Université Paris 1 Panthéon Sorbonne - M1 Economie Internationale - Topics in Environment
Keunming-Montreal Global Biodiversity Framework:
With scientific support from IPBEs
“Biological diversity”means the variability among living organisms from all sources including, inter alia, terrestrial, marine and other aquatic ecosystems and the ecological complexes of which they are part; this includes diversity within species, between species and of ecosystems
Article 2, Convention on Biological Diversity, 1992
For an overview of measures used, see Marcon, 2018 1
The concept of total economic value emerges from John Krutilla’s work (1967, Conservation Reconsidered):
Eyal Frank, The economic impacts of ecosystem disruptions: Costs from substituting biological pest control, Science, 2024
Causal study of the impact of the onset of white nose syndrom in the US using staggered difference in difference on pesticide use and infant health
\[ X_{t+1} = F(X_t) + X_t = G(X_t) \]
\[F(X_t) = rX_t \left(1 - \frac{X_t}{K}\right)\]
with \(r\) the intrinsic growth rate (for low population levels) and \(K\) the carrying capacity of the ecosystem (in tons)
We have an equilibrium when the population is not changing through time :
\[ \begin{align*} X_{t+1} &= X_t = X^*\\ \Rightarrow & X_{t+1} -X_t = F(X_t) = 0 \end{align*} \]
We’re looking at a convergence, a long term case, where things are no longer changing as determined by fixed external factors
\[\begin{align*} X_{t+1} - X_t &= F(X_t) - Y_t= F(X_t)-h(X_t, E_t) \end{align*}\]
An equilibrium fishing level, with the associated stock level is called sustainable yield if the fish growth is equal to the fish harvest
If \(Y_t>F(X_t)\), \(X_{t+1}<X_t\)
If \(Y_t<F(X_t)\), \(X_{t+1}>X_t\)
In equilibrium, \(h_t(X_t,E_t) = F(X_t)\)
The maximum sustainable yield is the maximal fishing level sustainable in the long term
Let :
p = 5
c = 2
# Define growth from effort
Croissance = function(Effort){
y = q*Effort * (1 - q/r*Effort)*K
return(y)
}
# Define monetary functions with negative return for optimization
profit = function(Effort, p_ = p , c_ = c){
y = p_*Croissance(Effort) - c_*Effort
return(-y)
}
marginal_revenue= function(Effort, p_ = p, c_ = c){
y = p*q*K*(1-2*Effort*q/r)
return(y)
}
# Run optimization with integrated solver
solution = optimize(profit, interval = c(0,K))
e_look = solution$minimum
# Create data.frame
data_fin <- data.frame(Effort = seq(0, 5, 0.01)) %>%
mutate(Croissance = Croissance(Effort)) %>%
mutate(Revenue = p * Croissance,
Cost = c * Effort) %>%
mutate("Marginal Revenue" = marginal_revenue(e_look) * (Effort - e_look) +
p * Croissance(e_look))%>% # Tangent equation
select(-Croissance)
# Treat data into tidy format
data_fin %>%
pivot_longer(-Effort, #Pivot to long format
values_to = "values",
names_to = "names")
# A tibble: 1,503 × 3
Effort names values
<dbl> <chr> <dbl>
1 0 Revenue 0
2 0 Cost 0
3 0 Marginal Revenue 20.2
4 0.01 Revenue 0.200
5 0.01 Cost 0.02
6 0.01 Marginal Revenue 20.3
7 0.02 Revenue 0.398
8 0.02 Cost 0.04
9 0.02 Marginal Revenue 20.3
10 0.03 Revenue 0.596
# ℹ 1,493 more rows
https://simon-jean.shinyapps.io/gordon_schaeffer/
Lire A Cautionary Note on Individual Transferable Quotas, R. Sumaila, Ecology and Society, 2010
In real life, when resources can be held in common (implies low cost of exclusion - alpine meadows, some inland fisheries (Turkey)), other management schemes can be used to foster good resource use, as shown by Elinor Ostrom
FAO, 2003:
An ecosystem-based fisheries approach strives to balance different societal objectives, taking into account both the knowledge and uncertainties about the biotic, abiotic, and human components of ecosystems and their interactions, and applying an integrated fisheries approach within ecological limits.
Is it better to have a more intensive (with high yields) agricultural system and set more land aside?
That’s land sparing
Or to have an less intensive (i.e extensive, with lower yield) agricultural system with less land aside?
That’s land sharing
That all depends on the relationship between land, yield and biodiversity :
Green et al. (2005), Phalan et al. (2011) : use empirical data that the relationship tends to be convex, promoting land sparing
Sparing tends to be favored in several ecosystems :
However :
Using agroecology :
T. West et al., Action needed to make carbon offsets from forest conservation work for climate change mitigation, Science, 2023
The seminal idea is basically : how would you fill Noah’s Ark?
\[ R_i = (D_i + U_i)\frac{\Delta P_i}{C_i}\]
Ando et al, Species Distributions, Land Values, and Efficient Conservation, Science, 1998
Use cost-effective analysis to guide conservation endeavors
\[\begin{align*} \min \sum_{j \in J}c_jx_j\\ \text{such that}\\ \sum_{j\in N_i}x_j\geq 1 \forall i \in I \end{align*}\] With \(J\) the index set of reserve sites, \(I\) index set of species to be covered, \(N_i\) the subset of \(J\) containing \(i\) and \(x_{j}=1(j \text{ is selected})\)
\[\begin{align*} \max \sum_{i \in I}y_i &\\ \text{such that } \\ \sum_{j \in N_i}x_j\geq y_i \forall i \in I \\ \text{ and } \sum_{j \in J}c_jx_j\leq b \end{align*}\]
Callaway & Sant’Anna, 2021
Two way fixed effects (TWFE) have been showed to be biased in the case of staggered treatment, because the standard estimator compares treated units to already treated units
TWFE : \(y_{it} = \mu +\alpha_i + \lambda_t + \delta D_{it} + \beta x_{it} + \epsilon_{it}\)
With \(\alpha_i\) a unit-specific fixed effect (capturing time-invariant differences across units) and \(\lambda_t\) a time-specific fixed effect (capturing shocks common to all units at a given time).
Their approach