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Non-symbiotic BNF (NSBNF) is performed by free-living soil bacteria (e.g. Azotobacter, Clostridium), associative bacteria in the rhizosphere (e.g. Azospirillum), cyanobacteria in paddy soils, and endophytic bacteria (e.g. Gluconacetobacter in sugarcane).

The model calculates: $$NSBNF = NSBNF_{base} \times f_N \times f_T \times f_W \times f_{SOM} \times f_{pH} \times Area / 1000$$

Where \(NSBNF_{base}\) comes from the BNF data table (crop-specific: rice 33, sugarcane 25 kg N/ha/yr) or a default rate for general cropland.

Usage

calc_nonsymbiotic_bnf(
  x,
  nsbnf_default_kgha = 5,
  k_n_ns_synth = 0.005,
  k_n_ns_org = 0.0025,
  t_opt_ns = 25,
  t_sigma_ns = 10,
  k_som = 2,
  som_ref = 2.5,
  ph_opt = 6.8,
  ph_sigma = 1.5,
  k_clay = 20,
  clay_ref = 25
)

Arguments

x

Data frame. Required columns:

Area_ygpit_ha

Harvested area in hectares.

Optional columns (if absent, modifier = 1):

N_synth_kgha

Synthetic N fertilizer (kg N/ha).

N_org_kgha

Organic N inputs (kg N/ha).

TMP

Mean temperature (degrees C).

WaterInput_mm

Precipitation + irrigation (mm).

precip_mm

Precipitation (mm).

irrig_mm

Irrigation (mm).

PET_mm

Potential evapotranspiration (mm).

SOM_pct

Soil organic matter content (percent).

soil_pH

Soil pH.

kgNha

Crop-specific NSBNF base rate from BNF table. If absent and Name_biomass exists, joined automatically.

nsbnf_default_kgha

Numeric. Default NSBNF base rate for crops without a specific value in the BNF table (default 5 kg N/ha/yr). Based on Cleveland et al. (1999) for temperate agricultural soils.

k_n_ns_synth

Numeric. Rate constant for N inhibition of NSBNF by synthetic N (default 0.005). Stronger than symbiotic inhibition since free-living fixers avoid the energy cost of fixation when mineral N is available.

k_n_ns_org

Numeric. Rate constant for N inhibition of NSBNF by organic N (default 0.0025). Weaker than synthetic because organic N mineralizes slowly.

t_opt_ns

Numeric. Optimal temperature for non-symbiotic fixation (default 25).

t_sigma_ns

Numeric. Temperature Gaussian width (default 10). Broader than symbiotic (8) because diverse microbial communities provide thermal buffering.

k_som

Numeric. SOM half-saturation constant (default 2.0 percent).

som_ref

Numeric. Reference SOM for normalization (default 2.5 percent).

ph_opt

Numeric. Optimal pH (default 6.8).

ph_sigma

Numeric. pH Gaussian width (default 1.5).

k_clay

Numeric. Half-saturation constant for clay effect on NSBNF (default 20 percent clay).

clay_ref

Numeric. Reference clay content for normalization (default 25 percent, typical loam).

Value

Data frame with added columns:

NSBNF_base_kgha

Base rate before adjustment (kg N/ha).

f_N_ns

N inhibition factor.

f_temp_ns

Temperature factor.

f_water_ns

Water factor.

f_SOM_ns

SOM factor (normalized at som_ref).

f_pH_ns

pH factor.

f_clay_ns

Clay texture factor (normalized at clay_ref).

f_env_ns

Combined environmental factor.

NSBNF

Non-symbiotic BNF in Mg N.

Details

Estimates free-living and associative BNF in agricultural soils using crop-specific base rates and environmental modifiers for temperature, water availability, N inputs, soil organic matter, and soil pH.

**Base rates** from literature:

  • Rice paddies: 33 kg N/ha/yr (Ladha et al. 2016) - cyanobacteria and heterotrophic anaerobic fixation

  • Sugarcane: 25 kg N/ha/yr (Urquiaga et al. 2012) - endophytic fixation (Gluconacetobacter diazotrophicus)

  • General cropland: 5 kg N/ha/yr default (Cleveland et al. 1999)

**N inhibition** (Dynarski & Houlton 2018): At 100 kg N/ha, NSBNF reduces to ~61 percent of base. Free-living fixers avoid the energy cost of fixation when mineral N is available.

**SOM effect** (Reed et al. 2011; Dynarski & Houlton 2018): Heterotrophic fixers require carbon as energy source. Michaelis- Menten kinetics normalized at typical agricultural SOM (2.5 percent). High-SOM soils show enhanced NSBNF.

**pH effect** (Belnap 2002): Nitrogenase activity and microbial communities are sensitive to soil pH. Gaussian around optimal 6.8 with moderate decline in very acidic (pH < 5) or alkaline (pH > 8) soils.

References

Cleveland CC et al. (1999) Global Biogeochemical Cycles 13:623-645.

Dynarski KA, Houlton BZ (2018) New Phytologist 217:68-85.

Ladha JK et al. (2016) Scientific Reports 6:19355.

Reed SC et al. (2011) Annual Review of Ecology, Evolution, and Systematics 42:489-512.

Urquiaga S et al. (2012) Plant and Soil 356:5-21.

Examples

if (FALSE) { # \dontrun{
load_general_data()

# Basic: only area required, uses defaults
df |> calc_nonsymbiotic_bnf()

# With environmental data:
df |>
  dplyr::mutate(
    N_synth_kgha = 120, TMP = 22,
    precip_mm = 700, PET_mm = 850,
    SOM_pct = 3.2, soil_pH = 6.4
  ) |>
  calc_nonsymbiotic_bnf()
} # }