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<strong>Seasonal</strong> <strong>Variation</strong> <strong>of</strong> <strong>Potentially</strong> <strong>M<strong>in</strong>eralizable</strong> <strong>Nitrogen</strong> <strong>in</strong> Four Cropp<strong>in</strong>g Systems 1<br />

ABSTRACT<br />

The concept <strong>of</strong> potentially m<strong>in</strong>eralizable N is discussed and data<br />

that support the identification <strong>of</strong> /V () as an active fraction <strong>of</strong> soil<br />

organic N are presented. Aerobic medium-term <strong>in</strong>cubations (13 weeks)<br />

were used to measure the potentially m<strong>in</strong>eralizable nitrogen (N a ) <strong>in</strong><br />

four cropp<strong>in</strong>g systems on four different occasions from early spr<strong>in</strong>g<br />

to late autumn. The cropp<strong>in</strong>g systems consisted <strong>of</strong> barley (Hordeum<br />

distichum L.) with no N fertilizers (BO), barley receiv<strong>in</strong>g 120 kg N<br />

ha~' yr~' (B120), meadow fescue (Festuca pratensis Hudson) ley<br />

receiv<strong>in</strong>g 120 + 80 kg N ha ~' yr~' (GL), and lucerne (Medicago<br />

sativa L.) ley with no N additions (LL). The amounts <strong>of</strong> N m<strong>in</strong>eralized<br />

dur<strong>in</strong>g the 13-week <strong>in</strong>cubations (37 °C) ranged from 188 to<br />

483 kg N ha ', and the cropp<strong>in</strong>g systems ranked <strong>in</strong> the order GL<br />

> LL > B120 > BO and showed a steady decl<strong>in</strong>e <strong>in</strong> all systems<br />

from spr<strong>in</strong>g to harvest and a subsequent <strong>in</strong>crease from harvest to<br />

autumn. The seasonal differences were as large as the differences<br />

between systems. Three related models were employed to describe<br />

the k<strong>in</strong>etics <strong>of</strong> N m<strong>in</strong>eralization dur<strong>in</strong>g the <strong>in</strong>cubations: (i) firstorder,<br />

(ii) two-component (sum <strong>of</strong> two first-order models), and (iii)<br />

a simplified special case <strong>of</strong> the two-component model. In all cases,<br />

the special case <strong>of</strong> the two-component model <strong>of</strong>fered the best description<br />

<strong>of</strong> the curves <strong>of</strong> accumulated m<strong>in</strong>eral N. Based on the m<strong>in</strong>eralization<br />

course and an observed relationship between literature<br />

values <strong>of</strong> /V 0 and the rate constant (k), it is hypothesized that the<br />

m<strong>in</strong>eralization is mediated by two dist<strong>in</strong>ct populations: an opportunistic,<br />

ma<strong>in</strong>ly immobile, population (bacteria) and a generalistic,<br />

mobile one (fungi), and that the k value is <strong>in</strong>fluenced both by the<br />

amount <strong>of</strong> substrate and its quality. The fact that the amount <strong>of</strong><br />

m<strong>in</strong>eralizable N decreases dur<strong>in</strong>g the grow<strong>in</strong>g season and <strong>in</strong>creases<br />

<strong>in</strong> autumn as a result <strong>of</strong> organic matter <strong>in</strong>put provides evidence for<br />

the existence <strong>of</strong> an active fraction <strong>of</strong> soil organic matter.<br />

Additional Index Words: barley, lucerne, meadow fescue, N models,<br />

microbial processes, soil organic matter, first-order k<strong>in</strong>etics.<br />

Bonde, T.A., and T. Rosswall. <strong>1987</strong>. <strong>Seasonal</strong> variation <strong>of</strong> potentially<br />

m<strong>in</strong>eralizable nitrogen <strong>in</strong> four cropp<strong>in</strong>g systems. Soil Sci. Soc.<br />

Am. J. 51:1508-1514.<br />

THE FIRST FORMULATION <strong>of</strong> the "nitrogen m<strong>in</strong>eralization<br />

potential C/V 0 )" concept and its associated<br />

rate constant (k), represent<strong>in</strong>g a description <strong>of</strong><br />

the N-m<strong>in</strong>eralization course dur<strong>in</strong>g a long-term (30<br />

weeks) aerobic <strong>in</strong>cubation, was presented by Stanford<br />

and Smith (1972). They regarded N Q as a def<strong>in</strong>able<br />

1<br />

Contribution from the project Ecology <strong>of</strong> Arable Land. The Role<br />

<strong>of</strong> Organisms <strong>in</strong> <strong>Nitrogen</strong> Cycl<strong>in</strong>g at the Swedish Univ. <strong>of</strong> Agricultural<br />

Sciences, Uppsala, Sweden. Received 11 Mar. 1986.<br />

2 Graduate Research Associate and Pr<strong>of</strong>essor, Dep. <strong>of</strong> Water <strong>in</strong><br />

Environment and Society, Univ. <strong>of</strong> L<strong>in</strong>kop<strong>in</strong>g, S-581 83 L<strong>in</strong>kop<strong>in</strong>g,<br />

Sweden, respectively.<br />

TORBEN A. BONDE AND THOMAS ROSSWALL 2<br />

quantity, and its proportion <strong>of</strong> total soil N as a variable<br />

affected by cropp<strong>in</strong>g practices, whereas the rate<br />

constant (k) was a true constant (0.054 week"') for the<br />

range <strong>of</strong> soils studied. These f<strong>in</strong>d<strong>in</strong>gs are generally accepted<br />

(Campbell et al., 1984), though there has been<br />

some discussion as to what N 0 represents and the universality<br />

<strong>of</strong> the k value (Juma et al., 1984). <strong>Nitrogen</strong>m<strong>in</strong>eralization<br />

potentials have been widely used as a<br />

means to determ<strong>in</strong>e the effect <strong>of</strong> various agricultural<br />

practices on soil fertility, such as N fertilization, tillage,<br />

crop rotations, and manure additions (Doran,<br />

1980; Campbell and Souster, 1982; Carter and Rennie,<br />

1982; El-Haris et al., 1983; Griff<strong>in</strong> and La<strong>in</strong>e, 1983).<br />

Similar aerobic <strong>in</strong>cubations also proved useful <strong>in</strong><br />

determ<strong>in</strong><strong>in</strong>g the effect pf temperature on N m<strong>in</strong>eralization<br />

dur<strong>in</strong>g long-term (Stanford et al., 1973a, 1975;<br />

Campbell et al., 1981) and moisture dur<strong>in</strong>g short-term<br />

<strong>in</strong>cubations (Stanford and Epste<strong>in</strong>, 1974; Cassman and<br />

Munns, 1980; Myers et al., 1982). The determ<strong>in</strong>ation<br />

<strong>of</strong> the effects <strong>of</strong> temperature and moisture led to an<br />

attempt to calculate N m<strong>in</strong>eralization <strong>in</strong> the field, us<strong>in</strong>g<br />

maximum m<strong>in</strong>eralization rates corrected for field<br />

temperature and moisture (Stanford et al., 1973b, 1977;<br />

Smith et al., 1977; Marion et al., 1981; Campbell et<br />

al., 1984).<br />

A more sophisticated employment <strong>of</strong> this concept<br />

would be the use <strong>of</strong> N 0 as an estimate <strong>of</strong> an active<br />

fraction <strong>in</strong> models describ<strong>in</strong>g temporal fluctuations <strong>in</strong><br />

soil organic matter both with regard to its quantity<br />

and quality. Such models have been developed, and<br />

<strong>in</strong> order to obta<strong>in</strong> realistic results, the soil organic<br />

matter has been divided <strong>in</strong>to three or four components<br />

(i.e., biomass-active, nonbiomass-active, slow,<br />

and passive) and usually two litter components (i.e.,<br />

labile and structural). The fractionation is based on<br />

turnover rates and used to model m<strong>in</strong>eralization and<br />

immobilization <strong>of</strong> soil N (Paul and Juma, 1981; van<br />

Veen and Frissel, 1981; Parton et al., 1983). There<br />

have, however, been difficulties <strong>in</strong> develop<strong>in</strong>g methods<br />

that can realistically quantify the components <strong>of</strong><br />

the model.<br />

Most authors have considered N 0 to be characteristic<br />

for a certa<strong>in</strong> cropp<strong>in</strong>g system and soil, and have<br />

not <strong>in</strong>vestigated possible seasonal patterns. If N Q is<br />

equivalent to a measure <strong>of</strong> an active fraction <strong>of</strong> soil<br />

organic matter, seasonal fluctuations should occur. If<br />

this is the case, the fraction <strong>of</strong> soil organic N represented<br />

by N 0 might supply a major portion <strong>of</strong> plant<br />

available N for crop growth. El-Haris et al. (1983),<br />

however, found twice as high N 0 values when sampl<strong>in</strong>g<br />

took place <strong>in</strong> mid-September as compared with


BONDE & ROSSWALL: NITROGEN IN FOUR CROPPING SYSTEMS 1509<br />

sampl<strong>in</strong>g <strong>in</strong> mid-March. The spr<strong>in</strong>g k values were a<br />

factor three higher than those from the autumn. Stanford<br />

et al. (1977) calculated a 20% reduction <strong>in</strong> N 0<br />

from April to September for a number <strong>of</strong> soils, but<br />

neither publication has analyzed the seasonal variation<br />

<strong>in</strong> any detail.<br />

The present study was conducted to (i) <strong>in</strong>vestigate<br />

whether N 0 could be considered a representative <strong>of</strong> an<br />

active fraction <strong>of</strong> soil organic matter, (ii) <strong>in</strong>vestigate<br />

whether the first-order k<strong>in</strong>etics represent a correct description<br />

<strong>of</strong> the m<strong>in</strong>eralization course, and (iii) <strong>in</strong>terpret<br />

the biological implications <strong>of</strong> the NQ concept based<br />

on the m<strong>in</strong>eralization course and published values <strong>of</strong><br />

NQ and k.<br />

MATERIALS AND METHODS<br />

Soils and Sampl<strong>in</strong>g<br />

Soil was collected from field experiments <strong>of</strong> the Ecology<br />

<strong>of</strong> Arable Land project, the research site <strong>of</strong> which is located<br />

at Kjettsl<strong>in</strong>ge, 40-km north <strong>of</strong> Uppsala, Sweden. The field<br />

is situated <strong>in</strong> a flatland area 25-m above sea level. It had<br />

been cropped for ca. 100 yr before <strong>in</strong>itiation <strong>of</strong> the experiment<br />

<strong>in</strong> 1980. The climate is cold-temperate and semihumid.<br />

Mean annual precipitation is 520 mm with the highest<br />

precipitation <strong>in</strong> August (70 mm). Mean annual<br />

temperature is 5.4 °C and monthly mean temperatures are<br />

— 5.3 and 16.7 °C for January and July, respectively (Steen<br />

et al., 1984). The top soil is a loam (Cumulic Haploboroll,<br />

illitic, frigid. USDA, Soil Survey Staff, 1975) with 19% clay,<br />

a pH <strong>of</strong> 6.3, and total C and N contents <strong>of</strong> 22 and 2.3 g<br />

kg~', respectively, at the start <strong>of</strong> the experiment. Detailed<br />

description <strong>of</strong> the experimental site is given by Steen et al.<br />

(1984).<br />

Four cropp<strong>in</strong>g systems were <strong>in</strong>vestigated: barley (Hordeum<br />

distichum L.) with no addition <strong>of</strong> N fertilizers (BO);<br />

barley receiv<strong>in</strong>g 120 kg N ha~' yr~' as Ca(NO 3 ) 2 (B120) on<br />

16 May 1984; meadow fescue (Festuca pratensis L.) ley receiv<strong>in</strong>g<br />

120 and 80 kg N ha -' yr~' (GL) on 16 May and 2<br />

July, respectively; and lucerne (Medicago saliva L.) ley without<br />

N fertilizer additions (LL).<br />

Each treatment had four replicates. From each <strong>in</strong>dividual<br />

plot, two soil cores were taken to a depth <strong>of</strong> 27 cm (plough<br />

layer) on 21 Apr., 7 June, 7 Aug., and 22 Oct. 1984. The<br />

samples were air-dried, mixed, and sieved (2 mm) to produce<br />

a replicate sample from each treatment.<br />

<strong>Nitrogen</strong>-m<strong>in</strong>eralization Procedure<br />

The apparatus employed <strong>in</strong> this study was similar to the<br />

one used by MacKay and Carefoot (1981), i.e., polystyrene<br />

filter units (150 mL; Filter unit 7103, Falcon, Oxnard, CA,<br />

USA) fitted with cellulose based filter membranes <strong>of</strong> 0.22-<br />

jum pore size with a bubbl<strong>in</strong>g po<strong>in</strong>t pressure (380 kPa) well<br />

above the applied suction (80 kPa).<br />

Soil subsamples (15 g) were mixed with equal amounts <strong>of</strong><br />

washed sand (0.6-mm mean gra<strong>in</strong> size) and rewetted with 3<br />

mL <strong>of</strong> distilled water followed by gentle mix<strong>in</strong>g. The mixtures<br />

were transferred to the filter units and covered by two<br />

layers <strong>of</strong> nylon nets (1-mm mesh size), and dur<strong>in</strong>g the leach<strong>in</strong>g<br />

procedure by a 2-cm layer <strong>of</strong> glass-wool pads held together<br />

by two layers <strong>of</strong> nylon net. The glasswool protected<br />

the soil from disaggregation dur<strong>in</strong>g leach<strong>in</strong>g. The leach<strong>in</strong>g<br />

solution consisted <strong>of</strong> 100-mL 0.01 MCaCl 2 , followed by 25-<br />

mL m<strong>in</strong>us-N nutrient solution (Stanford and Smith, 1972).<br />

In an <strong>in</strong>itial experiment, the 5-mL successive additions <strong>of</strong><br />

extractant recommended by Stanford and Smith (1972) dispersed<br />

the soil, and, <strong>in</strong> the end, partly clogged the filters.<br />

Such clogg<strong>in</strong>g would lead to erroneous moisture adjustments.<br />

To prevent this, a simple drip irrigation system was<br />

constructed consist<strong>in</strong>g <strong>of</strong> 150-mL funnels connected with<br />

the top center <strong>of</strong> the filter units. The tub<strong>in</strong>gs were fitted with<br />

clamps for dripp<strong>in</strong>g rate adjustment. A vacuum pump was<br />

connected to a manometer and through manifolds to the<br />

filter units. A leach<strong>in</strong>g rate <strong>of</strong> 250 mL h~' and a consistent<br />

suction <strong>of</strong> 80 kPa (600-mm Hg), extended by 15 m<strong>in</strong> after<br />

the end <strong>of</strong> leach<strong>in</strong>g, conserved soil structure and prevented<br />

filter clogg<strong>in</strong>g. This procedure ensured water contents close<br />

to optimum (20% <strong>of</strong> soil plus sand dry weight; Munro and<br />

MacKay, 1964; Keeney and Bremner, 1966). MacKay and<br />

Carefoot (1981) recommended an "overnight" procedure for<br />

adjust<strong>in</strong>g soil moisture, but a stable water content was<br />

reached almost immediately after leach<strong>in</strong>g, probably due to<br />

the sand amendments. The soil samples were <strong>in</strong>cubated at<br />

37 °C and leached 0, 1, 2, 3, 4, 6, 8, 10, and 13 weeks after<br />

the start <strong>of</strong> the experiment.<br />

Chemical Analyses<br />

M<strong>in</strong>eral N (NH 4 , NO 2 , and NO 3 ) was determ<strong>in</strong>ed by flow<br />

<strong>in</strong>jection analysis us<strong>in</strong>g an automated FIA 06 (Tecator AB,<br />

Hoganas, Sweden). Organic N <strong>in</strong> the leachates was measured<br />

accord<strong>in</strong>g to Jaenicke (1974) after perchlorate digestion.<br />

M<strong>in</strong>eralization Models<br />

The first-order model (Stanford and Smith, 1972) is represented<br />

<strong>in</strong> product-appearance form as follows:<br />

N m = N 0 [l - exp(-M] [1]<br />

where N m is the amount <strong>of</strong> N m<strong>in</strong>eralized at time t, N 0 is<br />

the <strong>in</strong>itial amount <strong>of</strong> potentially m<strong>in</strong>eralizable N, and k^ is<br />

the first-order rate constant. Because different fractions <strong>of</strong><br />

the organic N <strong>in</strong> the soil may be differentially susceptible to<br />

m<strong>in</strong>eralization, the first-order model is sometimes modified<br />

to a two-component model<br />

N m = N A [l - exp(-/2f)] + N R (l - [2]<br />

where Nj and NK are the amounts <strong>of</strong> organic N <strong>in</strong>itially<br />

present <strong>in</strong> the available and resistant fractions, respectively,<br />

and h and k are the first-order rate constants for the two<br />

fractions. The sum <strong>of</strong> N. t plus N R equals N 0 or N A = N&S<br />

where 5 is the fraction <strong>of</strong> N 0 belong<strong>in</strong>g to the available pool<br />

(L<strong>in</strong>deman and Cardenas, 1984). A model <strong>in</strong>termediate <strong>in</strong><br />

complexity between Eq. [1] and [2] can be derived as a special<br />

case, or as a degenerate form, from Eq. [2]<br />

N m = N A [\ - exp(-/zO] + Ct [3]<br />

where C = kN R . Equations [1], [2] and [3] were the models<br />

for N m<strong>in</strong>eralization evaluated <strong>in</strong> this study.<br />

Statistical Analysis<br />

The three models were fit to data on N m<strong>in</strong>eralization by<br />

nonl<strong>in</strong>ear regression us<strong>in</strong>g the method <strong>of</strong> Marquardt <strong>in</strong> the<br />

SAS (SAS Inst., 1982) s<strong>of</strong>tware package. The model <strong>of</strong>fer<strong>in</strong>g<br />

the most appropriate description <strong>of</strong> the data was selected on<br />

the basis <strong>of</strong> the residual sum <strong>of</strong> squares (RSS) left unexpla<strong>in</strong>ed<br />

by the regression. However, the model leav<strong>in</strong>g the<br />

lowest RSS was not always selected as the most justifiable.<br />

Because Eq. [3] is merely a special case <strong>of</strong> the two-component<br />

model (Eq. [2]), the latter will never leave an RSS higher<br />

than that <strong>of</strong> Eq. [3]. The first-order model can also be regarded<br />

as an approximation <strong>of</strong> Eq. [2], applicable <strong>in</strong> situations<br />

when either N R or k are effectively zero. Consequently,<br />

the first-order model could not be expected to leave a lower<br />

RSS than Eq. [3]. Therefore, the significance <strong>of</strong> the difference<br />

<strong>of</strong> the RSS left by the three models was subjected to an F<br />

test as described by Rob<strong>in</strong>son (1985).


1510 SOIL SCI. SOC. AM. J., VOL 51, <strong>1987</strong><br />

25-i<br />

_20-<br />

1 2 3 4 5 6 7<br />

TIME (WEEKS)<br />

1 2 3 4 5 6 7<br />

TIME (WEEKS)<br />

9 10 11 12 13<br />

10 11 12 13<br />

Fig. 1. Rate <strong>of</strong> N m<strong>in</strong>eralization dur<strong>in</strong>g 13 weeks <strong>of</strong> <strong>in</strong>cubation <strong>of</strong><br />

soils sampled from the grass ley (GL) cropp<strong>in</strong>g system on 7 June<br />

and 7 August. The horizontal bars represent the time period for<br />

which rates were calculated. The solid l<strong>in</strong>e represents GL 7 June<br />

and the broken l<strong>in</strong>e represents GL 7 August.<br />

RESULTS AND DISCUSSION<br />

M<strong>in</strong>eralization Rates<br />

An example <strong>of</strong> the weekly m<strong>in</strong>eral-N production rate<br />

dur<strong>in</strong>g the actual <strong>in</strong>cubation period is presented <strong>in</strong><br />

Fig. 1. In all cases, the (NO 3 + NO 2 )-N production<br />

rate decl<strong>in</strong>ed rapidly to about 10% <strong>of</strong> the <strong>in</strong>itial rate<br />

dur<strong>in</strong>g weeks 10 to 13, but <strong>in</strong> some cases there was<br />

no decl<strong>in</strong>e between weeks 3 and 4. The NH 4 -N production<br />

rate showed a sharp decl<strong>in</strong>e from week 1 (4<br />

mg kg" 1 week" 1 ) to very low levels dur<strong>in</strong>g weeks 2<br />

and 3 (1 mg kg~' week^ ')> then a rapid <strong>in</strong>crease dur<strong>in</strong>g<br />

week 4, followed by a level<strong>in</strong>g <strong>of</strong>f throughout the rest<br />

<strong>of</strong> the <strong>in</strong>cubation period. Standard error <strong>of</strong> means<br />

amounted to 8 to 12% <strong>of</strong> total m<strong>in</strong>eralized N on leach<strong>in</strong>gs<br />

performed at weeks 1 to 2, but decl<strong>in</strong>ed to 2 to<br />

5% on subsequent leach<strong>in</strong>gs, result<strong>in</strong>g <strong>in</strong> a cumulated<br />

standard error <strong>of</strong> 3 to 6% <strong>of</strong> cumulated m<strong>in</strong>eralized<br />

N. The error was ma<strong>in</strong>ly caused by low amounts <strong>of</strong><br />

m<strong>in</strong>eral N <strong>in</strong> a few replicates. The amounts <strong>of</strong> organic-<br />

N <strong>in</strong> the leachates were 10 to 20% <strong>of</strong> <strong>in</strong>organic N as<br />

measured on the <strong>in</strong>itial leach<strong>in</strong>gs. This was not further<br />

analyzed and excluded from the follow<strong>in</strong>g calculations.<br />

Future studies us<strong>in</strong>g this methodology should,<br />

however, <strong>in</strong>clude analyses <strong>of</strong> organic N s<strong>in</strong>ce we do<br />

not know if its proportion to total N <strong>in</strong> the leachate<br />

rema<strong>in</strong>s constant over time.<br />

Nitrate plus NO 2 -N constituted 80% <strong>of</strong> the total<br />

m<strong>in</strong>eral N <strong>in</strong> week 1, <strong>in</strong>creas<strong>in</strong>g to 90% <strong>in</strong> week 2,<br />

followed by a gradual decrease to 15 to 20% <strong>in</strong> week<br />

13 (Fig. 1). The reason for this shift from NO 3 as the<br />

major form <strong>of</strong> <strong>in</strong>organic N may be related to the general<br />

f<strong>in</strong>d<strong>in</strong>g that the temperature optimum for nitrification<br />

is very close to 35 °C (Bremner, 1965). Lower<br />

optima (20 °C) have been reported (Malhi and McGill,<br />

1982). In a number <strong>of</strong> temperate soils, Keeney and<br />

Bremner (1966) found a complete shift <strong>in</strong> the appearance<br />

<strong>of</strong> m<strong>in</strong>eral N <strong>in</strong> favor <strong>of</strong> NH 4 when the <strong>in</strong>cubation<br />

temperature was changed from 35 to 40 °C. P.<br />

Berg (1986, personal communication) did not, however,<br />

f<strong>in</strong>d 37 °C to be suboptimal for nitrification rates<br />

on the same soil as we used. The <strong>in</strong>cubation temperature<br />

<strong>of</strong> 37 °C could be slightly above optimum for<br />

nitrification and cause the <strong>in</strong>complete conversion <strong>of</strong><br />

NH 4 to NO 3 . This temperature was, however, preferred<br />

to decrease length <strong>of</strong> <strong>in</strong>cubation time. Temperature<br />

optima for m<strong>in</strong>eralization is not likely to be <<br />

37 °C (Myers, 1975). Therefore, m<strong>in</strong>eralization rates<br />

were probably not affected negatively by the <strong>in</strong>cubation<br />

conditions.<br />

As the aggregate size did not exceed 2 mm and the<br />

size <strong>of</strong> the <strong>in</strong>dividual sample was small, it did not<br />

seem likely that anaerobic conditions <strong>in</strong>hibited m<strong>in</strong>eralization<br />

or nitrification due to restricted O 2 diffusion<br />

<strong>in</strong>to aggregates (Sexstone et al., 1985) or that it<br />

caused significant denitrification.<br />

The Amount <strong>of</strong> M<strong>in</strong>eral N Produced dur<strong>in</strong>g a 13-<br />

week Incubation<br />

The amounts <strong>of</strong> N m<strong>in</strong>eralized from the samples<br />

collected <strong>in</strong> April were equal to 321, 371, 483, and 420<br />

kg ha" 1 for BO, B120, GL, and LL, respectively (Table<br />

1). The percentage <strong>of</strong> m<strong>in</strong>eralized N to total organic<br />

N was 4.2, 3.6, 5.0, and 4.8%. This can be compared<br />

with the estimate by Paul (1984), that the microbial<br />

biomass accounts for 4 to 6% <strong>of</strong> total organic N,<br />

whereas the active nonbiomass fraction accounts for<br />

6 to 10% <strong>of</strong> total organic N.<br />

The highest amount <strong>of</strong> m<strong>in</strong>eral N was produced <strong>in</strong><br />

soils from the grass ley irrespective <strong>of</strong> sampl<strong>in</strong>g date<br />

(Table 1). The lucerne ley, which fixed 291 kg N ha~'<br />

<strong>in</strong> 1983 (Wivstad et al., 1986), suffered from an unusually<br />

cold w<strong>in</strong>ter <strong>in</strong> 1983 to 1984 and only managed<br />

to partially recover dur<strong>in</strong>g the grow<strong>in</strong>g season, which<br />

is probably the cause for the relatively low m<strong>in</strong>eralization<br />

<strong>in</strong> samples collected <strong>in</strong> June and August. The<br />

results, thus, cannot be considered representative <strong>of</strong><br />

legume leys.<br />

The <strong>in</strong>fluence <strong>of</strong> fertilization and cropp<strong>in</strong>g practices<br />

on the amounts <strong>of</strong> m<strong>in</strong>eralizable N is <strong>in</strong> accordance<br />

with the f<strong>in</strong>d<strong>in</strong>gs <strong>of</strong> Stanford and Smith (1972), Doran<br />

(1980), and El-Haris et al. (1983). Increas<strong>in</strong>g additions<br />

<strong>of</strong> organic matter and N fertilizer <strong>in</strong>creases the m<strong>in</strong>eralization<br />

potentials and the proportion <strong>of</strong> total N<br />

present <strong>in</strong> the more available form <strong>of</strong> soil N.<br />

The decrease <strong>in</strong> m<strong>in</strong>eralized N from April to August<br />

was 133, 103, 153, and 165 kg ha~' for BO, B120, GL,<br />

and LL, respectively (Table 1), which is similar to cal-


BONDE & ROSSWALL: NITROGEN IN FOUR CROPPING SYSTEMS 1511<br />

Table 1. Total m<strong>in</strong>eral N produced dur<strong>in</strong>g a 13-week <strong>in</strong>cubation<br />

<strong>of</strong> top soil (0-27 cm) collected from four cropp<strong>in</strong>g systems<br />

at four sampl<strong>in</strong>g occasions.<br />

Sampl<strong>in</strong>g<br />

date<br />

21 April<br />

7 June<br />

7 August<br />

22 October<br />

Form <strong>of</strong><br />

m<strong>in</strong>eral N<br />

Total m<strong>in</strong>eral N<br />

(NO, + NOJ-N<br />

NH.-N<br />

Total m<strong>in</strong>eral N<br />

(NO, + NOJ-N<br />

NH.-N<br />

Total m<strong>in</strong>eral N<br />

(NO, + NOJ-N<br />

NH.-N<br />

Total m<strong>in</strong>eral N<br />

(NO, + NOJ-N<br />

NH 4 -N<br />

Cropp<strong>in</strong>g systemf<br />

BO B120 GL LL<br />

321adi<br />

190<br />

(120)§<br />

259ad<br />

117<br />

142<br />

188ae<br />

68<br />

121<br />

269ad<br />

140<br />

129<br />

Kg iia<br />

371abd 483cd<br />

232 338<br />

(139) (145)<br />

354bcde<br />

210<br />

144<br />

268abe<br />

119<br />

150<br />

SOOabde<br />

177<br />

124<br />

405cde<br />

255<br />

150<br />

330be<br />

185<br />

144<br />

364bde<br />

222<br />

141<br />

420bcd<br />

254<br />

(166)<br />

279abde<br />

104<br />

175<br />

255be<br />

89<br />

167<br />

299abde<br />

142<br />

157<br />

t BO = Barley without addition <strong>of</strong> N fertilizer; B120 = barley receiv<strong>in</strong>g<br />

120 kg N ha-' yr 1 ; GL = grass ley receiv<strong>in</strong>g 200 kg N ha' 1 yr 1 ; LL =<br />

lucerne ley receiv<strong>in</strong>g no N fertilization.<br />

t Means that do not differ significantly (p = 0.05) are followed by the same<br />

letter; a, b, c rows; d, e columns;<br />

§ An estimate based on the mean <strong>of</strong> the last three sampl<strong>in</strong>g dates.<br />

culated net m<strong>in</strong>eralization rates <strong>of</strong> 105, 128, 257, and<br />

211 kg ha~' yr- 1 for BO, B120, GL, and LL, respectively<br />

(Rosswall and Paustian, 1984). If N 0 is a def<strong>in</strong>able<br />

quantity and the only major source <strong>of</strong> m<strong>in</strong>eralizable<br />

N, a decrease <strong>in</strong> N 0 dur<strong>in</strong>g the grow<strong>in</strong>g season<br />

should equal the amount <strong>of</strong> N m<strong>in</strong>eralized. On a yearly<br />

basis this will, however, be an underestimation, s<strong>in</strong>ce<br />

autumn m<strong>in</strong>eralization is important despite an <strong>in</strong>crease<br />

<strong>in</strong> A^ due to addition <strong>of</strong> root litter and aboveground<br />

litter plowed under. In addition, our data<br />

probably underestimate net N m<strong>in</strong>eralization dur<strong>in</strong>g<br />

the grow<strong>in</strong>g season, s<strong>in</strong>ce the 13-week <strong>in</strong>cubations were<br />

too short to allow a statistically justifiable determ<strong>in</strong>ation<br />

<strong>of</strong> both N A and N R .<br />

Fertilizer N (120 kg) was applied on 16 May to the<br />

B120 and GL treatments, and the grass ley further<br />

received 80 kg <strong>of</strong> N on 2 July. Application <strong>of</strong> fertilizer<br />

N has been demonstrated to add to the m<strong>in</strong>eralizable<br />

soil N and, <strong>in</strong> particular, to the readily available pool<br />

<strong>of</strong> TV,, (El-Haris et al, 1983). Fertilization would then<br />

tend to prevent a decrease <strong>in</strong> the amount <strong>of</strong> m<strong>in</strong>eralizable<br />

N dur<strong>in</strong>g the grow<strong>in</strong>g season. To estimate net<br />

N m<strong>in</strong>eralization by a substrate disappearance method,<br />

it is thus necessary to take <strong>in</strong>to account possible additions<br />

to the substrate pool dur<strong>in</strong>g the period <strong>in</strong>vestigated.<br />

The amounts <strong>of</strong> organic N added through the system<br />

by root and aboveground litter <strong>in</strong>put have been<br />

estimated to be 40 and 55 kg ha~' yr" 1 for BO and<br />

B120, respectively (A.C. Hansson, 1986, personal<br />

communication). This amount is not sufficient to expla<strong>in</strong><br />

the observed <strong>in</strong>crease <strong>of</strong> the m<strong>in</strong>eralizable N<br />

fraction <strong>in</strong> BO from August to October (81 kg ha" 1 ).<br />

The larger amount might be caused by a period <strong>of</strong><br />

stimulated microbial activity after harvest, due to<br />

added C-rich crop residues, which would result <strong>in</strong><br />

greater immobilization <strong>of</strong> N and thus larger amounts<br />

<strong>of</strong> N <strong>in</strong> live and dead microbial cells and microbial<br />

metabolites (Campbell and Biederbeck, 1982). <strong>Nitrogen</strong><br />

<strong>in</strong> these forms are thought to be a large part <strong>of</strong><br />

the readily m<strong>in</strong>eralizable soil N (7V 0 ). This apparent<br />

5 6 7<br />

TIME (WEEKS)<br />

9 10 11 12 13<br />

Fig. 2. Accumulated amounts <strong>of</strong> m<strong>in</strong>eralized N dur<strong>in</strong>g 13 weeks <strong>of</strong><br />

<strong>in</strong>cubation <strong>of</strong> soils collected from four cropp<strong>in</strong>g systems on 7 June.<br />

Error brackets denote accumulated standard deviation.<br />

rise <strong>in</strong> the active part <strong>of</strong> soil N took place dur<strong>in</strong>g a<br />

period with net m<strong>in</strong>eralization and total N loss from<br />

the system (Bergstrom, 1986). The net effect <strong>in</strong> the N<br />

transformations dur<strong>in</strong>g this period is thus a decrease<br />

<strong>of</strong> the slow fraction rather than the active one. The<br />

smaller <strong>in</strong>crease <strong>in</strong> the m<strong>in</strong>eralizable fraction <strong>in</strong> B120<br />

(32 kg), <strong>in</strong> spite <strong>of</strong> a larger amount <strong>of</strong> litter added to<br />

the system, is surpris<strong>in</strong>g, but may be caused by a greater<br />

net immobilization <strong>of</strong> m<strong>in</strong>eral N <strong>in</strong> these plots.<br />

Cumulative N M<strong>in</strong>eralization Patterns<br />

Patterns <strong>of</strong> cumulative N m<strong>in</strong>eralization from soil<br />

samples collected on 7 June are shown for all four<br />

treatments <strong>in</strong> Fig. 2. The shapes <strong>of</strong> the m<strong>in</strong>eralization<br />

curves for soil samples collected on the other three<br />

dates were very similar to those <strong>in</strong> Fig. 2 and are not<br />

shown. The <strong>in</strong>itially high rates <strong>of</strong> N m<strong>in</strong>eralization <strong>in</strong><br />

soil samples collected from all four treatments at all<br />

four dates decl<strong>in</strong>ed to low, fairly constant rates by<br />

week 6 (Fig. 1), result<strong>in</strong>g <strong>in</strong> the apparently l<strong>in</strong>ear <strong>in</strong>crease<br />

<strong>in</strong> total cumulative <strong>in</strong>organic N after about week<br />

4 (Fig. 2).<br />

Stanford and Smith (1972) calculated an <strong>in</strong>itial N 0<br />

value and the k value on the basis <strong>of</strong> the curve <strong>of</strong><br />

accumulated m<strong>in</strong>eralized N from week 2 to week 30.<br />

The m<strong>in</strong>eralized N dur<strong>in</strong>g the first 2 weeks was added<br />

to the <strong>in</strong>itially calculated N 0 value, giv<strong>in</strong>g the f<strong>in</strong>al 7V 0 .<br />

This was motivated by a poor model fit to the data<br />

set if the first 2 weeks were <strong>in</strong>cluded, which was probably<br />

a result <strong>of</strong> pretreatment <strong>of</strong> soil samples. Numerous<br />

reports on the effect <strong>of</strong> air dry<strong>in</strong>g, siev<strong>in</strong>g, gr<strong>in</strong>d<strong>in</strong>g,<br />

and rewett<strong>in</strong>g are available (e.g., Birch, 1960;<br />

Agarwal et al., 1970). Soils respond to dry<strong>in</strong>g and rewett<strong>in</strong>g<br />

with a flush <strong>of</strong> C and N m<strong>in</strong>eralization <strong>of</strong> short<br />

duration, the magnitude depend<strong>in</strong>g on soil characteristics.<br />

To overcome the problem <strong>of</strong> an <strong>in</strong>itially rapid<br />

m<strong>in</strong>eralization rate, a two-component model (a sum<br />

<strong>of</strong> two first-order equations; Mol<strong>in</strong>a et al., 1980; Griff<strong>in</strong><br />

and La<strong>in</strong>e, 1983), a three-component model (Richter<br />

et al., 1982), or a modified one-component model<br />

(Marion et al., 1981) have been used. These models


1512 SOIL SCI. SOC. AM. J., VOL 51, <strong>1987</strong><br />

give good data fit, but are <strong>of</strong>ten not based on attempts<br />

to understand the underly<strong>in</strong>g biological mechanisms.<br />

The first-order and two-component models, <strong>in</strong>clud<strong>in</strong>g<br />

the simplified special case <strong>of</strong> the latter, were fit by<br />

nonl<strong>in</strong>ear regression to the data on soils from all four<br />

treatments on three <strong>of</strong> the four collection dates. The<br />

first sampl<strong>in</strong>g date was omitted due to difficulties <strong>in</strong><br />

NH 4 analyses (Table 1), and the data from this set <strong>of</strong><br />

samples were not used <strong>in</strong> the statistical analyses. The<br />

first-order model (Eq. [1]) never <strong>of</strong>fered as close a fit<br />

to the data as the special case <strong>of</strong> the two-component<br />

model (Eq. [3]). The latter always gave a statistically<br />

significant reduction <strong>in</strong> RSS over the variance left<br />

unexpla<strong>in</strong>ed by the first-order model. Moreover, the<br />

residuals left by fits <strong>of</strong> the first-order model were highly<br />

nonrandom. Nonrandom residuals are produced when<br />

data are fitted to a wrong model (Rob<strong>in</strong>son, 1985).<br />

The values <strong>of</strong> N,,, predicted us<strong>in</strong>g the first-order model<br />

were always lower than the first two or three data po<strong>in</strong>ts<br />

and the last two or four po<strong>in</strong>ts, and predicted values<br />

for <strong>in</strong>termediate sampl<strong>in</strong>g times were almost always<br />

higher than those observed. Therefore, the first-order<br />

model was judged to be an <strong>in</strong>adequate description <strong>of</strong><br />

the k<strong>in</strong>etics <strong>of</strong> N m<strong>in</strong>eralization observed <strong>in</strong> these experiments.<br />

Nonl<strong>in</strong>ear regression us<strong>in</strong>g the two-component<br />

model (Eq. [2]) <strong>in</strong>variably left unexpla<strong>in</strong>ed variance<br />

slightly lower than that <strong>of</strong> the special case (Eq. [3]),<br />

but the improvement <strong>in</strong> fit achieved by the two-component<br />

model was never statistically significant by the<br />

F test. The residuals left by the regressions us<strong>in</strong>g both<br />

models appeared to be random.<br />

At least two reasons can be <strong>of</strong>fered to account for<br />

the <strong>in</strong>ability <strong>of</strong> the two-component model to provide<br />

a significant improvement <strong>in</strong> fit over that <strong>of</strong>fered by<br />

its special case. The special case is a good approximation<br />

to the more complex two-component model<br />

when the length <strong>of</strong> time, over which data were collected,<br />

is short compared to the half-life <strong>of</strong> the resistant<br />

fraction <strong>of</strong> soil organic N. That is, the <strong>in</strong>itial N<br />

m<strong>in</strong>eralization from a large resistant fraction <strong>of</strong> soil<br />

N could appear to be l<strong>in</strong>ear rather than gradually decl<strong>in</strong><strong>in</strong>g.<br />

It is therefore possible that if the duration <strong>of</strong><br />

the <strong>in</strong>cubations had been doubled or tripled, the special<br />

case would no longer have closely approximated<br />

the two-component model and the latter would have<br />

proved statistically superior. Alternatively, if the<br />

number <strong>of</strong> sampl<strong>in</strong>g times dur<strong>in</strong>g the <strong>in</strong>cubations had<br />

been greatly <strong>in</strong>creased, the difference <strong>in</strong> RSS left by<br />

the two models might have become statistically significant,<br />

and, aga<strong>in</strong>, the two-component model could<br />

have emerged as the more justifiable description <strong>of</strong><br />

the observed patterns <strong>of</strong> N m<strong>in</strong>eralization. Therefore,<br />

the special case <strong>of</strong> the two-component model was<br />

judged to <strong>of</strong>fer the most statistically justifiable description<br />

<strong>of</strong> the k<strong>in</strong>etics <strong>of</strong> N m<strong>in</strong>eralization <strong>in</strong> these experiments.<br />

Accord<strong>in</strong>gly, the smooth curves <strong>in</strong> Fig. 2<br />

were calculated us<strong>in</strong>g the special case.<br />

It is also possible that the model, which has hitherto<br />

been considered merely a special case <strong>of</strong> the two-component<br />

model, may actually reflect more accurately<br />

the biological determ<strong>in</strong>ants <strong>of</strong> N-m<strong>in</strong>eralization k<strong>in</strong>etics<br />

<strong>in</strong> these experiments. A constant m<strong>in</strong>eralization<br />

rate may be due to a constant amount <strong>of</strong> enzymes (or<br />

no limitation due to enzymes) work<strong>in</strong>g on a constant<br />

amount <strong>of</strong> substrate. Filamentous fungi are able to<br />

grow on nutrient poor substrate, but hyphal outgrowth<br />

is then ma<strong>in</strong>ly accounted for by an <strong>in</strong>crease <strong>in</strong> amounts<br />

<strong>of</strong> ghost hyphae (hyphae without cytoplasm; Paustian<br />

and Schniirer, <strong>1987</strong>). An on-go<strong>in</strong>g colonization <strong>of</strong> new<br />

substrate by extension <strong>of</strong> fungal hyphae through the<br />

soil aggregates, result<strong>in</strong>g <strong>in</strong> ma<strong>in</strong>tenance <strong>of</strong> the active<br />

fungal population (i.e., no growth <strong>in</strong> terms <strong>of</strong> cytoplasmic<br />

content) would result <strong>in</strong> a constant m<strong>in</strong>eralization<br />

rate.<br />

An alternative explanation <strong>of</strong> the straight l<strong>in</strong>e phase<br />

would be the existence <strong>of</strong> an upper limit <strong>of</strong> the active<br />

microbial biomass due to, for example, protozoan<br />

graz<strong>in</strong>g rather than limitations to growth caused by<br />

substrate. Protozoa have been proposed to serve as<br />

m<strong>in</strong>eraliz<strong>in</strong>g agents by consum<strong>in</strong>g bacteria with concomitant<br />

release <strong>of</strong> NH 4 (Clarholm, 1984). Under certa<strong>in</strong><br />

circumstances they could prevent a given bacterial<br />

population to expand, e.g., out <strong>of</strong> protected<br />

microsites (van Veen et al, 1984), and thus limit the<br />

number to a constant level. An abiotic factor, such as<br />

clay fixation, might <strong>in</strong>terfere with the method employed<br />

for the study <strong>of</strong> m<strong>in</strong>eralization k<strong>in</strong>etics and<br />

should be taken <strong>in</strong>to account on NH 4 -fix<strong>in</strong>g soils.<br />

The size <strong>of</strong> the available soil organic matter (SOM)<br />

fraction (N A ) could be affected by air-dry<strong>in</strong>g and siev<strong>in</strong>g<br />

(thus partial gr<strong>in</strong>d<strong>in</strong>g) <strong>of</strong> the soil samples. In addition<br />

to particular available SOM, the N A fraction<br />

probably consists <strong>of</strong> killed microbial biomass and SOM<br />

rendered decomposable by the pretreatment (Jenk<strong>in</strong>son<br />

and Powlson, 1976; Powlson, 1980). However,<br />

Bottner (1985) identified a dormant (or protected) part<br />

<strong>of</strong> the microbial biomass, which survived dry<strong>in</strong>g,<br />

whereas an active (or exposed) part correspond<strong>in</strong>g to<br />

25% <strong>of</strong> total biomass suffered from dry<strong>in</strong>g but was able<br />

to recover. The surviv<strong>in</strong>g population probably consists<br />

ma<strong>in</strong>ly <strong>of</strong> bacteria and the killed population primarily<br />

<strong>of</strong> fungi. Based on these observations and the<br />

m<strong>in</strong>eralization pattern observed <strong>in</strong> this study we suggest<br />

the N A fraction to be decomposed by a surviv<strong>in</strong>g<br />

opportunistic group <strong>of</strong> organisms (r strategists; Andrews,<br />

1984). The ma<strong>in</strong> part <strong>of</strong> the protected biomass<br />

with limited access to organic matter will probably die<br />

dur<strong>in</strong>g the <strong>in</strong>cubation due to energy limitations and<br />

<strong>in</strong>crease the amount <strong>of</strong> easily decomposable organic<br />

matter. Hence, it is likely that a large part <strong>of</strong> the microbial<br />

biomass will decompose <strong>in</strong> a few weeks <strong>in</strong> a<br />

Stanford <strong>in</strong>cubation and that the composition <strong>of</strong> the<br />

microbial biomass will change <strong>in</strong> favor <strong>of</strong> the fungi.<br />

The fungal dom<strong>in</strong>ated biomass will be constant over<br />

a long period.<br />

Relationships between 7V 0 and k 0 Values<br />

The first-order equation was orig<strong>in</strong>ally used to describe<br />

the effect <strong>of</strong> cultivation <strong>of</strong> virg<strong>in</strong> soil on total<br />

soil N levels (Stevenson, 1965). This assumes that "the<br />

biological or biochemical potential to decompose organic<br />

matter is not limited" and that "the organic N-<br />

pool is <strong>in</strong>itially k<strong>in</strong>etically homogenous and rema<strong>in</strong>s<br />

so" (van Veen et al., 1981). Jansson (1958), among<br />

others, showed that the latter assumption is wrong,<br />

and proposed the existence <strong>of</strong> an active fraction <strong>of</strong> soil<br />

N, which is probably equivalent to the potentially mi-


BONDE & ROSSWALL: NITROGEN IN FOUR CROPPING SYSTEMS 1513<br />

neralizable pool. "Limited" <strong>in</strong> the former assumption<br />

implies that the biomass is at a maximum <strong>in</strong> relation<br />

to the amount <strong>of</strong> substrate, so that no <strong>in</strong>crease <strong>in</strong> biomass<br />

occurs at the start <strong>of</strong> the experiment.<br />

To <strong>in</strong>vestigate whether m<strong>in</strong>eralization rates are limited<br />

dur<strong>in</strong>g <strong>in</strong>cubation accord<strong>in</strong>g to Stanford and Smith<br />

(1972), literature values (Stanford and Smith 1972,<br />

Campbell et al., 1984) <strong>of</strong> A^ vs. k 0 for long-term (30<br />

weeks) <strong>in</strong>cubations have been plotted, but no significant<br />

correlation was found.<br />

An <strong>in</strong>verse relationship between A^ and k 0 values<br />

was evident when data from El-Haris et al. (1983) medium-term<br />

<strong>in</strong>cubations (12 weeks), were plotted. Small<br />

N 0 values were always associated with large k 0 values<br />

when sampl<strong>in</strong>g took place <strong>in</strong> spr<strong>in</strong>g as compared with<br />

values obta<strong>in</strong>ed when sampl<strong>in</strong>g took place <strong>in</strong> autumn.<br />

As the half-lives <strong>of</strong> the micrpbial biomass and the active<br />

nonbiomass soil organic matter have been estimated<br />

to be 0.5 and 1.5 yr, respectively (Paul, 1984),<br />

a relatively large amount <strong>of</strong> biomass N compared to<br />

nonbiomass active N would affect the k 0 value positively.<br />

An <strong>in</strong>verse relation between N 0 and ko values<br />

can thus be accomplished if the microbial biomass<br />

susta<strong>in</strong>s itself through w<strong>in</strong>ter and early spr<strong>in</strong>g at the<br />

expense <strong>of</strong> active nonbiomass soil organic matter.<br />

Schnurer et al. (1986) have not observed any marked<br />

seasonal dynamics <strong>of</strong> the microorganisms at the Kjettsl<strong>in</strong>ge<br />

field, and the variation <strong>in</strong> N 0 would then be<br />

caused ma<strong>in</strong>ly by changes <strong>in</strong> the amount <strong>of</strong> nonbiomass<br />

substrate.<br />

Carter and Rennie (1982) compared the flush <strong>of</strong> C<br />

and N after CHC1 3 fumigation concomitant with a determ<strong>in</strong>ation<br />

<strong>of</strong> A^o and t\ j2 (the "half-life" <strong>of</strong> N 0 ) on<br />

tilled and nontilled soils. This provides an experimental<br />

test <strong>of</strong> the proportionality between the biomass<br />

N/./VO ratio and k 0 . Biomass N can be calculated<br />

based on C and N flushes (Voroney, 1983), and the<br />

rate constant ko from the formula t\ /2 = In2/k 0 . Analysis<br />

<strong>of</strong> the data <strong>of</strong> Carter and Rennie (1982) showed<br />

no significant correlation between the biomass N/A'o<br />

ratio and k 0 , but did show a positive one for conventionally<br />

tilled soils. If one data po<strong>in</strong>t, represent<strong>in</strong>g a<br />

topsoil <strong>of</strong> a no-till treatment, was excluded, the correlation<br />

became significant (r = 0.530, p = 0.05, « =<br />

15) for the total data set. These data suggest that a<br />

major part <strong>of</strong> the microbial biomass is easily m<strong>in</strong>eralizable<br />

and provides some explanation for the observed<br />

relation between N 0 and ko values.<br />

A two- or multicomponent model, however, would<br />

be a better description <strong>of</strong> the m<strong>in</strong>eralization course,<br />

s<strong>in</strong>ce several fractions <strong>of</strong> organic matter are present<br />

<strong>in</strong> the soil. The s<strong>in</strong>gle k 0 value associated with the firstorder<br />

model is therefore proposed to be a mixture <strong>of</strong><br />

h and k values belong<strong>in</strong>g to a two-component model,<br />

as is NO a mixture <strong>of</strong> N A and N R . The m<strong>in</strong>eralization<br />

course <strong>in</strong> this study was well fitted by a simplified twocomponent<br />

model, mak<strong>in</strong>g it fallacious to determ<strong>in</strong>e<br />

a traditional N 0 and fc 0 value. However, the same tendency<br />

<strong>of</strong> hav<strong>in</strong>g a small ko value whenever a large N 0<br />

value occurs, is recognizable <strong>in</strong> the N A and h values.<br />

These parameters are comparable to the N 2 , k 2 values<br />

<strong>in</strong> the two-component model <strong>of</strong> Richter et al. (1982),<br />

<strong>in</strong> the data set <strong>of</strong> which the same pattern occurred<br />

(Fig. 3). Because the simplified two-component model<br />

was the most justifiable for the data presented <strong>in</strong> this<br />

4-1<br />

3-<br />

2-<br />

1-<br />

0^<br />

•- DATA FROM THIS PAPER<br />

x-DATA FROM RICHTER ET AL.I1982 )<br />

50 100 150<br />

N 2 or N A (kg ha ,-1i<br />

Fig. 3. Plot <strong>of</strong> the rate constant h vs. N A for the data from this paper,<br />

and * 2 and N, from Richter et al. (1982).<br />

paper, N A and h values should not suffer from errors<br />

caused by fitt<strong>in</strong>g <strong>of</strong> an <strong>in</strong>appropriate model. Thus, there<br />

may be a real biological mechanism generat<strong>in</strong>g the<br />

observed relationship.<br />

The f<strong>in</strong>d<strong>in</strong>gs <strong>of</strong> Paris et al. (1981), that first-order<br />

rate constants were proportional to bacterial numbers,<br />

might expla<strong>in</strong> the relationship between h and N A values<br />

presented <strong>in</strong> Fig. 3, if bacterial density varied between<br />

treatments and sampl<strong>in</strong>g dates. Based on their<br />

f<strong>in</strong>d<strong>in</strong>gs, a high bacterial density would be associated<br />

with a high measured value for h. In addition, a high<br />

bacterial density could develop at the expense <strong>of</strong> available<br />

soil organic matter, and therefore be associated<br />

with low N A values. However, an <strong>in</strong>verse relationship<br />

between bacterial density and available soil organic<br />

matter is not <strong>in</strong>evitable. Alternatively, a biological<br />

limitation on m<strong>in</strong>eralization imposed by the growth<br />

<strong>of</strong> active organisms <strong>in</strong> the early stages <strong>of</strong> <strong>in</strong>cubation<br />

would account for the relationship between h and N A ,<br />

even if a lag phase did not occur.<br />

ACKNOWLEDGMENT<br />

We are greatly <strong>in</strong>debted to Dr. S. Simk<strong>in</strong>s for many valuable<br />

discussions regard<strong>in</strong>g the statistical treatment. T.A.<br />

Bonde received f<strong>in</strong>ancial support from the Inst. <strong>of</strong> Genetics<br />

and Ecology, Univ. <strong>of</strong> Aarhus, Denmark. The <strong>in</strong>vestigation<br />

formed part <strong>of</strong> the project, Ecology <strong>of</strong> Arable Land. The<br />

Role <strong>of</strong> Organisms <strong>in</strong> <strong>Nitrogen</strong> Cycl<strong>in</strong>g, supported by the<br />

Swedish Council for Plann<strong>in</strong>g and Coord<strong>in</strong>ation <strong>of</strong> Res., the<br />

Swedish Council for Forestry and Agric. Res., the Swedish<br />

Natural Science Res. Council, and the Swedish Environment<br />

Protection Board.


1514 SOIL SCI. SOC. AM. J., VOL. 51, <strong>1987</strong>

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