was about 30 days; and it increased, for the tnterval from 30 to 60 days
postdetonation, to about 130 days.
The D+5-day concentrations can be compared
with assumed D+0 concentrations which would reconcile the difference between
Martin's estimate of

the plant

interception

factor and Miller and Lee's estimate

of the foliage contamination factor. This procedure suggests an average
weathering half-time of approximately 1.4 days during the interval from 0 to 5
days after fallout.

These observations lead us to the hypothesis that the decay-corrected concentration of a radionuclide in fallout-contaminated plant material is a very rapidly
declining exponential fumction of time at times soon after the contaminating
event but approaches a lower asymptote. As this hypothesis appears to be
correct, the effective rate at which a radionuclide is removed from surfaces
following external deposition cannot be expressed precisely by a single coefficient because the weathering half-time increases as a function of time after
contamination.
If the initial deposition is a heavy one, a significant fraction
of it (perhaps as much as 90 percent) may be removed by weathering in a matter
of hours, or a few days at most. A portion of what remains after this initial
period of fast weathering (something in the range of 10 to 60 percent) is so
tightly trapped that it cannot be removed even by vigorous washing (Romney
et al., 1963).
Presumably, this nonremovable fraction is composed predominately
of particles which are small and mechanically trapped on plant surfaces.
Plant Growth Rates
As indicated earlier, the growth of new plant tissue may dilute both the
external and the internal concentrations of plutonium or other transuranium
elements in plant materials. As different plant parts may grow at different
rates, it is obvious that the growth rate of interest with respect to external
contamination is the growth rate of leaves (and other edible parts formed
above ground),
If we assume that internal plutonium due to root uptake is
uniformly distributed to all parts of the plant, the growth rate of interest
with respect to dilution of root uptake is the overall growth rate, i.e., the
growth rate of leaves plus the growth rate of all other plant parts.
Plant growth is not a continuous process, nor is it the same for all species
in a given area or for all the parts of a given plant.
In the temperate zone,
at least, plant growth is confined to the warm season, and the rate of growth
1s not uniform throughout the growing season because different plant organs
develop at different times.
Ignoring the morphogenic aspects of plant growth
(1.e., the differentiation and development of structure), growth is most
simply conceived as an increase in biomass (i.e., dry weight of tissue per
unit area).
For annuals, the biomass at the beginning of the growing season
consists of seeds; for herbaceous perennials in which the aboveground parts
dite back during the winter, it consists mostly of roots and other belowground
parts; for woody perennials, it consists of roots and stems (mostly dead
tissue) plus, in the case of evergreens, leaves, and vestiges of fruits produced
the previous growing seasons.
In addition to these seasonal and spectes
variations, it is reasonable to suppose that the roots, stems, leaves, fruits,
and other organs of a given species grow at different times and at different
rates and that additional variations can be expected in response to environmental factors such as temperature, soil moisture, and availability of nutrients.

To attempt a mathematical description of vegetation growth which includes all
factors mentioned above (and others not mentioned above) would be a monumental
undertaking. What is needed at present ts a simple expression of growth rate,
as a continuous function, which will provide a reasonable but conservative
estimate of the potential, overall concentration of plutonium in plant materials
which have been contaminated externally by airborne deposits and/or internally
by root uptake from soil,
To obtain a rough estimate of growth rate, we can define s as follows:

».” In (1 + P,/B,)/365
where:
and

* is the growth rate coefficient averaged over the year (day7})y,
n is the net gain in biomass during a growing season (g/m*),
By is the biomass at the beginning of the growing season (g/m2).

Odum (1971) has estimated that the average gross primary productivity (GPP) of
deserts and tundras is about 200 kcal/m? per year. As the fraction of GPP
(0.2) used up in respiration does not appear as new tissue, the dilution
growth rate is proportional to 0.8 GPP = 160 kcal/m? per year. At 4.5 kcal/g
dry weight (Odum, 1971), this amounts to a net gain of P_ = 36 g/m?, approximately. The biomass of desert vegetation varies from plaice to place. The
mean biomass for Area 13 is B_ = 289 g/m? (Wallace and Romney, 1972).
Substi-

tuting these values of P_

and°B_

in Equation (9), 4

= 3x 107" day-!.

Assuming

internally deposited Pu Yo be uniformly distributed@above- and belowground,
this would be the value to use in Equation (8).
Assuming two-thirds of P_ to
be above ground and one-third below ground, the dilution growth rate for the
external (aboveground) component, Equation (7), would be he = 2x 107% day-!,

Root Uptake and Plant/Soil Concentration Factor
In order for plutonium to enter plants via root uptake, it must first reach
the roots.
Plowing, of course, accomplishes this "transport" quite rapidly by
mixing the soil, but the downward movement of plutonium in an undisturbed soil
profile is such a slow process that much of the plutonium deposited on the
surface may stay near the surface for many years. To circumvent the variability
inherent in these and other soil processes affecting the behavior of plutonium
in soils (factors reviewed by Price, 1973a; Francis, 1973), we have made the
simplifying and conservative assumption that plutonium deposited on soil is
diluted by only the top 5 cm of soil and that root uptake is related to the
resulting concentration in surface soil, i.e., the probable concentration of
Plutonium in the root-zone soil is deliberately overestimated.
Most of the available data (Price, 1973a; Francis, 1973) on plutonium uptake
by plants has been derived from short-term greenhouse experiments.
Typical
values thus derived for the plant/soil concentration factor range from 1073 to
10-®, Uptake has been shown to be enhanced by reduction of pH or addition of
chelating agents. There is some evidence that plutonium uptake by plants may
increase with time (Romney et al., 1970) and that the mobility of plutonium,
i.e., its ability to move in the soil and its availability for root uptake,

637
636

(9)

Select target paragraph3