Table 1 Equation to quantify phosphorus efficiency (PUEa + c) and phosphorus loss (PL) from crop-livestock system by SFA model.

From: Sub-area classification of environmental phosphorus loss risk in Yunnan’s crop-livestock systems: a spatiotemporal analysis

\(\:{{PUE}}_{{c+a}}\)

\({{ = }}{{O_{{mainproduct}} } \mathord{\left/ {\vphantom {{O_{{mainproduct}} } {I_{{total}} }}} \right. \kern-\nulldelimiterspace} {I_{{total}} }}{{ \times 100}}\)

\(\:{O}_{mainproduct}\)

\(\:{=\,PI}{fer}{+\:PI}{if}{-PL}\)

\(\:{I}_{total}\)

\(\:{=\,}{\:PI}{fer}{+\:PI}{if}\)

\(\:{PL}\)

\(\:{=\,}{PO}{rf}{\:+PO}{le}{+PO}{manure-le}{+PO}{soil}\)

Where,

 

\(\:{O}_{mainproduct}\)

Output of P in main product from crop and animal production

I_total

Total P input from crop and livestock system

PIfer

Input of P via synthetic fertilizer including single and compound fertilizer

PIif

Input of P to animal production via feed from outside the municipality

POmain−crop

Output of P via main crop products from crop production

POst

Output of P via straw from crop production

PIlf

Input of P to animal production via local feed

POAMMP

Output of P via main animal products from animal production

POAMSP

Output of P via animal by-products from animal production

POmanure

Output of P via animal manure

PIam

Input of P via animal manure application on land

PIst

Input of P via straw retuning to the land

POsoil

Output of P via accumulated in soil

POrf

Output of P via runoff and erosion

POle

Output of P via leaching

POmanure−le

Output of P via animal manure directly discharge into surface water