Box 1.2 Equations
Equation 2.1: Calculation of Ecological Footprint of Consumption
EF C ¼ EF P + EF 1 À EF E
Corresponding with (the Footprint of consumption ¼ production + imports –
exports) associated with the product or waste
Equation 2.2: Calculation of biocapacity for Single Land Use Type
BC ¼ A Ã YF Ã IYF Ã EQF
Biocapacity of a given land-use type ¼ (its area within a country) (yield factor)
(intertemporal yield factor) (equivalence factor)
Equation 2.3: Ecological Footprint of Yearly Product Extraction or Waste
Generation
EF P ¼ P/Y N Ã YF Ã EQF Ã IY
Ecological Footprint associated with a product or waste ¼ (amount of product
extracted or waste generated/national average yield for product extraction
or waste generated) (yield factor of a given land-use type within a country)
(equivalent factor for given land-use type) (intertemporal yield factor of a
given land-use type)
Equation 2.3b: Ecological Footprint of Yearly Product Extraction or Waste
Generation (Simplified)
EF P ¼ P/Y W Ã EQF Ã IY
Substitute Y W (world average yield for product extraction or waste absorption)
for Y N and remove YF from Eq. 2.3
Equation 2.4: Calculation for Yield of Derived Products
Y
D
¼ Y
P
à EXTR
Yield of derived product ¼ (yield of parent product) (extraction rate)
Equation 6.1: PPR for Yield of Aquatic Species
PPR ¼ CC Ã DR Ã (1/TE)
(TL À 1)
Primary production required ¼ (carbon content of fish biomass ¼ 1/9
according to Pauly and Christensen 1995) (discard rate of bycatch ¼ 1.27,
applied to all fish species, according to Pauly and Christensen 1995)
(1/transfer efficiency of aquatic ecosystems ¼ 10% according to Pauly
and Christensen 1995) exp. (average fractional trophic level for given
species – 1)
Equation 6.2: Yield for Aquatic Species
Yield ¼ 1/PPR Ã APP
Yield for aquatic species or Y A ¼ (1/primary production requirement) (available primary productivity that can be sustainably harvested, based on the
estimate by Gulland (1971), from each hectare of continental shelf area *
PPR for world average harvested fish/area of continental shelf from World
Resources Institute Global Land Cover Classification Database)
(continued)
8
1 Introduction
Equation 2.1: Calculation of Ecological Footprint of Consumption
EF C ¼ EF P + EF 1 À EF E
Corresponding with (the Footprint of consumption ¼ production + imports –
exports) associated with the product or waste
Equation 2.2: Calculation of biocapacity for Single Land Use Type
BC ¼ A Ã YF Ã IYF Ã EQF
Biocapacity of a given land-use type ¼ (its area within a country) (yield factor)
(intertemporal yield factor) (equivalence factor)
Equation 2.3: Ecological Footprint of Yearly Product Extraction or Waste
Generation
EF P ¼ P/Y N Ã YF Ã EQF Ã IY
Ecological Footprint associated with a product or waste ¼ (amount of product
extracted or waste generated/national average yield for product extraction
or waste generated) (yield factor of a given land-use type within a country)
(equivalent factor for given land-use type) (intertemporal yield factor of a
given land-use type)
Equation 2.3b: Ecological Footprint of Yearly Product Extraction or Waste
Generation (Simplified)
EF P ¼ P/Y W Ã EQF Ã IY
Substitute Y W (world average yield for product extraction or waste absorption)
for Y N and remove YF from Eq. 2.3
Equation 2.4: Calculation for Yield of Derived Products
Y
D
¼ Y
P
à EXTR
Yield of derived product ¼ (yield of parent product) (extraction rate)
Equation 6.1: PPR for Yield of Aquatic Species
PPR ¼ CC Ã DR Ã (1/TE)
(TL À 1)
Primary production required ¼ (carbon content of fish biomass ¼ 1/9
according to Pauly and Christensen 1995) (discard rate of bycatch ¼ 1.27,
applied to all fish species, according to Pauly and Christensen 1995)
(1/transfer efficiency of aquatic ecosystems ¼ 10% according to Pauly
and Christensen 1995) exp. (average fractional trophic level for given
species – 1)
Equation 6.2: Yield for Aquatic Species
Yield ¼ 1/PPR Ã APP
Yield for aquatic species or Y A ¼ (1/primary production requirement) (available primary productivity that can be sustainably harvested, based on the
estimate by Gulland (1971), from each hectare of continental shelf area *
PPR for world average harvested fish/area of continental shelf from World
Resources Institute Global Land Cover Classification Database)
(continued)
8
1 Introduction