for roots
or
eaves in stream microcosms.
Antral-; —
As wit
function of
''"Pcrtci \i\
caddisfly, and Pteronarcvs dorsata, a stonefly. One
general hyperbolic relationship between Cd in soluti
microbes and plants, Cd uptake by aninals is a hyperbolic
1 >r ^ aut *•«•, «, :•;< ji; t >'er*v i,J levels
. t f> i 't ^ 1. . >r 1, t il :L! t _> iu
ia«in we see t
and Cd conceit
i,
She or ^
Model-
A model r
A concentra
wii ror tue
•> uptake and coir
curves and a
ion in the organi
ilsorption of (neta ¦
and the Langmiur
,or t
, o..«
','10'*a -.id', re i> at
r tlse btunei ;>.
Dy
ition by organisms must generate
hi!'' ¦. h ? ok';> j straay
• 1,! 11 *- 'jr iw'i u'ta ! m ^odnl
S' 1 "'s >ncl »•'£' rh^. rnionni n»h isotherm
fVi noupi: if
31
-------
UPTAKE BY MICROORGANISMS
100,000
•o
o
8
S0,000
70
20
80
40
60
0
10
30
50
Cd CONCENTRATION (ppm)
Figure 4,17. Uptake of Cd by five microorganisms in static culture
(from Doyle et al, 1975),
32
-------
6000
UPTAKE BY Hiitofeiio pyrenoidosa
5000
4000
r
£
h
s
I
3000
s
s
® 2000
I—
.000
0,2
0.: O.i
Cd CONCENTRATION (pprrt)
0.8
Figure 4.18. UpU ¦ of Cd by Chloral!a pyrenoidosa at ;w- pH values in
static culture (fronTTfar t and CqdTTT^/S).
33
-------
4000-
Uptake By Nojas ttwdolypifisia
PLANT Ctf
affar 21 days
I 9pm) 300Q.
IOOO-
as
o
0,2
as
0.6
Ql
a?
aa
Cd CONCENTRATION (ppm)
Figure 4.19. Uptake by Cd by the submerged macrophyte Na.ias guadalupensts in flow-through systems (from
Cearley and Coleman 1973).
-------
UPTAKE BY AQUATIC INVERTEBRATES
400
500 -
a.
200
CO
m
' 100
0.4
C
0,1
0.2
Cd CONCENTRATION tpyml
Figure 4.20. Uptake of Cd by two aquatic inver crates in
bat - cultures (from Spehar et al. 1978}.
35
-------
Cd uptake by adsorption include a cycling-receptor of surface area for
collect ton of Cd. The model diagramed in Fig, 4.21a showing Cd accumulation
as regulated by biomass Includes the adsorption loop. The BASIC computer
program used for simulations of this uptake model is listed in Table BA.
Figure 4.21b presents results of a simulation of this model in which the
surface area/absorbed Cd ratio was varied from 10 to 300 err*ug Cd"*.
Where fewer Cd adsorption sites are present, a lower total Cd concentration
is possible. Smaller sizes have a greater surface area per biomass and may
collect more but store it for shorter times. Figure 4.21c illustrates the
effect of increasing the average radius from 0,1 mm to 1,0 ran in this model.
Thus, there are two mechanisms available to reduce the effective concentra-
tion of a toxin in solution: increasing number of surface binding sites and
developing small size.
Embodied Enerov-Toxicity Correlation
As discussed earlier in this report, we expect a consistent relation-
ship between the controlling effect of a toxin such as Cd and its embodied
energy. The nature of this correlation may now be hypothesized. Given the
generalized toxicity curve in Fig. 4.22a, we expect major changes in the
correlation between these parameters for arty given system, tending to give
zero control effect at very low and very high toxin concentrations (Fig.
1,22b). A positive correlation is expected at low concentration and a nega-
tive effect at higher toxic concent rati oris. The segment of the curve where
there is no correlation between embodied energy of the ocntroller and its
control effect represents massive toxicity by the controller and may corre-
spond the concentrations of the toxin that f;h living system has not been
exposed to long enough for adaptations to occur. We hypothesize that the
segment of the curve showing a positive correlation corresponds to toxin
levels naturally occurring in the environment.
36
-------
s
Q ,
—*0
300
50
Cd m SOLUTION (ppb)
m
fa
1
-01 mm
-(.Gum
¦/
/.
50
100
Cd IN SOLUTION (ppb)
Figure 4,21, Modr-I rf fd adsf^pt^Vn In p^riphytcn.
i-r-i/th cf U s is dau*fndti-^r nr
: -rir>n * n.ti'- lent; ; . fadmii.M
adiji tv-i h. Air*-a- are! ftl »^ult~
tnq in i j-Srtt-jr*>[5u -.urtdce area (AC).
!-) ]: (t-0 r'Ff^r' nf i«•;; s>,isir.q sur-
f.ifp ",tri CJ Vi id; 5 ( \ ert'ect. of
l>.n i'HX' tel ' r\f:1l Ib.
37
-------
BIOLOGICAL
STORAGES
OR
PRODUCTION
RATES
CONTROLLER CONCE>«:f.'/.l !QN
CONTROLLER EMBODIED ENERGY
Toxicity curve (a) and cor-
responding energy effect-
energy quality correlation
curve (b). Region I repre-
sents a positive amplifier
action and region 2 indi-
cates a negative action.
38
-------
SECTION 5
CADMIUM STREAMS
"rated as microcosms receiving two
criptions of the methods used in the Cd
t in,)).
Site C
tion
The artificial sti
in Aiken County, South
ated by the United Stat
rj »0 - prov • ,n'u i. 1 .
pollutants in natural v
-i'jfl 5 m -it in i n1
earns
1 to
was takes frorti
oeing added to <*
eel in Table 5, „
1,, • rw water,
,< it t, sfi a W3l_r
! > i'-^m time and
nd effects are located
— ,"uich is oper-
< - i.i > 're built with
he fate of
has included
i t;n'. U'lnia and Beyers
I m wide,
0.9 m
1 • Ms.- polyvinyl
t'<» t hoiiii ! > to a -if) -
., ,>¦" "i ,< i,.ntni was ch\*
s
:rs of
2 h*
1,3
tCIIU of a previous study (R
nunities known to be we!
Juncus diffusissimys an
the channels during previous
Consumer organisms consis
[mosquito fish and bluegill)
1ft til now tfvwi t eu.
four of the six Uiu,> - is w-v
was metered into ta- ",urtn
39
'i'' ve-v
i > * L'i al, t'i
adapted to channel condi-
Sratiola virqini aria, which
sus studies, were trans-
ing of clams, crayfish,
were added to the sys-
irted on March 18,
•egion of the head
-------
TABLE 5.1. AVERAGE ANALYSIS OF MAJOR HATER QUALITY PARAM5-! IFilS IN CD
STREAMS INPUT WATER AFTER TREATMENT WITH HYDkAIEO LIME
Parameter
Average value
Total dissolved solids
20,5 mg*L-1
Total alkalinity
9.14 mg-L"1 as CaC03
Hardness (EOTA)
11.08 as CaCOs
Specific conductance
31 pmho'cm"^
Ionic strength
2.5 x 10"4
Calcium
3.17
Sulfate
1.9 ing'L"!
daynesium
0,24 rog-l'l
Nitrogen (N02 and N03)
15.8 ug*L"l •
Phosphorus (total)
2.9 pg-L"1
Cd
0.023 ng-l-1
40
-------
pcol v v,ith a - - chApiel peristaltic "
wpre si !i*j*l f ft th>^ nhd,.nf • s and
tho reaninn; :n«nv* i ¦- Sf-ryint
tinned on ¦' r
Csfunity Structure
Peript"ton hi'jtW ¦,, -i i "<> rivnpo'j ion t^Icai on!)'),
art! j 1 us' 'uhMi'' wu-t? «¦ t')vM1 > > -V on ver" ,f t i nusi w, r<-; .vpe slices
oriented paral".*-1 to ti*e c-.m-Mif in vfa> v.ha'»a»>lTh^ 3atrv fMranet «?>*<•
were a1 jo mp.is ced lament> 5 v ns a~d;\ 1 * v„»i1 to
colonize for 30 iie/sT -is wH a*. -Yorr t've> chwnM wa""Is , benthic
mat, an'J nnd su ^st r ,)S .Samp!-'. « • e a f .MuU'icc ! o total Cd eiMtrnt
from ail tf the?sub-jt>V.os.
On t#o occa^ini- sfftn •. o tf>| ts we - • t*r* ;ir>U.>t, pojiuijt ion ^ns v,vrt? yft-aiy: rtist plant b't.mass samp-
ling by qudnf«;t ana Vs ii> ^«?s te V 1 0,«..* .-in- sec?'* ns i.-f
and associated plants w^rv rvny,-«i fiw wen cnantiu> ant u!dirt bicmass per
unit art-d bv spcee:s w cd^c\,.jtfv,
Quantitative sftiivYs fo" nut . os! .'io:v>ir>~theirv? vponqes. Pm>t
organisms were itVit i fieri .t:; to '-.roues > .-m." ^wuss and Co concern -aI -"oris
were measure when pr\iivt TCdl.
'•» ton 1 .-iirnmity «;r,' imMutn-n a*ci
hr periods by measuring upstream-rtownstrea?
Medsurent1'!...-.
wire made aver C,'!
oxygen by 'Wthou c.u^|V t<_ from
the itrearos by -nttr i!s
determined us trnv j '¦ SI ~ndt' 1 ;4 D'' r'Vi i»t
tion of the Wuiiier r 1 nod T^),
on
4jut singes ¦
ar1 JiSb^ivfd oxvgen
u'»un^ th
from
it mh
f tca-
! n the -nnni of IS),i s^rrnout nrn.i ic npt«'0.< 'f e ir th>, t \i' e>ar vtiei^e' K VSI cxy 9^ prubes
a?U meters, twn timer u.»>«>< » •ni'l ~t •;)af f ;ccut' ri wi fh 'i'niho1" liner
attached At i;a>',b ere* \ (' ' K ir.n n ,«¦ ; u1 lints oa^'t-n rhnju»^i vo^enoid
v-ilves i*rt3 a i n>?. ? c r¦irrroi
Dissolved tuvqui Wdi mttini-u'
r»sponding cw*ers vvf,-t l?o 1
at t-i»np intervalh. 1 o
each location uere i?r Mniui
calibr.itea >e\ oril "-.ics (sc
. ,v mn , ,j , v. u, char
using thr ' , n tt, : p(,m .'n
for diffus,on ay .alculatin'
1 ru- c-uH! ] ''itiir t\£' th- t nH ox the purine.
1 tji ID *»•» ed>'li hi-u', iuinals f rcu trie t.r»r-
tTH't frj1 fit" »• -i ifiott to tno mMfder
!,¦<> !-iin<" r^'Mrclm^ u.' nu c^^c-.ntrations at
- k >""1 iifiij.* 1jri r d .iy 3rd night. Pfobt*s were
>r braCi ,4-h, wv ca
. i! ">U , 1' iiin p.j for a alvei water mass
,ii!t n, " -J h>\ ihr* e valuta were corrected
jprceni --att'ro^icn Md .tsing equation 5.1:
D = kS
(5.1)
41
-------
where 0 = diffusion rate (g 0?*m"2«hr*^)
k = diffusion coefficient (g Og'nf^hr'l at 100% saturation
deficit)
S = saturation deficit, calculated as S = (100 - % saturate on)/100.
A positive diffusion value indicates oxygen diffusion into the water and
therefore changes in 00 are corrected by subtracting D. Values of k between
0.04 and 0.8 g Oj'm-^ hr** were measured in the streams using the
floating-done method of Copeland and Duffer (1964) nodified by McKellar
(1975). Values of k between 0.1 and i.O were used in the productivity calcu-
lations depending on weather conditions, with the highest value used "for
windy and rainy days. In no case did the diffusion correction alter metabo-
lism values by more than 10% of their uncorrected values.
Corrected rate-of-change data was plotted and areas integrated by count-
ing squares. Nighttime respiration values were averaged and 24-hr respira-
ti on (r
-------
Concurrent studies of Cd v< t ^ r>rn- nu using the stream
crayfish (Thorp et al. 1979), ,=>, s ^ n ,i .. »sy et ai, 1*377. A
Giesy 1978), and leaf decompo- • « [( .!„•*,t *.
STREAM MODEL
An energy and matter flow model of the artificial streams was con-
structed first as a diagram using the energy circuit language of Oduffi {1971}.
f.*>e Itiod^' * n, J < , tYc'* "Sit' "P ll ri, !' •, I , >11 1 1 ^ < ir*
alone, hi ?> r ».s , rt ^ • ,'>r . > *iv| c •( i ,r^rtKj .it -me response
to Cd at different concentrations, further details of the model are des-
cribed in the results section of this report.
The major blomass storages arid their Cd content were monitored through-
out the 2-yr study and have been used directly to calibrate the model when
possible. However, few of the data are for average levels throughout the
i.ttcrocc^nH, i> i . r\.r ~->r > .* <\* r.-r 1" Vs >c *whM, -«ip« ,
Thus, to calibrate the model to whole-system averages, assumptions and
extrapolations from a few measurements were made to other data.
¦VI io s"o» :K > >tes i -r ,i • i > j! b< i ,> r*sc> :w 1 riv I'm ; -nbc-*
than Cd uptake and release, systen production and respiration, and export;
and therefore, a considerable amount of parameterization was done by
simulating the model and comparing results to the actual measured storages
over time. Specific rates from the literature were used when available.
luiiwuinr Sii'.f li if*' -t'n- ci er "«a(!yt5«iq3: ciurfw? the
early stages and finished using BASIC language with an Intercolor desk top
microcomputer. Integration was by means of simple difference equations with
variable tiros steps*
ruuth .vuh v_J at- ru i.h, i K tn>: r^rio*- cn » twi.s as
>ie>.he.r*fis we* . 3 be ,r n * 1 v,t * ,ih *(. j< i a or other a misms
ncccssar, to »-s zt<- the im . • u ti m, i " - ; < > • y\
ENERGY RELATIONSHIPS
la.t» La i i
In oi
storage, <
sible for
for a simj
•erg)
\
on
pr
in prn^.
n made
•, emboc
'ow or :
! "IS 0
i--, F
V>cen a>
embodied is
sy
low or
pon-
>Uuh u model
amass (\J,»
43
-------
OTHER
ENERGIES
SOLAR
ENERGY
figure v.1. Aggregated rodel of a production process Kith two
energy inputs (A and 5), gross production (C) of a
stored product (0) with feedback maintenance (0)
and maintenance energy loss from the system (E).
The embodied energies of flows C, D, and E are
equivalent and are equal to the sum of input e ^ od-
1ed energies (A + b). The embodied energy in tj is
equal to the total embodied energy input {A + 8}
multiplied by the turnover time of Q.
44
-------
wj*th minfen*nre ?nd pi^i^tGn^nc^1 {0}* Fo^
this no lei rou;d k»>,"> '.stMl j.for1 t .ior n ' lvpr trc crp^sy a.^ucs-jlc3 w> t» c,• nthsr inputs
such -: TUit' -iift? ii ri*1n t "W t ur^ r t f >7
flows rust ?!¦;'• tf "jlctsl •1 a1 r* nm<1
frwde v.tth the use uf e^irrt^ o~ Cf.un.s
kinet tr enerq% of >-nn, c, > 'l i1 ni v>il>iP;
(qua! Hy f ic'or O piiMiiHOu >w Hd >1,1 ? h (•!•-
: S.E. Ca 1.
content (fi
for enerqy
Jdum
1980)
'"h e z c . 1 cu I .it.^ Oft rc»i>
« *// of ..ft"(iiicrmst ' -If, f"31f"j
I'hAt ^ -11 , J^RCH
he
E
fo
»1 embodied energy fit
1 fl
ernt
is thin the systen tousxlary
1 energy in f Ic.r, C, 1),
r:s may be very u.ffutr
integrated inpit energy
w. Thi,r ¦
iiil ^lihmjo!, 1 he, > vot ? inalerit em
•iie'S energy "f a r-ot jc- ^ equal to 1
storage.
tr«e ,k;ual e/'trrpe; us 1 „ >» and E (C<
n ratios (TR) may be calculated from 1
input energy {fi- * Bs by the ar<-tjai fnpK.^ in <
EM/f > pre^fnt', t ht 'k tor aiv 1 j.tix'u i>Mfv
Ca I *Cci 1"^ ! t > value5 may tr>er« be be ca«c ii Kit cd from sev-
eral different models arre coitifsrtr. 1 ho1-^ mny be <1 theoretical minimum walue
for each FR that represents the •ijjLhw1 "iTteicKy for the civen energy
transformation. Precise TR /alr.-'j of en-my fvpp- at\i flows are net yet
known, so all calculations ar: «$sunn>d to bp pre I Hi'siry.
i.>ni" ) art* iiHiflt, t»>on trans-
fm nvael b/ idi!*g the total
h rt^il Mni flow, Thus (A +
in Fig. 5.1, with units of S.E.
0 evdKate sens? other
Toxicity Effect
The ener/y ®f<"act of a unxir or control 1 er Ss tifasure'i m an amplifi-
cation (either tivc or fiLH)dttvirl „>f ,in or stmt'je expressed
in embodied enrr'iv ants, Thii »Mp11 1 cati^1' tner control-
ler. t
1 or t'^ainple, nci'ini- th ^ a . " ini-u' 01 : «j«j 01' i ^**1"^ tr. *
steady stdtv mcroco;-ra is found to r'ecrea-,^ cim«t7 orodurtivicv relative to
a control bv lu C?' . Fra«- pst^nnie"? ws fir.vi th.it t' 0
"iR for primary product 11 ity is 100 \.T CjI *f\il -l- .rH thu. tht cn^rqy
etfcct or We ii\en CJ i*. - .s.T. , 'Ins 1 cxm,
effect may be oi v'do." bv r,nf Cd inpMt to giv-? -IC0C 3.F, "a' -uq Ca"^ as
t.lif. lU'rw.ihiix! t.fftlc+, TU'- oniA>,yv ^i + .r.t in •} rnnlro^ 1 ira; ;»bstancf« i»>iv ^ 1
function of its rorv^nt > a* urn vHi."1 efnro tnc '-onrcr.r.r^ticn iru;;t be ip'ict-
tied *or copspariscis. hi v.ith eTOodied erwyy cjlci.,1 ationb, energy effect
cj leu 1 at inns ."v ir ? pr<>l imtha1 ^ .ifsil -Htgcc^ ' .1 rwisiun, "lie ¦sranor-
tance cf th^ enf ry.v ;•? leu lotions c.adc ir tSi:5 »eport 95 m<
-------
SECTION 6
RESULTS
CADMIUM STREAKS
The Cd-stream study lasted 2 yr with five persons actively sampling
various components of the biota for toxicity effects and measurement of Cd
concentration. The final report for the project (Giesy et al, 1979) suanar-
ized the major findings but did not include a surimary model of how the over-
all system was reacting to Cd dosing. In this section we integrate the data
that are necessary to calibrate a simulation model of the streams.
Unfortunately, only a small part of the data was collected in convenient
form for a system model; therefore, it has been necessary to extrapolate from
artificial samplers to the whole stream community and to prepare new graphs
on a square-meter basis. All of the data presented hers are averaged over
the entire stream area of 56 rn% but in fact, the corrmunities observed were
quite variable depending on their location in the streams. Thus, coloniza-
tion by algae and macrophytes was most rapid at the upstream end of the chan-
nels while a few species were always most abundant at the downstream end.
Data from ail samplers showed position effects; however, a zonation model of
the channels was not attempted.
Biological Effects
The biological effects of Cd input to the artificial streams were
affected by season, successional state, and taxonomic affinity. Prior to the
addition of Cd the streams were all similar in composition of periphyton,
populations of invertebrates, and plant, growth. After Cd inputs of 5 or 10
ppb began, the streams demonstrated significant changes in response to the
low Cd levels tested.
Algal populations in the treated channels were never as high as those in
control channels (Fig. 6.1}. Significant treatment as well as seasonal
effects on algal pigment ratios were observed throughout the Cd input, and,
on a macroscopic basis, the different treatments were visibly different in
color. At least two algal species coimon in the control channels were never
found in the treated channels during Cd input while other species formed lux-
urient filamentous blooms in the Cd streams.
The nonalga.1 portion of the periphyton was considered collectively as
detritus and microbes. The biomass of this community was significantly lower
in the treated channels than in controls within 2 mo of initial Cd input, but
within 6 mo significant differences in this assemblage between treatments had
46
-------
\J Sppb
/ —-—
CONTROL
rt D »J F M. A M J J A S 0 M D lj P M A M J
1976 1977
SAMPLE DATE
figure 6.1. Live algal biomass during the ?2-m Cd-stream study.
Values are stream averages extrapolated from glass slide
and wall data for control, 5 ppb Cd, and 10 ppb Cd.
47
-------
disappeared (Fig. 6*2). At all times during the study, the detrital biomass
was about 5X as great as the algal component individually.
At the end of 1 yr of continuous Cd dosing, macrophyte populations were
greatly reduced with respect to control populations. In March 1977, average
dry matter densities were; control, 39; 5 ppb Cd, 5; and 10 ppb Cd, 6
g*m~2. Cadmium input was suspended in the spring arid by the end of
that summer the macrophyte populations had increased greatly, resulting in a
substantial change of habitat in the channels.
An Initial sensitivity of some groups such as protozoans, ostracods,
cladocerans, and copepods to Cd input was demonstrated in mfcroinvertebrate
studies. Cadmium severely reduced copepods, ostracods, and testate amoe> :
however, overall populations of microinvertebrates were increased because of
stimulation of protozoans and rotifers.
Macroinvertebrate data indicated variable population responses in the
different Cd treatments. At some sampling times, chironomid larvae were more
abundant in the Cd streams than in controls; but, during most of the study,
total macroinvertebrate biomass was reduced in the treated channels (Fi".
6.3).
Initially, 200 mosquito fish, Gambusia affinis, were released into each
channel. Recovery of dead fish indicated increased mortality in the 10 ppb
Cd treatment (55%) compared to the 5 ppb Cd treatment (23%) and controls
(21%) within 3 mo of the beginning of Cd inputs. Ho further attempt was made
to quantify the fish populations during this study.
Overall community metabolism was significantly lower in Cd-treated
streams throughout the period of Cd input, and showed quick recovery soun
after Cd input was stopped (Figs. 6.4a, b, and 6,5). The complete diurnel
oxygen change curves from the Cd streams are given in Appendix A. All
streams were autotrophic (P/R > 1), although the treated streams were less
so. Cadmium treatment also significantly lowered community export of organic
matter during this study with rapid recovery after treatments stopped (Figs.
6.4c and 6.5). Nutrient regeneration by microbial communities was signifi-
cantly reduced by Cd treatment as indicated by ".-sight loss in leaf litter
packs.
In summary, Cd input at concentrations of i and 10 ppb demonstrated
inhibitory effects In every trophic level examined, and yet was riot com-
pletely inhibitory to any biological parameter.
Bioconcentration
Cadmium uptake by the stream periphyton communities was rapid with
steady state levels reached within 50 days. Steady state levels were 3, 36,
and 58 yg Cd*g dry weight"* for control, 5, and 10 ppb Cd treatments.
When Cd inputs were turned off, peri phy ton Cd concert! rations dropped to con-
trol levels within 50 days.
Macrophyte uptake of Cd in the treated channels was much slower than for
the periphyton, with steady state concentration attained after 5 mo of con-
tinuous input. Root Cd concentrations were 3-4 X as high as leaf concentra-
tion in the two macrophytes examined. Whole plant averages were approxi-
mately 2, 75, and 150 pg Cd*g dry weight"1 for control, 5, and 10 ppb
Cd treatments.
48
-------
200
150-
C0NTR0L
5ppb
100
50-
.Cd ON
*»¦- .it*. .Jk*
1976
197?
SAMPLE DATE
Figure 6,2. DttrHai c*fi»f rcncobi a< birwar.s dining the ?2-mo
C •,~tH re-..- s 11 '<1;< . Vdu^, or\i o\t rjp^ljtcV f row i, lass
si u-ij, <*<. 11 cere les rot :ontr 0 ppu Cd»
a
-------
M
'g
3K
"8.
CD
0
05
UJ
'5
m
s
0£
w
>
Z
o
CC
o
<
2
0.0
M-
•Cd ON
M
-CONTROL
*3ppb
lOppti-
a s__j.
J I I I I L.
J L-L,
N ~ | J FM A MJ JASONOIJFMAMJJ
SAMPLE DATE
Figure 6,3. Biomass of roacroinvertebrates during the Cd-stream study.
Data are extrapolated from plate samples for control, 5
ppb Cd, and 10 ppb Cd.
50
-------
9
¦CONTROC
Ci 01
X £
Oppo
1ST?
197®
SAMPLE DftTE
Figure 6.4. << «x.««y cv • y,< >.< l.w. .lata during the
ud c. L « 1 -"i > v\ - . ! 5 ppb , -
51
-------
f
6.0
V
ei
*E
5
•o
ot
s
GROSS
&
3E
pNET
EXPORT
0,0
0
5
Cd CONCENTRATION (ppb)
figure 6,5. Summary graph cif system-level t-a meters measured in
artificial streams receiving continuous Cd inputs.
Point represent 1-yr averages for two replicate
streams at each treatment.'
52
-------
Mosquito f' ih >o<; > m\ "1 v 101 rwhzJ »rlcr 6 mo of up-
take. radi«iwii C'sicpfu r. t i lun , i'i t> *• r f».,\ vo«m, r2, 24, and 40
sig Cd'§ dr vreioH fo" < Mm? u. S, vd K i>ch t d -.^Mtreits.
No Cd
or wi v Hi
water
tiors in un
ccncPhtrjt
ma»ino] s.
Pound to be associated with the
. <_m -s' » T'orgf^rc
been due to biological uptake,
red water samples indicated an
^ 0 .i ppb i" t'u; ^ . ,(, <. t ii
«vnd In the stream;
•il kc 1i» fes Iras tho si**ear»>
Jv; cf Co com w.tra-
larage lowering of effective
Wd fl- ii> pph ih V>-"pb
SlKfAP HClS SIMULATIONS
General Model
An aqg? egated vdal «»f a •jtrvdiii ecosystem *,~<» .<>. i tor experimen-
tal ton wnb Loxrn and rcnv-.'m'ot i>^n¦ rul (where
h represents iit rogon} aew ti t» trjvi< wfti>d< i'ttvir.« - v.• i n 3 ccmpl leafed
biologtCiil system. lt=e !¦ ic k-cteal r.yste^ tc^t-x1 is o* str^.-ms in
low-slope areas with nedprrstG to rlcv "ur- nt VL^cit ie^, F-'-im.isy producers
include rwcrophytps (i c Jted plants, djl wrr| theiav.iunft1 ed H-r t pnyt i t
algae (Q?j. In this nwdel, i omuaer "ire 'urnped into o<». unit M4). All
unassimaiatfc1 and -kw mtv»>nol is r,fIo1 thromih the dwitaKmcrobial
storage (t^)„ which ir> winy 1 rocser, r-rp] cm rhment w,thi» f lit "O.niunity is
priiirelv from microbial !cion q5 1t 1 f'Vii,
K'.gure 6,7 is a .1 > ci . )*r »!rt.ids »1 ^he a 19<'i'i wurnty. Remain-
ing sunli-jht Jjr) i«t;crati< w [1 n * a^vr? iU) ?nd -3a1 bKrwss to contrib-
to gcocs ^«\.ttosv."!rr ^ff«Jt ¦ / ,\nk». -Sciiji; l?wl, is also
absorbed *>011, ^f'urien t, a v\»-! 1 »u~,~ • er pi^ -r n»oc;« h hi amass a«s the
Uniting suHstr*-tiA. tadr.ium If>:! fmn iN» al'.uia hy I°«iurati3fi and partic-
ulate los; tv eviwt, CvOSiine! 1;, (id'" tiotntus =
Citimiu.i to\Kir> ti> ui»« v if. us a dirtrt interac-
tive drain bv watei '"ri > f-rv^nir jt ton n? alqtu hiuRMS,, j«.r'1iqh* icts on
aloal Dii'Ra^s 1 h'Mii'ih phc^oicstjit it ,!nch mav -><;ve b?.n^ iimportant in the
shallow t'A '-irpe-ms,«
K ic;np[ • rc int**' ¦'f n^s* »>< icmtuf-i/ed hi "u;, ^ H, All flews are
analogoiit. tu *h.- 1 mhc a>?rcr t nj. 6. 1 except r.hat. no photores-
pffaticn i"»t t,iru..m was inch, it d -n ;!t» a^oir.~;;~n patnivav.
Iigtire ti.^ ;]lustt.u f> Uif- .-on^u.n^r «~'wii!ittit> in this model
stream ecosvst a. uinsuituM- 0,crr„^r /) ;> 1 o-«> y;, c I. "^erophytes, and
det f it'js-iru rotv1 , with semv ' 1 t (v> 'i-^tr»naJ asp^'litej and some last
di t eut i v 1.,"* « r'>'rn 1 i „ '>0 ind ' j t t"r< m thii storage by the
same "wchaniims itou^I ,ii m nrpd.ir,»r umtij, an" 01 t :> i011/ acts directly
as a drair v»t cir>.Dianass.
53
-------
EXPORT
IHI ! CSV
Cd
/V
SUN
Figure 8.6, Overall system model of Cd streams. Sunlight interacts with dissolved chemi-
cals to maintain complicated biological systems and Cd cycling. Each unit has
stimulative and toxic action of Cd (see details in Figs. 6.7-6.10). Computer*
program and rate constants are listed in Tables B.5-B.7,
-------
Q2 55 (1+- ^^)-KoQ2JR-KxQ2t}4-KpQ2-KuQ2-|-4(l2Cz
C? = f the ,7
' -- "• - •*" >':J iir< P; <»^ry > ^ >' » {ls) ^ ,'^t in
Computer pr'»jiyih * >< pate > u !pis are ii ' !r>'c* a.id—B.
55
-------
h * (K9N2JRq3)(l+ ^^)-KqQ3-KyQ3Q4-L2Q3-L5Q3Ca-K£Q3
k " KlQ3(K^)™CcKYQ3QrCC{L2Q3+L5%%^%%-CcKQ%
Figura 6.8. Detail of the Cd-stream model showing interaction of
macrophytic plant community. As with the alga.-, a stimu-
, latory effect of Cd is included (Lt), r(i'nputer progr.v
r arid rate constants are listed i n Tabl - 5-B .7.
56
-------
Q# = L9Q4(KxQ2+KyQ3+L6Q5)-KsQ4-LqQ42-LpQ4CA-KpQ42
C4 s L9Q4 (KxC2+KyC3+I-6C5)+*\]Q4 "K0C4"C0 (l-|Q#2+ipQ4cft)"Co C%%)
Figure 5,3. Pn^ril of iiodol -b-wirtg the ,?tj«rcqat?d
tviiruiPt-r s >t^i J. ~ i1- la ion ip through
bcst'i surface afi?,»*pUw ;nd *ee:linn Computer pmgram
and rate constants arc "Hr-ted in Tan»f«f p.s—3.7.
5?
-------
The last section of this stream model is diagramed in Fig. '•. The
storage of detritus and associated microbes (bacteria and fungi) is indicated
as Qsj, receiving inputs from all of the biological components in th*
Cadmum is taken up and lost as in the other components, but exerts Us toxic
action as a reduction of nutrient regeneration and metabolism of the
microbes. As shown in Fig. 6.7, the storage Q5 intercepts a portion of the
incoming sunlight and therefore, reduces regaining sunlight (JR) available
for photosynthesis.
The model shown in Fig. 6.6 represents a simplification of the actual
streams and yet is a very complex nonlinear model. Since the put cose of the
model simulations was to provide approximate data for the effect:. Cd con-
centrations not actually studied in the artificial streams to be used ir
example correlations of embodied energy and toxicity effect; exact fitting of
model output to actual data was not attempted. Instead, the model was simp-
lified whenever possible, while retaining both fate and effects of the toxin.
Simulations were made using a desk-top microcomputer and BASIC computer lan-
guage because of the immediate feedback between model and modeler. Slowness
of these simulations run at small time-step intervals was a disadvantage and
limited the goodness of fit between model results and actual measured data.
A complete list of the model storages, pathways, and parameters Is given
in Tables B.6 and B.7. A copy of the BASIC computer program used for the
simulations reported in this section is given in Table 8.6.
Parameterization
Although the model illustrated in Fig. 6.6 is a simplification of the
actual stream microcosms, it contains 39 constants that had to be estimated
from data collected during the Cd study or from published reports. Many of
these constants were not known exactly and in fact many may not. have wen
constant during the 2-yr successions! period. A discussion of the imis for
the choice of the model parameters is presented below.
Units-
Flows In the model were In the following units; pure energy, Cal {kilo-
gram calories); biomass, grams of dry weight (g dw); nitrogen, mg N; and Cd,
pg Cd. Rates are all on a per square meter per day basis {!rr<-*d~4).
Solar Input-
As seen in Fig. 6.6, solar energy is one of the two primary driving for-
ces included in the stream's model. For simplicity on the microcomputer,
solar input (J0) was simulated by a sine function with maximum f„i.'.'::i'jm
values of 6000 and 2720 Cal4m"2«d~l, respectively. Actual solar
energy at the channels was taken as 70% of these maximum values from averge
cloud cover data published for Columbia, South Carolina (MOM 19/6, 1977).
In the channels, remaining solar input
-------
Kb
EXPORT
I
L2+L5
DETRITUS
M1CRC .
% = L2%+KU,Q2,JR'fLB%2+L4Q2cA+L5%cA+LpQ4Cil|-!C5Q5 (l-LECft)-KRQ5
"f,
€g = Cc(12Q3+L5%caJ+cB ^uQ2JR+L#Q2cA)+K#5ffp§^)+cD
-------
Cal absorbed per gram of dry weight produced was calculated. Thus the con-
stants KA and KB were set equal to 143 Cal-g"1,
Mater Inflow—
Incoming water flow (JW) was constant and equal to 136,000 L*d~l.
This water contained N (Ml * 0.015 mg N't"1) and Cd (CI = variable with
0.023 yg Cd*L_1 as the background concentration).
Nitrogen Dynamics—
The total nitrogen concentration measured in the channel input water was
15.8 yg N*L"^ while the total phosphorus concentration was measured as
2.9 yg*L_1 giving a ratio by atoms of about 13:1. Since the optimal
ratio is generally considered to be 16:1, nitrogen may be slightly mors
limiting and was chosen as the nutrient to monitor in the model. ft few cal-
culations show the importance of this nutrient in the streams and conse-
quently in the model simulations. With a water input of 136,800 I'd"*
to each channel with 15,8 pg N-t"l and 56 m* surface area, we calcu-
late a nitrogen flow of 38.6 mg Actual net productivi-
ties measured in the channels during the second year of study were about 2,5
g dwm"2>d"!. This means, if ail of the f) was taken up in biomass
during each 24-hr period, the N content on a dry weight basis could have only
been about 1.5%, which is low for algae and plants (Odum 1973). Luxury
uptake of N in the dark is known (Ketchum 1954) but algae cannot take up N
from extremely dilute water. Therefore, the constants for K uptake, K4 for
algae and K6 for rracrophytes, were assumed to be 0,5% or 5 mg N*g dvr1.
The importance of nutrient cycling in these channels for maximizing produc-
tivity is immediately obvious from the above discussion.
Recycling of N was simplified in the model by the assumption that all M
remineralization was from the detrital-microbial storage
-------
JC - Ci-JH. (6.5)
Cadmium uptake by the biota was modeled as a hyperbolic Michael is-
Menton function;
FH - <•"«' (5-6'
PI = U^a!M (macrophytes) (6.7)
Fj = (consumers) (6.8)
FK = {detritus-microbes) (6.9)
llVJk " ivl IS
This uptake functir-n ha*. b-;en ob-ervfd for Cd with most biota studied
(see Section 4}. ilit- It-saturation cnt'st.^nt (KI) was set equal to 200 ug
CcH~ ¦ as u rou or ?arh of the four biological storages
was incI>jded in the not.'el ¦ • ?, Cd in C3, Cd in macrophytes; C4, W In
consumer:,; ard C5, Cd in diaritu'-nncrotes.
Loss of Cd fr«n each of those storages wis in two forms: 1. dissolved
Cd modeled 3% 4 simple linear 4echy; and 2. particulate Cd transport to other
storages. For the i d decay w> fV>t i: 1 in the artificial streams. For the
consumers, Cd ie<.a> kj. * as:
fO - KO'C# (6.12)
where a v.tlue of • u<-.-."icrobes, Cd decay was equal to:
01 = tl-CS (6.13}
with 11 = KL = 0,065 d"1. Cd was also remineralized In microbial
respiration:
FT - FG'CE (6,14)
where CE was the concentration of Cd In Q5 and wa^ >xiual to C5/Q5.
Cd loss in particulate form was simply calculated as g dw*m~2-d~*
multiplied times the Cd concentration in W a3«> (ug Cd*g dvrl) ¦
51
-------
Overall Cd flow In the channel water was equal to: •
F2 - JC + FL + FM + FO + FT + J1 - PK - FJ - FH - FI (6,15)
and Cd concentration In this stream water was calculated as:
. CA - g . .(6.16)
A1—-
The living algal component (Q2) of the periphyton (see Fig. 6.7) was
monitored separately because of its importance in the primary energy fixation
in the channels. The modeled relationship for gross primary production was:
F8 • K8-N2-JR-Q2. (6.17)
Algal respiration was equal to:
FD - KD-Q2MR __ {6.18}
where the JR term indicates the possibility of photoresplration in the
shallow streams. In addition the algal storage Is also drained by consumer
feeding:
by death to detritus:
arid by export:
FX * KX-Q2-Q4 (6,19)
FU = KU-Q2 (6,20)
FP = KP-Q2. (6.21)
The effect of Cd was modeled as both stimulatory at low concentrations:
J8 - (6.22)
and as a toxic drain on biomass:
J4 ¦ L4-Q2-CA. * (8,23)
The constants in the above relationships (K8, K0S KX, KU, KP» IS, LU, and
14) were all adjusted by an initial approximation and then simulation runs to
fit model output to observed alga] biomass patterns.
Microphytes—
The aquatic macrophyte population (Q3) is illustrated in Fig. 6.8. All
flows are analagous to the algal flows except that respiration;
FE » KE-Q3 . . (6.24)
62
-------
had no-sunlight component. Table 8,6 lists the details of th« •. flows,
Once again constants governing macrort.. V s,i»iv adjusted by
simulations to fit observed blomass changes in tSt* .v* i hm screams.
Consumers—•
Details of the urj.t • v. -orient } - the stream model are shown in
Fig, 6,9, Consumers ;
on macrophytes:
and on detritus-microbes;
FX = KX'Q2-Q4 (6.25)
FY « KY-Q3-Q4 (6,26}
J6 = L6-Q5-Q4. (6,27)
Assimilation efficiency was assumed to be 30?
J9 - L9-(FX + FY + J6) (6,281
where L3 = 0*3, The remainder of the ingested food was returned to the
detritus-microbes;
JK = FX + Ff + J6 - J9. (6.29)
Losses from the consumers were respiration;
FF - KF-Q42 (6,30)
with a square term to indicate predation or crowd! ?cts; death to
detritus:
JB « LB-Q4 (6.31)
and export;
FS = KS-Q4. (6,32)
Ccl toxicity was rac as an interactive drain:
JP « LP-Q4-CA. (6.33)
Once again the constants listed above (KX, KY, 16, KF, LB, KS, and LP)
were approximated and then adjusted to give realistic output.
Qetrituv^M > ;K»; -
I lit* UK r« nVw (Q5) is must, h ,3 t" fig, 6,10. These
two fiO?'Uun: -'T str ~ s-R'-iM comprise the te * portion of the
peri.JhViO'i ' . -.."ift |wi' ^ Hv remainder coni|K - -1 - living algae).
§3
-------
Detritus and microbes may be conveniently modeled together because of their
intimate association.
Inputs to Q5 were mentioned in the preceding paragraphs. The two major
drains on 05 are export:
PR = KR-Q5 {6.34}
and respiration;
FS = KG*Q5*(1 - LE'CA). (6.35}
As seen in equation 6.35, Cd toxicity to the detritus-microbes 1s a nega-
tive interaction with respiration ana nutrient remineralization. This formu-
lation is consistent with actual stream data for leaf litter packs (Giesy et
al. 1979),
Parameter Approximation—
In order to approximate the unmeasured constants discussed above, a
"steady state" period of the artificial streams succession was evaluated,
figure 6,11 illustrates the four biomass storages with inputs and outputs of
dry weight for data from September 1976 when little net growth was observed.
Bicmass values, total net production and respiration, and export values were
known. Gross productivity was partitioned between the algae ami macrophytes
as shown. The partition of respiration was also based on assumptions. Total
export at this time was assumed to be twice the measured value or 3 a
dwm~'*d"l. This number divided by the total biosass of 210 g dwm"*
gives the export constants of 0.014
-------
algae
FD»
IKD-9.6 * I#1
.EXPORT
PRODUCTIVITY -- FB • &0
(K8»
* 11 ,ii>rar>< for iVor liioKiijir.il
stor,u.icr< •'n Ct stiv,nodf 1. r\ita frnra
^ptembvr Wi wre used ta app?u:nmcit e
stead'/ strife t"1 owf -r p.i-jun^i -.flinia-
t ion, -re m n i1w*rt'l>;
11 ovi s i sri ^ *d" *; -tnd
constar?t, in q<* -tnth^sc5. hsv? variable
units listed in Table 8,7,
65
-------
S3
* 30 *
9*
< 20-
3
< 10 -
»
fiso
=so
j 1
a 1 J F MA MJ J A SO N Fj
1976
FM AMJ
1977
SAMPLE DATE
Figure 6.12, Stream model simulation results for algal
and detrual-mi crobiai biornasses at con-
trol Cd concentration • of 0.023 ug Cd*L"l.
Solid lines are simulation results and
dots are measured data from Figs. 6,1 and
6.2.
66
-------
dnf no* ovt"-;ap. Im>-
"> .Vifyi'sT * tCt"
port to the measured data. Figure 6.
microphyte and macroinvertebrate bio
ting an Increase observed for macroph;
te n1 node! was .tpptx-';-
aay [.t-M'J .!. fn the <¦' i s^tp 11» "Hi.,-
,t r> i , ( «( >r j i-.tK >'Sf"'Ofl 1"
itplex forcing function with this same
, t i ; lil>« I <51 I
at Ion
concentv: imKj j*p!i !
i in mo:'.!orti , <• nh*¦>' i pq
* ' ' it i il'. - t >•
rates were also estimated frou
"Iciliated fran these values for
I ^ f lifea Wet c t H t
ntrol streams)
dw"-"-,
p-'^>»3nte-! * j''! 'er
}X-
a half-saturation
;' i .,-tiy i.o improve
control simulation run prefl
Cd cor
lyrik i jr
facias? tnpiit *n tH<-" • "<$ reqi
I ate>iif fit s, " "inn > ;tn»v.r t\ * m o o4" t"
time reached 136 days (March 18, 1376),
-ifeVutiK1 v 'r-'-npnt ut ^ |.r *-.imf v»,»' ,~r,
to, lli/') 11 f -t i.'t «¦ v<< *Jit> er^r r
,.»xr rr ti »r-M
Cd streams were used to calibrate the toxic-
LP, . The constants LS
..ict of Cd o
¦ fit rc '),r> ,'
-------
/
N 0 ' J F M \ •* l.J A SO MO'JFMAMJ J
1= ' 1377
SAMPLE DATE
Figure 6.13, Stream model simulation results for gross
production, cot mity t c.*soiration, and
export at control Cd concentration of 0.023
yg UrL"1. Solid lines are simulation
results and dots are measured data from Fig.
8.4,
68
-------
(.31-
j i * r *s % t r n * i r j i * r f r ?
1976 19??
SAMPLE BATE
Figure 6,14, jtrvjun modtl si^rjl u tt.fcril,e a. i m?cr'ip(iyi > amma^^s at con-
I "(I •.iMueitf «t ion ot* 0.1)22 uj Cd L"-.
,u »i1 Mne*; sirmii (tu>K results and Jots
fj'-f menM-r:n oati trmn Tig, ..,3 and the
69
-------
-oaoM-
% m~
"S 3D -
20-
//
i. ISO
Id
US
CO
$977
1976
SAMPLE DATE •
Figure 6.15. Stream model simulation results for algal
and detrital-microbial biomasses at 5 and
10 ppb Cd input levels. Solid and dotted
lines are simulation results for 5 and 10
ppb Cd, and circles arid triangles are
measured values for 5 and 10 ppb Cd from
Fig. 6.1 and 6.2.
70
-------
151
U3
sC
m *
Ui **
ON-
a 5 «
fi-J-4==£«==
sf;
«
<
Sf°
"i
#
N D'JF M A M J J 4 5
1976 I3T7
SAMPLE DATE
fi'.J1,ire 6.16,
.. _ if" „ . „
5
71
-------
»t-
3 -
¦ca on
6
« ON-
197?
1976
SAMPLE DATE
Figure 6.1?. Stream model simulation results for gross
production,, community respiration, and
export at 5 and 10 ppb Cd input levels*
Solid and dotted lines are simulation
results for 5 and 10 ppb Cd, and circles
and triangles are measured values for 5 and
10 ppb Cd from Fig. 6,4,
72
-------
D.vnriMKi-
Th® dynnmi :s or C'i tjncrjt i i,j 'ri r*« venous i^olo^pcal storages ms
mom tire1 in the mortal «; ip«i» i a*. ¦?,•> cnr i omp,n f *-*n 1 o fbt* actual J-.ita.
St,f«<1v 3tote >:yoLi-.iril iti'-s c* »¦< in the >r . w<§ler concentration of 5
ppb Cc v»pte, l« *"cj•, rsctrrc.pfsvf--,, \>0 "rrrumtt ?, 33, arc! dotfi-ric~
rcops , in jus Co • ] dr!. r.>r Jn« JO p. b ,'cl recent rxcion,
r (otic, r«J concord raTiour. '*< 1t\ au;-ic, SO, .ikk»\>. f vtv >, 'Ju, Tonsurors, 40; arid
d*?trit-is-~i cr.tf e< , !*8 n<4 fd-f, aw"1-, Th ^ row>t? fa, jr.^b' y utb U>e
VotuPi-, presented >*>.ir! ~er if .Mr; n- t > (i;s.
The stream model pr ovi !t- ; a r.rsive-m ont mean?. j? .rmmarization of the
fate of Ccf ifi th? ?qy it :e shyster « pfkiuse o>ll f1 of the metal 4»-e
accounted for. fiyye 6.JH illtr' -i,..;. (he major C-1 f'owi arri storages pre-
dicted by tne n-oaei at tin- Cd -ow entrati o.is. at tually testoo during
rt.eddv state orwii tion: jcJ m-»r .i I -vr p^iod), All f1 ow-~ arf in
r.J-a"and storages are in pg Cu*m" , :a itode' p • •¦iieied an average
lowering or water Cd con>vi»i.rcit ior> of »1. I ppb us th^ Li pob Cd channels, cind
0.2 ppb In the 10 pph Cd chdnrels. The^e '/al.^es wrrc slightly ?i.'«l l was in »m M.icdate fori. A] i-o,
the model indicated thai n»t jre the effects of
other Cd fand.i«?ns ^vsteir d^namn >mJ prediction of
toKin effect over t f:.ntje ol C'f iwncentnc'c^ nutsid? the ores actuaily
studied.
Toxicity cunct1o,is—
Particolsr airi >ias direoret! toward th-v orcyrrenre ct stimulatory
effects ar 'ow Ct! con:eitr-->t'!^i-;. The rail.il as present,?d in Fig. 6.6
Indicates 3 direct stlwtlalory {limiting faci.n) rr»le in pripary production.
A question t ~ by aiKwer^d is vd fo»- a series cf Cd cnticentrat ions '*onqin-] from
bdekgrouna fo pp<> Ui with the rtiirtul^ory c m>iarts IS and LT e^udl t>
zero. No :t '"mulacion uf oroductivity v*;.s founn. Tfiis may '.:e due to the sim-
plicity ot* mrdrfi in s of ocpn) ar ion g-oirth :h.iracto>-i sties or simply
a prediction tnat no siimultitton w»>u 1 d have b»5en observed i«i these systems.
However, for the ccrelatson ot iifftotiied e:terov and enetq,v effect in
the ne>t -.ieit io?i, the stimnuitory cffees mj added to the iwrnt:! with LS and
LT equal Hi 0 U?5.
Cd To,—
The predicted respot^e o
concentrations is or^sei*j.d i
tions artu. ; 'y U icm< d ar^ sh
6.6-6.!'), 'He sti ivd^'! pr^
71
j «j
e>'n-levc>1 par ar M.«rs to a wide "-an ;»> of Cd
h. 19. Thw iiaca froi? the three roncentra-
r c>>nif»ason. prfrentt»d in Figs,
rnav,rrt'iin enhdnre/^ii i>f stredm metabolism
-------
DISSOLVED
m
ESS*
CO 23)
FIXED
Cd
2S4
OSSO-VED
" Cd
OUTWT
PARTICULATE
Cd
OUTPUT
DISSOLVED
Cd
INPUT
C5D}
DISSOLVED.
Ct!
INPUT
mm
DISSOLVED^! 24,15?
12.059 , DISSOLVED
* Cd
OUTPUT
PARTICULATE
Cd
OUTPUT
.DISSOLVED
at
OUTPUT
PARTICULATE
Cd
OUTPUT
Figure 6.18. Overview of Cd fate in artificial
streams from model output. Values are
averages over a 1-yr period. Storages
are in ug Cd«nT2, flows are in yg Cd-m"-
and concentrations Jn oarentheses) are
in ug Cd-L"1.
74
-------
5
4
3
ROSS PRODUCTION
2
I
0
20 »
C.".0MIUM CONCENTF-:.'TION Cppb)
Figure 6,19, Average gross productivity, respiration, and export
values during 1 yr of continuous Cd input predict®! by
stream model for Cd concentrations up to 50 ppb. mea-
sured data from Cd streams are indicated by dashed lines
for com) ison.
75
-------
at a Cd concentration of 0.5 ppb. These predicted data may now be used for -
Illustration In the calculation of energy effect of Cd in the next
section.
EMBODIED ENERGY AND CONTROL
Quality Factors
The calibrated Cd-streams model facilitates calculation of
factors for analysis of the amplifier effect by toxins on system
flow.
The entire energy Income of the Cd streams must be krio-./n In order to
calculate ratios of energy transformation (qua!ity facial s). If ws c^rmdsr
the situation in natural streams, we can appreciate the eff>:! of rnor^v con-
centration in the maintenance of a stream. Not only fs enrvyy nvoivw
directly from the sun, but energy is also concentrated from indirect vmirces
such as runoff from the watershed, which creates the stream flow ano struc-
ture, In the Cd streams this flow and structure were added to th- interring
sunlight from human energies and fossil fuel work. These additional fioigies
can only be estimated, and although errors in their calculation mv iftoct
the magnitude of the numbers reported, the qualitative results remain f,p
-------
The tot.jI energy contributor) to t?«e stress i„ the sum of trie three
factors hste-i aooyc In oqm valont one^iy quality tri* ^ ooo *s ^qurl to
32,298 5.1, Ul r *»nf.for»tatiCJ! rot ins Have l~ ^
calculated using yearly i^-agp* from t*? stre-an mcael and the t.nal energy
Hoot gtvert rbnve^ £ conversion factor of 4 'al-o dry woiyhfJ v.as
used to convert the biomaas units to energy utiils, These values ore listed
in Table 8.1.
Energy Quality—Energy Effect Correlation
The Cd-streams model *d»> simo ate, at •- CJ, Ywly a/eratjo0- or gross produc-
tivity, respiration, export, alia-i, maer^jihyfes, crmsiimert, and detntus-
microbes were calculated for iiMlyjis oi the effect of Ctl cn components of
varying ertergv quality, Ihe. cral;oo*.
Cadmium transfunuation ratio was ca!cui at erf for the different concentra-
tions simulated in the stream mode!, As 4 base!trie, the trarisformationTratio
of pure Cd calculated for the industrial process in Section 1 (4.6 x 10'
S.E. Cal*g Cd~*) was «i>eci. Using :he solubility of CdClg 1 n water
(1400 g CdCl2"L~ *) from Hafioons et at* (1 ^78), a water concentration
of 8,6 x IEP ppb Cd (saturate!) was as-iawl to have a trans Format! on ratio
equal to pure'Cd* The lowest concent rat, ion or Cd noma "My found in water is
approximately 0,02 ppb, and the free energy change between these^two Cd con-
centrations was calculated usiikj gqintirn 6.38 as 0.13 Cal *3 Cd"*,
Dividing this value into 4.6 x i0/ S.E. Cal *y Cd"* gives the trans-
formation ratio of pure Cd on a Cal per Ca1 basis of 3.5 x 18® S.E.
oal"Cal"1.
In order to calculate the transforation ratio of Cd at any other water
Cd concertrat:on, tne free energy change between the saturated solution and
the given concentrot ion must faf; calculated.( ror example, at 10 pnn Cd, the
free energy,Chang? is A'i =. -0,097 Cal-.j feT^. This value is multiplied
oy 3.5 < i(^ S.E. Cal -Cal"' to yivo the eharioo its transformation
ratio going frnm the saturated Cd solution to a less concentrated one. for
10 ppb Cd tnis chdnot ^qual> -3.4 x 10' i.L, Cal -g Co"*, This value
is subtracted iron 4 o , $*i< Cal •>) Ccl""1 to give the transforma-
tion ratio of Cd at 10 ppb, or
TRCd, 10 ppb = 1.2 X 10? S.E, Cal*g Cd'l.
These calculations of unbodied enoniy of Cd were combined with calcu-
lations of energy effect from data predicted o> the stream model. figure
6.20 presents the correlation diagrams for the system-level parameters and
for the biological storages, fill of the parameters except the macrophyte
storage showed firsc a positive, then a neqativt>, and finally zero correla-
tion between these two parameters. Positive correlations between Cd trans-
formation ratio and energy effect were generally found at concentrations
below 0.1 ppb Cd. Figure 6.20 also indicates that as a biological control-
77
-------
TABLE 6.1. tfit"RGY TRANSFORMATION RATIOS FOR MAJOR STORAGES AND HOWS IN CD-STREAMS MODEL.
EflFRGY VALUES ARE DERIVED FROM DRY WEIGHT VALUES USING 1 HE FACTOR 4 CAL = 1 G
DRV WEIGHT. TOTAL ENERGY INPUT TO STREAMS fAKEN AS 32,298 S.r. CAL'M"2'D_1
AHO GROWTH TIMES OF STORAGES TAKEN FROM MODEL SIMULATION DATA. ALL DATA USED
ARE FROM CONTROL STREAM SIMULATION (0.023 PPB CD)
Flow or Storage
Average Value
Actual Energy
Cal*nf
Energy
Transformation Ratio
S.E. Cal-Cal"1
Gross production
4,2! g d.w.*nf2*d~l
16*8
1923
Community respiration
2.51 9 d.w. •nT2'd'"1
10.0
3217
Export
1.52 g d.w.•m~2,d~1
6.1
5312
Algae ((fe)
21.4 § d.w.-m"2
2,la
15,093
Macrophytes (Q3)
8.06 g d.w.'nf2
0.161^
2.0 x 105
Consumers {Q4)
0.70 g d.w.'m"2
0.014b
2.3 x 106
Detritus-Microbes (Q5)
159.0 g d.w.'m"2
3.18b
10,157
aCharge-up time to steady state biomass was estimated as 40 days.
bCharge-up time to steady state biomass was estimated as 200 days.
-------
GROSS PRODUCTION
P
^ — 2
0
RESPIRATION
DETRITUS-MICROBES
suo
CONSUMERS
V MACROPHYTES
ty
14
rRAN'v-i;OMAT:rN R&rio
(S.E. Cai-q Of1* 10*1
Figure 6.20, Pr§J4i^:r' betw»vn Cd formatrat 1c* *
Cci > >u>f >' ^ rect i ufio for • vbt.-vt-Vv^l -'\ . V ¦ 11, ^ are valcuM«c» > r< -« ;
oT ct 1 nu* it.krvi d 3 to From C d** b cr^dins inudp-a
79
-------
1er, Cd has little marginal effect above a transformation ratio of 16 x 10®
S.E. Cal *g Cd"l {100 ppb Cd).
The actual values of the two parameters in Fig. 6.20 show an order-of-
iragnitude comparison between energy effect and transformation ratio of a
controller like Cd, Given the assumptions upon which these calculations were
made, this result is encouraging. Notice that the storages have a much
higher energy effect than the system parameters. The significance of this
finding may be that selection is taking place for maximizing metabolism
rather than storage as discussed in Section 4,
The results presented in Fig. 6.20 are model predictions and, therefore,
only as accurate as the model is an accurate description of the real Cd
streams. A second qualifier of this simulation data (and the actual data,
too) is that the streams were still in a successional state during the period
of Cd inputs.
Actual stream systems that are capable of steady state growth popula-
tions may have much tighter correlations between the transformation ratio of
Cd (its cost to the system) and the energy effect of Cd {its ability to con-
trol the system). If these correlations are found to be consistent in other
systems and with other controllers, embodied energy of a controller may be
calculated from its effect and vice versa. Widely different studies of
toxicity effect could be compared using embodied energy values. Studies of
several seemingly unique toxins may be comparable if their embodied energy
content is known. The idea of toxin effect being a direct function of energy
cist may allow a needed synthesis of information in dealing with the modern
world's increasing toxic wastes. The recognition of the stfsnulatory role of
naturally occurring chemicals in biological systems greatly broadens our
theoretical understanding of the world's processes and allows a more finely
tuned control of our life-support systems.
80
-------
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85
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APPENDIX A
DIURNAL OXYGEN CURVES
86
-------
CONTROL
IOPPB
r— CONTROL
5PPB
Q 0
iOPPB
2400
0800
1800
2400
TIME
Figure A.l. Diurnal oxygen ch
1976, for six exp
ing Cd inputs.
is from June 30,
streams- receiv-
es 7
-------
CONTROL
IQ Pro
CONTROL
I0PPB
10000
tft
£
"g
o
u
B 5000-
x
o
2400
0600
1200
NOON
TIME
1800
2400
Figure A.2. Diurnal oxygen change curves from July 28,
1976, for six experimental streams receiving
Cd inputs.
88
-------
I-CONTROL
£ o
- IOPPB
o
CONTROL
5PPB
10 PI
m
m
5000
2400
0800
1200
2400
1800
NOON
TIME
Figure A.3. Diurnal oxygen change curves from September
23, 1376, for six Dxptrimental streams
receiving Cd inputs
89
-------
3
2
i
0
2
i
0
2
!
0
4
3
2
i
o
2
0
I
0
-f
CONTROL
CONTROL
IOPPB
>400
0600
I2C0
NOON
TIME
1800
2400
.,4, Diurnal oxygen chanae curves from October
20, 1976, for six experimental streams
receivinq Cd inputs.
90
-------
OJ 0
5PP8
CONTROL
5PP8
v>
V5000
o
2400 0600
1200
1800
240 0
MQOM
TIME
figure A,5. 0<". o-sl «««« change curves from
ito .'itTiter J 976, for six experimental
ing Cd inputs.
91
-------
I -
'is _
eM 0
it 1
go
s2
* 1
I '
0
1
CONTROL
- 5PPB
10PPS
- CONTROL
1 -
8
5000
X
o
~
y* » *•
. 5PP8
—4—
-
- I0PPB
m
2400
0600
1200
NOON
1800
TIME
Figure A.6, Diurnal oxygen change curves from February
9, 1377, for six experimental streams
receiving Cd inputs.
92
-------
:ONTROL
:OPPS
CONTROL
5P!
IOPP1
*600
2400
0600
1200
NOON
TIME
Figure A.7. Diurnal oxygen change curves from March
16—17, 1977, fur six experimental streams
receiving Cd inputs.
93
-------
if- CONTROL
tOPPB
CONTROL
2400
0600
1200
NOON
TIME
1800
2400
Figure A.8. Diurnal oxygen change curves from April 29,
1977, for six experimental streams previously
receiving Cd inputs.
94
-------
CONTROL
i - 5rPB
1200
NOON
BOO
l.400
0600
1200
NOON
TIME
figure A.3. CHurrt*1 oxygen chame rnrves from May
1, 1977, for ' Mvrimental
• previously >v sr, ng Cd Inputs,
95
-------
3
2
I
0
2
I
0
2
I
0
2
I
0
2
I
0
!
0
-I
- CONTROL
~ IO Pro
- CONTROL
/
2400
0600
1200
NOON
TIME
WO 2400
e A.10. Diurnal oxygen change curves from July 6,
1977, for six experimental streams previously
receiving Cd inputs.
96
-------
APPENDIX 8
COMPUTER PROGRAMS
97
-------
TABLE B.l. COMPUTER MODEL IN BASIC USED TO SIMULATE MIMMODEL
ILLUSTRATED•IN FIG. 4.14
18 PLOT 23#18
28 PLOT 12
30 J=±
40 DT=1/J
58 ND=25
60 5=10
70 Q=1000
80 TX=. 1.
98 K±=. 081
100 K2=lE-5
113 K3~, 85
200
210 1=0
220 P=K1*0*S
230 R=K2*Q*Q
240 JX»K3*Q*TX
25® Q-Q+DT+CP-R-JX)
260 IF Q<0 TM£N 0-0
270 1=1+1
280 IF I=J GOTO 300
290 GOTO 229
300 T=T+1
310 IF T«WD GOTO 858
315 GOTO 210
328 PLOT 29,18
330 PLOT 29,22
248 PLOT 2, T, Q/15, 255
258 PLOT 29,18
260 PLOT 2, T, P, 255
376 PLOT 29.. 1?
380 PLOT 2., T, JX, 255
860 GOTO 219
859 PLOT 29/18
860 PLOT 2, TX*10, Q/10, 255
864 PRINT TX, G, P, R, JX
870 TX-TX+. 5
889 IF TX>10 GOTO 999
890 GOTO 208
999 PLOT 29/18
1000 END
98
-------
TABLE 8.H. COMI\ TtR mt\ IN BASIC USED TO'SIMULATE MIMIHODEL
III 'J'ITSAI tD IN FIG. 4.15
10 PLOT 29/IB
20 PLOT 12
38 J»1
40 OT =1/J
58 »=5i
55 TX-. 1
68 J0»4000
62 JR-2000
64 M=2&m
70 Q=i000
yw -1=5.. 52E-5
100 K2=iE-5
110 K2= 011
=2
0
--0
210 1=@
212 JR=J§~JK
214 IF JR<0 1
220 P=K1*JR* C4*TX?*Q
220 R=K2*Q*Q
240 jx=k2 f .:y t t;i > E:iP<-K4*ix:i*Q
25® Q=Q+D"r-> • c *K'•
260 IF CK0 TUFM 0-0
?-c ir i3t o j,09
312 IF SCI GOTO 218
~\5 "" 01 0
316 PRINT T, Qi P, R, JX
~rv '£> I'*-
330 PLOT 29,22
340 PLOT 2,T,9/15. 255
359 PLOT 23,18
8©8 GOTO 208
85® PLOT 29,18
3, 255 •
B64 PF'.M ' S. >*. P. .X
870 JK=TH+, 5
§80 IF TK">10 GOTO 999
890 GOTO 6®
993 PLOT 23,13
i&.'M END
99
-------
TABLE B.3. COMPUTER MODEL IN BASIC USED TO SIMULATE MINIMODEL
ILLUSTRATED IN PIS. 4.16,
10 PLOT 23>18
28 PLOT 12
25 PLOT 2, 252, 9, 0, 242, 0,131,159,131,153, 8, 0, 0, 255
30 J=t
40 DT=i/J
50 ND=50
55 TX=. 01
70 Q=50
75 N-2i
80 N0-2
85 Kl=±E-2 830 IF TX>1G GOTO
87 K2=5E-2 830 GOTO 70
89 K3=5E-6 993 PLOT 29,18
91 K4=iE~4 1060 END
93 K5«. 1
95 KG—4. 9E-S
37 K?-, 05
98 K8SK2/K1
208 T=0
208 5=0
218 1=8
220 P=K1+Q*N
222 R=K2*Q*G
224 N1"K3*G*N
226 N2=K8*«1+R>
228 N3=K5*N
230 J1=K?*Q#TX
250 GM3+DT*
252 N=N+DT*<:N0+N2-N1-N3>
260 IF CK0 THEM Q=0
262 IF MC0 THEM
278 1=1+1
288 IF 1-J GOTO 300
239 GOTO 220
208 T=T+1
310 IF T=ND GOTO 858
311 S=S+. 2
212 IF Sd GOTO 218
314 PLOT S
315 PRINT 1, Q, N> P, R
329 PLOT 29»18
328 PLOT 23, 22
248 PLOT 2, T, Q, 255
359 PLOT 29,13
S80 GOTO 288
850 PLOT 29,18
868 PLOT 2, TX+10, P*10, 255
864 PRINT TX, Q, H, P, R
878 TK=TX+, 5 . .
100
-------
TABLE B.4. COMPUTER MODEL IN BALTIC USED TO SIMULATE MINIMODEL
ILLUSTRATED IN FIG. 4.21
18
20 BT=1/J
30 C8= 0091
41
58 ND=10
60 M-4BBB
70 JR=3000
8i
30 R=±£-4
108 RT=2*B/R
118 N=i
120 Ci=20
138 K2=t§®
140 ftSBK2*Cl
•fiy
163 IC1-3 33E-3
170 K2-S, OE-3
180 K4=3, 32E-5
ISO K5= 05
208 Kb- OK
218 K7- 005
228 KS-, 0i35
228 K9~ 03
240 07
2P0 KB=, 01
ZfM KC=. 01
270 KF=1
280 KG=J.»T<
230 KE'2/R
380 I
210 F1-K1'R-jR
1S0 F2=--K2*e+J^
21Q *+=K4*B*JR
340 fS^kb-+B
200 F6=K€+B
F£»=M:<+ri+LO
370 F7-K2*F?
380 F8=KZ*F9
33Q F < F2-F5 ) /R
400 Ffl-r'i'I w**i
410 FP=kI*K.H
420 FOK^FR
430 0 ~ F 7 - F 0 > +•¦ F 3- F C >
440 FE=KE"'h, V'f:.
450 FF=KF^r,tF6
460 FG-KG+*F6
470 vs= es
480 JR= '0-Fj.
490 D~&»XTr'.FZ-F5-F6>
600
610
500 Cl=Cl+M-t
510 ft.~B+DT-*»FC~P?~FE+Fl>
520 P^-RS+DT* 3 IF P<8 THCN M=8
5rjd !F *S<0 THEM FlS-0
¦390 IF ftKO THEN RT=9
1 = 1+1
IF I=J GOTO 630
620 GOTO 318
t.lb T=T*1
*40 IF 1 =MD GOTO 668
658 GOTO 300
r'SO PLOT 23,< IS
670 PLOT 2/CO+IOOj C/ii? 255
em PLOT £9,18
€90 PLOT 11
7t)0 PRINT CO, C
710 C0«C®+. 005
728 IF C9=l GOTO 999
730 GOTO 40
999 PLOT 29, IS
1008 EN'D
10!
-------
BLE B.5. COMPUTER MODEL IN BASIC USED TO SIMULATE CD-STREAMS.
THIS MODEL IS ILLUSTRATED IN FIGS. 6.6-6.10,
1 CLERR (580)
10 PLOT 23-18
20 PLOT 12
30 PLOT Z> 253/ 0,0.242,0,191,159,19L159,8* 8» 0,255
31 GGSUB 2609
32 PLOT 4
35 WJ
40 J=1
50 DT=¥/J
55 NT=DT
60 NO=600
78 S=S00
75 Tl=8
76 T2=8
77 T3=0
78 NZ=0
79 B2*0
80 T4~0
102 J0=3442
104 JR=3800
106 JH=2442.8fi
108 Ni=. 815
109 22s. 023
110 Cl=. 023
112 Q2=. 1
114 03=1
116 Q4=. 1
118 05= 1
128 N2=. 915
124 C2=Q2
126 C3=Q2
128 C4=Q4
130 C5=Q5
132 CR=. 823 "
134 CB=i
136 CC=1
135 CD=i
140 CE=i
141 C2=. 023
142 Fl=36. 64
144 F2=56. 2
152 F1-. 049
154 FJ». 018
156 FK» 036
158 FL- 061
168 FM=. 0826
164 F0= 4
174 FX* 9001
173 FE=, ®03
102
-------
TABLE 8,5. (CONTINUED)
176 FD». 125
177 J4=8
178 J5=i
188 JP*8
212 Ki=208
204 K2=. 136
21® K4=5
214 KS=5
216 K8®. 095
218 K3=. 0024
228 W=143
222 m=im
224 KC= 003
226 M-5
228 KEc 118
22§ KF*. §2
232 KG= 80812
234 KM»iS§
236 KI-108
238 KJ=8
240 KK=8®
242 KL= 145
244' KM=. §2
248 K0= 1055
250 KP*. 8«8
252 W
254 KR«KP
256 ICS*
2« WtSs 16
266 KX- §027
268 K¥~ 0015
272 Ll= 065
274 12= 82
27'- t 4'.* 103
288 i5» 8015
282 LS= §087
286 L8=K6
288 LS». 3
289 IP». 818
296 Lfl=. 136
291 LB=. 115
293 IE- 8i
233 15®, 825
a
302 LU=. 2
m t=8
310 1=8
320 J®=C4268+iS4i»SINCCC6. 28>/265>«KS-88» >*. 7
132 JN=N3L*JH
324 JC=C1*JW
336 F8"K8*N2*JR*Q2
228 F9«K9*N2*JR*a3
333 FD=KD*82*JR
341 FE=KE#S3
103
-------
TABLE 8.5.
{CONTINUED}
342
F4=K4*(F9-FE>
342
IF F4<0 THEM F4=0
350
F&4C6*CF8~H>>
251
IF F€<8 THEN F6=8
3SS
FB=Kft*P8
358
F8=K6#f9
360
FOKC*Q5*JR
J66
Ff=XF»t«4*Q4
m
FG«KG*05*(l-L£*Cfl>
377
IF FGFY
410
JM2*«
412
J3*CC*«4
432
JB=CD«
458
GP=F8+JS+F9+JT
4®
RT=FD+FE+FF+FG
508
Q2=Q2"H)T * < F8+JS-FO-R-FP-FU-
i)
510
03=63+0T*(F5+JT-FO-FV-J2-FE-
5)
520
64^4+OT* (J9-FS-JB-FF-JP)
530
Q5=Q5+DT*< J2+FU+JB+JK-FR-FG+
N-J5+J4-J6)
521
IF Q2<8 THEN 02=8. 01
532
IF Q3C8 THEN 03=0, 01
533
IF 94<0 THEN 04=0. @1
104
-------
TABLE B.5. {CONTINUED)
S34 IF Q5CB THE! 95*8. 81
541 flZ>KJ«flZ*0*
549 FK=K'K«*«
350 CB=C2/t2
531 FL=Kl*t2
552 CC=C2/13
553 Fmmm
554 C«4/ft4
555 fQ=K0*C4
556 CE=C5/85
55? J 1=4.1*05
558 Pi=JN#JS~f4~f€
559 F2=JC+FL+Fl+fO+F1'+Ji-FK-FI-fH-FI
562 IF Fice THEN Fl=8
566 IF F2CI TH® F2=i
570 C2=C2+NT#583 THEM 6010 61®
585 NZ-NZ*i
590 Ti«fiP+Ti
595 TSH?r+T2
600 T3=F3+T3
685 T4=Ji+T4
618 1=1+1.
628 IF I«JT GOTO 640
630 GOTO S2M
648 T»T+V
650 S=S+¥
652 IF T>138 THEM C1=ZZ
€53 IF T>5i3 THEN Cl«. 823
660 IF DM> GOTO 885
£38 PLOT 29,18
715 TG=T/5
719
PLOT
8
720
PLOT
29,18
?4i
PLOT
2, T6, 75+J0/150# 255
750
PLOT
as 122
755
PLOT
2, T(L 2*02,255
768
PLOT
23,1?
765
PLOT
2, T(L m, 255
778
PLOT
29/50
775
PLOT
2. TG. 05/2/ 255
782
PLOT
23,18
105
-------
TABLE B.5. (CONTINUED)
?m plqT 2j TOj 34*1.0,235
78b BZ=BZ+1
78? IF BZ<6 THEN GOTO 809
788 Q= : F=4 : GOSUB 5088
3068 Q*CE : F«5 ; GOSUB 5800
3870 RETURN
5089 REM PLOTTING ROUTINE FOR PRINTER
5010 0=INTCQ)
5020 IF Q<2 THEN Q=2
5030 IF 8>89 THEN Q=80
5040 ZS^niDSCFi.. F, 1)
5050 P^EFTJCRS, 8-l)+Z$+RIGHT#CP$/ 8&-Q)
5060 RETURN
106
-------
TABLE 5.6. LIST Of PARAMETERS WITH DESCRIPTIONS AND EQUATIONS FOR CD-STREAMS MODEL ILLUSTRATED
IN FIGS. 6.6-6.10
Model Parameter Description Equation
CI
Dissolved nitrogen in periphyton
layer
N = S+0T*CJ8-F5-F4-F6}
c
Dissolved Cd in periphyton layer
C = C+DT*(FL+FM+F0+FT+01-JZ-FK-FJ-FH-FI)
Q2
Algal biomass
02 = Q2+DT*(F8+JS-FD-FX-FP-FU-J4)
Q3
Macrophytic blomass
Q3 = Q3+DT*(F9+0T-FQ-FY-J2-FE-J5)
Q4
Consumer bionass
Q4 = Q4+0T*(09-FS-JB-f F-JP)
Q6
Oetrital-microbial blomass
Q5 = Q5+DT*(J2+FU+JB+JK-FR-F6+04+JP+J5-J6)
a
Bound Cd in algae
€2 = C2+DT*(FH-FL-FW-FV-0F)
C3
Bound Cd in macrophytes
C3 = C3+} >r *(fI-FZ-J3-FM-JG)
C4
Bound Cd in consumers
C4 » C4+0T*( FO-JQ-JI)
C5
Bound Cd in detritus-microbes
C5 = C5+0T*(J3+FV+FK-J1-JH-J7-FT+JD+JM)
N2
Dissolved nitrogen concentration
in stream
F1
JW
CA
Dibsu!v*;-ti Cd concentration in
F2
-Jw
-------
TABLE 1.6, {CONTINUED}
Model Parameter Description
HI Dissolved nitrogen concentration
in inflow water
CI Dissolved Cd concentration in
inflow water
CB Cd concentration in algae
CC Cd concentration in macrophytes
CD Cd concentration in consumers
CE Cd com .'it rat ion in detritus
and microbes
J0 _ Solar energy flux
JR Remaining solar flux (albedo)
JW Hater input
JN Dissolved nitrogen input
JC Cd input
PI Hitf 1 c„i
Equation
Constant, 15 ug H-L"1
Variable
C2
Q2
C3
w
C5
Q5
Sine function, 365 days;
maximum value s 6000 Cal*m"z*d_1
minimum value = 2720
J| = 0.7-TOTAL
JP-FA-FB-FC
Constant, 2443
Nl-JMj ,
Cl-JW
JN+J8-F4-F6
-------
TABLE B.6. (CONTINUED}
Model Parameter Description
F2 Cd flow
F3 Total dry matter export
F4 Nitrogen uptake by macrophytes
FS Kitrogeti uptake by algae
P8 Gross production by algae
F9 Gross production by macrophytes
FA Light absorption by algae
FB Light absorption by macrophytes
FC light absorption by detritus and
mi crobes
FD Algal respiration
FE Macrophyte respiration
FF Consumer respiration
FG Microbial respiration
FH Algal Cd uptake
Equation
JC+FL+FM+F0+FT+J1-FK-FJ-FH-FI
FP+FQ+FR+FS
K41 (F9-FE)
K6 *(F8-FD)
K8-N2-JR-Q2
K9-N2-JR-Q3
KA-F8
KB-F9
KC-Q5-JR
KD-Q2-JR
KE-Q3
KF*Q4'Q4
KG-Q5-(1-LE-CA)
-------
TABLE 8.6. {CONTINUED)
Model Parameter Description
FI Macrophytic Cd uptake
FJ Consumer Cd uptake
FK Detrltal-microblal Cd uptake
FL Algal Cd decay
FH Macrophytic Cd decay
FO Consumer Cd decay
FP Algal export
FQ Macrophyte export
FR Detrital-microbial export
FS Consumer export
FT Cd release in microbial
respiration
Fll Algal loss to detritus
FV Particulate Cd loss from algae
to detritus
FH Particulate Cd loss from algae
to consumers
ki"'kI+Ea'"Q3
K0-(naS)-Q4
KK-(ja^)-Q5
KL-C2
KM-C3'
K0»C4
KP-Q2 '
KQ-Q3 '
KR-Q5 ;
KS-Q4
FG'CE !
KU-Q2
CB(FLI+J4)
Equation
CB'FX
-------
li;:L£ e.6. (Cr ; flNUED)
Model Parameter Description " Equation
FX Algal consumption by consumers KX-Q2*Q4
FY •. .crophyte consumption by
consumers KY-Q3-Q4
FZ Particulate tv loss from micro-
phytes to consumers CC-FY
Jl Detrltal-microbial Cd decay L1*C5
J2 Macrophytlc loss to detritus L2*Q3
J3 Particulate Cd loss from macro-
phytes to detritus CC(J2+J5)
J4 Cd toxicity to algae L4*Q2*CA
J5 Cd toxicity to macrophytes L5*Q3'CA
J6 Detrltal-microbial consumption
by consumers L6*Q5-f}4
J? Particulate Cd loss from detritus-
microbes to consumers * CE-J8'
J8 Nitrogen remineralization from
microbial respiration 18-pG
J9 Total assimilation by consumers L9-(FX+FY+J6)
JB Consumer lo- - to detritus LB-Q4
-------
TABLE B.6. (CONTINUED)
Model Parameter Description
JD Particylate Cd loss from consumers
to detritus
OF Particulate Cd loss from algae
to export
Jfi Particulate Cd loss from macro-
phytes to export
JH Particulate Cd loss from detritus-
microbes to export
JI Particulate Cd loss from consumers
to export
JJ Total particulate Cd flow in export
JK Loss of unassinitiated 'food by
consumers to detritus
JL Assimilation of particulate Cd
by consumers
JH Loss of unassimilated particulate
Cd from consumers to detritus
JP Cd toxicity to consumers
JS Cd stimulation of algal
production
Equation
CD(JB+JP)
FP'CB
FQ-CC
FR-CE
FS'CD
JF+JG+JH+JI
FX+FY+J6-J9
L9*(FW+FZ+J7)
FW+FZ+J7-JL
LP'Q4«CA
LS-CA-F8
LU+CA
-------
TABLE 6.6. (CONTINUED)
Model Parameter Description Equation
it * rfl«pQ
JT Cd stimulation of microphytes TU+CA—
GP Total gross production F8+F9+JS+JT
RT Community respiration FD+FE+FF+FG
-------
TABLE B.7. LIST OF INITIAL CONDITIONS AND TRANSFER COEFFICIENTS USED IN
SIMULATION OF CD-STREAMS MODEL ILLUSTRATED IN FIGS, 6,6-6.10
Initial Conditions
Q2 0.1 q-m~z CA
Q3 1.0 r»"2 CI
Q4 0.1 Q-m-2 CB
Q5 0.1 g*m"2 „ CC
C2 0.1 ug Cd-m"2 CD
C3 1.0 ug Cd-nf2 CE
C4 0.1 Jjg Cd'nT2 J0
CS 0.1 ug Cd'm"2 JR
N2 0.015 mg N-L"1 JW
Transfer Coefficients
K1 200 ug Cd-L"1
K4 5 mg N*g_1
K6 5 mg N*g"l
K8 0.009 L-m2;Car1*mg N"1,
K9 0.0024 L*m-*Ca]"^*mg N~*
KA 143 Cal'g"1
KB 143 Cal-g"1
KC 0.003 m^-g"1
KD 6 x 10"5 m •Cal"1
KE 0.018 d"1
KF 0.03 d"1
KG 0.00012 d"1
KH ISO ug Cd-g-J-d"1
KI 100 ug Cd*g~i-jrl
KJ 8 ug Cd'g'-'d-1
KK 80 ug Cd*g"l"d"!
KL 0.045 d"1
KH 0.02 d"1
KO 0.0055 d"1
0.023 yg Cd-L"1
0.023-100.0 ug Cd-L"1
1.0 ug Cd*g"J
1.0 ug Cd-g~*
1.0 ug Cd* g*J
1.0 Pi Cd-g"1
3442 Calpm"^*d"|
3000 Cal•m-2-d"'
2443 L-m-Z-d"1
KP 0,008 d"1
KQ 0.008 d"1
m 0.008 d"1
KS 0.008 d"1
KU 0,06 d-1
KX 0.002? nr *d~ ;•§"*¦
KY 0.0015 m2'd"^*g"^
tl 0.065 d"1
L2 0.02 d"1 ,
14 0.003 L'd-1-vg Cd"1
L5 0.0015 L;d"l-ng Cd"1
L6 0,0007 ro2*d""^*g"^
L8 5 mg N-g"*
L9 0.3
LP 0.008 L-d"1-pg Cd'1
LB 0.015 d"1
LE 0.01 L'uQ Cd"1
LS 0.025
LT 0.025
LU 0.2 ug Cd-L"1
114
-------
|